TOMS648_NSD_PRB: Example run of ACM TOMS Algorithm 648 non-stiff sample ODE's. Double precision arithmetic. RUN NUMBER ONE NONSTIFF DETEST PACKAGE OPTION= 2, NORMEF= 0, NRMTYP= 1 ON Dec Alpha GROUP 1 DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS A1 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 56 7 0.05 0.05 -4.00 0.000 0.000 104 13 0.00 0.01 -6.00 0.000 0.000 184 23 0.00 0.01 -8.00 0.000 0.000 352 44 0.00 0.01 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 5.350E-02 *(TOL** 1.109) APPROX, R.M.S. RESIDUAL= 2.0E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 5.350E-02 *(TOL** 1.109) APPROX, R.M.S. RESIDUAL= 2.0E-01 OVER 4 VALUES A2 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 48 6 0.23 5.14 -4.00 0.000 0.000 64 8 0.68 7.53 -6.00 0.000 0.000 87 10 9.74 22.23 -8.00 0.000 0.000 160 20 6.56 6.73 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 7.500E-02 *(TOL** 0.725) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 5.43 *(TOL** 0.959) APPROX, R.M.S. RESIDUAL= 2.2E-01 OVER 4 VALUES A3 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 131 12 16.50 16.48 -4.00 0.000 0.000 264 26 2.24 2.90 -6.00 0.000 0.000 530 54 16.47 16.45 -8.00 0.000 0.000 1067 115 5.74 5.74 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 10.3 *(TOL** 1.025) APPROX, R.M.S. RESIDUAL= 3.6E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 11.7 *(TOL** 1.031) APPROX, R.M.S. RESIDUAL= 3.1E-01 OVER 4 VALUES A4 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 32 4 0.39 0.93 -4.00 0.000 0.000 63 7 0.50 1.17 -6.00 0.000 0.000 126 14 0.79 1.61 -8.00 0.000 0.000 238 28 0.94 1.73 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 0.283 *(TOL** 0.933) APPROX, R.M.S. RESIDUAL= 2.4E-02 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 0.767 *(TOL** 0.953) APPROX, R.M.S. RESIDUAL= 2.3E-02 OVER 4 VALUES A5 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 32 4 0.02 0.03 -4.00 0.000 0.000 40 5 5.11 5.13 -6.00 0.000 0.000 79 9 130.99 130.96 -8.00 0.000 0.000 159 19 67.58 67.55 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 6.758E-03 *(TOL** 0.414) APPROX, R.M.S. RESIDUAL= 6.6E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 7.321E-03 *(TOL** 0.419) APPROX, R.M.S. RESIDUAL= 6.5E-01 OVER 4 VALUES SUMMARY OVER GROUP 1 LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 299 33 16.50 16.48 -4.00 0.000 0.000 535 59 5.11 7.53 -6.00 0.000 0.000 1006 110 130.99 130.96 -8.00 0.000 0.000 1976 226 67.58 67.55 GROUP 2 DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS B1 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 278 26 166.40 296.72 -4.00 0.000 0.000 491 50 1.34 41.91 -6.00 0.000 0.000 961 100 18.77 88.66 -8.00 0.000 0.000 1825 208 66.33 283.48 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 23.6 *(TOL** 1.003) APPROX, R.M.S. RESIDUAL= 7.9E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 114. *(TOL** 0.987) APPROX, R.M.S. RESIDUAL= 3.6E-01 OVER 4 VALUES B2 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 150 17 0.00 0.18 -4.00 0.000 0.000 190 22 0.00 0.18 -6.00 0.000 0.000 263 32 0.00 0.03 -8.00 0.000 0.000 472 59 0.01 0.01 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 1.000E-02 *(TOL** 1.000) APPROX, R.M.S. RESIDUAL= 0.0E+00 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 0.767 *(TOL** 1.230) APPROX, R.M.S. RESIDUAL= 1.7E-01 OVER 4 VALUES B3 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 64 8 0.07 1.09 -4.00 0.000 0.000 112 14 0.02 1.27 -6.00 0.000 0.000 208 26 0.04 1.11 -8.00 0.000 0.000 400 50 0.18 1.10 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 2.546E-02 *(TOL** 0.927) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 1.17 *(TOL** 1.003) APPROX, R.M.S. RESIDUAL= 2.7E-02 