Details

Time bar (total: 2.3min)

analyze18.2s (13%)

Algorithm
search
egg-herbie
Rules
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
difference-of-squares_binary64_1070 cancel-sign-sub-inv_binary64_1067
1-exp_binary64_1145
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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04103212
111743121
249493121
349973121
055
155
Search
TrueOtherFalseIter
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
Compiler

Compiled 184 to 125 computations (32.1% saved)

sample882.0ms (0.6%)

Algorithm
intervals
Results
285.0ms54×body1024valid
187.0ms33×body1024invalid
110.0ms155×body128valid
93.0ms28×body512valid
41.0ms59×body128invalid
38.0ms11×body512invalid
34.0ms15×body256valid
26.0msbody2048valid
18.0msbody256invalid
Compiler

Compiled 367 to 254 computations (30.8% saved)

simplify62.0ms (0%)

Algorithm
egg-herbie
Rules
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
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
distribute-lft-neg-in_binary64_1058
distribute-rgt-neg-in_binary64_1059 distribute-rgt-out_binary64_1054 distribute-lft-out_binary64_1052
cancel-sign-sub-inv_binary64_1067
sqr-neg_binary64_1115 distribute-neg-frac_binary64_1065
div0_binary64_1082 difference-of-squares_binary64_1070 distribute-neg-in_binary64_1062 associate-+l+_binary64_1034 associate-+r+_binary64_1033
1-exp_binary64_1145
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
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057292
1159287
2592287
34709283
45020283

prune19.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
63.4b
Counts
2 → 1
Compiler

Compiled 361 to 244 computations (32.4% saved)

localize80.0ms (0.1%)

Local error

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)))

rewrite8.1s (5.8%)

Algorithm
rewrite-expression-head
Error
63.4b
Rules
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
frac-times_binary64_1111
pow-to-exp_binary64_1170
pow1_binary64_1162 add-log-exp_binary64_1140
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
Counts
4 → 225
Calls

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))
Compiler

Compiled 70937 to 45015 computations (36.5% saved)

series1.0min (43.8%)

Error
50.7b
Counts
4 → 25
Calls

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))
Compiler

Compiled 36429 to 25989 computations (28.7% saved)

simplify1.4s (1%)

Algorithm
egg-herbie
Rules
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
sqr-neg_binary64_1115
log-div_binary64_1188 difference-of-squares_binary64_1070
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
log-pow_binary64_1190 unpow3_binary64_1167 cube-mult_binary64_1131 rem-sqrt-square_binary64_1114 rem-square-sqrt_binary64_1113 div0_binary64_1082
unpow1/2_binary64_1165 exp-prod_binary64_1153 exp-neg_binary64_1148 1-exp_binary64_1145
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
Counts
250 → 233
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076095951
1199190636
2569190636

prune7.4s (5.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New21914233
Fresh000
Picked011
Done000
Total21915234
Error
50.4b
Counts
234 → 15
Compiler

Compiled 69585 to 41014 computations (41.1% saved)

localize49.0ms (0%)

Local error

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)))

rewrite160.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
50.4b
Rules
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
Counts
4 → 28
Calls

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)))
Compiler

Compiled 2660 to 1685 computations (36.7% saved)

series219.0ms (0.2%)

Error
50.3b
Counts
4 → 12
Calls

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)))
Compiler

Compiled 3184 to 2222 computations (30.2% saved)

simplify218.0ms (0.2%)

Algorithm
egg-herbie
Rules
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-exp_binary64_1145
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
Counts
40 → 4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023585
131501
240501
347501
454501
569501
6106501
7207501
8551501
91147501
101286501
111549501
121854501
132264501
142827501
153286501
163590501
173706501
183726501
193730501
203730501
214527501
225187501

prune97.0ms (0.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New314
Fresh01313
Picked011
Done011
Total31619
Error
50.4b
Counts
19 → 16
Compiler

Compiled 1877 to 1306 computations (30.4% saved)

localize47.0ms (0%)

Local error

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)))

rewrite166.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
50.4b
Rules
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
Counts
4 → 28
Calls

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)))
Compiler

Compiled 2744 to 1769 computations (35.5% saved)

series238.0ms (0.2%)

Error
50.3b
Counts
4 → 12
Calls

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)))
Compiler

Compiled 3292 to 2330 computations (29.2% saved)

simplify226.0ms (0.2%)

Algorithm
egg-herbie
Rules
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-exp_binary64_1145
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
Counts
40 → 4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023585
131501
240501
347501
454501
569501
6106501
7207501
8551501
91147501
101286501
111549501
121854501
132264501
142827501
153286501
163590501
173706501
183726501
193730501
203730501
214527501
225187501

prune92.0ms (0.1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New404
Fresh01313
Picked011
Done022
Total41620
Error
50.4b
Counts
20 → 16
Compiler

Compiled 1798 to 1251 computations (30.4% saved)

localize48.0ms (0%)

Local error

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)))

rewrite162.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
50.4b
Rules
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
Counts
4 → 28
Calls

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)))
Compiler

Compiled 2660 to 1685 computations (36.7% saved)

series222.0ms (0.2%)

Error
50.4b
Counts
4 → 12
Calls

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)))
Compiler

Compiled 3184 to 2222 computations (30.2% saved)

simplify227.0ms (0.2%)

Algorithm
egg-herbie
Rules
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-exp_binary64_1145
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
Counts
40 → 4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023585
131501
240501
347501
454501
569501
6106501
7207501
8551501
91147501
101286501
111549501
121854501
132264501
142827501
153286501
163590501
173706501
183726501
193730501
203730501
214527501
225187501

prune19.0ms (0%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New314
Fresh01212
Picked101
Done033
Total41620
Error
50.4b
Counts
20 → 16
Compiler

Compiled 364 to 241 computations (33.8% saved)

regimes5.3s (3.8%)

Accuracy

Total 7.8b remaining (13.7%)

Threshold costs 0b (0%)

Compiler

Compiled 82077 to 58059 computations (29.3% saved)

bsearch565.0ms (0.4%)

Steps
ItersRangePoint
9
3.989745364419307e-105
2.1276948602845188e-98
7.413933609618962e-103
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Rules
20×*-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
065325
193325
293325

end0.0ms (0%)

sample34.3s (24.6%)

Algorithm
intervals
Results
9.5s1891×body1024valid
5.0s951×body1024invalid
3.3s4552×body128valid
3.0s906×body512valid
1.6s460×body512invalid
1.6s214×body2048valid
1.3s1797×body128invalid
836.0ms436×body256valid
501.0ms242×body256invalid
22.0msbody4096valid
Compiler

Compiled 9862 to 6983 computations (29.2% saved)

Profiling

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