Time bar (total: 2.3min)
| 1× | search |
| 2× | egg-herbie |
| 545× | associate-*r*_binary64_1041 |
| 492× | associate-*l*_binary64_1042 |
| 171× | times-frac_binary64_1107 |
| 170× | associate-/l*_binary64_1046 |
| 124× | *-commutative_binary64_1032 |
| 116× | sqr-pow_binary64_1073 |
| 105× | distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050 |
| 102× | associate-/r*_binary64_1045 associate-*l/_binary64_1044 |
| 64× | associate-/r/_binary64_1047 |
| 62× | swap-sqr_binary64_1068 |
| 59× | unpow2_binary64_1166 |
| 57× | unpow1/2_binary64_1165 unpow1_binary64_1159 |
| 51× | +-commutative_binary64_1031 |
| 50× | neg-mul-1_binary64_1097 neg-sub0_binary64_1096 |
| 47× | distribute-rgt-neg-out_binary64_1061 |
| 46× | associate-*r/_binary64_1043 |
| 44× | associate-/l/_binary64_1048 |
| 35× | sub-neg_binary64_1094 |
| 22× | div-sub_binary64_1106 distribute-neg-frac_binary64_1065 distribute-frac-neg_binary64_1064 associate-+l+_binary64_1034 associate-+r+_binary64_1033 |
| 11× | distribute-rgt-neg-in_binary64_1059 distribute-lft-neg-in_binary64_1058 |
| 8× | difference-of-squares_binary64_1070 cancel-sign-sub-inv_binary64_1067 |
| 1× | 1-exp_binary64_1145 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-pow_binary64_1190 log-rec_binary64_1189 log-div_binary64_1188 log-prod_binary64_1187 pow-base-0_binary64_1185 unpow1/3_binary64_1168 unpow3_binary64_1167 pow-plus_binary64_1164 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-cube_binary64_1157 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 exp-prod_binary64_1153 div-exp_binary64_1152 rec-exp_binary64_1151 prod-exp_binary64_1150 exp-diff_binary64_1149 exp-neg_binary64_1148 exp-sum_binary64_1147 e-exp-1_binary64_1146 exp-1-e_binary64_1144 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-unmult_binary64_1138 cube-mult_binary64_1131 cube-div_binary64_1130 cube-prod_binary64_1129 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 rem-3cbrt-lft_binary64_1126 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 sqr-neg_binary64_1115 rem-sqrt-square_binary64_1114 rem-square-sqrt_binary64_1113 unsub-neg_binary64_1095 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 remove-double-neg_binary64_1089 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 div0_binary64_1082 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 pow-sqr_binary64_1074 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 unswap-sqr_binary64_1069 cancel-sign-sub_binary64_1066 distribute-neg-out_binary64_1063 distribute-neg-in_binary64_1062 distribute-lft-neg-out_binary64_1060 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 distribute-rgt-out--_binary64_1055 distribute-rgt-out_binary64_1054 distribute-lft-out--_binary64_1053 distribute-lft-out_binary64_1052 count-2_binary64_1049 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--l+_binary64_1038 associate--r+_binary64_1037 associate-+l-_binary64_1036 associate-+r-_binary64_1035 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 3212 |
| 1 | 1174 | 3121 |
| 2 | 4949 | 3121 |
| 3 | 4997 | 3121 |
| 0 | 5 | 5 |
| 1 | 5 | 5 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 0% | 99.8% | 0.2% | 11 |
| 0% | 99.8% | 0.2% | 12 |
| 0% | 99.8% | 0.2% | 13 |
| 0% | 99.8% | 0.2% | 14 |
Compiled 184 to 125 computations (32.1% saved)
| 1× | intervals |
| 285.0ms | 54× | body | 1024 | valid |
| 187.0ms | 33× | body | 1024 | invalid |
| 110.0ms | 155× | body | 128 | valid |
| 93.0ms | 28× | body | 512 | valid |
| 41.0ms | 59× | body | 128 | invalid |
| 38.0ms | 11× | body | 512 | invalid |
| 34.0ms | 15× | body | 256 | valid |
| 26.0ms | 4× | body | 2048 | valid |
| 18.0ms | 9× | body | 256 | invalid |
Compiled 367 to 254 computations (30.8% saved)
| 1× | egg-herbie |
