Details

analyze675.0ms (13.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

100×	`distribute-rgt-in_binary64_1051`
78×	`associate-+l+_binary64_1034`
66×	`associate-+r+_binary64_1033`
64×	`distribute-lft-in_binary64_1050`
47×	`+-commutative_binary64_1031`
24×	`*-rgt-identity_binary64_1091`
18×	`distribute-rgt-out_binary64_1054` `associate-l_binary64_1042` `associate-r_binary64_1041`
16×	`*-commutative_binary64_1032`
15×	`*-lft-identity_binary64_1090`
1×	`1-exp_binary64_1145` `swap-x-y`
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` `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` `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-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	43	40
2	103	40
3	174	40
4	302	40
5	302	40
6	278	40
7	264	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

33×	`distribute-rgt-in_binary64_1051`
26×	`associate-+l+_binary64_1034`
22×	`associate-+r+_binary64_1033`
21×	`distribute-lft-in_binary64_1050`
16×	`+-commutative_binary64_1031`
11×	`*-rgt-identity_binary64_1091`
8×	`distribute-rgt-out_binary64_1054` `associate-l_binary64_1042` `associate-r_binary64_1041`
7×	`*-lft-identity_binary64_1090`
6×	`*-commutative_binary64_1032`
1×	`1-exp_binary64_1145`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-prod_binary64_1153` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-unmult_binary64_1138` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `div-sub_binary64_1106` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `unsub-neg_binary64_1095` `sub-neg_binary64_1094` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `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-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	43	10
3	72	10
4	116	10
5	118	10
6	110	10
7	104	10

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`add-sqr-sqrt_binary64_1123`
4×	`frac-times_binary64_1111` `associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136`
2×	`associate-l/_binary64_1044` `associate-r/_binary64_1043` `distribute-lft-out_binary64_1052`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `*-commutative_binary64_1032`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 492 to 257 computations (47.8% saved)

series170.0ms (3.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

158.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 383 to 228 computations (40.5% saved)

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

803×	`distribute-rgt-in_binary64_1051`
766×	`distribute-lft-in_binary64_1050`
258×	`unsub-neg_binary64_1095`
250×	`cancel-sign-sub-inv_binary64_1067`
230×	`sub-neg_binary64_1094`
224×	`neg-mul-1_binary64_1097`
216×	`neg-sub0_binary64_1096`
211×	`*-commutative_binary64_1032`
161×	`associate-+r+_binary64_1033`
117×	`associate-+l+_binary64_1034`
104×	`unswap-sqr_binary64_1069`
87×	`sqr-pow_binary64_1073`
79×	`exp-sum_binary64_1147`
78×	`distribute-rgt-out_binary64_1054`
77×	`associate-l_binary64_1042`
72×	`*-rgt-identity_binary64_1091`
70×	`distribute-lft-neg-out_binary64_1060`
64×	`associate-+l-_binary64_1036`
63×	`associate-r_binary64_1041`
62×	`*-lft-identity_binary64_1090` `distribute-rgt-neg-out_binary64_1061`
53×	`exp-prod_binary64_1153`
50×	`associate-+r-_binary64_1035`
43×	`rem-sqrt-square_binary64_1114`
40×	`sub0-neg_binary64_1088`
34×	`distribute-rgt-neg-in_binary64_1059`
33×	`+-commutative_binary64_1031`
29×	`+-rgt-identity_binary64_1086` `distribute-neg-in_binary64_1062`
25×	`associate--r+_binary64_1037`
23×	`distribute-lft-neg-in_binary64_1058`
20×	`remove-double-neg_binary64_1089`
19×	`mul-1-neg_binary64_1093`
16×	`pow-sqr_binary64_1074` `distribute-neg-out_binary64_1063`
14×	`swap-sqr_binary64_1068`
12×	`cube-prod_binary64_1129`
10×	`distribute-rgt1-in_binary64_1057`
9×	`unpow1/2_binary64_1165` `distribute-lft1-in_binary64_1056`
8×	`div-sub_binary64_1106` `difference-of-squares_binary64_1070` `distribute-rgt-out--_binary64_1055`
7×	`log-prod_binary64_1187` `exp-diff_binary64_1149`
6×	`sqr-neg_binary64_1115` `distribute-lft-out_binary64_1052`
3×	`unpow3_binary64_1167` `cube-unmult_binary64_1138` `cube-mult_binary64_1131`
2×	`associate-/l/_binary64_1048` `associate-/l_binary64_1046` `associate-r/_binary64_1043` `associate--l+_binary64_1038`
1×	`pow-plus_binary64_1164` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-neg_binary64_1128` `difference-of-sqr-1_binary64_1071` `count-2_binary64_1049` `associate-/r/_binary64_1047` `associate-/r*_binary64_1045`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow2_binary64_1166` `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` `cube-div_binary64_1130` `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` `times-frac_binary64_1107` `/-rgt-identity_binary64_1092` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-lft-out--_binary64_1053` `associate-l/_binary64_1044` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Counts

