Details

analyze820.0ms (2.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`associate-/r_binary64_1045` `-commutative_binary64_1032`
1×	`swap-V-l`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `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-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_1031`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	84
1	52	84
2	60	84
3	60	84
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Symmetry

(sort V l)

Compiler

Compiled 9 to 9 computations (0% saved)

sample44.0ms (0.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	120×	body	128	nan
1.0ms	28×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× associate-/r*_binary64_1045 *-commutative_binary64_1032

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1364 erf-erfc_binary64_1363 erf-odd_binary64_1362 if-if-and-not_binary64_1361 if-if-and_binary64_1360 if-if-or-not_binary64_1359 if-if-or_binary64_1358 if-not_binary64_1357 if-same_binary64_1356 if-false_binary64_1355 if-true_binary64_1354 not-gte_binary64_1353 not-lte_binary64_1352 not-gt_binary64_1351 not-lt_binary64_1350 gte-same_binary64_1349 lte-same_binary64_1348 gt-same_binary64_1347 lt-same_binary64_1346 sinh---cosh_binary64_1293 sinh-+-cosh_binary64_1292 sinh-cosh_binary64_1291 tanh-def-c_binary64_1290 tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 cosh-def_binary64_1287 sinh-def_binary64_1286 tan-neg_binary64_1233 cos-neg_binary64_1232 sin-neg_binary64_1231 tan-0_binary64_1230 cos-0_binary64_1229 sin-0_binary64_1228 hang-m-tan_binary64_1227 hang-p-tan_binary64_1226 hang-m0-tan_binary64_1225 hang-p0-tan_binary64_1224 hang-0m-tan_binary64_1223 hang-0p-tan_binary64_1222 tan-+PI/2_binary64_1221 tan-+PI_binary64_1220 tan-PI_binary64_1219 tan-PI/3_binary64_1218 tan-PI/4_binary64_1217 tan-PI/6_binary64_1216 cos-+PI/2_binary64_1215 cos-+PI_binary64_1214 cos-PI_binary64_1213 cos-PI/2_binary64_1212 cos-PI/3_binary64_1211 cos-PI/4_binary64_1210 cos-PI/6_binary64_1209 sin-+PI/2_binary64_1208 sin-+PI_binary64_1207 sin-PI_binary64_1206 sin-PI/2_binary64_1205 sin-PI/3_binary64_1204 sin-PI/4_binary64_1203 sin-PI/6_binary64_1202 sub-1-sin_binary64_1201 sub-1-cos_binary64_1200 -1-add-sin_binary64_1199 -1-add-cos_binary64_1198 1-sub-sin_binary64_1197 1-sub-cos_binary64_1196 cos-sin-sum_binary64_1195 log-E_binary64_1191 log-pow_binary64_1190 log-rec_binary64_1189 log-div_binary64_1188 log-prod_binary64_1187 pow-base-0_binary64_1185 unpow1/3_binary64_1168 unpow3_binary64_1167 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-*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_1031

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	15	12
3	15	12

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

21.2b

Counts

1 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

1.6b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.3b	(/.f64 A (*.f64 V l))
17.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite98.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

10.8b

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`sqrt-div_binary64_1118` `prod-exp_binary64_1150` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `*-commutative_binary64_1032`

Counts

3 → 66

Calls

3 calls:

13.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 937 to 244 computations (74% saved)

series480.0ms (1.3%)

Error

21.2b

Counts

3 → 30

Calls

3 calls:

213.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
157.0ms	(/.f64 A (*.f64 V l))
95.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify115.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

