Details

analyze294.0ms (4.8%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify783.0ms (12.8%)

Algorithm

1×	egg-herbie

Rules

658×	`times-frac_binary64_1107`
549×	`unsub-neg_binary64_1095`
490×	`exp-prod_binary64_1153`
351×	`swap-sqr_binary64_1068`
294×	`associate-/l*_binary64_1046`
217×	`pow-plus_binary64_1164`
194×	`distribute-lft-neg-in_binary64_1058`
183×	`associate-+l-_binary64_1036`
179×	`distribute-rgt1-in_binary64_1057`
173×	`distribute-rgt-neg-in_binary64_1059`
151×	`distribute-rgt-in_binary64_1051`
124×	`neg-mul-1_binary64_1097`
120×	`*-commutative_binary64_1032`
103×	`distribute-lft-in_binary64_1050`
102×	`neg-sub0_binary64_1096`
94×	`exp-sum_binary64_1147`
88×	`associate-+r-_binary64_1035`
86×	`sub-neg_binary64_1094`
85×	`exp-diff_binary64_1149`
81×	`associate--r+_binary64_1037`
72×	`sqr-pow_binary64_1073`
69×	`+-commutative_binary64_1031`
67×	`associate-r_binary64_1041`
59×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
56×	`sqr-neg_binary64_1115` `distribute-neg-in_binary64_1062`
53×	`associate-l_binary64_1042`
50×	`pow-sqr_binary64_1074`
49×	`associate-+l+_binary64_1034`
45×	`exp-neg_binary64_1148`
44×	`remove-double-neg_binary64_1089`
39×	`associate-+r+_binary64_1033`
34×	`associate-*l/_binary64_1044`
33×	`distribute-rgt-out_binary64_1054`
30×	`associate--r-_binary64_1040`
28×	`distribute-lft1-in_binary64_1056`
25×	`distribute-neg-out_binary64_1063`
22×	`sub0-neg_binary64_1088`
18×	`cancel-sign-sub-inv_binary64_1067`
16×	`+-rgt-identity_binary64_1086`
15×	`*-rgt-identity_binary64_1091`
13×	`div-sub_binary64_1106` `associate--l+_binary64_1038`
12×	`exp-lft-sqr_binary64_1156` `associate-/r*_binary64_1045` `associate--l-_binary64_1039`
11×	`*-lft-identity_binary64_1090`
9×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
6×	`count-2_binary64_1049`
5×	`pow-base-1_binary64_1161` `cube-prod_binary64_1129` `distribute-frac-neg_binary64_1064`
4×	`distribute-rgt-out--_binary64_1055`
3×	`cube-unmult_binary64_1138` `associate-*r/_binary64_1043`
2×	`mul-1-neg_binary64_1093`
1×	`prod-exp_binary64_1150` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `--rgt-identity_binary64_1087` `div0_binary64_1082` `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` `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` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `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` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `/-rgt-identity_binary64_1092` `+-lft-identity_binary64_1085` `*-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` `unswap-sqr_binary64_1069` `cancel-sign-sub_binary64_1066` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	69	10
4	174	10
5	323	10
6	694	10
7	1373	10
8	4914	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`cancel-sign-sub-inv_binary64_1067` `associate-r_binary64_1041`
5×	`add-cube-cbrt_binary64_1136`
4×	`frac-times_binary64_1111` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-l_binary64_1042`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `flip3-+_binary64_1104` `flip--_binary64_1076` `flip-+_binary64_1075`
2×	`sub-neg_binary64_1094` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `difference-of-squares_binary64_1070`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053` `*-commutative_binary64_1032`

Counts

1 → 38

Calls

1 calls:

15.0ms

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

Compiler

Compiled 620 to 309 computations (50.2% saved)

series183.0ms (3%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

173.0ms

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

Compiler

Compiled 391 to 229 computations (41.4% saved)