OVER 4 VALUES B4 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 731 80 218.55 295.13 -4.00 0.000 0.000 309 36 49.74 48.52 -6.00 0.000 0.000 626 73 198.81 197.36 -8.00 0.000 0.000 1245 153 251.17 249.83 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 97.3 *(TOL** 0.961) APPROX, R.M.S. RESIDUAL= 2.7E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 130. *(TOL** 0.980) APPROX, R.M.S. RESIDUAL= 3.1E-01 OVER 4 VALUES B5 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 147 14 53.75 59.24 -4.00 0.000 0.000 251 27 7.43 9.47 -6.00 0.000 0.000 532 56 19.07 28.36 -8.00 0.000 0.000 1018 115 18.39 26.44 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 34.2 *(TOL** 1.049) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 35.5 *(TOL** 1.029) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES SUMMARY OVER GROUP 2 LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 1370 145 218.55 296.72 -4.00 0.000 0.000 1353 149 49.74 48.52 -6.00 0.000 0.000 2590 287 198.81 197.36 -8.00 0.000 0.000 4960 585 251.17 283.48 SUMMARY OVER ALL GROUPS DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS LOG10 TIME OVHD FCN NO OF TOL CALLS STEPS -2.00 0.000 0.000 1669 178 -4.00 0.000 0.000 1888 208 -6.00 0.000 0.000 3596 397 -8.00 0.000 0.000 6936 811 OVERALL SUMMARY 0.000 0.000 14089 1594 RUN NUMBER TWO NONSTIFF DETEST PACKAGE OPTION= 3, NORMEF= 0, NRMTYP= 1 ON Dec Alpha GROUP 1 DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS A1 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 56 7 0.05 0.05 0.053 0.000 0.000 -4.00 0.000 0.000 104 13 0.00 0.01 0.008 0.000 0.000 -6.00 0.000 0.000 184 23 0.00 0.01 0.008 0.000 0.000 -8.00 0.000 0.000 352 44 0.00 0.01 0.006 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 5.350E-02 *(TOL** 1.109) APPROX, R.M.S. RESIDUAL= 2.0E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 5.350E-02 *(TOL** 1.109) APPROX, R.M.S. RESIDUAL= 2.0E-01 OVER 4 VALUES A2 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 48 6 0.23 5.14 5.139 0.167 0.167 -4.00 0.000 0.000 64 8 0.68 7.53 7.527 0.250 0.125 -6.00 0.000 0.000 87 10 9.74 22.23 22.217 0.800 0.500 -8.00 0.000 0.000 160 20 6.56 6.73 2.981 1.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 7.500E-02 *(TOL** 0.725) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 5.43 *(TOL** 0.959) APPROX, R.M.S. RESIDUAL= 2.2E-01 OVER 4 VALUES A3 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 131 12 16.50 16.48 2.062 0.167 0.000 -4.00 0.000 0.000 264 26 2.24 2.90 1.002 0.038 0.000 -6.00 0.000 0.000 530 54 16.47 16.45 2.476 0.037 0.000 -8.00 0.000 0.000 1067 115 5.74 5.74 0.691 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 10.3 *(TOL** 1.025) APPROX, R.M.S. RESIDUAL= 3.6E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 11.7 *(TOL** 1.031) APPROX, R.M.S. RESIDUAL= 3.1E-01 OVER 4 VALUES A4 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 32 4 0.39 0.93 0.915 0.000 0.000 -4.00 0.000 0.000 63 7 0.50 1.17 0.403 0.000 0.000 -6.00 0.000 0.000 126 14 0.79 1.61 0.189 0.000 0.000 -8.00 0.000 0.000 238 28 0.94 1.73 0.210 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 0.283 *(TOL** 0.933) APPROX, R.M.S. RESIDUAL= 2.4E-02 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 0.767 *(TOL** 0.953) APPROX, R.M.S. RESIDUAL= 2.3E-02 OVER 4 VALUES A5 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 32 4 0.02 0.03 0.025 0.000 0.000 -4.00 0.000 0.000 40 5 5.11 5.13 0.957 0.000 0.000 -6.00 0.000 0.000 79 9 130.99 130.96 26.934 0.111 0.111 -8.00 0.000 0.000 159 19 67.58 67.55 12.364 0.105 0.053 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 6.758E-03 *(TOL** 0.414) APPROX, R.M.S. RESIDUAL= 6.6E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 7.321E-03 *(TOL** 