Details

analyze0.0ms (0%)

Algorithm

1×

random

sample34.0ms (3.5%)

Algorithm

1×

intervals

Results

27.0ms

256×

body

128

valid

Compiler

Compiled 89 to 89 computations (0% saved)

simplify154.0ms (15.8%)

Algorithm

1×	egg-herbie

Rules

506×	`+-commutative_binary64_1031`
467×	`associate-+l+_binary64_1034`
456×	`distribute-rgt-in_binary64_1051`
386×	`associate-+r+_binary64_1033`
372×	`distribute-rgt-neg-in_binary64_1059`
362×	`cancel-sign-sub-inv_binary64_1067`
302×	`distribute-lft-in_binary64_1050`
298×	`*-commutative_binary64_1032`
259×	`distribute-lft-neg-in_binary64_1058`
258×	`unswap-sqr_binary64_1069`
254×	`unsub-neg_binary64_1095` `associate-l_binary64_1042`
226×	`associate-r_binary64_1041`
158×	`sub-neg_binary64_1094`
134×	`neg-mul-1_binary64_1097`
132×	`neg-sub0_binary64_1096`
108×	`associate-/l/_binary64_1048`
95×	`distribute-lft-neg-out_binary64_1060`
89×	`distribute-neg-in_binary64_1062`
64×	`sqr-pow_binary64_1073`
63×	`distribute-rgt-neg-out_binary64_1061`
56×	`associate--r+_binary64_1037`
46×	`pow-sqr_binary64_1074`
42×	`associate--l+_binary64_1038`
38×	`associate-+l-_binary64_1036`
33×	`associate-+r-_binary64_1035`
31×	`remove-double-neg_binary64_1089`
27×	`times-frac_binary64_1107`
26×	`distribute-rgt-out_binary64_1054`
24×	`associate-/l*_binary64_1046`
21×	`cancel-sign-sub_binary64_1066` `associate-*r/_binary64_1043`
14×	`sub0-neg_binary64_1088`
13×	`+-rgt-identity_binary64_1086`
12×	`/-rgt-identity_binary64_1092` `associate--l-_binary64_1039`
11×	`cube-unmult_binary64_1138`
10×	`--rgt-identity_binary64_1087` `associate--r-_binary64_1040`
8×	`mul0-lft_binary64_1083` `distribute-lft-out_binary64_1052`
7×	`pow-plus_binary64_1164` `mul0-rgt_binary64_1084`
6×	`associate-/r/_binary64_1047`
5×	`distribute-lft-out--_binary64_1053`
3×	`cube-prod_binary64_1129` `associate-*l/_binary64_1044`
2×	`associate-/r*_binary64_1045`
1×	`1-exp_binary64_1145` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `*-inverses_binary64_1081` `distribute-neg-out_binary64_1063` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `count-2_binary64_1049`
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` `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-mult_binary64_1131` `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-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `+-lft-identity_binary64_1085` `div0_binary64_1082` `+-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` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057`

Counts

1 → 4

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	64
1	83	64
2	239	64
3	731	64
4	2119	64
5	3278	64

prune14.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

58.1b

Counts

5 → 1

Compiler

Compiled 215 to 215 computations (0% saved)

localize25.0ms (2.5%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6))
1.0b	(*.f64 1335/4 (pow.f64 33096 6))
1.0b	(*.f64 11/2 (pow.f64 33096 8))
62.0b	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))

rewrite495.0ms (50.7%)

Algorithm

1×	rewrite-expression-head

Error

58.1b

Rules

22×	`add-sqr-sqrt_binary64_1123`
18×	`add-log-exp_binary64_1140`
14×	`add-exp-log_binary64_1139` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
12×	`add-cube-cbrt_binary64_1136`
11×	`unpow-prod-down_binary64_1180`
8×	`sum-log_binary64_1192` `add-cbrt-cube_binary64_1137`
7×	`cancel-sign-sub-inv_binary64_1067`
6×	`prod-exp_binary64_1150` `unswap-sqr_binary64_1069` `associate-l_binary64_1042`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `sqr-pow_binary64_1073`
4×	`pow1_binary64_1162` `frac-add_binary64_1109`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`
1×	`distribute-lft-out_binary64_1052` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033` `+-commutative_binary64_1031` `diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076`

Counts

4 → 89

Calls

4 calls:

25.0ms	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))
14.0ms	(-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6))
5.0ms	(*.f64 11/2 (pow.f64 33096 8))
5.0ms	(*.f64 1335/4 (pow.f64 33096 6))

Compiler

Compiled 5640 to 5640 computations (0% saved)

series1.0ms (0.1%)

Error

58.1b

Counts

4 → 0

Calls

4 calls:

0.0ms	(+.f64 (+.f64 (.f64 1335/4 (pow.f64 33096 6)) (.f64 (.f64 77617 77617) (+.f64 (-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6)) (+.f64 (.f64 -121 (pow.f64 33096 4)) -2)))) (+.f64 (.f64 11/2 (pow.f64 33096 8)) (/.f64 77617 (.f64 33096 2))))
0.0ms	(*.f64 11/2 (pow.f64 33096 8))
0.0ms	(*.f64 1335/4 (pow.f64 33096 6))
0.0ms	(-.f64 (.f64 11 (.f64 (.f64 77617 77617) (.f64 33096 33096))) (pow.f64 33096 6))

Compiler

Compiled 0 to 0 computations (0% saved)

simplify253.0ms (25.9%)

Algorithm

1×	egg-herbie

Rules

258×	`associate-*l/_binary64_1044`
224×	`associate-l_binary64_1042`
218×	`cancel-sign-sub-inv_binary64_1067`
213×	`associate-r_binary64_1041`
164×	`distribute-rgt-in_binary64_1051`
152×	`distribute-lft-in_binary64_1050`
142×	`*-commutative_binary64_1032`
133×	`distribute-rgt-neg-in_binary64_1059`
131×	`unswap-sqr_binary64_1069`
126×	`sqr-pow_binary64_1073`
115×	`distribute-lft-neg-in_binary64_1058`
92×	`associate-/l*_binary64_1046`
85×	`sub-neg_binary64_1094`
83×	`distribute-neg-in_binary64_1062`
74×	`exp-prod_binary64_1153`
73×	`times-frac_binary64_1107`
72×	`distribute-lft-neg-out_binary64_1060`
65×	`cube-prod_binary64_1129`
63×	`distribute-rgt-out_binary64_1054`
61×	`pow-sqr_binary64_1074`
59×	`associate-/r*_binary64_1045`
58×	`neg-mul-1_binary64_1097`
55×	`neg-sub0_binary64_1096`
47×	`distribute-rgt-neg-out_binary64_1061` `+-commutative_binary64_1031`
41×	`swap-sqr_binary64_1068` `associate-+l+_binary64_1034`
34×	`exp-sum_binary64_1147`
31×	`distribute-neg-frac_binary64_1065`
30×	`associate-+r+_binary64_1033`
28×	`unpow3_binary64_1167`
26×	`distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048`
22×	`cube-mult_binary64_1131` `associate-*r/_binary64_1043`
20×	`log-prod_binary64_1187`
19×	`distribute-rgt-out--_binary64_1055`
16×	`associate--r+_binary64_1037`
14×	`associate--l+_binary64_1038`
12×	`prod-exp_binary64_1150`
10×	`unsub-neg_binary64_1095`
9×	`cube-unmult_binary64_1138`
8×	`log-pow_binary64_1190` `difference-of-squares_binary64_1070`
7×	`distribute-lft-out--_binary64_1053`
6×	`pow-base-1_binary64_1161`
5×	`associate-/r/_binary64_1047` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
4×	`exp-diff_binary64_1149` `cube-div_binary64_1130`
3×	`rem-sqrt-square_binary64_1114` `*-rgt-identity_binary64_1091`
2×	`div-sub_binary64_1106` `*-lft-identity_binary64_1090` `count-2_binary64_1049`
1×	`pow-plus_binary64_1164` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `1-exp_binary64_1145` `rem-3cbrt-lft_binary64_1126` `rem-square-sqrt_binary64_1113` `+-rgt-identity_binary64_1086`
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` `log-div_binary64_1188` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `rec-exp_binary64_1151` `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-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3744
1	617	3559
2	2447	3400

Details

analyze0.0ms (0%)

sample34.0ms (3.5%)

simplify154.0ms (15.8%)

prune14.0ms (1.5%)

localize25.0ms (2.5%)

rewrite495.0ms (50.7%)

series1.0ms (0.1%)

simplify253.0ms (25.9%)

end0.0ms (0%)

Profiling