| 742× | times-frac_binary64_1107 |
| 686× | associate-*l*_binary64_1042 |
| 303× | associate-/r*_binary64_1045 |
| 262× | associate-/l*_binary64_1046 |
| 190× | associate-*l/_binary64_1044 |
| 155× | div-sub_binary64_1106 |
| 142× | associate-*r/_binary64_1043 |
| 113× | distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050 |
| 69× | distribute-rgt-neg-out_binary64_1061 |
| 61× | associate-*r*_binary64_1041 |
| 57× | distribute-lft-neg-out_binary64_1060 |
| 42× | associate-/r/_binary64_1047 |
| 38× | *-commutative_binary64_1032 |
| 27× | sqr-pow_binary64_1073 |
| 18× | swap-sqr_binary64_1068 |
| 17× | associate-/l/_binary64_1048 |
| 15× | neg-mul-1_binary64_1097 neg-sub0_binary64_1096 |
| 14× | distribute-frac-neg_binary64_1064 |
| 11× | sub-neg_binary64_1094 unswap-sqr_binary64_1069 |
| 9× | unpow2_binary64_1166 unpow1/2_binary64_1165 pow-plus_binary64_1164 unpow1_binary64_1159 cube-unmult_binary64_1138 rem-sqrt-square_binary64_1114 +-commutative_binary64_1031 |
| 7× | distribute-lft-neg-in_binary64_1058 |
| 6× | distribute-rgt-neg-in_binary64_1059 distribute-rgt-out_binary64_1054 distribute-lft-out_binary64_1052 |
| 4× | cancel-sign-sub-inv_binary64_1067 |
| 3× | sqr-neg_binary64_1115 distribute-neg-frac_binary64_1065 |
| 2× | div0_binary64_1082 difference-of-squares_binary64_1070 distribute-neg-in_binary64_1062 associate-+l+_binary64_1034 associate-+r+_binary64_1033 |
| 1× | 1-exp_binary64_1145 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-pow_binary64_1190 log-rec_binary64_1189 log-div_binary64_1188 log-prod_binary64_1187 pow-base-0_binary64_1185 unpow1/3_binary64_1168 unpow3_binary64_1167 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-cube_binary64_1157 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 exp-prod_binary64_1153 div-exp_binary64_1152 rec-exp_binary64_1151 prod-exp_binary64_1150 exp-diff_binary64_1149 exp-neg_binary64_1148 exp-sum_binary64_1147 e-exp-1_binary64_1146 exp-1-e_binary64_1144 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-mult_binary64_1131 cube-div_binary64_1130 cube-prod_binary64_1129 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 rem-3cbrt-lft_binary64_1126 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 rem-square-sqrt_binary64_1113 unsub-neg_binary64_1095 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 remove-double-neg_binary64_1089 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 pow-sqr_binary64_1074 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 cancel-sign-sub_binary64_1066 distribute-neg-out_binary64_1063 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 distribute-rgt-out--_binary64_1055 distribute-lft-out--_binary64_1053 count-2_binary64_1049 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--l+_binary64_1038 associate--r+_binary64_1037 associate-+l-_binary64_1036 associate-+r-_binary64_1035 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 292 |
| 1 | 159 | 287 |
| 2 | 592 | 287 |
| 3 | 4709 | 283 |
| 4 | 5020 | 283 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 361 to 244 computations (32.4% saved)
Found 4 expressions with local error:
| 25.0b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 25.0b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 25.0b | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 48.1b | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) |
| 1× | rewrite-expression-head |
| 198× | times-frac_binary64_1107 |
| 130× | add-exp-log_binary64_1139 |
| 63× | add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 |
| 58× | prod-exp_binary64_1150 |
| 49× | div-exp_binary64_1152 |
| 44× | distribute-rgt-neg-in_binary64_1059 distribute-lft-neg-in_binary64_1058 |
| 37× | add-cbrt-cube_binary64_1137 |
