Details

analyze1.9s (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 34 to 27 computations (20.6% saved)

sample45.0ms (0%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify284.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

704×	`unswap-sqr_binary64_1069`
375×	`associate-+l+_binary64_1034`
281×	`distribute-rgt-in_binary64_1051`
262×	`pow-sqr_binary64_1074`
233×	`associate-+r+_binary64_1033`
232×	`sqr-pow_binary64_1073`
230×	`times-frac_binary64_1107`
214×	`distribute-lft-in_binary64_1050`
210×	`associate-/l/_binary64_1048`
193×	`cube-prod_binary64_1129`
189×	`associate-l_binary64_1042`
179×	`distribute-rgt-out_binary64_1054`
175×	`exp-prod_binary64_1153`
166×	`*-commutative_binary64_1032`
144×	`associate-/l*_binary64_1046`
112×	`associate-r_binary64_1041`
85×	`+-commutative_binary64_1031`
77×	`associate-/r/_binary64_1047`
64×	`distribute-lft-out_binary64_1052`
56×	`pow-plus_binary64_1164` `cube-div_binary64_1130`
54×	`associate-*l/_binary64_1044`
53×	`associate-*r/_binary64_1043`
51×	`associate-/r*_binary64_1045`
44×	`unpow3_binary64_1167`
39×	`cube-mult_binary64_1131`
29×	`swap-sqr_binary64_1068`
28×	`*-lft-identity_binary64_1090`
27×	`distribute-rgt1-in_binary64_1057`
26×	`sub-neg_binary64_1094`
24×	`*-rgt-identity_binary64_1091` `distribute-rgt-out--_binary64_1055`
19×	`distribute-lft1-in_binary64_1056`
15×	`exp-sum_binary64_1147`
14×	`cube-unmult_binary64_1138`
12×	`div-exp_binary64_1152` `prod-exp_binary64_1150` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `cancel-sign-sub-inv_binary64_1067` `distribute-lft-neg-in_binary64_1058`
11×	`exp-lft-sqr_binary64_1156`
10×	`+-inverses_binary64_1080`
9×	`remove-double-div_binary64_1077` `distribute-rgt-neg-in_binary64_1059`
8×	`/-rgt-identity_binary64_1092`
6×	`exp-sqrt_binary64_1154`
5×	`unsub-neg_binary64_1095`
4×	`pow-base-1_binary64_1161` `rec-exp_binary64_1151` `div-sub_binary64_1106` `mul0-lft_binary64_1083` `distribute-lft-out--_binary64_1053`
3×	`exp-diff_binary64_1149` `distribute-neg-frac_binary64_1065`
2×	`--rgt-identity_binary64_1087` `count-2_binary64_1049`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `remove-double-neg_binary64_1089` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `div0_binary64_1082` `*-inverses_binary64_1081` `distribute-neg-in_binary64_1062` `associate--l+_binary64_1038` `associate--r+_binary64_1037`
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` `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-cbrt_binary64_1155` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `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` `mul-1-neg_binary64_1093` `sub0-neg_binary64_1088` `mul0-rgt_binary64_1084` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	49
1	42	49
2	89	49
3	189	49
4	396	49
5	676	49
6	708	49
7	808	49
8	1063	49
9	1214	49
10	1364	49
11	2208	49
12	3262	49
13	3560	49
14	4441	49

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

27.9b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
27.2b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite272.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

Rules

24×	`add-sqr-sqrt_binary64_1123`
18×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`pow1_binary64_1162`
9×	`times-frac_binary64_1107` `associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`associate-*l/_binary64_1044`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`add-log-exp_binary64_1140`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 91

Calls

4 calls:

27.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 4579 to 1325 computations (71.1% saved)

series8.4s (3.2%)

Error

8.4b

Counts

4 → 117

Calls

4 calls:

7.0s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
404.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
340.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
226.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 25451 to 17077 computations (32.9% saved)

simplify1.8s (0.7%)

