Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample30.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	90×	body	1024	valid
4.0ms	41×	body	512	valid
2.0ms	100×	body	128	valid
2.0ms	9×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify113.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64_369`
27×	`cancel-sign-sub-inv_binary64_385`
26×	`distribute-lft-in_binary64_368`
25×	`sub-neg_binary64_412`
17×	`div-sub_binary64_424`
16×	`distribute-lft-neg-out_binary64_378`
15×	`unsub-neg_binary64_413` `distribute-rgt-neg-in_binary64_377`
14×	`associate-/l*_binary64_364`
13×	`neg-mul-1_binary64_415` `distribute-rgt-neg-out_binary64_379` `associate-/r*_binary64_363`
12×	`associate--r+_binary64_355`
10×	`distribute-neg-frac_binary64_383`
9×	`neg-sub0_binary64_414`
8×	`distribute-neg-in_binary64_380` `distribute-lft-neg-in_binary64_376`
7×	`associate-l_binary64_360` `*-commutative_binary64_350`
6×	`-lft-identity_binary64_408` `associate-l/_binary64_362` `associate-r_binary64_359` `associate--r-_binary64_358` `+-commutative_binary64_349`
5×	`sub0-neg_binary64_406` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-*r/_binary64_361` `associate-+l-_binary64_354`
3×	`*-rgt-identity_binary64_409` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `associate--l+_binary64_356` `associate-+l+_binary64_352`
2×	`/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `div0_binary64_400` `distribute-rgt1-in_binary64_375` `associate--l-_binary64_357`
1×	`1-exp_binary64_463` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `associate-+r-_binary64_353` `associate-+r+_binary64_351`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `log-div_binary64_506` `log-prod_binary64_505` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow3_binary64_485` `unpow2_binary64_484` `unpow1/2_binary64_483` `pow-plus_binary64_482` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow1_binary64_477` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `exp-prod_binary64_471` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-unmult_binary64_456` `cube-mult_binary64_449` `cube-div_binary64_448` `cube-prod_binary64_447` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `mul-1-neg_binary64_411` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `pow-sqr_binary64_392` `sqr-pow_binary64_391` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `swap-sqr_binary64_386` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372` `count-2_binary64_367`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

prune1.0ms (0.1%)

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

39.4b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
2.9b	(-.f64 (exp.f64 x) 1)

rewrite74.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

39.0b

Rules

35×	`add-sqr-sqrt_binary64_441`
30×	`*-un-lft-identity_binary64_419`
21×	`times-frac_binary64_425`
15×	`add-cube-cbrt_binary64_454`
10×	`difference-of-squares_binary64_388`
7×	`associate-/l*_binary64_364`
5×	`difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371`
4×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`cancel-sign-sub-inv_binary64_385` `associate-/r*_binary64_363`
2×	`pow1_binary64_480` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l/_binary64_366`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series65.0ms (3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

33.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
18.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify92.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/l*_binary64_364`
359×	`associate-*l/_binary64_362`
294×	`associate-/l/_binary64_366` `associate-/r*_binary64_363`
268×	`distribute-rgt-in_binary64_369`
267×	`associate-/r/_binary64_365`
239×	`distribute-lft-in_binary64_368`
185×	`div-sub_binary64_424`
137×	`neg-mul-1_binary64_415`
120×	`cube-div_binary64_448`
116×	`exp-prod_binary64_471`
111×	`log-div_binary64_506`
86×	`times-frac_binary64_425`
82×	`associate-l_binary64_360`
81×	`distribute-rgt-out_binary64_372`
78×	`associate-r_binary64_359`
77×	`cube-prod_binary64_447`
64×	`log-prod_binary64_505`
58×	`*-commutative_binary64_350`
57×	`distribute-lft-out_binary64_370`
56×	`distribute-lft-neg-out_binary64_378`
54×	`distribute-rgt-neg-out_binary64_379`
50×	`associate-+l+_binary64_352` `+-commutative_binary64_349`
45×	`sub-neg_binary64_412`
39×	`associate-+r+_binary64_351`
38×	`exp-sum_binary64_465` `distribute-frac-neg_binary64_382`
32×	`associate-*r/_binary64_361`
28×	`sqr-pow_binary64_391` `distribute-neg-frac_binary64_383`
26×	`exp-diff_binary64_467` `cancel-sign-sub-inv_binary64_385` `distribute-rgt-neg-in_binary64_377`
23×	`unswap-sqr_binary64_387`
21×	`neg-sub0_binary64_414`
19×	`distribute-lft-neg-in_binary64_376`
18×	`unpow3_binary64_485` `distribute-neg-in_binary64_380`
15×	`unsub-neg_binary64_413`
14×	`cube-neg_binary64_446` `sqr-neg_binary64_433`
13×	`prod-exp_binary64_468` `cube-unmult_binary64_456` `/-rgt-identity_binary64_410` `*-lft-identity_binary64_408`
12×	`mul-1-neg_binary64_411` `*-rgt-identity_binary64_409` `distribute-rgt1-in_binary64_375`
11×	`log-rec_binary64_507`
10×	`cube-mult_binary64_449`
9×	`div-exp_binary64_470` `exp-neg_binary64_466`
8×	`swap-sqr_binary64_386`
7×	`pow-plus_binary64_482` `rec-exp_binary64_469`
6×	`rem-sqrt-square_binary64_432`
5×	`distribute-lft1-in_binary64_374` `associate-+r-_binary64_353`
4×	`cancel-sign-sub_binary64_384`
3×	`log-pow_binary64_508` `unpow1/2_binary64_483` `pow-sqr_binary64_392` `difference-of-sqr-1_binary64_389` `count-2_binary64_367`
2×	`remove-double-neg_binary64_407` `+-rgt-identity_binary64_404` `associate--r+_binary64_355` `associate-+l-_binary64_354`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `exp-lft-sqr_binary64_474` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `sub0-neg_binary64_406` `div0_binary64_400` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `associate--r-_binary64_358` `associate--l-_binary64_357`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `rem-square-sqrt_binary64_431` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `difference-of-squares_binary64_388` `distribute-neg-out_binary64_381` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `associate--l+_binary64_356`