| 29× | sqrt-div_binary64_1118 |
| 22× | sqrt-prod_binary64_1117 |
| 17× | associate-*r/_binary64_1043 distribute-neg-frac_binary64_1065 associate-/l/_binary64_1048 |
| 16× | frac-add_binary64_1109 |
| 14× | div-inv_binary64_1098 |
| 13× | cbrt-undiv_binary64_1135 cbrt-unprod_binary64_1134 unpow-prod-down_binary64_1180 unpow2_binary64_1166 sqr-pow_binary64_1073 |
| 12× | pow-exp_binary64_1169 flip3-+_binary64_1104 flip-+_binary64_1075 associate-/l*_binary64_1046 |
| 11× | neg-mul-1_binary64_1097 |
| 10× | associate-*l/_binary64_1044 associate-/r*_binary64_1045 |
| 8× | frac-times_binary64_1111 |
| 6× | pow-to-exp_binary64_1170 |
| 4× | pow1_binary64_1162 add-log-exp_binary64_1140 |
| 1× | frac-2neg_binary64_1112 neg-sub0_binary64_1096 div-sub_binary64_1106 clear-num_binary64_1100 distribute-frac-neg_binary64_1064 associate-/r/_binary64_1047 |
4 calls:
| 29.0ms | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 2.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 70937 to 45015 computations (36.5% saved)
4 calls:
| 1.0min | (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2))))))) (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) |
| 65.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 64.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
| 63.0ms | (sin.f64 (*.f64 (/.f64 angle 180) PI.f64)) |
Compiled 36429 to 25989 computations (28.7% saved)
| 1× | egg-herbie |
| 720× | times-frac_binary64_1107 |
| 655× | associate-/l*_binary64_1046 |
| 360× | associate-/r/_binary64_1047 |
| 195× | associate-/l/_binary64_1048 |
| 163× | *-commutative_binary64_1032 |
| 146× | distribute-frac-neg_binary64_1064 |
| 99× | neg-mul-1_binary64_1097 |
| 95× | div-sub_binary64_1106 |
| 91× | neg-sub0_binary64_1096 |
| 78× | associate-*r*_binary64_1041 +-commutative_binary64_1031 |
| 76× | sub-neg_binary64_1094 |
| 61× | distribute-rgt-neg-in_binary64_1059 |
| 59× | distribute-rgt-in_binary64_1051 |
| 55× | distribute-lft-in_binary64_1050 |
| 50× | distribute-rgt-neg-out_binary64_1061 |
| 48× | associate-/r*_binary64_1045 |
| 45× | associate-+r+_binary64_1033 |
| 42× | distribute-lft-neg-out_binary64_1060 |
| 41× | unswap-sqr_binary64_1069 cancel-sign-sub-inv_binary64_1067 |
| 36× | sqr-pow_binary64_1073 |
| 35× | associate-*l*_binary64_1042 |
| 32× | distribute-lft-neg-in_binary64_1058 |
| 30× | associate-*l/_binary64_1044 |
| 24× | swap-sqr_binary64_1068 |
| 21× | distribute-neg-frac_binary64_1065 |
| 19× | associate--l+_binary64_1038 |
| 17× | associate-*r/_binary64_1043 |
| 15× | associate--r-_binary64_1040 |
| 14× | /-rgt-identity_binary64_1092 |
| 13× | log-prod_binary64_1187 unpow2_binary64_1166 unpow1_binary64_1159 distribute-neg-in_binary64_1062 |
| 12× | distribute-rgt-out_binary64_1054 |
| 10× | cube-unmult_binary64_1138 |
| 6× | sqr-neg_binary64_1115 |
| 4× | log-div_binary64_1188 difference-of-squares_binary64_1070 |
| 3× | pow-plus_binary64_1164 remove-double-neg_binary64_1089 pow-sqr_binary64_1074 distribute-rgt-out--_binary64_1055 distribute-lft-out_binary64_1052 associate--r+_binary64_1037 associate-+r-_binary64_1035 associate-+l+_binary64_1034 |
| 2× | log-pow_binary64_1190 unpow3_binary64_1167 cube-mult_binary64_1131 rem-sqrt-square_binary64_1114 rem-square-sqrt_binary64_1113 div0_binary64_1082 |
