Details

analyze224.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

464×	`times-frac_binary64_1107`
407×	`neg-mul-1_binary64_1097`
388×	`neg-sub0_binary64_1096` `associate-/r/_binary64_1047`
311×	`associate-/l/_binary64_1048`
286×	`unswap-sqr_binary64_1069`
260×	`associate-l_binary64_1042`
251×	`associate-r_binary64_1041`
234×	`distribute-frac-neg_binary64_1064`
207×	`*-commutative_binary64_1032`
200×	`cancel-sign-sub-inv_binary64_1067`
183×	`div-sub_binary64_1106`
176×	`sub-neg_binary64_1094`
155×	`associate-*l/_binary64_1044`
151×	`associate-/r*_binary64_1045`
146×	`distribute-rgt-neg-out_binary64_1061`
142×	`distribute-rgt-in_binary64_1051`
141×	`unsub-neg_binary64_1095`
126×	`associate-/l*_binary64_1046`
124×	`distribute-neg-frac_binary64_1065`
95×	`distribute-rgt-neg-in_binary64_1059`
85×	`distribute-lft-in_binary64_1050`
77×	`distribute-lft-neg-out_binary64_1060`
66×	`distribute-lft-neg-in_binary64_1058`
64×	`associate-*r/_binary64_1043`
46×	`/-rgt-identity_binary64_1092`
45×	`sqr-pow_binary64_1073`
43×	`*-rgt-identity_binary64_1091` `div0_binary64_1082`
36×	`*-lft-identity_binary64_1090`
32×	`exp-prod_binary64_1153` `mul0-lft_binary64_1083`
31×	`mul0-rgt_binary64_1084` `swap-sqr_binary64_1068` `distribute-neg-in_binary64_1062`
29×	`remove-double-neg_binary64_1089` `+-lft-identity_binary64_1085`
28×	`exp-neg_binary64_1148`
25×	`exp-diff_binary64_1149` `exp-sum_binary64_1147` `cube-prod_binary64_1129`
22×	`cancel-sign-sub_binary64_1066`
21×	`sqr-neg_binary64_1115`
20×	`pow-sqr_binary64_1074`
19×	`pow-plus_binary64_1164`
18×	`associate-+l-_binary64_1036`
17×	`+-commutative_binary64_1031`
16×	`distribute-neg-out_binary64_1063`
15×	`sub0-neg_binary64_1088` `associate--r+_binary64_1037`
12×	`mul-1-neg_binary64_1093`
10×	`associate-+l+_binary64_1034`
9×	`cube-unmult_binary64_1138`
8×	`exp-sqrt_binary64_1154` `associate--r-_binary64_1040`
7×	`associate--l-_binary64_1039` `associate-+r-_binary64_1035`
6×	`associate-+r+_binary64_1033`
5×	`unpow3_binary64_1167` `exp-lft-sqr_binary64_1156`
4×	`prod-exp_binary64_1150` `--rgt-identity_binary64_1087` `remove-double-div_binary64_1077` `associate--l+_binary64_1038`
3×	`unpow2_binary64_1166` `cube-neg_binary64_1128` `rem-sqrt-square_binary64_1114` `distribute-rgt-out--_binary64_1055`
2×	`unpow1_binary64_1159` `div-exp_binary64_1152` `cube-mult_binary64_1131` `+-rgt-identity_binary64_1086`
1×	`unpow1/2_binary64_1165` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-div_binary64_1130` `rem-square-sqrt_binary64_1113` `*-inverses_binary64_1081` `rgt-mult-inverse_binary64_1078` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out_binary64_1054` `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` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample57.0ms (1.1%)