Algorithm

1×	egg-herbie

Rules

833×	`times-frac_binary64_1107`
215×	`+-commutative_binary64_1031`
198×	`*-commutative_binary64_1032`
181×	`distribute-rgt-in_binary64_1051`
171×	`distribute-lft-in_binary64_1050`
160×	`associate-+r+_binary64_1033`
114×	`associate-/r/_binary64_1047`
107×	`associate-/l*_binary64_1046`
73×	`sub-neg_binary64_1094`
70×	`unswap-sqr_binary64_1069`
63×	`sqr-pow_binary64_1073`
60×	`associate-*r/_binary64_1043`
43×	`associate-r_binary64_1041`
40×	`distribute-neg-in_binary64_1062`
34×	`associate-/l/_binary64_1048`
30×	`associate-/r*_binary64_1045`
29×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
28×	`pow-sqr_binary64_1074`
17×	`unpow3_binary64_1167`
16×	`swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate--l+_binary64_1038`
15×	`cube-mult_binary64_1131` `cancel-sign-sub-inv_binary64_1067`
13×	`associate--r+_binary64_1037`
12×	`exp-prod_binary64_1153` `distribute-rgt-neg-in_binary64_1059`
10×	`cube-prod_binary64_1129`
9×	`log-prod_binary64_1187` `unpow2_binary64_1166`
8×	`distribute-rgt-out_binary64_1054`
7×	`distribute-lft-neg-in_binary64_1058`
6×	`pow-plus_binary64_1164` `exp-sum_binary64_1147`
5×	`cube-unmult_binary64_1138` `*-rgt-identity_binary64_1091` `difference-of-squares_binary64_1070` `distribute-neg-frac_binary64_1065` `distribute-lft-neg-out_binary64_1060`
4×	`/-rgt-identity_binary64_1092`
2×	`log-div_binary64_1188` `unsub-neg_binary64_1095` `distribute-lft-out_binary64_1052`
1×	`div-exp_binary64_1152` `rec-exp_binary64_1151` `1-exp_binary64_1145` `-inverses_binary64_1081` `distribute-rgt-out--_binary64_1055` `associate-l/_binary64_1044` `associate-+r-_binary64_1035`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `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` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-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_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `+-inverses_binary64_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-rgt-neg-out_binary64_1061` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+l+_binary64_1034`

Counts

208 → 307

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	747	13169
1	2231	12821

prune1.2s (0.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	292	15	307
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	293	15	308

Error

5.3b

Counts

308 → 15

Compiler

Compiled 22356 to 8650 computations (61.3% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.7b	(/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))))
26.8b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))

rewrite279.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

35×	`add-sqr-sqrt_binary64_1123`
25×	`*-un-lft-identity_binary64_1101`
24×	`add-cube-cbrt_binary64_1136`
21×	`add-exp-log_binary64_1139` `associate-r_binary64_1041`
20×	`times-frac_binary64_1107`
15×	`add-cbrt-cube_binary64_1137`
11×	`pow1_binary64_1162`
9×	`associate-l_binary64_1042`
6×	`prod-exp_binary64_1150` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-*l/_binary64_1044`
5×	`unswap-sqr_binary64_1069`
4×	`div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `associate-/r/_binary64_1047`
3×	`pow-prod-down_binary64_1172` `-commutative_binary64_1032` `associate-/l_binary64_1046` `associate-/r*_binary64_1045`
2×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-times_binary64_1111` `div-inv_binary64_1098`
1×	`un-div-inv_binary64_1099` `associate-*r/_binary64_1043` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 115

Calls

4 calls:

26.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
5.0ms	(/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))))

Compiler

Compiled 5993 to 1810 computations (69.8% saved)

series8.8s (3.3%)

Error

5.2b

Counts

4 → 123

Calls

4 calls:

7.0s	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))
716.0ms	(/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a))))))))
361.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
197.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 27842 to 19217 computations (31% saved)

simplify1.9s (0.7%)