| 1× | unpow1/2_binary64_1165 exp-prod_binary64_1153 exp-neg_binary64_1148 1-exp_binary64_1145 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-rec_binary64_1189 pow-base-0_binary64_1185 unpow1/3_binary64_1168 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-cube_binary64_1157 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 div-exp_binary64_1152 rec-exp_binary64_1151 prod-exp_binary64_1150 exp-diff_binary64_1149 exp-sum_binary64_1147 e-exp-1_binary64_1146 exp-1-e_binary64_1144 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-div_binary64_1130 cube-prod_binary64_1129 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 rem-3cbrt-lft_binary64_1126 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 unsub-neg_binary64_1095 mul-1-neg_binary64_1093 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 cancel-sign-sub_binary64_1066 distribute-neg-out_binary64_1063 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 distribute-lft-out--_binary64_1053 count-2_binary64_1049 associate--l-_binary64_1039 associate-+l-_binary64_1036 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 760 | 95951 |
| 1 | 1991 | 90636 |
| 2 | 5691 | 90636 |
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 14 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 219 | 15 | 234 |
Compiled 69585 to 41014 computations (41.1% saved)
Found 4 expressions with local error:
| 25.0b | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64_1162 add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 |
4 calls:
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
Compiled 2660 to 1685 computations (36.7% saved)
4 calls:
| 42.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 41.0ms | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 41.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 40.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
Compiled 3184 to 2222 computations (30.2% saved)
| 1× | egg-herbie |
| 1304× | sqr-pow_binary64_1073 |
| 724× | unswap-sqr_binary64_1069 |
| 614× | pow-sqr_binary64_1074 |
| 326× | cube-prod_binary64_1129 |
| 313× | associate-*l*_binary64_1042 |
| 281× | *-commutative_binary64_1032 |
| 226× | unpow3_binary64_1167 |
| 216× | cube-mult_binary64_1131 |
| 183× | associate-*r*_binary64_1041 |
| 96× | pow-plus_binary64_1164 |
| 32× | rem-sqrt-square_binary64_1114 |
| 18× | cube-unmult_binary64_1138 |
| 12× | unpow2_binary64_1166 unpow1/2_binary64_1165 unpow1_binary64_1159 |
| 1× | 1-exp_binary64_1145 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-pow_binary64_1190 log-rec_binary64_1189 log-div_binary64_1188 log-prod_binary64_1187 pow-base-0_binary64_1185 unpow1/3_binary64_1168 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-cube_binary64_1157 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 exp-prod_binary64_1153 div-exp_binary64_1152 rec-exp_binary64_1151 prod-exp_binary64_1150 exp-diff_binary64_1149 exp-neg_binary64_1148 exp-sum_binary64_1147 e-exp-1_binary64_1146 exp-1-e_binary64_1144 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-div_binary64_1130 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 rem-3cbrt-lft_binary64_1126 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 sqr-neg_binary64_1115 rem-square-sqrt_binary64_1113 times-frac_binary64_1107 div-sub_binary64_1106 neg-mul-1_binary64_1097 neg-sub0_binary64_1096 unsub-neg_binary64_1095 sub-neg_binary64_1094 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 remove-double-neg_binary64_1089 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 div0_binary64_1082 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 difference-of-squares_binary64_1070 swap-sqr_binary64_1068 cancel-sign-sub-inv_binary64_1067 cancel-sign-sub_binary64_1066 distribute-neg-frac_binary64_1065 distribute-frac-neg_binary64_1064 distribute-neg-out_binary64_1063 distribute-neg-in_binary64_1062 distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060 distribute-rgt-neg-in_binary64_1059 distribute-lft-neg-in_binary64_1058 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 distribute-rgt-out--_binary64_1055 distribute-rgt-out_binary64_1054 distribute-lft-out--_binary64_1053 distribute-lft-out_binary64_1052 distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050 count-2_binary64_1049 associate-/l/_binary64_1048 associate-/r/_binary64_1047 associate-/l*_binary64_1046 associate-/r*_binary64_1045 associate-*l/_binary64_1044 associate-*r/_binary64_1043 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--l+_binary64_1038 associate--r+_binary64_1037 associate-+l-_binary64_1036 associate-+r-_binary64_1035 associate-+l+_binary64_1034 associate-+r+_binary64_1033 +-commutative_binary64_1031 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 585 |