Algorithm

1×

intervals

Results

34.0ms	131×	body	1024	valid
8.0ms	60×	body	512	valid
3.0ms	12×	body	2048	valid
2.0ms	30×	body	256	valid
1.0ms	23×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64_1107`
407×	`neg-mul-1_binary64_1097`
388×	`neg-sub0_binary64_1096` `associate-/r/_binary64_1047`
311×	`associate-/l/_binary64_1048`
286×	`unswap-sqr_binary64_1069`
260×	`associate-l_binary64_1042`
251×	`associate-r_binary64_1041`
234×	`distribute-frac-neg_binary64_1064`
207×	`*-commutative_binary64_1032`
200×	`cancel-sign-sub-inv_binary64_1067`
183×	`div-sub_binary64_1106`
176×	`sub-neg_binary64_1094`
155×	`associate-*l/_binary64_1044`
151×	`associate-/r*_binary64_1045`
146×	`distribute-rgt-neg-out_binary64_1061`
142×	`distribute-rgt-in_binary64_1051`
141×	`unsub-neg_binary64_1095`
126×	`associate-/l*_binary64_1046`
124×	`distribute-neg-frac_binary64_1065`
95×	`distribute-rgt-neg-in_binary64_1059`
85×	`distribute-lft-in_binary64_1050`
77×	`distribute-lft-neg-out_binary64_1060`
66×	`distribute-lft-neg-in_binary64_1058`
64×	`associate-*r/_binary64_1043`
46×	`/-rgt-identity_binary64_1092`
45×	`sqr-pow_binary64_1073`
43×	`*-rgt-identity_binary64_1091` `div0_binary64_1082`
36×	`*-lft-identity_binary64_1090`
32×	`exp-prod_binary64_1153` `mul0-lft_binary64_1083`
31×	`mul0-rgt_binary64_1084` `swap-sqr_binary64_1068` `distribute-neg-in_binary64_1062`
29×	`remove-double-neg_binary64_1089` `+-lft-identity_binary64_1085`
28×	`exp-neg_binary64_1148`
25×	`exp-diff_binary64_1149` `exp-sum_binary64_1147` `cube-prod_binary64_1129`
22×	`cancel-sign-sub_binary64_1066`
21×	`sqr-neg_binary64_1115`
20×	`pow-sqr_binary64_1074`
19×	`pow-plus_binary64_1164`
18×	`associate-+l-_binary64_1036`
17×	`+-commutative_binary64_1031`
16×	`distribute-neg-out_binary64_1063`
15×	`sub0-neg_binary64_1088` `associate--r+_binary64_1037`
12×	`mul-1-neg_binary64_1093`
10×	`associate-+l+_binary64_1034`
9×	`cube-unmult_binary64_1138`
8×	`exp-sqrt_binary64_1154` `associate--r-_binary64_1040`
7×	`associate--l-_binary64_1039` `associate-+r-_binary64_1035`
6×	`associate-+r+_binary64_1033`
5×	`unpow3_binary64_1167` `exp-lft-sqr_binary64_1156`
4×	`prod-exp_binary64_1150` `--rgt-identity_binary64_1087` `remove-double-div_binary64_1077` `associate--l+_binary64_1038`
3×	`unpow2_binary64_1166` `cube-neg_binary64_1128` `rem-sqrt-square_binary64_1114` `distribute-rgt-out--_binary64_1055`
2×	`unpow1_binary64_1159` `div-exp_binary64_1152` `cube-mult_binary64_1131` `+-rgt-identity_binary64_1086`
1×	`unpow1/2_binary64_1165` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-div_binary64_1130` `rem-square-sqrt_binary64_1113` `*-inverses_binary64_1081` `rgt-mult-inverse_binary64_1078` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out_binary64_1054` `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` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22

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

58.3b

Counts

1 → 1

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite113.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_1101`
31×	`add-sqr-sqrt_binary64_1123`
30×	`times-frac_binary64_1107`
17×	`add-cube-cbrt_binary64_1136`
8×	`cosh-undef_binary64_1295` `distribute-lft-out_binary64_1052`
7×	`sinh-undef_binary64_1294` `add-log-exp_binary64_1140` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
6×	`associate-/l*_binary64_1046`
5×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
3×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l/_binary64_1048` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `tanh-undef_binary64_1296` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

3 → 89

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series222.0ms (4.3%)

Error

0.7b

Counts

3 → 18

Calls

3 calls:

121.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
44.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
33.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify146.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