48 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	700
1	270	622
2	854	622
3	3032	622
4	3711	622
5	4802	622
6	4982	622

prune37.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Error

Counts

43 → 5

Compiler

Compiled 568 to 292 computations (48.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
0.0b	(*.f64 z (+.f64 y x))

rewrite52.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64_1101`
7×	`add-log-exp_binary64_1140`
6×	`add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `associate-r_binary64_1041` `frac-add_binary64_1109`
3×	`associate-l_binary64_1042` `sum-log_binary64_1192`
2×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `distribute-lft-out_binary64_1052` `distribute-rgt-out_binary64_1054` `associate-+l+_binary64_1034`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `distribute-lft1-in_binary64_1056` `associate-+r+_binary64_1033` `+-commutative_binary64_1031`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
6.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 822 to 198 computations (75.9% saved)

series345.0ms (6.8%)

Error

Counts

2 → 33

Calls

2 calls:

202.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
125.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 746 to 401 computations (46.2% saved)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

413×	`associate--l+_binary64_1038`
365×	`associate-+l+_binary64_1034`
338×	`*-commutative_binary64_1032`
333×	`associate-+r+_binary64_1033`
319×	`distribute-rgt-out_binary64_1054`
304×	`associate--r+_binary64_1037`
243×	`cancel-sign-sub-inv_binary64_1067`
154×	`sub-neg_binary64_1094`
148×	`distribute-rgt-in_binary64_1051`
139×	`distribute-lft-in_binary64_1050`
127×	`unsub-neg_binary64_1095`
122×	`associate-l_binary64_1042`
120×	`neg-mul-1_binary64_1097`
116×	`+-commutative_binary64_1031`
104×	`associate-r_binary64_1041`
92×	`distribute-rgt-neg-in_binary64_1059` `distribute-rgt-out--_binary64_1055`
78×	`distribute-neg-in_binary64_1062`
73×	`distribute-lft-neg-in_binary64_1058`
66×	`exp-sum_binary64_1147`
59×	`distribute-lft-out_binary64_1052`
53×	`neg-sub0_binary64_1096` `sqr-pow_binary64_1073`
39×	`exp-prod_binary64_1153`
35×	`distribute-lft-neg-out_binary64_1060`
30×	`associate--r-_binary64_1040`
26×	`associate--l-_binary64_1039`
24×	`distribute-rgt1-in_binary64_1057`
23×	`distribute-rgt-neg-out_binary64_1061`
21×	`associate-+r-_binary64_1035`
20×	`unswap-sqr_binary64_1069`
19×	`distribute-lft1-in_binary64_1056`
17×	`+-rgt-identity_binary64_1086`
15×	`cube-prod_binary64_1129` `*-lft-identity_binary64_1090` `associate-+l-_binary64_1036`
14×	`log-prod_binary64_1187` `swap-sqr_binary64_1068`
10×	`*-rgt-identity_binary64_1091`
9×	`distribute-lft-out--_binary64_1053`
8×	`div-sub_binary64_1106` `sub0-neg_binary64_1088`
7×	`pow-plus_binary64_1164`
6×	`unpow3_binary64_1167` `unpow1/2_binary64_1165`
5×	`prod-exp_binary64_1150` `cube-mult_binary64_1131` `pow-sqr_binary64_1074` `difference-of-squares_binary64_1070`
4×	`exp-diff_binary64_1149`
2×	`sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `distribute-neg-out_binary64_1063` `associate-/l*_binary64_1046`
1×	`unpow2_binary64_1166` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-unmult_binary64_1138` `difference-of-sqr--1_binary64_1072` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate-*r/_binary64_1043`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `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` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `associate-/r/_binary64_1047` `associate-/r_binary64_1045` `associate-*l/_binary64_1044`

Counts

78 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	995
1	322	926
2	1227	902
3	2782	902
4	4897	902
5	4774	902

prune44.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	58	3	61

Error

Counts

61 → 3

Compiler

Compiled 748 to 239 computations (68% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 y z) (.f64 x z)) (+.f64 y x))
0.0b	(+.f64 (.f64 y z) (.f64 x z))