| 1 | 31 | 501 |
| 2 | 40 | 501 |
| 3 | 47 | 501 |
| 4 | 54 | 501 |
| 5 | 69 | 501 |
| 6 | 106 | 501 |
| 7 | 207 | 501 |
| 8 | 551 | 501 |
| 9 | 1147 | 501 |
| 10 | 1286 | 501 |
| 11 | 1549 | 501 |
| 12 | 1854 | 501 |
| 13 | 2264 | 501 |
| 14 | 2827 | 501 |
| 15 | 3286 | 501 |
| 16 | 3590 | 501 |
| 17 | 3706 | 501 |
| 18 | 3726 | 501 |
| 19 | 3730 | 501 |
| 20 | 3730 | 501 |
| 21 | 4527 | 501 |
| 22 | 5187 | 501 |
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 1 | 4 |
| Fresh | 0 | 13 | 13 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 3 | 16 | 19 |
Compiled 1877 to 1306 computations (30.4% saved)
Found 4 expressions with local error:
| 25.0b | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64_1162 add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 |
4 calls:
| 3.0ms | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
Compiled 2744 to 1769 computations (35.5% saved)
4 calls:
| 47.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 46.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 44.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 41.0ms | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
Compiled 3292 to 2330 computations (29.2% saved)
| 1× | egg-herbie |
| 1304× | sqr-pow_binary64_1073 |
| 724× | unswap-sqr_binary64_1069 |
| 614× | pow-sqr_binary64_1074 |
| 326× | cube-prod_binary64_1129 |
| 313× | associate-*l*_binary64_1042 |
| 281× | *-commutative_binary64_1032 |
| 226× | unpow3_binary64_1167 |
| 216× | cube-mult_binary64_1131 |
| 183× | associate-*r*_binary64_1041 |
| 96× | pow-plus_binary64_1164 |
| 32× | rem-sqrt-square_binary64_1114 |
| 18× | cube-unmult_binary64_1138 |
| 12× | unpow2_binary64_1166 unpow1/2_binary64_1165 unpow1_binary64_1159 |
| 1× | 1-exp_binary64_1145 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-pow_binary64_1190 log-rec_binary64_1189 log-div_binary64_1188 log-prod_binary64_1187 pow-base-0_binary64_1185 unpow1/3_binary64_1168 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-cube_binary64_1157 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 exp-prod_binary64_1153 div-exp_binary64_1152 rec-exp_binary64_1151 prod-exp_binary64_1150 exp-diff_binary64_1149 exp-neg_binary64_1148 exp-sum_binary64_1147 e-exp-1_binary64_1146 exp-1-e_binary64_1144 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-div_binary64_1130 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 rem-3cbrt-lft_binary64_1126 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 sqr-neg_binary64_1115 rem-square-sqrt_binary64_1113 times-frac_binary64_1107 div-sub_binary64_1106 neg-mul-1_binary64_1097 neg-sub0_binary64_1096 unsub-neg_binary64_1095 sub-neg_binary64_1094 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 remove-double-neg_binary64_1089 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 div0_binary64_1082 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 difference-of-squares_binary64_1070 swap-sqr_binary64_1068 cancel-sign-sub-inv_binary64_1067 cancel-sign-sub_binary64_1066 distribute-neg-frac_binary64_1065 distribute-frac-neg_binary64_1064 distribute-neg-out_binary64_1063 distribute-neg-in_binary64_1062 distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060 