Counts

76 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1147
1	249	1094
2	556	1082
3	1324	1076
4	4324	1076
5	4961	1076

prune90.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Error

0.0b

Counts

116 → 2

Compiler

Compiled 1741 to 880 computations (49.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite44.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_441`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l_binary64_360` `associate-r*_binary64_359`
2×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-r/_binary64_361`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

2 → 40

Calls

2 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

Compiler

Compiled 606 to 471 computations (22.3% saved)

series78.0ms (3.6%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

55.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
18.0ms	(*.f64 x 1/6)

Compiler

Compiled 218 to 192 computations (11.9% saved)

simplify100.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-l_binary64_360`
405×	`distribute-rgt-out_binary64_372`
359×	`+-commutative_binary64_349`
351×	`associate-r_binary64_359`
336×	`distribute-lft-out_binary64_370`
297×	`unswap-sqr_binary64_387`
241×	`distribute-rgt-in_binary64_369`
238×	`distribute-lft-in_binary64_368`
197×	`sqr-pow_binary64_391`
165×	`associate-/l*_binary64_364`
148×	`associate-+l+_binary64_352`
143×	`associate-+r+_binary64_351`
137×	`distribute-rgt-neg-in_binary64_377`
119×	`distribute-lft-neg-in_binary64_376`
108×	`log-prod_binary64_505`
94×	`exp-prod_binary64_471`
90×	`rem-sqrt-square_binary64_432`
79×	`associate-/l/_binary64_366`
76×	`*-commutative_binary64_350`
68×	`cancel-sign-sub-inv_binary64_385`
64×	`pow-sqr_binary64_392`
55×	`associate-/r/_binary64_365`
52×	`log-div_binary64_506`
36×	`cube-prod_binary64_447`
35×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `swap-sqr_binary64_386`
30×	`sub-neg_binary64_412`
25×	`*-lft-identity_binary64_408`
23×	`*-rgt-identity_binary64_409`
16×	`distribute-rgt1-in_binary64_375`
13×	`distribute-lft-neg-out_binary64_378`
11×	`distribute-rgt-neg-out_binary64_379`
10×	`difference-of-squares_binary64_388`
9×	`unpow3_binary64_485` `unpow1/2_binary64_483` `count-2_binary64_367`
8×	`pow-plus_binary64_482`
7×	`cube-unmult_binary64_456`
6×	`log-rec_binary64_507` `exp-sum_binary64_465` `associate-*r/_binary64_361`
5×	`log-pow_binary64_508` `associate-/r*_binary64_363`
4×	`sub0-neg_binary64_406` `associate-+l-_binary64_354`
3×	`cube-mult_binary64_449` `cube-div_binary64_448` `times-frac_binary64_425` `unsub-neg_binary64_413` `distribute-neg-frac_binary64_383` `distribute-rgt-out--_binary64_373`
2×	`--rgt-identity_binary64_405` `distribute-neg-in_binary64_380`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `exp-lft-sqr_binary64_474` `exp-sqrt_binary64_472` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `+-rgt-identity_binary64_404` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `associate-+r-_binary64_353`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `div-sub_binary64_424` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `associate-l/_binary64_362` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356`

Counts

49 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	500
1	174	458
2	538	458
3	1478	458
4	2539	458
5	3506	458
6	4865	458
7	4923	458

prune48.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	56	2	58

Error

0.0b

Counts

58 → 2

Compiler

Compiled 859 to 661 computations (23.1% saved)

regimes99.0ms (4.6%)

Accuracy

Total 0.5b remaining (91.8%)

Threshold costs 0.5b (91.8%)

Compiler

Compiled 587 to 456 computations (22.3% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_349`
5×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
4×	`sub-neg_binary64_412` `*-commutative_binary64_350`
3×	`unsub-neg_binary64_413` `*-rgt-identity_binary64_409`
2×	`distribute-rgt-neg-out_binary64_379`
1×	`1-exp_binary64_463` `*-lft-identity_binary64_408` `distribute-neg-frac_binary64_383` `distribute-lft-neg-out_binary64_378` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
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_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `unpow1_binary64_477` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `cancel-sign-sub-inv_binary64_385` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	28	39
2	36	39
3	40	39
4	48	39
5	47	39
6	45	39

end0.0ms (0%)

sample1.3s (60.4%)

Algorithm

1×

intervals

Results

414.0ms	2643×	body	1024	valid
133.0ms	1342×	body	512	valid
84.0ms	3056×	body	128	valid
50.0ms	279×	body	2048	valid
38.0ms	680×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 328 to 251 computations (23.5% saved)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Details

analyze4.0ms (0.2%)

sample30.0ms (1.4%)

simplify113.0ms (5.2%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite74.0ms (3.4%)

series65.0ms (3%)

simplify92.0ms (4.3%)

prune90.0ms (4.2%)

localize6.0ms (0.3%)

rewrite44.0ms (2%)

series78.0ms (3.6%)

simplify100.0ms (4.6%)

prune48.0ms (2.2%)

regimes99.0ms (4.6%)

bsearch2.0ms (0.1%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample1.3s (60.4%)

Profiling

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9