Algorithm

1×	egg-herbie

Rules

923×	`times-frac_binary64_1107`
222×	`+-commutative_binary64_1031`
213×	`*-commutative_binary64_1032`
203×	`distribute-rgt-in_binary64_1051`
196×	`distribute-lft-in_binary64_1050`
164×	`associate-+r+_binary64_1033`
115×	`associate-/l*_binary64_1046`
92×	`sub-neg_binary64_1094`
79×	`associate-*r/_binary64_1043`
70×	`unswap-sqr_binary64_1069`
63×	`sqr-pow_binary64_1073`
48×	`distribute-neg-in_binary64_1062`
44×	`associate-r_binary64_1041`
37×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
33×	`associate-/r*_binary64_1045`
28×	`pow-sqr_binary64_1074`
19×	`associate--l+_binary64_1038`
18×	`swap-sqr_binary64_1068` `associate-l_binary64_1042`
17×	`unpow3_binary64_1167` `cancel-sign-sub-inv_binary64_1067`
16×	`cube-mult_binary64_1131` `distribute-neg-frac_binary64_1065` `associate--r+_binary64_1037`
15×	`*-rgt-identity_binary64_1091` `distribute-rgt-neg-in_binary64_1059`
12×	`exp-prod_binary64_1153`
10×	`log-prod_binary64_1187`
9×	`unpow2_binary64_1166` `cube-prod_binary64_1129` `distribute-lft-neg-in_binary64_1058`
7×	`cube-unmult_binary64_1138` `distribute-rgt-out_binary64_1054`
6×	`pow-plus_binary64_1164` `exp-sum_binary64_1147`
5×	`/-rgt-identity_binary64_1092` `difference-of-squares_binary64_1070` `distribute-lft-neg-out_binary64_1060`
4×	`log-div_binary64_1188`
3×	`associate-+r-_binary64_1035`
2×	`log-rec_binary64_1189` `unsub-neg_binary64_1095` `distribute-lft-out_binary64_1052`
1×	`div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `1-exp_binary64_1145` `rem-log-exp_binary64_1142` `rem-sqrt-square_binary64_1114` `div-sub_binary64_1106` `-lft-identity_binary64_1090` `-inverses_binary64_1081` `distribute-rgt-out--_binary64_1055` `associate-*l/_binary64_1044`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `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-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `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_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-rgt-neg-out_binary64_1061` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+l+_binary64_1034`

Counts

238 → 304

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	14807
1	2396	14257

prune1.2s (0.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	302	17	319

Error

4.9b

Counts

319 → 17

Compiler

Compiled 23216 to 9528 computations (59% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))
0.1b	(.f64 y (+.f64 z (.f64 y x)))
0.4b	(/.f64 1 (/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x))))))))))
27.3b	(/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))))))

rewrite407.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

90×	`times-frac_binary64_1107`
64×	`add-sqr-sqrt_binary64_1123`
60×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
21×	`add-exp-log_binary64_1139`
18×	`associate-/r*_binary64_1045`
15×	`add-cbrt-cube_binary64_1137`
11×	`associate-/r/_binary64_1047`
9×	`pow1_binary64_1162`
8×	`div-exp_binary64_1152` `flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l_binary64_1042` `associate-r*_binary64_1041`
4×	`add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `associate-*r/_binary64_1043`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `1-exp_binary64_1145` `rec-exp_binary64_1151` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `*-commutative_binary64_1032`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x))))))))))
7.0ms	(/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))))))
6.0ms	(.f64 y (+.f64 z (.f64 y x)))
6.0ms	(.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))

Compiler

Compiled 9643 to 3129 computations (67.6% saved)

series17.9s (6.8%)

Error

3.6b

Counts

4 → 150

Calls

4 calls:

9.4s	(/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))))))
7.0s	(/.f64 1 (/.f64 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))) (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x))))))))))
335.0ms	(.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (*.f64 y x)))))
216.0ms	(.f64 y (+.f64 z (.f64 y x)))