373×	`cancel-sign-sub-inv_binary64_1067`
283×	`exp-prod_binary64_1153`
265×	`unswap-sqr_binary64_1069`
221×	`div-sub_binary64_1106`
217×	`associate-l_binary64_1042`
208×	`associate-r_binary64_1041`
138×	`sub-neg_binary64_1094`
127×	`distribute-rgt-in_binary64_1051`
123×	`log-prod_binary64_1187`
118×	`*-commutative_binary64_1032`
105×	`distribute-lft-in_binary64_1050`
100×	`distribute-neg-frac_binary64_1065`
93×	`associate-*l/_binary64_1044`
92×	`+-commutative_binary64_1031`
91×	`associate-/l*_binary64_1046`
85×	`associate-+l+_binary64_1034`
82×	`associate-/l/_binary64_1048`
65×	`associate-+r+_binary64_1033`
64×	`sqr-pow_binary64_1073` `associate-*r/_binary64_1043`
63×	`cube-prod_binary64_1129` `neg-sub0_binary64_1096` `associate-/r*_binary64_1045`
59×	`neg-mul-1_binary64_1097`
55×	`unsub-neg_binary64_1095`
50×	`difference-of-squares_binary64_1070`
49×	`unpow3_binary64_1167`
41×	`associate-/r/_binary64_1047`
40×	`swap-sqr_binary64_1068`
36×	`distribute-rgt-neg-in_binary64_1059`
35×	`times-frac_binary64_1107`
34×	`associate-+r-_binary64_1035`
32×	`distribute-frac-neg_binary64_1064`
31×	`distribute-lft-neg-in_binary64_1058`
29×	`prod-exp_binary64_1150` `*-rgt-identity_binary64_1091`
28×	`exp-sum_binary64_1147`
26×	`associate-+l-_binary64_1036`
19×	`log-div_binary64_1188` `*-lft-identity_binary64_1090`
18×	`exp-diff_binary64_1149`
17×	`distribute-neg-in_binary64_1062` `associate--l+_binary64_1038`
16×	`pow-plus_binary64_1164` `associate--r+_binary64_1037`
15×	`cube-unmult_binary64_1138` `cube-div_binary64_1130`
14×	`+-rgt-identity_binary64_1086`
13×	`sub0-neg_binary64_1088`
11×	`div-exp_binary64_1152` `mul0-lft_binary64_1083` `distribute-lft-neg-out_binary64_1060`
10×	`log-pow_binary64_1190` `pow-sqr_binary64_1074`
9×	`rem-sqrt-square_binary64_1114` `mul0-rgt_binary64_1084`
7×	`/-rgt-identity_binary64_1092`
6×	`difference-of-sqr--1_binary64_1072` `distribute-rgt-neg-out_binary64_1061` `distribute-rgt1-in_binary64_1057` `distribute-rgt-out_binary64_1054`
5×	`remove-double-neg_binary64_1089` `associate--r-_binary64_1040` `associate--l-_binary64_1039`
4×	`rec-exp_binary64_1151` `difference-of-sqr-1_binary64_1071` `distribute-rgt-out--_binary64_1055` `distribute-lft-out_binary64_1052`
3×	`cube-mult_binary64_1131` `mul-1-neg_binary64_1093` `distribute-neg-out_binary64_1063`
2×	`log-rec_binary64_1189` `unpow1_binary64_1159` `exp-neg_binary64_1148` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049`
1×	`cosh-def_binary64_1287` `sinh-def_binary64_1286` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `1-exp_binary64_1145` `cube-neg_binary64_1128` `rem-3cbrt-lft_binary64_1126` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079`
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` `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` `unpow1/3_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` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `div0_binary64_1082` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `cancel-sign-sub_binary64_1066` `distribute-lft-out--_binary64_1053`

Counts

107 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2671
1	391	2495
2	930	2484
3	2634	2484
4	4646	2484
5	5039	2484

prune59.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Error

0.2b

Counts

52 → 4

Compiler

Compiled 955 to 303 computations (68.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.7b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

9×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
1×	`pow1_binary64_1162` `div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `sinh-def_binary64_1286` `associate-/l/_binary64_1048` `cosh-def_binary64_1287` `associate-/r/_binary64_1047`

Counts

1 → 29

Calls

1 calls:

4.0ms

(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 351 to 99 computations (71.8% saved)

series180.0ms (3.5%)