0.419) APPROX, R.M.S. RESIDUAL= 6.5E-01 OVER 4 VALUES SUMMARY OVER GROUP 1 LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 299 33 16.50 16.48 5.139 0.091 0.030 -4.00 0.000 0.000 535 59 5.11 7.53 7.527 0.051 0.017 -6.00 0.000 0.000 1006 110 130.99 130.96 26.934 0.100 0.055 -8.00 0.000 0.000 1976 226 67.58 67.55 12.364 0.097 0.004 GROUP 2 DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS B1 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 278 26 166.40 296.72 19.068 0.385 0.192 -4.00 0.000 0.000 491 50 1.34 41.91 4.742 0.360 0.000 -6.00 0.000 0.000 961 100 18.77 88.66 4.725 0.300 0.000 -8.00 0.000 0.000 1825 208 66.33 283.48 4.216 0.130 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 23.6 *(TOL** 1.003) APPROX, R.M.S. RESIDUAL= 7.9E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 114. *(TOL** 0.987) APPROX, R.M.S. RESIDUAL= 3.6E-01 OVER 4 VALUES B2 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 150 17 0.00 0.18 0.183 0.000 0.000 -4.00 0.000 0.000 190 22 0.00 0.18 0.178 0.000 0.000 -6.00 0.000 0.000 263 32 0.00 0.03 0.027 0.000 0.000 -8.00 0.000 0.000 472 59 0.01 0.01 0.007 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 1.000E-02 *(TOL** 1.000) APPROX, R.M.S. RESIDUAL= 0.0E+00 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 0.767 *(TOL** 1.230) APPROX, R.M.S. RESIDUAL= 1.7E-01 OVER 4 VALUES B3 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 64 8 0.07 1.09 1.085 0.125 0.000 -4.00 0.000 0.000 112 14 0.02 1.27 0.974 0.000 0.000 -6.00 0.000 0.000 208 26 0.04 1.11 0.449 0.000 0.000 -8.00 0.000 0.000 400 50 0.18 1.10 0.219 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 2.546E-02 *(TOL** 0.927) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 1.17 *(TOL** 1.003) APPROX, R.M.S. RESIDUAL= 2.7E-02 OVER 4 VALUES B4 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 731 80 218.55 295.13 9.562 0.500 0.125 (LOC ASSESS ON 8) TRUE-SOLUTION OF TEST PACKAGE FAILED AT X = 9.01808E+00, ERROR FLAG (GLOBAL) 3, (LOCAL) -1 -4.00 0.000 0.000 309 36 49.74 48.52 1.544 0.222 0.000 -6.00 0.000 0.000 626 73 198.81 197.36 0.791 0.000 0.000 -8.00 0.000 0.000 1245 153 251.17 249.83 0.375 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 97.3 *(TOL** 0.961) APPROX, R.M.S. RESIDUAL= 2.7E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 11.4 *(TOL** 0.822) APPROX, R.M.S. RESIDUAL= 1.2E-01 OVER 4 VALUES B5 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 147 14 53.75 59.24 7.175 0.357 0.071 -4.00 0.000 0.000 251 27 7.43 9.47 1.011 0.037 0.000 -6.00 0.000 0.000 532 56 19.07 28.36 0.967 0.000 0.000 -8.00 0.000 0.000 1018 115 18.39 26.44 0.582 0.000 0.000 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 34.2 *(TOL** 1.049) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 35.5 *(TOL** 1.029) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES SUMMARY OVER GROUP 2 LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM MAXIMUM FRACTION FRACTION TOL CALLS STEPS GLB ERR GLB ERR LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 1370 145 218.55 296.72 19.068 0.274 0.096 (LOC ASSESS ON 73) -4.00 0.000 0.000 1353 149 49.74 48.52 4.742 0.181 0.000 -6.00 0.000 0.000 2590 287 198.81 197.36 4.725 0.105 0.000 -8.00 0.000 0.000 4960 585 251.17 283.48 4.216 0.046 0.000 SUMMARY OVER ALL GROUPS DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS LOG10 TIME OVHD FCN NO OF MAXIMUM FRACTION FRACTION TOL CALLS STEPS LOC ERR DECEIVED BAD DECV -2.00 0.000 0.000 1669 178 19.068 0.217 0.075 (LOC ASSESS ON 106) -4.00 0.000 0.000 1888 208 7.527 0.144 0.005 -6.00 0.000 0.000 3596 397 26.934 0.103 0.015 -8.00 0.000 0.000 6936 811 12.364 0.060 0.001 OVERALL SUMMARY 0.000 0.000 14089 1594 26.934 0.094 0.011 RUN NUMBER THREE NONSTIFF