Compiler

Compiled 51603 to 36280 computations (29.7% saved)

simplify6.4s (2.4%)

Algorithm

1×	egg-herbie

Rules

501×	`+-commutative_binary64_1031`
431×	`associate-+r+_binary64_1033`
312×	`*-commutative_binary64_1032`
226×	`associate-/l*_binary64_1046`
137×	`associate-*r/_binary64_1043`
135×	`sub-neg_binary64_1094`
133×	`associate-/r*_binary64_1045`
86×	`sqr-pow_binary64_1073`
61×	`associate-/r/_binary64_1047`
59×	`times-frac_binary64_1107`
56×	`associate-r_binary64_1041`
47×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
41×	`pow-sqr_binary64_1074`
31×	`associate--l+_binary64_1038`
26×	`associate--r+_binary64_1037`
22×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
16×	`unpow3_binary64_1167` `associate-l_binary64_1042`
15×	`cube-mult_binary64_1131`
14×	`unpow2_binary64_1166`
10×	`pow-plus_binary64_1164` `/-rgt-identity_binary64_1092` `*-rgt-identity_binary64_1091`
8×	`cancel-sign-sub-inv_binary64_1067`
7×	`log-prod_binary64_1187` `exp-prod_binary64_1153` `cube-unmult_binary64_1138`
6×	`log-div_binary64_1188` `cube-prod_binary64_1129`
5×	`swap-sqr_binary64_1068`
4×	`distribute-lft-out_binary64_1052`
3×	`log-rec_binary64_1189` `exp-sum_binary64_1147` `remove-double-div_binary64_1077` `difference-of-squares_binary64_1070` `associate-/l/_binary64_1048`
2×	`unsub-neg_binary64_1095` `distribute-neg-in_binary64_1062` `distribute-rgt-out--_binary64_1055` `associate-*l/_binary64_1044` `associate--r-_binary64_1040` `associate-+r-_binary64_1035`
1×	`div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `1-exp_binary64_1145` `rem-log-exp_binary64_1142` `rem-sqrt-square_binary64_1114` `div-sub_binary64_1106` `-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `-inverses_binary64_1081` `distribute-neg-frac_binary64_1065`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `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-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `remove-double-neg_binary64_1089` `--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_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `unswap-sqr_binary64_1069` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-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_1054` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+l+_binary64_1034`

Counts

309 → 358

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1491	31545
1	4677	30863

prune2.0s (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	354	4	358
Fresh	6	10	16
Picked	0	1	1
Done	0	0	0
Total	360	15	375

Error

3.3b

Counts

375 → 15

Compiler

Compiled 33449 to 14578 computations (56.4% saved)

localize33.0ms (0%)

Local error

Found 4 expressions with local error:

16.1b	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
16.1b	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
16.1b	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
23.9b	(.f64 (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (.f64 y x)))))))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))))) (cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))))

rewrite385.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

3.3b

Rules

45×	`cbrt-prod_binary64_1132`
27×	`add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107`
26×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
15×	`cbrt-div_binary64_1133`
9×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `frac-times_binary64_1111`
7×	`add-cbrt-cube_binary64_1137` `flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`associate-*r/_binary64_1043` `associate-/r/_binary64_1047`
5×	`associate-*l/_binary64_1044`
4×	`add-log-exp_binary64_1140`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042` `pow1/3_binary64_1183` `div-inv_binary64_1098`
1×	`unswap-sqr_binary64_1069` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

4 → 102

Calls

4 calls:

17.0ms	(.f64 (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (.f64 y x)))))))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))))) (cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))))
4.0ms	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
4.0ms	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
4.0ms	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))

Compiler

Compiled 9901 to 2700 computations (72.7% saved)

series3.1min (71.6%)

Error

3.3b

Counts

4 → 118

Calls

4 calls:

3.1min	(.f64 (+.f64 t (.f64 y (+.f64 7925469156333415/34359738368 (.f64 y (+.f64 471841060772561/17179869184 (.f64 y (+.f64 z (.f64 y x)))))))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a))))))))) (cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (.f64 y (+.f64 y a)))))))))))
1.1s	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
1.1s	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))
1.1s	(cbrt.f64 (/.f64 1 (+.f64 i (.f64 y (+.f64 c (.f64 y (+.f64 b (*.f64 y (+.f64 y a)))))))))

Compiler

Compiled 59410 to 41656 computations (29.9% saved)

simplify2.9s (1.1%)

Algorithm

1×	egg-herbie

Rules

357×	`*-commutative_binary64_1032`
222×	`associate-/l*_binary64_1046`
198×	`distribute-rgt-in_binary64_1051`
194×	`distribute-lft-in_binary64_1050`
172×	`+-commutative_binary64_1031`
163×	`associate-r_binary64_1041`
138×	`associate-/r*_binary64_1045`
123×	`associate-+r+_binary64_1033`
116×	`sqr-pow_binary64_1073`
115×	`associate-*l/_binary64_1044`
80×	`cancel-sign-sub-inv_binary64_1067`
73×	`sub-neg_binary64_1094`
71×	`distribute-rgt-out_binary64_1054`
54×	`associate-/r/_binary64_1047`
50×	`pow-sqr_binary64_1074`
49×	`associate-*r/_binary64_1043`
48×	`associate-/l/_binary64_1048`
45×	`unswap-sqr_binary64_1069`
37×	`times-frac_binary64_1107`
36×	`distribute-neg-in_binary64_1062` `associate-l_binary64_1042`
35×	`neg-mul-1_binary64_1097`
34×	`distribute-rgt-neg-in_binary64_1059`
29×	`exp-prod_binary64_1153`
28×	`exp-sum_binary64_1147`
27×	`neg-sub0_binary64_1096`
26×	`distribute-lft-out_binary64_1052`
23×	`unpow1/3_binary64_1168` `distribute-lft-neg-in_binary64_1058`
22×	`distribute-lft-neg-out_binary64_1060`
16×	`log-div_binary64_1188`
12×	`unsub-neg_binary64_1095`
11×	`distribute-rgt-neg-out_binary64_1061` `associate--r+_binary64_1037`
10×	`log-prod_binary64_1187` `associate--l+_binary64_1038`
9×	`log-rec_binary64_1189` `unpow3_binary64_1167` `unpow2_binary64_1166` `cube-mult_binary64_1131`
7×	`swap-sqr_binary64_1068`
6×	`distribute-neg-out_binary64_1063`
5×	`distribute-rgt-out--_binary64_1055`
4×	`log-pow_binary64_1190` `pow-plus_binary64_1164` `cube-unmult_binary64_1138` `cube-prod_binary64_1129`
3×	`/-rgt-identity_binary64_1092` `difference-of-squares_binary64_1070`
2×	`associate-+r-_binary64_1035`
1×	`div-exp_binary64_1152` `rec-exp_binary64_1151` `1-exp_binary64_1145` `rem-log-exp_binary64_1142` `rem-3cbrt-lft_binary64_1126` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `*-inverses_binary64_1081` `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` `pow-base-0_binary64_1185` `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` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-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-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `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_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` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+l+_binary64_1034`

Counts

220 → 280

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	828	16665
1	2562	15755

prune1.9s (0.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	279	16	295

Error

3.3b

Counts

295 → 16

Compiler

Compiled 28667 to 12258 computations (57.2% saved)

regimes9.6s (3.7%)

Accuracy

Total 6.5b remaining (70.1%)

Threshold costs 0b (0%)

Compiler

Compiled 87026 to 58348 computations (33% saved)

bsearch106.0ms (0%)

Steps

Iters	Range		Point
9	3.199662533553442e+58	3.759847030238539e+67	6.42069951733776e+59
8	-1.539657876756286e+61	-1.36660191382972e+57	-1.5366475830180087e+60

