Details

Time bar (total: 583.0ms)

analyze148.0ms (25.3%)

Algorithm
search
egg-herbie
Rules
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 1-exp_binary64_1145 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 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 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 +-commutative_binary64_1031
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14
Compiler

Compiled 4 to 4 computations (0% saved)

sample12.0ms (2%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 7 to 9 computations (-28.6% saved)

simplify9.0ms (1.5%)

Algorithm
egg-herbie
Rules
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 1-exp_binary64_1145 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 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 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 +-commutative_binary64_1031
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

prune2.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 3 to 3 computations (0% saved)

localize2.0ms (0.4%)

rewrite0.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (1.3%)

Algorithm
egg-herbie
Rules
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 1-exp_binary64_1145 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 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 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 +-commutative_binary64_1031
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end0.0ms (0%)

sample399.0ms (68.4%)

Algorithm
intervals
Results
125.0ms8000×body128valid
Compiler

Compiled 10 to 12 computations (-20% saved)

Profiling

Loading profile data...