Error

0.2b

Counts

1 → 6

Calls

1 calls:

174.0ms

(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 164 to 116 computations (29.3% saved)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

687×	`associate-/l/_binary64_1048`
536×	`times-frac_binary64_1107`
430×	`associate-/l*_binary64_1046`
405×	`associate-*l/_binary64_1044`
354×	`associate-/r/_binary64_1047`
248×	`cancel-sign-sub-inv_binary64_1067`
237×	`associate-/r*_binary64_1045`
182×	`div-sub_binary64_1106` `neg-mul-1_binary64_1097`
171×	`sub-neg_binary64_1094`
101×	`distribute-neg-frac_binary64_1065`
87×	`distribute-rgt-in_binary64_1051`
83×	`distribute-lft-in_binary64_1050`
80×	`neg-sub0_binary64_1096`
68×	`*-commutative_binary64_1032`
61×	`log-div_binary64_1188`
55×	`cube-div_binary64_1130`
52×	`exp-prod_binary64_1153` `sqr-pow_binary64_1073`
49×	`distribute-rgt-neg-in_binary64_1059`
47×	`exp-sum_binary64_1147`
44×	`unswap-sqr_binary64_1069`
43×	`associate-*r/_binary64_1043`
42×	`distribute-lft-neg-in_binary64_1058`
40×	`associate-l_binary64_1042` `associate-r_binary64_1041`
37×	`cube-prod_binary64_1129`
35×	`unsub-neg_binary64_1095`
34×	`log-prod_binary64_1187`
33×	`*-lft-identity_binary64_1090`
28×	`/-rgt-identity_binary64_1092`
25×	`unpow3_binary64_1167`
22×	`swap-sqr_binary64_1068` `+-commutative_binary64_1031`
19×	`cube-mult_binary64_1131` `*-rgt-identity_binary64_1091`
17×	`remove-double-neg_binary64_1089` `div0_binary64_1082`
15×	`exp-diff_binary64_1149`
14×	`exp-sqrt_binary64_1154`
13×	`associate-+l-_binary64_1036`
12×	`cube-unmult_binary64_1138` `associate-+r-_binary64_1035`
11×	`distribute-neg-in_binary64_1062`
10×	`prod-exp_binary64_1150` `associate--l+_binary64_1038`
9×	`sub0-neg_binary64_1088`
8×	`log-rec_binary64_1189`
7×	`sqr-neg_binary64_1115` `+-rgt-identity_binary64_1086`
6×	`exp-lft-sqr_binary64_1156` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `distribute-lft-neg-out_binary64_1060` `associate--r+_binary64_1037` `associate-+r+_binary64_1033`
5×	`rem-sqrt-square_binary64_1114` `pow-sqr_binary64_1074` `associate-+l+_binary64_1034`
4×	`pow-plus_binary64_1164` `cube-neg_binary64_1128` `distribute-rgt-neg-out_binary64_1061` `associate--l-_binary64_1039`
3×	`rec-exp_binary64_1151` `mul-1-neg_binary64_1093` `remove-double-div_binary64_1077` `associate--r-_binary64_1040`
1×	`cosh-def_binary64_1287` `sinh-def_binary64_1286` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `exp-neg_binary64_1148` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rgt-mult-inverse_binary64_1078` `distribute-rgt1-in_binary64_1057` `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` `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` `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` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `div-exp_binary64_1152` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `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` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `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-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`

Counts

35 → 12

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	570
1	166	536
2	415	536
3	1146	490
4	4127	490
5	4717	490
6	4927	490

prune13.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.2b

Counts

16 → 4

Compiler

Compiled 168 to 96 computations (42.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.0b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
0.0b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite140.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

23×	`add-sqr-sqrt_binary64_1123`
15×	`associate-r_binary64_1041`
14×	`add-exp-log_binary64_1139`
11×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`associate-l_binary64_1042`
8×	`add-cbrt-cube_binary64_1137` `unpow-prod-down_binary64_1180`
7×	`unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150`
4×	`pow1_binary64_1162` `cube-prod_binary64_1129` `sqr-pow_binary64_1073`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032` `diff-log_binary64_1193` `sum-log_binary64_1192` `sub-neg_binary64_1094` `associate-+l+_binary64_1034` `cancel-sign-sub-inv_binary64_1067`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