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-log-exp_binary64_1140`
10×	`*-un-lft-identity_binary64_1101`
9×	`sum-log_binary64_1192`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-rgt-out_binary64_1054`
4×	`frac-add_binary64_1109` `distribute-lft-out_binary64_1052`
2×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `+-commutative_binary64_1031`
1×	`distribute-lft1-in_binary64_1056` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Counts

2 → 37

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 y z) (.f64 x z)) (+.f64 y x))
4.0ms	(+.f64 (.f64 y z) (.f64 x z))

Compiler

Compiled 884 to 162 computations (81.7% saved)

series342.0ms (6.8%)

Error

Counts

2 → 33

Calls

2 calls:

179.0ms	(+.f64 (+.f64 (.f64 y z) (.f64 x z)) (+.f64 y x))
148.0ms	(+.f64 (.f64 y z) (.f64 x z))

Compiler

Compiled 746 to 401 computations (46.2% saved)

simplify111.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

367×	`*-commutative_binary64_1032`
365×	`distribute-rgt-out_binary64_1054`
364×	`associate--l+_binary64_1038`
353×	`associate-+l+_binary64_1034`
322×	`cancel-sign-sub-inv_binary64_1067`
290×	`associate-+r+_binary64_1033`
239×	`unsub-neg_binary64_1095`
184×	`sub-neg_binary64_1094`
154×	`neg-mul-1_binary64_1097`
145×	`neg-sub0_binary64_1096`
139×	`distribute-rgt-in_binary64_1051`
130×	`+-commutative_binary64_1031`
127×	`distribute-rgt-neg-in_binary64_1059` `distribute-lft-in_binary64_1050`
107×	`associate-l_binary64_1042`
103×	`distribute-lft-neg-in_binary64_1058`
97×	`associate-r_binary64_1041`
96×	`distribute-rgt-out--_binary64_1055`
92×	`distribute-neg-in_binary64_1062`
83×	`distribute-lft-out_binary64_1052`
67×	`exp-sum_binary64_1147`
56×	`unswap-sqr_binary64_1069`
55×	`exp-prod_binary64_1153` `distribute-lft-neg-out_binary64_1060`
54×	`sqr-pow_binary64_1073`
45×	`associate--r+_binary64_1037`
30×	`associate-+r-_binary64_1035`
29×	`distribute-rgt-neg-out_binary64_1061` `associate--l-_binary64_1039`
26×	`associate-+l-_binary64_1036`
22×	`+-rgt-identity_binary64_1086` `distribute-lft-out--_binary64_1053`
20×	`distribute-rgt1-in_binary64_1057`
15×	`associate--r-_binary64_1040`
14×	`swap-sqr_binary64_1068`
13×	`cube-prod_binary64_1129` `sub0-neg_binary64_1088`
10×	`prod-exp_binary64_1150`
8×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `pow-sqr_binary64_1074` `difference-of-squares_binary64_1070` `distribute-lft1-in_binary64_1056`
6×	`pow-plus_binary64_1164`
5×	`log-prod_binary64_1187`
4×	`exp-diff_binary64_1149`
2×	`div-sub_binary64_1106` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `cancel-sign-sub_binary64_1066` `distribute-neg-out_binary64_1063` `associate-/l*_binary64_1046`
1×	`unpow1/2_binary64_1165` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-unmult_binary64_1138` `sqr-neg_binary64_1115` `difference-of-sqr--1_binary64_1072` `associate-/l/_binary64_1048` `associate-*r/_binary64_1043`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow2_binary64_1166` `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` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr-1_binary64_1071` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `count-2_binary64_1049` `associate-/r/_binary64_1047` `associate-/r_binary64_1045` `associate-*l/_binary64_1044`

Counts

70 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1128
1	329	1014
2	1289	947
3	2903	924
4	4702	924
5	4980	924
6	4881	924

prune36.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 726 to 228 computations (68.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 z 1))
0.0b	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1)))
0.0b	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1)))
0.2b	(.f64 (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1))) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1))))

rewrite532.0ms (10.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

242×	`sqrt-div_binary64_1118`
144×	`frac-times_binary64_1111`
121×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
68×	`pow1_binary64_1162`
48×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
41×	`pow-prod-down_binary64_1172`
30×	`add-sqr-sqrt_binary64_1123`
28×	`sqrt-prod_binary64_1117`
23×	`*-un-lft-identity_binary64_1101`
21×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119`
20×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
15×	`associate-l_binary64_1042` `associate-r_binary64_1041`
13×	`add-cube-cbrt_binary64_1136`
10×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
8×	`pow-prod-up_binary64_1171` `unswap-sqr_binary64_1069`
7×	`sqrt-unprod_binary64_1121`
6×	`pow-sqr_binary64_1074`
5×	`distribute-lft-out_binary64_1052`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`pow-plus_binary64_1164`
1×	`pow2_binary64_1182` `rem-square-sqrt_binary64_1113` `swap-sqr_binary64_1068` `rem-sqrt-square_binary64_1114`