682×	`div-sub_binary64_1106`
403×	`times-frac_binary64_1107`
347×	`associate-/l*_binary64_1046`
261×	`distribute-rgt-in_binary64_1051`
258×	`associate-l_binary64_1042`
248×	`associate-/r*_binary64_1045`
203×	`associate-*l/_binary64_1044`
190×	`sub-neg_binary64_1094`
174×	`associate-r_binary64_1041`
171×	`associate-*r/_binary64_1043`
166×	`distribute-lft-in_binary64_1050`
161×	`distribute-rgt-neg-in_binary64_1059`
145×	`distribute-neg-frac_binary64_1065`
138×	`distribute-lft-neg-in_binary64_1058`
126×	`unsub-neg_binary64_1095`
123×	`associate-/l/_binary64_1048`
94×	`associate-/r/_binary64_1047`
93×	`sqr-pow_binary64_1073` `cancel-sign-sub-inv_binary64_1067`
87×	`*-commutative_binary64_1032`
73×	`neg-sub0_binary64_1096`
72×	`neg-mul-1_binary64_1097`
68×	`+-commutative_binary64_1031`
55×	`associate-+l+_binary64_1034`
51×	`associate-+l-_binary64_1036`
45×	`distribute-lft-neg-out_binary64_1060`
41×	`associate--r+_binary64_1037`
40×	`associate-+r+_binary64_1033`
37×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
36×	`associate--l+_binary64_1038`
32×	`div0_binary64_1082`
28×	`pow-sqr_binary64_1074` `unswap-sqr_binary64_1069` `associate--r-_binary64_1040`
25×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090`
24×	`associate--l-_binary64_1039`
23×	`swap-sqr_binary64_1068` `distribute-neg-in_binary64_1062`
19×	`log-prod_binary64_1187` `rem-sqrt-square_binary64_1114`
15×	`sub0-neg_binary64_1088`
14×	`exp-prod_binary64_1153` `associate-+r-_binary64_1035`
12×	`/-rgt-identity_binary64_1092`
11×	`distribute-frac-neg_binary64_1064`
10×	`--rgt-identity_binary64_1087` `distribute-rgt-neg-out_binary64_1061`
9×	`cube-prod_binary64_1129`
8×	`log-div_binary64_1188` `cube-unmult_binary64_1138`
7×	`mul-1-neg_binary64_1093`
6×	`+-rgt-identity_binary64_1086` `distribute-rgt-out_binary64_1054` `distribute-lft-out_binary64_1052`
5×	`unpow1/2_binary64_1165` `cube-div_binary64_1130` `remove-double-neg_binary64_1089` `+-lft-identity_binary64_1085`
3×	`pow-plus_binary64_1164` `distribute-rgt1-in_binary64_1057`
2×	`unpow3_binary64_1167` `distribute-neg-out_binary64_1063` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049`
1×	`log-pow_binary64_1190` `unpow2_binary64_1166` `unpow1_binary64_1159` `exp-diff_binary64_1149` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-square-sqrt_binary64_1113` `distribute-lft-out--_binary64_1053`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-rec_binary64_1189` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `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` `*-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-rgt-out--_binary64_1055`

Counts

96 → 40

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1180
1	249	1105
2	833	1105
3	2473	1105
4	2892	1105
5	3507	1105
6	4314	1105
7	4894	1105

prune47.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	30	10	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	11	41

Error

16.4b

Counts

41 → 11

Compiler

Compiled 614 to 216 computations (64.8% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

1.6b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
2.1b	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
3.2b	(/.f64 V (/.f64 (cbrt.f64 A) l))
17.7b	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

rewrite785.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

849×	`times-frac_binary64_1107`
358×	`add-sqr-sqrt_binary64_1123`
331×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
157×	`sqrt-prod_binary64_1117`
146×	`cbrt-prod_binary64_1132`
93×	`associate-/r*_binary64_1045`
79×	`associate-r_binary64_1041`
32×	`add-exp-log_binary64_1139`
24×	`div-inv_binary64_1098`
23×	`add-cbrt-cube_binary64_1137`
15×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
8×	`associate-/r/_binary64_1047`
7×	`pow1_binary64_1162`
6×	`unswap-sqr_binary64_1069`
5×	`rem-sqrt-square_binary64_1114`
4×	`add-log-exp_binary64_1140` `associate-/l*_binary64_1046` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
3×	`associate-l_binary64_1042`
2×	`sqrt-div_binary64_1118` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `-commutative_binary64_1032`

Counts

4 → 463

Calls

4 calls:

36.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
24.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
20.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
8.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))

Compiler

Compiled 12615 to 2772 computations (78% saved)

series1.0s (2.9%)

Error

16.4b

Counts

4 → 39

Calls

4 calls:

479.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
241.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
189.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
115.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