simplify333.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

680×	`distribute-rgt-in_binary64_1051`
638×	`distribute-lft-in_binary64_1050`
513×	`unsub-neg_binary64_1095`
305×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
204×	`*-commutative_binary64_1032`
121×	`cancel-sign-sub-inv_binary64_1067`
101×	`associate-+l+_binary64_1034`
98×	`sub-neg_binary64_1094`
97×	`exp-prod_binary64_1153` `associate-l_binary64_1042`
93×	`neg-sub0_binary64_1096`
87×	`neg-mul-1_binary64_1097`
84×	`exp-sum_binary64_1147` `associate-r_binary64_1041`
83×	`associate-+r+_binary64_1033`
78×	`*-rgt-identity_binary64_1091`
73×	`*-lft-identity_binary64_1090` `distribute-neg-out_binary64_1063`
65×	`sqr-pow_binary64_1073`
42×	`pow-sqr_binary64_1074`
39×	`unswap-sqr_binary64_1069` `+-commutative_binary64_1031`
37×	`exp-diff_binary64_1149`
26×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
25×	`associate-+l-_binary64_1036`
23×	`distribute-rgt-neg-in_binary64_1059`
19×	`swap-sqr_binary64_1068`
18×	`associate-+r-_binary64_1035`
16×	`cube-prod_binary64_1129` `cancel-sign-sub_binary64_1066` `distribute-neg-in_binary64_1062`
14×	`log-pow_binary64_1190` `log-prod_binary64_1187` `pow-plus_binary64_1164`
13×	`distribute-rgt-out_binary64_1054`
12×	`distribute-lft-neg-in_binary64_1058`
11×	`exp-neg_binary64_1148` `distribute-rgt-out--_binary64_1055`
9×	`sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `difference-of-squares_binary64_1070`
8×	`associate--l+_binary64_1038`
6×	`unpow3_binary64_1167` `pow-base-1_binary64_1161` `associate--r+_binary64_1037`
5×	`cube-unmult_binary64_1138` `difference-of-sqr-1_binary64_1071`
4×	`prod-exp_binary64_1150` `cube-mult_binary64_1131` `div-sub_binary64_1106`
3×	`distribute-rgt1-in_binary64_1057`
2×	`rem-sqrt-square_binary64_1114` `mul-1-neg_binary64_1093` `distribute-lft-out_binary64_1052`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `rem-3cbrt-lft_binary64_1126` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate-/l_binary64_1046` `associate-r/_binary64_1043`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-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` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `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` `times-frac_binary64_1107` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-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` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `associate-/r/_binary64_1047` `associate-/r_binary64_1045` `associate-*l/_binary64_1044` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Counts

56 → 134

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	848
1	301	734
2	978	734
3	3305	734

prune107.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 1969 to 748 computations (62% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite62.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-log-exp_binary64_1140`
12×	`*-un-lft-identity_binary64_1101`
7×	`add-sqr-sqrt_binary64_1123`
6×	`sum-log_binary64_1192` `cancel-sign-sub-inv_binary64_1067`
5×	`add-cube-cbrt_binary64_1136`
4×	`diff-log_binary64_1193` `associate-+r+_binary64_1033`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `sub-neg_binary64_1094` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`
1×	`flip3--_binary64_1105` `flip--_binary64_1076` `difference-of-squares_binary64_1070` `associate--r+_binary64_1037` `associate-+r-_binary64_1035`

Counts

3 → 49

Calls

3 calls:

11.0ms	(+.f64 x (-.f64 y (+.f64 (.f64 z x) (.f64 y z))))
6.0ms	(-.f64 y (+.f64 (.f64 z x) (.f64 y z)))
4.0ms	(+.f64 (.f64 z x) (.f64 y z))

Compiler

Compiled 1005 to 187 computations (81.4% saved)

series594.0ms (9.7%)

Error

Counts

3 → 51

Calls

3 calls:

228.0ms	(+.f64 x (-.f64 y (+.f64 (.f64 z x) (.f64 y z))))
191.0ms	(-.f64 y (+.f64 (.f64 z x) (.f64 y z)))
150.0ms	(+.f64 (.f64 z x) (.f64 y z))

Compiler

Compiled 1189 to 646 computations (45.7% saved)