distribute-rgt-neg-in_binary64_1059 distribute-lft-neg-in_binary64_1058 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 distribute-rgt-out--_binary64_1055 distribute-rgt-out_binary64_1054 distribute-lft-out--_binary64_1053 distribute-lft-out_binary64_1052 distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050 count-2_binary64_1049 associate-/l/_binary64_1048 associate-/r/_binary64_1047 associate-/l*_binary64_1046 associate-/r*_binary64_1045 associate-*l/_binary64_1044 associate-*r/_binary64_1043 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--l+_binary64_1038 associate--r+_binary64_1037 associate-+l-_binary64_1036 associate-+r-_binary64_1035 associate-+l+_binary64_1034 associate-+r+_binary64_1033 +-commutative_binary64_1031 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 585 |
| 1 | 31 | 501 |
| 2 | 40 | 501 |
| 3 | 47 | 501 |
| 4 | 54 | 501 |
| 5 | 69 | 501 |
| 6 | 106 | 501 |
| 7 | 207 | 501 |
| 8 | 551 | 501 |
| 9 | 1147 | 501 |
| 10 | 1286 | 501 |
| 11 | 1549 | 501 |
| 12 | 1854 | 501 |
| 13 | 2264 | 501 |
| 14 | 2827 | 501 |
| 15 | 3286 | 501 |
| 16 | 3590 | 501 |
| 17 | 3706 | 501 |
| 18 | 3726 | 501 |
| 19 | 3730 | 501 |
| 20 | 3730 | 501 |
| 21 | 4527 | 501 |
| 22 | 5187 | 501 |
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 0 | 4 |
| Fresh | 0 | 13 | 13 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 4 | 16 | 20 |
Compiled 1798 to 1251 computations (30.4% saved)
Found 4 expressions with local error:
| 25.0b | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 25.1b | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 1× | rewrite-expression-head |
| 4× | pow1_binary64_1162 add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 |
4 calls:
| 4.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 3.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
Compiled 2660 to 1685 computations (36.7% saved)
4 calls:
| 43.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 42.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 41.0ms | (sin.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
| 40.0ms | (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) |
Compiled 3184 to 2222 computations (30.2% saved)
| 1× | egg-herbie |
| 1304× | sqr-pow_binary64_1073 |
| 724× | unswap-sqr_binary64_1069 |
| 614× | pow-sqr_binary64_1074 |
| 326× | cube-prod_binary64_1129 |
| 313× | associate-*l*_binary64_1042 |
| 281× | *-commutative_binary64_1032 |
| 226× | unpow3_binary64_1167 |
| 216× | cube-mult_binary64_1131 |
| 183× | associate-*r*_binary64_1041 |
| 96× | pow-plus_binary64_1164 |
| 32× | rem-sqrt-square_binary64_1114 |
| 18× | cube-unmult_binary64_1138 |
| 12× | unpow2_binary64_1166 unpow1/2_binary64_1165 unpow1_binary64_1159 |
| 1× | 1-exp_binary64_1145 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-pow_binary64_1190 log-rec_binary64_1189 log-div_binary64_1188 log-prod_binary64_1187 pow-base-0_binary64_1185 unpow1/3_binary64_1168 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-cube_binary64_1157 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 exp-prod_binary64_1153 div-exp_binary64_1152 rec-exp_binary64_1151 prod-exp_binary64_1150 exp-diff_binary64_1149 exp-neg_binary64_1148 exp-sum_binary64_1147 e-exp-1_binary64_1146 exp-1-e_binary64_1144 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-div_binary64_1130 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 rem-3cbrt-lft_binary64_1126 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 sqr-neg_binary64_1115 rem-square-sqrt_binary64_1113 times-frac_binary64_1107 div-sub_binary64_1106 neg-mul-1_binary64_1097 neg-sub0_binary64_1096 unsub-neg_binary64_1095 sub-neg_binary64_1094 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 