Details

Time bar (total: 3.7s)

analyze154.0ms (4.2%)

Algorithm
search
egg-herbie
Rules
1-exp_binary64_1145 sub-neg_binary64_1094 +-commutative_binary64_1031
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 unpow2_binary64_1166 unpow1/2_binary64_1165 pow-plus_binary64_1164 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow1_binary64_1159 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 times-frac_binary64_1107 div-sub_binary64_1106 neg-mul-1_binary64_1097 neg-sub0_binary64_1096 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 sqr-pow_binary64_1073 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 difference-of-squares_binary64_1070 unswap-sqr_binary64_1069 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-*l*_binary64_1042 associate-*r*_binary64_1041 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_1032
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1106
2116
396
011
111
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample35.0ms (1%)

Algorithm
intervals
Results
14.0ms120×body1024valid
4.0ms58×body512valid
3.0ms20×body2048valid
3.0ms256×pre128true
1.0ms36×body256valid
0.0ms22×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp_binary64_1145 sub-neg_binary64_1094 +-commutative_binary64_1031
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 unpow2_binary64_1166 unpow1/2_binary64_1165 pow-plus_binary64_1164 exp-to-pow_binary64_1163 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow1_binary64_1159 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 times-frac_binary64_1107 div-sub_binary64_1106 neg-mul-1_binary64_1097 neg-sub0_binary64_1096 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 sqr-pow_binary64_1073 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071 difference-of-squares_binary64_1070 unswap-sqr_binary64_1069 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-*l*_binary64_1042 associate-*r*_binary64_1041 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_1032
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1106
2116
396

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
58.1b
Counts
1 → 1
Compiler

Compiled 4 to 4 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.1b
(-.f64 (exp.f64 x) 1)

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
58.1b
Rules
add-sqr-sqrt_binary64_1123
*-un-lft-identity_binary64_1101
add-log-exp_binary64_1140 cancel-sign-sub-inv_binary64_1067
add-cube-cbrt_binary64_1136 difference-of-squares_binary64_1070
diff-log_binary64_1193 pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 flip3--_binary64_1105 sub-neg_binary64_1094 flip--_binary64_1076 difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053
Counts
1 → 18
Calls

1 calls:

4.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 185 to 119 computations (35.7% saved)

series30.0ms (0.8%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

22.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify83.0ms (2.2%)

Algorithm
egg-herbie
Rules
858×unswap-sqr_binary64_1069
502×distribute-lft-out_binary64_1052
337×distribute-rgt-out_binary64_1054