4 → 83

Calls

4 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series283.0ms (5.4%)

Error

0.2b

Counts

4 → 17

Calls

4 calls:

90.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
65.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
62.0ms	(*.f64 (pow.f64 x 5) 2/15)
52.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 506 to 420 computations (17% saved)

simplify105.0ms (2%)

Algorithm

1×	egg-herbie

Rules

554×	`unswap-sqr_binary64_1069`
488×	`cancel-sign-sub-inv_binary64_1067`
303×	`log-prod_binary64_1187`
295×	`*-commutative_binary64_1032`
164×	`distribute-rgt-in_binary64_1051`
159×	`exp-prod_binary64_1153`
154×	`distribute-lft-in_binary64_1050`
146×	`distribute-rgt-neg-in_binary64_1059`
131×	`distribute-lft-neg-in_binary64_1058`
121×	`sqr-pow_binary64_1073`
117×	`associate-l_binary64_1042`
109×	`associate-r_binary64_1041`
101×	`unsub-neg_binary64_1095`
98×	`cube-prod_binary64_1129` `sub-neg_binary64_1094`
95×	`neg-mul-1_binary64_1097`
94×	`neg-sub0_binary64_1096`
85×	`swap-sqr_binary64_1068`
48×	`associate-+l+_binary64_1034`
43×	`distribute-neg-in_binary64_1062`
42×	`associate-+r+_binary64_1033`
36×	`+-commutative_binary64_1031`
34×	`exp-sum_binary64_1147`
27×	`log-pow_binary64_1190` `distribute-rgt-out_binary64_1054`
26×	`difference-of-squares_binary64_1070`
22×	`unpow3_binary64_1167`
19×	`pow-sqr_binary64_1074`
18×	`exp-diff_binary64_1149` `distribute-lft-neg-out_binary64_1060`
17×	`associate--r+_binary64_1037`
15×	`times-frac_binary64_1107` `associate-+l-_binary64_1036`
14×	`pow-plus_binary64_1164` `cube-mult_binary64_1131` `distribute-rgt-out--_binary64_1055`
13×	`associate--l+_binary64_1038` `associate-+r-_binary64_1035`
10×	`rem-sqrt-square_binary64_1114` `distribute-neg-out_binary64_1063`
9×	`cube-unmult_binary64_1138` `sub0-neg_binary64_1088`
8×	`+-rgt-identity_binary64_1086` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `associate-/l*_binary64_1046`
7×	`distribute-rgt-neg-out_binary64_1061`
6×	`*-rgt-identity_binary64_1091` `remove-double-neg_binary64_1089` `distribute-lft-out_binary64_1052`
5×	`*-lft-identity_binary64_1090` `distribute-rgt1-in_binary64_1057`
4×	`associate--r-_binary64_1040`
3×	`div-exp_binary64_1152` `--rgt-identity_binary64_1087` `associate-/r*_binary64_1045`
2×	`unpow1/3_binary64_1168` `prod-exp_binary64_1150` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049`
1×	`unpow1/2_binary64_1165` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-neg_binary64_1128` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `distribute-lft1-in_binary64_1056` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `associate--l-_binary64_1039`
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` `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` `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` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `sqr-abs_binary64_1116` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `+-lft-identity_binary64_1085` `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-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`

Counts

100 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1323
1	319	1256
2	956	1240
3	2403	1240
4	4811	1240
5	5019	1240

prune83.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	61	4	65

Error

0.2b

Counts

65 → 4

Compiler

Compiled 1187 to 910 computations (23.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (cbrt.f64 x) 5)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite100.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

12×	`cbrt-prod_binary64_1132`
10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`unpow-prod-down_binary64_1180`
5×	`pow1_binary64_1162` `add-exp-log_binary64_1139`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow-unpow_binary64_1178`
2×	`pow-pow_binary64_1173`
1×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `sqr-pow_binary64_1073`

Counts

4 → 54

Calls

4 calls:

3.0ms	(pow.f64 (cbrt.f64 x) 5)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1438 to 846 computations (41.2% saved)

series568.0ms (10.9%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

194.0ms	(pow.f64 (cbrt.f64 x) 5)
120.0ms	(cbrt.f64 x)
117.0ms	(cbrt.f64 x)
116.0ms	(cbrt.f64 x)

Compiler

Compiled 894 to 687 computations (23.2% saved)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

765×	`distribute-rgt-in_binary64_1051`
723×	`distribute-lft-in_binary64_1050`
395×	`log-prod_binary64_1187`
357×	`unswap-sqr_binary64_1069`
236×	`distribute-rgt-neg-in_binary64_1059`
235×	`distribute-lft-neg-in_binary64_1058`
225×	`*-commutative_binary64_1032`
187×	`exp-prod_binary64_1153`
176×	`sqr-pow_binary64_1073`
169×	`cube-prod_binary64_1129`
143×	`associate-l_binary64_1042`
110×	`associate-r_binary64_1041`
72×	`cancel-sign-sub-inv_binary64_1067`
56×	`unpow3_binary64_1167`
49×	`log-pow_binary64_1190`
46×	`distribute-rgt-out_binary64_1054`
45×	`pow-plus_binary64_1164`
40×	`pow-sqr_binary64_1074`
39×	`cube-unmult_binary64_1138` `cube-mult_binary64_1131`
36×	`neg-sub0_binary64_1096`
34×	`neg-mul-1_binary64_1097`
27×	`swap-sqr_binary64_1068`
21×	`distribute-lft-out_binary64_1052`
16×	`rem-sqrt-square_binary64_1114`
15×	`associate-/l*_binary64_1046`
13×	`sub-neg_binary64_1094`
12×	`count-2_binary64_1049`
11×	`associate-/l/_binary64_1048`
9×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090`
8×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
6×	`associate-*r/_binary64_1043`
5×	`unpow2_binary64_1166`
4×	`unpow1/3_binary64_1168` `times-frac_binary64_1107` `mul-1-neg_binary64_1093` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
3×	`associate-*l/_binary64_1044`
2×	`/-rgt-identity_binary64_1092` `associate-/r/_binary64_1047` `+-commutative_binary64_1031`
1×	`unpow1/2_binary64_1165` `unpow1_binary64_1159` `1-exp_binary64_1145` `rem-3cbrt-lft_binary64_1126` `distribute-rgt1-in_binary64_1057`
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` `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` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `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-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate-/r_binary64_1045` `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

66 → 33

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	58	508
1	116	487
2	271	481
3	793	481
4	1717	473
5	4599	455
6	4841	455

prune51.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	33	4	37

Error

0.2b

Counts

37 → 4

Compiler

Compiled 805 to 511 computations (36.5% saved)

regimes138.0ms (2.6%)

Accuracy

Total 0.0b remaining (99%)

Threshold costs 0.0b (99%)

Compiler

Compiled 1272 to 992 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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 *-commutative_binary64_1032 +-commutative_binary64_1031

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.4s (46.8%)

Algorithm

1×

intervals

Results

1.0s	3868×	body	1024	valid
272.0ms	1977×	body	512	valid
112.0ms	388×	body	2048	valid
80.0ms	988×	body	256	valid
34.0ms	779×	body	128	valid

Compiler

Compiled 638 to 499 computations (21.8% saved)

Details

analyze224.0ms (4.3%)

sample57.0ms (1.1%)

simplify71.0ms (1.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite113.0ms (2.2%)

series222.0ms (4.3%)

simplify146.0ms (2.8%)

prune59.0ms (1.1%)

localize4.0ms (0.1%)

rewrite24.0ms (0.5%)

series180.0ms (3.5%)

simplify86.0ms (1.7%)

prune13.0ms (0.2%)

localize9.0ms (0.2%)

rewrite140.0ms (2.7%)

series283.0ms (5.4%)

simplify105.0ms (2%)

prune83.0ms (1.6%)

localize15.0ms (0.3%)

rewrite100.0ms (1.9%)

series568.0ms (10.9%)

simplify73.0ms (1.4%)

prune51.0ms (1%)

regimes138.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (46.8%)

Profiling