DETEST PACKAGE OPTION= 2, NORMEF= 2, NRMTYP= 1 ON Dec Alpha GROUP 1 DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS A1 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 56 7 0.05 0.05 -4.00 0.000 0.000 104 13 0.00 0.01 -6.00 0.000 0.000 184 23 0.00 0.01 -8.00 0.000 0.000 352 44 0.00 0.01 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 5.350E-02 *(TOL** 1.109) APPROX, R.M.S. RESIDUAL= 2.0E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 5.350E-02 *(TOL** 1.109) APPROX, R.M.S. RESIDUAL= 2.0E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -4 -2.46 0.000 0.000 67 8 10** -5 -3.36 0.000 0.000 88 11 10** -6 -4.26 0.000 0.000 114 14 10** -7 -5.16 0.000 0.000 150 18 10** -8 -6.07 0.000 0.000 189 23 10** -9 -6.97 0.000 0.000 265 33 10**-10 -7.87 0.000 0.000 340 42 A2 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 48 6 0.23 5.14 -4.00 0.000 0.000 64 8 0.68 7.53 -6.00 0.000 0.000 87 10 9.74 22.23 -8.00 0.000 0.000 160 20 6.56 6.73 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 7.500E-02 *(TOL** 0.725) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 5.43 *(TOL** 0.959) APPROX, R.M.S. RESIDUAL= 2.2E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -2 -2.85 0.000 0.000 54 6 10** -3 -3.90 0.000 0.000 63 7 10** -4 -4.94 0.000 0.000 74 8 10** -5 -5.98 0.000 0.000 86 9 10** -6 -7.02 0.000 0.000 124 15 10** -7 -8.07 0.000 0.000 162 20 A3 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 131 12 16.50 16.48 -4.00 0.000 0.000 264 26 2.24 2.90 -6.00 0.000 0.000 530 54 16.47 16.45 -8.00 0.000 0.000 1067 115 5.74 5.74 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 10.3 *(TOL** 1.025) APPROX, R.M.S. RESIDUAL= 3.6E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 11.7 *(TOL** 1.031) APPROX, R.M.S. RESIDUAL= 3.1E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -1 -2.01 0.000 0.000 131 12 10** -2 -2.98 0.000 0.000 195 18 10** -3 -3.95 0.000 0.000 260 25 10** -4 -4.92 0.000 0.000 385 38 10** -5 -5.89 0.000 0.000 514 52 10** -6 -6.86 0.000 0.000 759 80 10** -7 -7.83 0.000 0.000 1020 109 A4 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 32 4 0.39 0.93 -4.00 0.000 0.000 63 7 0.50 1.17 -6.00 0.000 0.000 126 14 0.79 1.61 -8.00 0.000 0.000 238 28 0.94 1.73 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 0.283 *(TOL** 0.933) APPROX, R.M.S. RESIDUAL= 2.4E-02 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 0.767 *(TOL** 0.953) APPROX, R.M.S. RESIDUAL= 2.3E-02 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -2 -1.98 0.000 0.000 31 3 10** -3 -3.03 0.000 0.000 47 5 10** -4 -4.08 0.000 0.000 65 7 10** -5 -5.13 0.000 0.000 98 10 10** -6 -6.18 0.000 0.000 135 15 10** -7 -7.23 0.000 0.000 194 22 A5 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 32 4 0.02 0.03 -4.00 0.000 0.000 40 5 5.11 5.13 -6.00 0.000 0.000 79 9 130.99 130.96 -8.00 0.000 0.000 159 19 67.58 67.55 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 6.758E-03 *(TOL** 0.414) APPROX, R.M.S. RESIDUAL= 6.6E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 7.321E-03 *(TOL** 0.419) APPROX, R.M.S. RESIDUAL= 6.5E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -3 -2.06 0.000 0.000 32 4 10** -4 -4.45 0.000 0.000 48 5 10** -5 -6.84 0.000 0.000 112 13 SUMMARY OVER GROUP 1 LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 299 33 16.50 16.48 -4.00 0.000 0.000 535 59 5.11 7.53 -6.00 0.000 0.000 1006 110 130.99 130.96 -8.00 0.000 0.000 1976 226 67.58 67.55 GROUP 2 DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS B1 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 278 26 166.40 296.72 -4.00 0.000 0.000 491 50 1.34 41.91 -6.00 0.000 0.000 961 100 18.77 88.66 -8.00 0.000 0.000 1825 208 66.33 283.48 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 