294×*-commutative_binary64_1032
206×unsub-neg_binary64_1095
187×associate-*l*_binary64_1042
178×distribute-rgt-in_binary64_1051
149×distribute-lft-in_binary64_1050
139×associate-*r*_binary64_1041 associate-+l+_binary64_1034
134×neg-sub0_binary64_1096
112×associate-+r+_binary64_1033
109×neg-mul-1_binary64_1097
98×cancel-sign-sub-inv_binary64_1067
91×sqr-pow_binary64_1073
83×exp-prod_binary64_1153
76×distribute-neg-out_binary64_1063
75×sub-neg_binary64_1094
58×distribute-neg-in_binary64_1062
48×distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060
45×cube-prod_binary64_1129 +-commutative_binary64_1031
39×unpow3_binary64_1167
35×distribute-rgt1-in_binary64_1057
32×pow-plus_binary64_1164
29×associate--r+_binary64_1037
28×exp-sum_binary64_1147
24×pow-sqr_binary64_1074
23×distribute-rgt-neg-in_binary64_1059
20×difference-of-squares_binary64_1070 distribute-lft1-in_binary64_1056
19×rem-sqrt-square_binary64_1114 *-rgt-identity_binary64_1091
17×distribute-lft-neg-in_binary64_1058 distribute-rgt-out--_binary64_1055
16×cube-unmult_binary64_1138
15×associate-+l-_binary64_1036
14×log-prod_binary64_1187
13×associate-+r-_binary64_1035
12×mul-1-neg_binary64_1093
11×*-lft-identity_binary64_1090
10×div-sub_binary64_1106 associate-/l*_binary64_1046
sub0-neg_binary64_1088 difference-of-sqr--1_binary64_1072 difference-of-sqr-1_binary64_1071
exp-diff_binary64_1149 cube-mult_binary64_1131 +-rgt-identity_binary64_1086
remove-double-neg_binary64_1089 cancel-sign-sub_binary64_1066
unpow2_binary64_1166 unpow1/2_binary64_1165 associate-/r*_binary64_1045
unpow1_binary64_1159 prod-exp_binary64_1150 cube-neg_binary64_1128 swap-sqr_binary64_1068 distribute-lft-out--_binary64_1053 count-2_binary64_1049 associate-/r/_binary64_1047
exp-lft-sqr_binary64_1156 exp-neg_binary64_1148 sqr-neg_binary64_1115 --rgt-identity_binary64_1087 associate-/l/_binary64_1048 associate-*r/_binary64_1043
exp-lft-cube_binary64_1157 div-exp_binary64_1152 1-exp_binary64_1145 exp-1-e_binary64_1144 rem-3cbrt-lft_binary64_1126 mul0-rgt_binary64_1084 mul0-lft_binary64_1083 distribute-frac-neg_binary64_1064 associate--l+_binary64_1038
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 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-cbrt_binary64_1155 exp-sqrt_binary64_1154 rec-exp_binary64_1151 e-exp-1_binary64_1146 exp-0_binary64_1143 rem-log-exp_binary64_1142 rem-exp-log_binary64_1141 cube-div_binary64_1130 rem-3cbrt-rft_binary64_1127 rem-cbrt-cube_binary64_1125 rem-cube-cbrt_binary64_1124 sqr-abs_binary64_1116 rem-square-sqrt_binary64_1113 times-frac_binary64_1107 /-rgt-identity_binary64_1092 +-lft-identity_binary64_1085 div0_binary64_1082 *-inverses_binary64_1081 +-inverses_binary64_1080 lft-mult-inverse_binary64_1079 rgt-mult-inverse_binary64_1078 remove-double-div_binary64_1077 distribute-neg-frac_binary64_1065 associate-*l/_binary64_1044 associate--r-_binary64_1040 associate--l-_binary64_1039
Counts
24 → 14
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054254
1107241
2222235
3423232
4985232
52213232
64677232
74979232
84922232