Compiler

Compiled 1588 to 1179 computations (25.8% saved)

simplify411.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-/r/_binary64_1047`
563×	`associate-/l/_binary64_1048`
398×	`associate-*l/_binary64_1044`
376×	`associate-l_binary64_1042`
267×	`associate-/l_binary64_1046` `associate-r*_binary64_1041`
229×	`associate-/r*_binary64_1045`
209×	`*-rgt-identity_binary64_1091`
200×	`associate-*r/_binary64_1043`
165×	`times-frac_binary64_1107`
111×	`*-lft-identity_binary64_1090`
99×	`*-commutative_binary64_1032`
67×	`log-prod_binary64_1187` `cancel-sign-sub-inv_binary64_1067`
66×	`sub-neg_binary64_1094`
65×	`div-sub_binary64_1106`
58×	`log-div_binary64_1188`
53×	`cube-prod_binary64_1129`
51×	`sqr-pow_binary64_1073`
47×	`cube-div_binary64_1130`
42×	`neg-sub0_binary64_1096`
39×	`swap-sqr_binary64_1068`
32×	`exp-prod_binary64_1153`
29×	`neg-mul-1_binary64_1097`
22×	`unswap-sqr_binary64_1069`
15×	`/-rgt-identity_binary64_1092`
14×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `mul-1-neg_binary64_1093` `distribute-neg-frac_binary64_1065`
10×	`cube-unmult_binary64_1138`
7×	`distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`
5×	`unsub-neg_binary64_1095`
4×	`pow-plus_binary64_1164` `rem-sqrt-square_binary64_1114` `div0_binary64_1082`
3×	`log-rec_binary64_1189` `remove-double-neg_binary64_1089` `remove-double-div_binary64_1077` `pow-sqr_binary64_1074` `distribute-neg-in_binary64_1062`
2×	`unpow1/3_binary64_1168` `cube-neg_binary64_1128` `sqr-neg_binary64_1115` `associate--r-_binary64_1040`
1×	`log-pow_binary64_1190` `exp-diff_binary64_1149` `exp-sum_binary64_1147` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cube-cbrt_binary64_1124` `rem-square-sqrt_binary64_1113` `count-2_binary64_1049` `associate--l+_binary64_1038` `+-commutative_binary64_1031`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `pow-base-0_binary64_1185` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `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` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `rem-cbrt-cube_binary64_1125` `sqr-abs_binary64_1116` `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` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `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` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate--l-_binary64_1039` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Counts

502 → 348

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	13760
1	1442	12618
2	4818	12589
3	4341	12589
4	4992	12589

prune416.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	329	19	348
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	336	23	359

Error

1.5b

Counts

359 → 23

Compiler

Compiled 8095 to 1791 computations (77.9% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 V)
1.4b	(/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l))
1.6b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l)))))
4.8b	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l)))

rewrite119.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

14×	`add-exp-log_binary64_1139` `add-sqr-sqrt_binary64_1123`
13×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`times-frac_binary64_1107` `cbrt-prod_binary64_1132`
11×	`add-cbrt-cube_binary64_1137`
10×	`pow1_binary64_1162` `sqrt-prod_binary64_1117`
6×	`associate-/l*_binary64_1046`
4×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
3×	`pow-prod-down_binary64_1172` `associate-l_binary64_1042`
2×	`sqrt-div_binary64_1118` `div-inv_binary64_1098` `associate-*r/_binary64_1043` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `associate-r_binary64_1041` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r_binary64_1045` `pow1/3_binary64_1183`

Counts

4 → 78

Calls

4 calls:

10.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l)))))
6.0ms	(/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l))
5.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l)))
1.0ms	(cbrt.f64 V)

Compiler

Compiled 1859 to 404 computations (78.3% saved)

series2.1s (5.9%)

Error

1.3b

Counts

4 → 33

Calls

4 calls:

940.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l)))))
550.0ms	(/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l))
485.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) l)))
110.0ms	(cbrt.f64 V)