simplify302.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-l_binary64_1042`
475×	`associate-r_binary64_1041`
434×	`distribute-rgt-in_binary64_1051`
401×	`distribute-lft-in_binary64_1050`
289×	`unsub-neg_binary64_1095`
199×	`sub-neg_binary64_1094`
154×	`exp-prod_binary64_1153`
123×	`exp-sum_binary64_1147`
115×	`associate-+l+_binary64_1034`
111×	`cancel-sign-sub-inv_binary64_1067`
104×	`neg-sub0_binary64_1096`
94×	`distribute-rgt-neg-in_binary64_1059`
90×	`associate-+r+_binary64_1033`
89×	`*-commutative_binary64_1032`
70×	`times-frac_binary64_1107` `neg-mul-1_binary64_1097`
66×	`distribute-lft-neg-in_binary64_1058`
64×	`+-commutative_binary64_1031`
56×	`exp-diff_binary64_1149`
55×	`distribute-rgt-out_binary64_1054`
51×	`cube-prod_binary64_1129`
48×	`distribute-lft-neg-out_binary64_1060`
44×	`associate--r+_binary64_1037`
42×	`associate-+l-_binary64_1036`
38×	`log-prod_binary64_1187`
36×	`associate-+r-_binary64_1035`
33×	`sqr-pow_binary64_1073`
30×	`distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061`
28×	`associate--l+_binary64_1038`
24×	`distribute-lft-out_binary64_1052`
19×	`distribute-rgt-out--_binary64_1055`
15×	`div-exp_binary64_1152` `prod-exp_binary64_1150` `exp-neg_binary64_1148` `pow-sqr_binary64_1074` `associate-/r*_binary64_1045`
12×	`unswap-sqr_binary64_1069`
11×	`unpow3_binary64_1167` `cube-unmult_binary64_1138` `swap-sqr_binary64_1068`
9×	`associate-/l*_binary64_1046` `associate--r-_binary64_1040`
8×	`cube-mult_binary64_1131` `associate--l-_binary64_1039`
7×	`mul-1-neg_binary64_1093`
5×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `difference-of-squares_binary64_1070` `associate-l/_binary64_1044` `associate-r/_binary64_1043`
4×	`sqr-neg_binary64_1115` `+-rgt-identity_binary64_1086`
3×	`distribute-rgt1-in_binary64_1057` `distribute-lft-out--_binary64_1053`
2×	`pow-plus_binary64_1164` `rem-sqrt-square_binary64_1114` `distribute-lft1-in_binary64_1056`
1×	`log-pow_binary64_1190` `pow-base-1_binary64_1161` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `cube-neg_binary64_1128` `rem-3cbrt-lft_binary64_1126` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `associate-/l/_binary64_1048`
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` `exp-sqrt_binary64_1154` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `div-sub_binary64_1106` `/-rgt-identity_binary64_1092` `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-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `count-2_binary64_1049` `associate-/r/_binary64_1047`

Counts

100 → 281

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	1386
1	324	1146
2	896	1074
3	4047	1074

prune202.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	281	3	284

Error

Counts

284 → 3

Compiler

Compiled 5342 to 861 computations (83.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 x y) (-.f64 1 z))
0.1b	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (-.f64 1 z)))
26.6b	(/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) (-.f64 1 z))) (-.f64 x y))

rewrite258.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`frac-times_binary64_1111`
43×	`flip3--_binary64_1105` `flip--_binary64_1076`
30×	`associate-*r/_binary64_1043`
26×	`associate-/l/_binary64_1048`
25×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
20×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
19×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
18×	`flip3-+_binary64_1104` `associate-*l/_binary64_1044` `flip-+_binary64_1075` `cancel-sign-sub-inv_binary64_1067`
14×	`add-cube-cbrt_binary64_1136`
10×	`pow1_binary64_1162`
9×	`associate-l_binary64_1042`
7×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-r_binary64_1041`
6×	`sub-neg_binary64_1094`
5×	`times-frac_binary64_1107` `difference-of-squares_binary64_1070` `associate-/r*_binary64_1045`
4×	`distribute-lft-out--_binary64_1053` `pow-prod-down_binary64_1172`
3×	`div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135`
2×	`associate-/r/_binary64_1047` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `distribute-lft-out_binary64_1052` `unswap-sqr_binary64_1069`

Counts

3 → 155

Calls

3 calls:

23.0ms	(/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) (-.f64 1 z))) (-.f64 x y))
16.0ms	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (-.f64 1 z)))
11.0ms	(*.f64 (-.f64 x y) (-.f64 1 z))

Compiler

Compiled 4628 to 1746 computations (62.3% saved)

series796.0ms (13%)

Error

Counts

3 → 54

Calls

3 calls:

379.0ms	(.f64 (+.f64 y x) (.f64 (-.f64 x y) (-.f64 1 z)))
191.0ms	(*.f64 (-.f64 x y) (-.f64 1 z))
188.0ms	(/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) (-.f64 1 z))) (-.f64 x y))

Compiler

Compiled 2001 to 1186 computations (40.7% saved)

simplify611.0ms (10%)