prune19.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New10414
Fresh000
Picked101
Done000
Total11415
Error
0.0b
Counts
15 → 4
Compiler

Compiled 171 to 112 computations (34.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/6 (*.f64 x 1/24))
0.0b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
0.3b
(*.f64 x 1/24)

rewrite113.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_1123
10×pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
associate-*l*_binary64_1042 associate-*r*_binary64_1041
add-log-exp_binary64_1140
associate-*r/_binary64_1043
pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 unswap-sqr_binary64_1069 *-commutative_binary64_1032 flip3-+_binary64_1104 flip-+_binary64_1075
distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050
sum-log_binary64_1192 +-commutative_binary64_1031
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
5.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms
(*.f64 x 1/24)
3.0ms
(+.f64 1/6 (*.f64 x 1/24))
Compiler

Compiled 1650 to 1164 computations (29.5% saved)

series216.0ms (5.8%)

Error
0.0b
Counts
4 → 20
Calls

4 calls:

80.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
55.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
39.0ms
(+.f64 1/6 (*.f64 x 1/24))
27.0ms
(*.f64 x 1/24)
Compiler

Compiled 734 to 531 computations (27.7% saved)

simplify110.0ms (3%)

Algorithm
egg-herbie
Rules
769×distribute-rgt-in_binary64_1051
755×distribute-lft-in_binary64_1050
285×*-commutative_binary64_1032
254×sub-neg_binary64_1094
163×associate-*l*_binary64_1042
148×sqr-pow_binary64_1073
138×associate--r+_binary64_1037
132×associate-*r*_binary64_1041
130×unswap-sqr_binary64_1069
119×distribute-rgt-neg-in_binary64_1059
117×neg-mul-1_binary64_1097
113×neg-sub0_binary64_1096
111×distribute-neg-in_binary64_1062
103×unsub-neg_binary64_1095
102×exp-prod_binary64_1153
97×distribute-lft-neg-in_binary64_1058
82×associate-+l+_binary64_1034
81×cancel-sign-sub-inv_binary64_1067
80×associate-+r+_binary64_1033
60×*-lft-identity_binary64_1090
58×*-rgt-identity_binary64_1091
49×exp-sum_binary64_1147
48×distribute-rgt-out_binary64_1054
39×pow-sqr_binary64_1074
32×swap-sqr_binary64_1068
28×+-commutative_binary64_1031
27×distribute-lft-neg-out_binary64_1060
23×log-prod_binary64_1187
20×distribute-rgt-neg-out_binary64_1061
18×cube-prod_binary64_1129 associate-+l-_binary64_1036
15×associate--l+_binary64_1038
12×unpow1/2_binary64_1165
10×sub0-neg_binary64_1088
distribute-rgt-out--_binary64_1055
unpow3_binary64_1167 associate-+r-_binary64_1035
pow-plus_binary64_1164 +-rgt-identity_binary64_1086
log-pow_binary64_1190 rem-sqrt-square_binary64_1114 associate-/l*_binary64_1046
cube-unmult_binary64_1138 cube-mult_binary64_1131
prod-exp_binary64_1150 distribute-lft-out_binary64_1052 count-2_binary64_1049 associate-/l/_binary64_1048 associate-*r/_binary64_1043
unpow2_binary64_1166 unpow1_binary64_1159 1-exp_binary64_1145 exp-1-e_binary64_1144 distribute-lft-out--_binary64_1053
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 log-div_binary64_1188 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 exp-diff_binary64_1149 exp-neg_binary64_1148 e-exp-1_binary64_1146 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 mul-1-neg_binary64_1093 /-rgt-identity_binary64_1092 remove-double-neg_binary64_1089 --rgt-identity_binary64_1087 +-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 cancel-sign-sub_binary64_1066 distribute-neg-frac_binary64_1065 distribute-frac-neg_binary64_1064 distribute-neg-out_binary64_1063 distribute-rgt1-in_binary64_1057 distribute-lft1-in_binary64_1056 associate-/r/_binary64_1047 associate-/r*_binary64_1045 associate-*l/_binary64_1044 associate--r-_binary64_1040 associate--l-_binary64_1039
Counts
93 → 67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251188
13151089
210581083
334901083
443151083
549841083
648841083

prune81.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done000
Total67471
Error
0.0b
Counts
71 → 4
Compiler

Compiled 1411 to 988 computations (30% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
7.1b
(-.f64 (exp.f64 x) 1)

rewrite97.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×add-sqr-sqrt_binary64_1123
25×*-un-lft-identity_binary64_1101
20×cbrt-prod_binary64_1132
14×unpow-prod-down_binary64_1180 cube-prod_binary64_1129
10×add-cube-cbrt_binary64_1136 difference-of-squares_binary64_1070
add-log-exp_binary64_1140 difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053
pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 cube-div_binary64_1130
flip3--_binary64_1105 flip--_binary64_1076 cancel-sign-sub-inv_binary64_1067 pow-unpow_binary64_1178
cbrt-div_binary64_1133 unpow3_binary64_1167 cube-mult_binary64_1131 sqr-pow_binary64_1073
diff-log_binary64_1193 sub-neg_binary64_1094 pow1/3_binary64_1183 rem-cbrt-cube_binary64_1125 pow-pow_binary64_1173 pow-to-exp_binary64_1170 pow-exp_binary64_1169 rem-cube-cbrt_binary64_1124
Counts
3 → 82
Calls

3 calls:

6.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
5.0ms
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
4.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 1229 to 889 computations (27.7% saved)

series136.0ms (3.7%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

75.0ms
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
24.0ms
(-.f64 (exp.f64 x) 1)
23.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
Compiler

Compiled 396 to 338 computations (14.6% saved)

simplify113.0ms (3.1%)