Compiler

Compiled 2310 to 1805 computations (21.9% saved)

simplify143.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

438×	`*-commutative_binary64_1032`
236×	`associate-/r*_binary64_1045`
208×	`distribute-rgt-in_binary64_1051`
200×	`associate-*l/_binary64_1044`
196×	`associate-/l*_binary64_1046`
195×	`associate-*r/_binary64_1043`
178×	`associate-l_binary64_1042`
165×	`exp-prod_binary64_1153`
145×	`associate-r_binary64_1041`
130×	`exp-sum_binary64_1147`
124×	`sub-neg_binary64_1094` `distribute-rgt-neg-in_binary64_1059`
117×	`distribute-lft-neg-in_binary64_1058`
113×	`log-prod_binary64_1187`
112×	`log-pow_binary64_1190`
111×	`times-frac_binary64_1107`
110×	`sqr-pow_binary64_1073`
103×	`unswap-sqr_binary64_1069`
86×	`log-div_binary64_1188`
82×	`cancel-sign-sub-inv_binary64_1067`
81×	`div-sub_binary64_1106`
76×	`distribute-neg-frac_binary64_1065`
72×	`exp-diff_binary64_1149`
70×	`neg-sub0_binary64_1096`
69×	`associate-/l/_binary64_1048`
64×	`unsub-neg_binary64_1095`
63×	`neg-mul-1_binary64_1097`
56×	`associate-/r/_binary64_1047`
41×	`exp-to-pow_binary64_1163`
37×	`distribute-neg-in_binary64_1062`
28×	`swap-sqr_binary64_1068` `distribute-lft-in_binary64_1050`
27×	`pow-sqr_binary64_1074`
25×	`+-commutative_binary64_1031`
22×	`exp-neg_binary64_1148` `distribute-neg-out_binary64_1063` `associate-+r-_binary64_1035`
20×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
18×	`distribute-frac-neg_binary64_1064` `associate--r+_binary64_1037`
14×	`unpow1/3_binary64_1168` `cube-unmult_binary64_1138`
13×	`associate-+l-_binary64_1036`
12×	`associate-+r+_binary64_1033`
11×	`log-rec_binary64_1189` `unpow3_binary64_1167` `cube-div_binary64_1130` `cube-prod_binary64_1129` `associate-+l+_binary64_1034`
9×	`mul-1-neg_binary64_1093` `distribute-rgt-out_binary64_1054` `associate--r-_binary64_1040`
8×	`rem-exp-log_binary64_1141` `sub0-neg_binary64_1088`
7×	`pow-plus_binary64_1164` `rem-sqrt-square_binary64_1114` `associate--l-_binary64_1039`
6×	`cube-mult_binary64_1131` `+-rgt-identity_binary64_1086` `associate--l+_binary64_1038`
4×	`*-rgt-identity_binary64_1091` `--rgt-identity_binary64_1087`
3×	`prod-exp_binary64_1150` `/-rgt-identity_binary64_1092` `div0_binary64_1082` `distribute-lft-out_binary64_1052`
2×	`rem-3cbrt-lft_binary64_1126` `sqr-abs_binary64_1116` `remove-double-neg_binary64_1089` `count-2_binary64_1049`
1×	`unpow2_binary64_1166` `1-exp_binary64_1145` `rem-square-sqrt_binary64_1113` `*-lft-identity_binary64_1090` `distribute-rgt-out--_binary64_1055`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/2_binary64_1165` `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` `div-exp_binary64_1152` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-neg_binary64_1115` `+-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` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053`

Counts

111 → 82

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	231	2279
1	474	2085
2	1241	2056
3	3247	1824
4	4681	1812
5	4952	1812
6	4937	1812

prune121.0ms (0.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	6	15	21
Picked	1	0	1
Done	0	1	1
Total	81	24	105

Error

1.3b

Counts

105 → 24

Compiler

Compiled 2109 to 736 computations (65.1% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l)))
1.1b	(/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))
1.6b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))))))
4.8b	(sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))))

rewrite5.0s (13.9%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

5081×	`times-frac_binary64_1107`
2992×	`cbrt-prod_binary64_1132`
2235×	`add-sqr-sqrt_binary64_1123`
2179×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
769×	`sqrt-prod_binary64_1117`
222×	`associate-/r*_binary64_1045`
73×	`div-inv_binary64_1098`
23×	`add-exp-log_binary64_1139`
19×	`rem-sqrt-square_binary64_1114`
14×	`add-cbrt-cube_binary64_1137`
12×	`associate-/r/_binary64_1047`
10×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
9×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042`
2×	`sqrt-div_binary64_1118` `associate-*r/_binary64_1043` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