23.6 *(TOL** 1.003) APPROX, R.M.S. RESIDUAL= 7.9E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 114. *(TOL** 0.987) APPROX, R.M.S. RESIDUAL= 3.6E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** 0 -2.08 0.000 0.000 287 27 10** -1 -3.10 0.000 0.000 394 39 10** -2 -4.11 0.000 0.000 517 52 10** -3 -5.13 0.000 0.000 755 78 10** -4 -6.14 0.000 0.000 1020 107 10** -5 -7.15 0.000 0.000 1458 162 B2 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 150 17 0.00 0.18 -4.00 0.000 0.000 190 22 0.00 0.18 -6.00 0.000 0.000 263 32 0.00 0.03 -8.00 0.000 0.000 472 59 0.01 0.01 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 1.000E-02 *(TOL** 1.000) APPROX, R.M.S. RESIDUAL= 0.0E+00 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 0.767 *(TOL** 1.230) APPROX, R.M.S. RESIDUAL= 1.7E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -3 -2.35 0.000 0.000 156 17 10** -4 -3.16 0.000 0.000 173 19 10** -5 -3.97 0.000 0.000 189 21 10** -6 -4.79 0.000 0.000 218 25 10** -7 -5.60 0.000 0.000 248 29 10** -8 -6.41 0.000 0.000 306 37 10** -9 -7.23 0.000 0.000 391 48 10**-10 -8.04 0.000 0.000 476 59 B3 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 64 8 0.07 1.09 -4.00 0.000 0.000 112 14 0.02 1.27 -6.00 0.000 0.000 208 26 0.04 1.11 -8.00 0.000 0.000 400 50 0.18 1.10 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 2.546E-02 *(TOL** 0.927) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 1.17 *(TOL** 1.003) APPROX, R.M.S. RESIDUAL= 2.7E-02 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -2 -2.06 0.000 0.000 65 8 10** -3 -3.06 0.000 0.000 89 11 10** -4 -4.06 0.000 0.000 114 14 10** -5 -5.06 0.000 0.000 162 20 10** -6 -6.05 0.000 0.000 213 26 10** -7 -7.05 0.000 0.000 308 38 10** -8 -8.05 0.000 0.000 404 50 B4 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 731 80 218.55 295.13 -4.00 0.000 0.000 309 36 49.74 48.52 -6.00 0.000 0.000 626 73 198.81 197.36 -8.00 0.000 0.000 1245 153 251.17 249.83 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 97.3 *(TOL** 0.961) APPROX, R.M.S. RESIDUAL= 2.7E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 130. *(TOL** 0.980) APPROX, R.M.S. RESIDUAL= 3.1E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** 0 -2.16 0.000 0.000 697 76 10** -1 -3.18 0.000 0.000 482 54 10** -2 -4.20 0.000 0.000 340 39 10** -3 -5.22 0.000 0.000 501 58 10** -4 -6.24 0.000 0.000 699 82 10** -5 -7.26 0.000 0.000 1014 123 B5 (UNSCALED) LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 147 14 53.75 59.24 -4.00 0.000 0.000 251 27 7.43 9.47 -6.00 0.000 0.000 532 56 19.07 28.36 -8.00 0.000 0.000 1018 115 18.39 26.44 SMOOTHNESS FIT OF LOG10(ERROR) VS LOG10(TOL) ENDPOINT GLOBAL ERROR = 34.2 *(TOL** 1.049) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES MAXIMUM GLOBAL ERROR = 35.5 *(TOL** 1.029) APPROX, R.M.S. RESIDUAL= 2.8E-01 OVER 4 VALUES NORMALIZED EFFICIENCY - MAXIMUM GLOBAL ERROR EXPECTED EQUIV TIME OVHD FCN NO OF ACCURACY LOG10 TOL CALLS STEPS 10** -1 -2.48 0.000 0.000 171 17 10** -2 -3.45 0.000 0.000 222 23 10** -3 -4.42 0.000 0.000 310 33 10** -4 -5.39 0.000 0.000 446 47 10** -5 -6.37 0.000 0.000 621 66 10** -6 -7.34 0.000 0.000 857 95 SUMMARY OVER GROUP 2 LOG10 TIME OVHD FCN NO OF END PNT MAXIMUM TOL CALLS STEPS GLB ERR GLB ERR -2.00 0.000 0.000 1370 145 218.55 296.72 -4.00 0.000 0.000 1353 149 49.74 48.52 -6.00 0.000 0.000 2590 287 198.81 197.36 -8.00 0.000 0.000 4960 585 251.17 283.48 SUMMARY OVER ALL GROUPS DVERK, HULL-ENRIGHT-JACKSON CODE BASED ON VERNER RK FORMULAS LOG10 TIME OVHD FCN NO OF TOL CALLS STEPS -2.00 0.000 0.000 1669 178 -4.00 0.000 0.000 1888 208 -6.00 0.000 0.000 3596 397 -8.00 0.000 0.000 6936 811 OVERALL SUMMARY 0.000 0.000 14089 1594 TOMS648_NSD_PRB: Normal end of execution.