Algorithm
egg-herbie
Rules
594×associate-*l*_binary64_1042
559×associate-*r*_binary64_1041
417×log-prod_binary64_1187
367×exp-prod_binary64_1153
275×cube-prod_binary64_1129
256×unswap-sqr_binary64_1069
254×distribute-rgt-in_binary64_1051
247×distribute-lft-in_binary64_1050
187×swap-sqr_binary64_1068
164×sqr-pow_binary64_1073
103×*-commutative_binary64_1032
60×associate-+l+_binary64_1034
52×exp-sum_binary64_1147
49×log-pow_binary64_1190
45×mul-1-neg_binary64_1093
43×pow-sqr_binary64_1074
40×+-commutative_binary64_1031
38×associate-+r+_binary64_1033
34×unpow3_binary64_1167
32×pow-plus_binary64_1164 cube-unmult_binary64_1138
24×cube-mult_binary64_1131
22×*-lft-identity_binary64_1090
17×*-rgt-identity_binary64_1091
15×distribute-rgt-out_binary64_1054
13×unsub-neg_binary64_1095
11×neg-sub0_binary64_1096
10×rem-cbrt-cube_binary64_1125 rem-sqrt-square_binary64_1114 distribute-lft-out_binary64_1052
sub-neg_binary64_1094
distribute-rgt1-in_binary64_1057
prod-exp_binary64_1150
count-2_binary64_1049
unpow1/2_binary64_1165 neg-mul-1_binary64_1097 difference-of-sqr-1_binary64_1071 distribute-lft1-in_binary64_1056 associate-/l/_binary64_1048 associate-*r/_binary64_1043
unpow1_binary64_1159 exp-neg_binary64_1148 rem-3cbrt-lft_binary64_1126 rem-square-sqrt_binary64_1113 distribute-rgt-neg-in_binary64_1059
unpow2_binary64_1166 div-exp_binary64_1152 1-exp_binary64_1145 exp-1-e_binary64_1144 rem-cube-cbrt_binary64_1124 div-sub_binary64_1106 difference-of-sqr--1_binary64_1072 distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060 distribute-lft-neg-in_binary64_1058 associate-/r/_binary64_1047 associate-/l*_binary64_1046
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 log-div_binary64_1188 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 rec-exp_binary64_1151 exp-diff_binary64_1149 e-exp-1_binary64_1146 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 sqr-abs_binary64_1116 sqr-neg_binary64_1115 times-frac_binary64_1107 /-rgt-identity_binary64_1092 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-squares_binary64_1070 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-out--_binary64_1055 distribute-lft-out--_binary64_1053 associate-/r*_binary64_1045 associate-*l/_binary64_1044 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--l+_binary64_1038 associate--r+_binary64_1037 associate-+l-_binary64_1036 associate-+r-_binary64_1035
Counts
100 → 73
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151331
12361263
26741239
332401239
449261239
549781239

prune61.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh022
Picked101
Done011
Total73477
Error
0.0b
Counts
77 → 4
Compiler

Compiled 889 to 604 computations (32.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (exp.f64 x) 2)
0.0b
(+.f64 (exp.f64 x) 1)
0.0b
(pow.f64 (exp.f64 x) 3)
7.0b
(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite133.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×add-sqr-sqrt_binary64_1123
20×*-un-lft-identity_binary64_1101
12×add-cube-cbrt_binary64_1136
unpow-prod-down_binary64_1180
add-log-exp_binary64_1140 difference-of-squares_binary64_1070 pow-pow_binary64_1173
pow1_binary64_1162 cube-prod_binary64_1129 pow-unpow_binary64_1178 exp-prod_binary64_1153
add-cbrt-cube_binary64_1137 sqr-pow_binary64_1073
add-exp-log_binary64_1139 difference-of-sqr-1_binary64_1071
cancel-sign-sub-inv_binary64_1067
pow-to-exp_binary64_1170 pow-exp_binary64_1169
diff-log_binary64_1193 flip3--_binary64_1105 sub-neg_binary64_1094 flip--_binary64_1076 distribute-lft-out--_binary64_1053 unpow3_binary64_1167 cube-mult_binary64_1131 rem-cube-cbrt_binary64_1124 sum-log_binary64_1192 flip3-+_binary64_1104 flip-+_binary64_1075 distribute-lft-out_binary64_1052 +-commutative_binary64_1031 unpow2_binary64_1166
Counts
4 → 86
Calls

4 calls:

10.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms
(+.f64 (exp.f64 x) 1)
3.0ms
(pow.f64 (exp.f64 x) 3)
3.0ms
(pow.f64 (exp.f64 x) 2)
Compiler

Compiled 1916 to 1239 computations (35.3% saved)

series206.0ms (5.6%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

68.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) 1)
53.0ms
(pow.f64 (exp.f64 x) 3)
34.0ms
(pow.f64 (exp.f64 x) 2)
21.0ms
(+.f64 (exp.f64 x) 1)
Compiler

Compiled 1040 to 778 computations (25.2% saved)

simplify75.0ms (2%)