remove-double-neg_binary64_1089 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 div0_binary64_1082 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 difference-of-squares_binary64_1070 swap-sqr_binary64_1068 cancel-sign-sub-inv_binary64_1067 cancel-sign-sub_binary64_1066 distribute-neg-frac_binary64_1065 distribute-frac-neg_binary64_1064 distribute-neg-out_binary64_1063 distribute-neg-in_binary64_1062 distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060 distribute-rgt-neg-in_binary64_1059 distribute-lft-neg-in_binary64_1058 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 distribute-rgt-out--_binary64_1055 distribute-rgt-out_binary64_1054 distribute-lft-out--_binary64_1053 distribute-lft-out_binary64_1052 distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050 count-2_binary64_1049 associate-/l/_binary64_1048 associate-/r/_binary64_1047 associate-/l*_binary64_1046 associate-/r*_binary64_1045 associate-*l/_binary64_1044 associate-*r/_binary64_1043 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--l+_binary64_1038 associate--r+_binary64_1037 associate-+l-_binary64_1036 associate-+r-_binary64_1035 associate-+l+_binary64_1034 associate-+r+_binary64_1033 +-commutative_binary64_1031 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 585 |
| 1 | 31 | 501 |
| 2 | 40 | 501 |
| 3 | 47 | 501 |
| 4 | 54 | 501 |
| 5 | 69 | 501 |
| 6 | 106 | 501 |
| 7 | 207 | 501 |
| 8 | 551 | 501 |
| 9 | 1147 | 501 |
| 10 | 1286 | 501 |
| 11 | 1549 | 501 |
| 12 | 1854 | 501 |
| 13 | 2264 | 501 |
| 14 | 2827 | 501 |
| 15 | 3286 | 501 |
| 16 | 3590 | 501 |
| 17 | 3706 | 501 |
| 18 | 3726 | 501 |
| 19 | 3730 | 501 |
| 20 | 3730 | 501 |
| 21 | 4527 | 501 |
| 22 | 5187 | 501 |
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 1 | 4 |
| Fresh | 0 | 12 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 4 | 16 | 20 |
Compiled 364 to 241 computations (33.8% saved)
Total 7.8b remaining (13.7%)
Threshold costs 0b (0%)
Compiled 82077 to 58059 computations (29.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 3.989745364419307e-105 | 2.1276948602845188e-98 | 7.413933609618962e-103 |
Compiled 1 to 5 computations (-400% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64_1032 |
| 8× | +-commutative_binary64_1031 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 unpow1_binary64_1159 e-exp-1_binary64_1146 1-exp_binary64_1145 exp-1-e_binary64_1144 exp-0_binary64_1143 sqr-abs_binary64_1116 sqr-neg_binary64_1115 neg-mul-1_binary64_1097 neg-sub0_binary64_1096 unsub-neg_binary64_1095 sub-neg_binary64_1094 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 *-rgt-identity_binary64_1091 *-lft-identity_binary64_1090 remove-double-neg_binary64_1089 sub0-neg_binary64_1088 --rgt-identity_binary64_1087 +-rgt-identity_binary64_1086 +-lft-identity_binary64_1085 cancel-sign-sub-inv_binary64_1067 cancel-sign-sub_binary64_1066 distribute-neg-frac_binary64_1065 distribute-frac-neg_binary64_1064 distribute-neg-out_binary64_1063 distribute-neg-in_binary64_1062 distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060 distribute-rgt-neg-in_binary64_1059 distribute-lft-neg-in_binary64_1058 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 325 |
| 1 | 93 | 325 |
| 2 | 93 | 325 |
| 1× | intervals |
| 9.5s | 1891× | body | 1024 | valid |
| 5.0s | 951× | body | 1024 | invalid |
| 3.3s | 4552× | body | 128 | valid |
| 3.0s | 906× | body | 512 | valid |
| 1.6s | 460× | body | 512 | invalid |
| 1.6s | 214× | body | 2048 | valid |
| 1.3s | 1797× | body | 128 | invalid |
| 836.0ms | 436× | body | 256 | valid |
| 501.0ms | 242× | body | 256 | invalid |
| 22.0ms | 1× | body | 4096 | valid |
Compiled 9862 to 6983 computations (29.2% saved)
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