Compiler

Compiled 1 to 8 computations (-700% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64_1031`
13×	`*-commutative_binary64_1032`
7×	`sub-neg_binary64_1094`
5×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
2×	`cancel-sign-sub-inv_binary64_1067` `distribute-neg-frac_binary64_1065` `distribute-rgt-neg-in_binary64_1059`
1×	`distribute-lft-neg-out_binary64_1060` `distribute-lft-neg-in_binary64_1058`
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` `unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	93
1	68	93
2	84	93
3	94	93
4	101	93
5	103	93

Proof

(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (=> (* f64 (/ f64 h3 h0) h1)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 h1 h0) h2) h0) 471841060772561/17179869184) h0) 7925469156333415/34359738368) h0) h4) (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 h0 h3) h0) h5) h0) h6) h0) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (=> (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 h1 h0) h2) h0) 471841060772561/17179869184) h0) 7925469156333415/34359738368) h0)) h4) (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 h0 h3) h0) h5) h0) h6) h0) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (=> (* f64 (+ f64 (* f64 (+ f64 (* f64 h1 h0) h2) h0) 471841060772561/17179869184) h0)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 h0 h3) h0) h5) h0) h6) h0) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (=> (* f64 (+ f64 (* f64 h1 h0) h2) h0)) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 h0 h3) h0) h5) h0) h6) h0) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h1 h0) h2)) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (=> (* f64 (+ f64 (* f64 (+ f64 (* f64 (+ f64 h0 h3) h0) h5) h0) h6) h0)) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h1 h0) h2)) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 h0 (+ f64 (=> (* f64 (+ f64 (* f64 (+ f64 h0 h3) h0) h5) h0)) h6)) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h1 h0) h2)) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (=> (* f64 (+ f64 h0 h3) h0)) h5)) h6)) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (=> (+ f64 (* f64 h1 h0) h2))) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 h0 h3)) h5)) h6)) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
+-commutative_binary64_1031 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 h2 (=> (* f64 h1 h0)))) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 h0 h3)) h5)) h6)) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))
*-commutative_binary64_1032 =>
(if real (<= f64 h0 -1536647583018008740957316721930820134785948664020466327879680) (+ f64 h1 (- f64 (/ f64 h2 h0) (* f64 h1 (/ f64 h3 h0)))) (if real (<= f64 h0 642069951733776016577218231576609408202754235587858867945472) (/ f64 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 h2 (* f64 h0 h1))) 471841060772561/17179869184)) 7925469156333415/34359738368)) h4) (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 (* f64 h0 (+ f64 h0 h3)) h5)) h6)) h7)) (+ f64 h1 (- f64 (/ f64 h2 h0) (/ f64 h3 (/ f64 h0 h1))))))

end0.0ms (0%)

sample6.8s (2.6%)

Algorithm

1×

intervals

Results

682.0ms	8000×	body	128	valid
21.0ms	267×	body	128	invalid

Compiler

Compiled 9712 to 6513 computations (32.9% saved)

Details

analyze1.9s (0.7%)

sample45.0ms (0%)

simplify284.0ms (0.1%)

prune4.0ms (0%)

localize28.0ms (0%)

rewrite272.0ms (0.1%)

series8.4s (3.2%)

simplify1.8s (0.7%)

prune1.2s (0.5%)

localize24.0ms (0%)

rewrite279.0ms (0.1%)

series8.8s (3.3%)

simplify1.9s (0.7%)

prune1.2s (0.5%)

localize27.0ms (0%)

rewrite407.0ms (0.2%)

series17.9s (6.8%)

simplify6.4s (2.4%)

prune2.0s (0.8%)

localize33.0ms (0%)

rewrite385.0ms (0.1%)

series3.1min (71.6%)

simplify2.9s (1.1%)

prune1.9s (0.7%)

regimes9.6s (3.7%)

bsearch106.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample6.8s (2.6%)

Profiling