Algorithm
egg-herbie
Rules
431×unswap-sqr_binary64_1069
261×exp-prod_binary64_1153
248×log-prod_binary64_1187
244×associate-+l+_binary64_1034
195×cube-prod_binary64_1129 sqr-pow_binary64_1073
193×associate-+r+_binary64_1033
174×*-commutative_binary64_1032
166×distribute-rgt-in_binary64_1051
164×difference-of-squares_binary64_1070
143×distribute-lft-in_binary64_1050
105×exp-sum_binary64_1147
82×+-commutative_binary64_1031
75×distribute-rgt-out_binary64_1054
69×pow-sqr_binary64_1074
65×associate-*l*_binary64_1042
60×associate-*r*_binary64_1041
59×difference-of-sqr--1_binary64_1072
53×sub-neg_binary64_1094
44×difference-of-sqr-1_binary64_1071
43×distribute-lft-out_binary64_1052
41×prod-exp_binary64_1150
40×log-pow_binary64_1190
31×rem-sqrt-square_binary64_1114
30×unpow3_binary64_1167
29×pow-plus_binary64_1164
25×neg-sub0_binary64_1096 cancel-sign-sub-inv_binary64_1067
22×neg-mul-1_binary64_1097
20×cube-unmult_binary64_1138 swap-sqr_binary64_1068
19×cube-mult_binary64_1131
18×*-rgt-identity_binary64_1091
14×distribute-rgt-neg-in_binary64_1059
12×*-lft-identity_binary64_1090
11×distribute-lft-neg-in_binary64_1058
10×distribute-rgt1-in_binary64_1057
unsub-neg_binary64_1095 mul-1-neg_binary64_1093
unpow1/2_binary64_1165 rem-exp-log_binary64_1141 distribute-rgt-out--_binary64_1055
associate-/l/_binary64_1048 associate-*r/_binary64_1043
unpow2_binary64_1166 unpow1_binary64_1159
count-2_binary64_1049 associate-+l-_binary64_1036
exp-lft-cube_binary64_1157 rem-cbrt-cube_binary64_1125 distribute-lft-out--_binary64_1053 associate-/r/_binary64_1047 associate-/l*_binary64_1046 associate-+r-_binary64_1035
exp-to-pow_binary64_1163 div-exp_binary64_1152 1-exp_binary64_1145 exp-1-e_binary64_1144 rem-log-exp_binary64_1142 rem-3cbrt-lft_binary64_1126 rem-cube-cbrt_binary64_1124 rem-square-sqrt_binary64_1113 sub0-neg_binary64_1088 +-rgt-identity_binary64_1086 distribute-rgt-neg-out_binary64_1061 distribute-lft-neg-out_binary64_1060 distribute-lft1-in_binary64_1056 associate--l+_binary64_1038
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 log-div_binary64_1188 pow-base-0_binary64_1185 unpow1/3_binary64_1168 pow-base-1_binary64_1161 unpow0_binary64_1160 unpow-1_binary64_1158 exp-lft-sqr_binary64_1156 exp-cbrt_binary64_1155 exp-sqrt_binary64_1154 rec-exp_binary64_1151 exp-diff_binary64_1149 exp-neg_binary64_1148 e-exp-1_binary64_1146 exp-0_binary64_1143 cube-div_binary64_1130 cube-neg_binary64_1128 rem-3cbrt-rft_binary64_1127 sqr-abs_binary64_1116 sqr-neg_binary64_1115 times-frac_binary64_1107 div-sub_binary64_1106 /-rgt-identity_binary64_1092 remove-double-neg_binary64_1089 --rgt-identity_binary64_1087 +-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 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 associate-/r*_binary64_1045 associate-*l/_binary64_1044 associate--r-_binary64_1040 associate--l-_binary64_1039 associate--r+_binary64_1037
Counts
110 → 68
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01511165
13161107
28491050
330451050
449701050

prune78.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh112
Picked101
Done011
Total69372
Error
0.0b
Counts
72 → 3
Compiler

Compiled 1381 to 872 computations (36.9% saved)

regimes204.0ms (5.5%)

Accuracy

Total 0.4b remaining (96.3%)

Threshold costs 0.4b (96.3%)

Compiler

Compiled 1876 to 1541 computations (17.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_1032
+-commutative_binary64_1031
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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
11922
21922

end0.0ms (0%)

sample1.7s (45.7%)

Algorithm
intervals
Results
494.0ms3954×body1024valid
128.0ms1967×body512valid
91.0ms8000×pre128true
66.0ms458×body2048valid
41.0ms1064×body256valid
11.0ms557×body128valid
Compiler

Compiled 511 to 415 computations (18.8% saved)

Profiling

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