4 → 2031

Calls

4 calls:

114.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))))))
108.0ms	(sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))))
57.0ms	(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l)))
13.0ms	(/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))

Compiler

Compiled 92837 to 16128 computations (82.6% saved)

series2.8s (7.8%)

Error

1.3b

Counts

4 → 39

Calls

4 calls:

922.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))))))
760.0ms	(/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))
564.0ms	(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l)))
512.0ms	(sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))))

Compiler

Compiled 2913 to 2209 computations (24.2% saved)

simplify2.0s (5.5%)

Algorithm

1×	egg-herbie

Rules

1409×	`associate-/r/_binary64_1047`
223×	`associate-/l*_binary64_1046`
69×	`*-commutative_binary64_1032`
31×	`remove-double-div_binary64_1077`
26×	`exp-prod_binary64_1153` `associate-/r*_binary64_1045`
25×	`associate-r_binary64_1041`
22×	`associate-l_binary64_1042`
17×	`/-rgt-identity_binary64_1092`
11×	`log-div_binary64_1188`
10×	`log-prod_binary64_1187` `associate-*r/_binary64_1043`
9×	`sub-neg_binary64_1094`
8×	`exp-sum_binary64_1147` `sqr-pow_binary64_1073` `associate-/l/_binary64_1048`
5×	`unpow1/3_binary64_1168` `associate-*l/_binary64_1044`
4×	`times-frac_binary64_1107` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `mul-1-neg_binary64_1093` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
3×	`log-rec_binary64_1189`
2×	`swap-sqr_binary64_1068` `distribute-neg-frac_binary64_1065` `associate--r-_binary64_1040`
1×	`log-pow_binary64_1190` `1-exp_binary64_1145` `sqr-abs_binary64_1116` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `associate-+r+_binary64_1033`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `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` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `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-neg_binary64_1115` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `-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` `pow-sqr_binary64_1074` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `unswap-sqr_binary64_1069` `cancel-sign-sub-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `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` `count-2_binary64_1049` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034` `+-commutative_binary64_1031`

Counts

2070 → 1096

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2774	112238
1	4955	112238
2	5011	112238

prune1.7s (4.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1092	4	1096
Fresh	3	19	22
Picked	1	0	1
Done	0	1	1
Total	1096	24	1120

Error

1.0b

Counts

1120 → 24

Compiler

Compiled 44372 to 6944 computations (84.4% saved)

regimes8.1s (22.5%)

Accuracy

Total 1.7b remaining (67.7%)

Threshold costs 0b (0%)

Compiler

Compiled 98737 to 59103 computations (40.1% saved)

bsearch0.0ms (0%)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4× *-commutative_binary64_1032

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	88
1	31	88
2	31	88

Remove

(sort V l)

Compiler

Compiled 102 to 52 computations (49% saved)

end0.0ms (0%)

sample9.5s (26.4%)

Algorithm

1×

intervals

Results

332.0ms	8000×	body	128	valid
122.0ms	3063×	body	128	nan
35.0ms	893×	body	128	invalid

Compiler

Compiled 12212 to 7298 computations (40.2% saved)

Details

analyze820.0ms (2.3%)

sample44.0ms (0.1%)

simplify9.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0%)

rewrite98.0ms (0.3%)

series480.0ms (1.3%)

simplify115.0ms (0.3%)

prune47.0ms (0.1%)

localize12.0ms (0%)

rewrite785.0ms (2.2%)

series1.0s (2.9%)

simplify411.0ms (1.1%)

prune416.0ms (1.2%)

localize15.0ms (0%)

rewrite119.0ms (0.3%)

series2.1s (5.9%)

simplify143.0ms (0.4%)

prune121.0ms (0.3%)

localize25.0ms (0.1%)

rewrite5.0s (13.9%)

series2.8s (7.8%)

simplify2.0s (5.5%)

prune1.7s (4.8%)

regimes8.1s (22.5%)

bsearch0.0ms (0%)

simplify15.0ms (0%)

end0.0ms (0%)

sample9.5s (26.4%)

Profiling