Algorithm

1×	egg-herbie

Rules

479×	`distribute-rgt-in_binary64_1051`
466×	`distribute-lft-in_binary64_1050` `associate-r_binary64_1041`
436×	`associate-l_binary64_1042`
194×	`*-commutative_binary64_1032`
164×	`div-sub_binary64_1106`
159×	`times-frac_binary64_1107`
113×	`associate-/l*_binary64_1046`
77×	`associate-/r*_binary64_1045`
51×	`associate-*l/_binary64_1044`
45×	`neg-sub0_binary64_1096`
41×	`+-commutative_binary64_1031`
40×	`log-prod_binary64_1187` `exp-prod_binary64_1153`
36×	`neg-mul-1_binary64_1097`
35×	`log-div_binary64_1188` `sub-neg_binary64_1094`
34×	`exp-sum_binary64_1147`
32×	`cube-prod_binary64_1129`
31×	`cancel-sign-sub-inv_binary64_1067` `distribute-rgt-neg-in_binary64_1059`
24×	`associate-*r/_binary64_1043`
23×	`associate-/l/_binary64_1048`
22×	`associate-/r/_binary64_1047`
21×	`cube-div_binary64_1130` `distribute-lft-neg-in_binary64_1058`
19×	`associate-+l+_binary64_1034`
17×	`associate--l+_binary64_1038`
16×	`associate--r+_binary64_1037`
15×	`distribute-lft-neg-out_binary64_1060`
14×	`sqr-pow_binary64_1073`
11×	`pow-plus_binary64_1164` `difference-of-squares_binary64_1070`
10×	`swap-sqr_binary64_1068`
9×	`exp-diff_binary64_1149` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061`
7×	`cube-unmult_binary64_1138` `*-rgt-identity_binary64_1091` `pow-sqr_binary64_1074` `associate-+l-_binary64_1036` `associate-+r+_binary64_1033`
6×	`*-lft-identity_binary64_1090`
5×	`log-pow_binary64_1190` `log-rec_binary64_1189` `mul-1-neg_binary64_1093`
4×	`unpow3_binary64_1167` `div-exp_binary64_1152` `prod-exp_binary64_1150` `cube-mult_binary64_1131` `distribute-rgt-out_binary64_1054`
3×	`pow-base-1_binary64_1161` `distribute-neg-frac_binary64_1065` `associate-+r-_binary64_1035`
2×	`unpow2_binary64_1166` `unpow1_binary64_1159` `rec-exp_binary64_1151` `rem-sqrt-square_binary64_1114` `/-rgt-identity_binary64_1092` `*-inverses_binary64_1081` `distribute-rgt1-in_binary64_1057` `distribute-rgt-out--_binary64_1055`
1×	`exp-sqrt_binary64_1154` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `rem-3cbrt-lft_binary64_1126` `rem-square-sqrt_binary64_1113` `associate--r-_binary64_1040`
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` `unpow1/3_binary64_1168` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `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` `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_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` `unswap-sqr_binary64_1069` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `count-2_binary64_1049` `associate--l-_binary64_1039`

Counts

209 → 515

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	276	4849
1	831	4219
2	4348	4219

prune601.0ms (9.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	515	0	515
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	515	3	518

Error

Counts

518 → 3

Compiler

Compiled 14038 to 4245 computations (69.8% saved)

regimes180.0ms (2.9%)

Accuracy

Total 0.0b remaining (91.1%)

Threshold costs 0.0b (91.1%)

Compiler

Compiled 1166 to 1046 computations (10.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_1031`
2×	`sub-neg_binary64_1094` `*-commutative_binary64_1032`
1×	`1-exp_binary64_1145` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
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` `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-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	20	10
4	21	10

Proof

(* f64 (+ f64 h0 h1) (- f64 1 h2))

end0.0ms (0%)

sample717.0ms (11.7%)

Algorithm

1×

intervals

Results

189.0ms	7996×	body	128	valid
12.0ms	580×	body	128	invalid
0.0ms	4×	body	1024	valid

Compiler

Compiled 204 to 184 computations (9.8% saved)

Details

analyze294.0ms (4.8%)

sample16.0ms (0.3%)

simplify783.0ms (12.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite50.0ms (0.8%)

series183.0ms (3%)

simplify333.0ms (5.4%)

prune107.0ms (1.8%)

localize7.0ms (0.1%)

rewrite62.0ms (1%)

series594.0ms (9.7%)

simplify302.0ms (4.9%)

prune202.0ms (3.3%)

localize8.0ms (0.1%)

rewrite258.0ms (4.2%)

series796.0ms (13%)

simplify611.0ms (10%)

prune601.0ms (9.8%)

regimes180.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample717.0ms (11.7%)

Profiling