Counts

4 → 220

Calls

4 calls:

24.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1))) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1))))
12.0ms	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1)))
12.0ms	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1)))
3.0ms	(sqrt.f64 (+.f64 z 1))

Compiler

Compiled 8056 to 4119 computations (48.9% saved)

series547.0ms (10.9%)

Error

Counts

4 → 52

Calls

4 calls:

159.0ms	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1)))
159.0ms	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1)))
157.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1))) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 z 1))))
25.0ms	(sqrt.f64 (+.f64 z 1))

Compiler

Compiled 2885 to 1909 computations (33.8% saved)

simplify190.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

915×	`distribute-rgt-in_binary64_1051`
887×	`distribute-lft-in_binary64_1050`
496×	`associate-l_binary64_1042`
457×	`associate-r_binary64_1041`
335×	`*-commutative_binary64_1032`
94×	`cancel-sign-sub-inv_binary64_1067`
79×	`swap-sqr_binary64_1068`
69×	`unswap-sqr_binary64_1069`
49×	`+-commutative_binary64_1031`
47×	`distribute-rgt-neg-in_binary64_1059`
40×	`distribute-rgt-out_binary64_1054`
38×	`distribute-lft-neg-in_binary64_1058`
34×	`exp-prod_binary64_1153` `*-lft-identity_binary64_1090`
31×	`sub-neg_binary64_1094`
30×	`sqr-pow_binary64_1073` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
29×	`log-prod_binary64_1187`
24×	`exp-sum_binary64_1147`
23×	`*-rgt-identity_binary64_1091`
18×	`cube-prod_binary64_1129`
15×	`rem-sqrt-square_binary64_1114` `associate--l+_binary64_1038`
14×	`times-frac_binary64_1107`
13×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `distribute-rgt-out--_binary64_1055`
12×	`distribute-lft-out_binary64_1052`
10×	`rem-square-sqrt_binary64_1113`
9×	`distribute-rgt1-in_binary64_1057`
6×	`cube-unmult_binary64_1138`
5×	`unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `pow-sqr_binary64_1074`
4×	`associate-/r*_binary64_1045`
3×	`unpow3_binary64_1167` `pow-plus_binary64_1164` `cube-mult_binary64_1131` `distribute-lft-neg-out_binary64_1060` `distribute-lft-out--_binary64_1053`
2×	`unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `difference-of-squares_binary64_1070` `count-2_binary64_1049` `associate-/l*_binary64_1046` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-rgt-neg-out_binary64_1061` `distribute-lft1-in_binary64_1056`
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` `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-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `div-sub_binary64_1106` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-l/_binary64_1044` `associate-*r/_binary64_1043` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--r+_binary64_1037`

Counts

272 → 237

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	8127
1	810	7179
2	1944	7086
3	5686	7086

prune320.0ms (6.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	237	3	240

Error

Counts

240 → 3

Compiler

Compiled 6358 to 3074 computations (51.7% saved)

regimes370.0ms (7.3%)

Accuracy

Total 0.0b remaining (92.8%)

Threshold costs 0.0b (92.8%)

Compiler

Compiled 2946 to 2479 computations (15.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_1031`
2×	`*-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` `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)

Iter	Nodes	Cost
0	9	16
1	14	16
2	14	16

Remove

(sort x y)

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

sample934.0ms (18.5%)

Algorithm

1×

intervals

Results

193.0ms	7998×	body	128	valid
12.0ms	565×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 451 to 376 computations (16.6% saved)

Details

analyze675.0ms (13.4%)

sample22.0ms (0.4%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite42.0ms (0.8%)

series170.0ms (3.4%)

simplify88.0ms (1.7%)

prune37.0ms (0.7%)

localize7.0ms (0.1%)

rewrite52.0ms (1%)

series345.0ms (6.8%)

simplify84.0ms (1.7%)

prune44.0ms (0.9%)

localize7.0ms (0.1%)

rewrite46.0ms (0.9%)

series342.0ms (6.8%)

simplify111.0ms (2.2%)

prune36.0ms (0.7%)

localize10.0ms (0.2%)

rewrite532.0ms (10.6%)

series547.0ms (10.9%)

simplify190.0ms (3.8%)

prune320.0ms (6.3%)

regimes370.0ms (7.3%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample934.0ms (18.5%)

Profiling