Details

analyze220.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

464×	`times-frac_binary64_425`
407×	`neg-mul-1_binary64_415`
388×	`neg-sub0_binary64_414` `associate-/r/_binary64_365`
311×	`associate-/l/_binary64_366`
286×	`unswap-sqr_binary64_387`
260×	`associate-l_binary64_360`
251×	`associate-r_binary64_359`
234×	`distribute-frac-neg_binary64_382`
207×	`*-commutative_binary64_350`
200×	`cancel-sign-sub-inv_binary64_385`
183×	`div-sub_binary64_424`
176×	`sub-neg_binary64_412`
155×	`associate-*l/_binary64_362`
151×	`associate-/r*_binary64_363`
146×	`distribute-rgt-neg-out_binary64_379`
142×	`distribute-rgt-in_binary64_369`
141×	`unsub-neg_binary64_413`
126×	`associate-/l*_binary64_364`
124×	`distribute-neg-frac_binary64_383`
95×	`distribute-rgt-neg-in_binary64_377`
85×	`distribute-lft-in_binary64_368`
77×	`distribute-lft-neg-out_binary64_378`
66×	`distribute-lft-neg-in_binary64_376`
64×	`associate-*r/_binary64_361`
46×	`/-rgt-identity_binary64_410`
45×	`sqr-pow_binary64_391`
43×	`*-rgt-identity_binary64_409` `div0_binary64_400`
36×	`*-lft-identity_binary64_408`
32×	`exp-prod_binary64_471` `mul0-lft_binary64_401`
31×	`mul0-rgt_binary64_402` `swap-sqr_binary64_386` `distribute-neg-in_binary64_380`
29×	`remove-double-neg_binary64_407` `+-lft-identity_binary64_403`
28×	`exp-neg_binary64_466`
25×	`exp-diff_binary64_467` `exp-sum_binary64_465` `cube-prod_binary64_447`
22×	`cancel-sign-sub_binary64_384`
21×	`sqr-neg_binary64_433`
20×	`pow-sqr_binary64_392`
19×	`pow-plus_binary64_482`
18×	`associate-+l-_binary64_354`
17×	`+-commutative_binary64_349`
16×	`distribute-neg-out_binary64_381`
15×	`sub0-neg_binary64_406` `associate--r+_binary64_355`
12×	`mul-1-neg_binary64_411`
10×	`associate-+l+_binary64_352`
9×	`cube-unmult_binary64_456`
8×	`exp-sqrt_binary64_472` `associate--r-_binary64_358`
7×	`associate--l-_binary64_357` `associate-+r-_binary64_353`
6×	`associate-+r+_binary64_351`
5×	`unpow3_binary64_485` `exp-lft-sqr_binary64_474`
4×	`prod-exp_binary64_468` `--rgt-identity_binary64_405` `remove-double-div_binary64_395` `associate--l+_binary64_356`
3×	`unpow2_binary64_484` `cube-neg_binary64_446` `rem-sqrt-square_binary64_432` `distribute-rgt-out--_binary64_373`
2×	`unpow1_binary64_477` `div-exp_binary64_470` `cube-mult_binary64_449` `+-rgt-identity_binary64_404`
1×	`unpow1/2_binary64_483` `1-exp_binary64_463` `exp-1-e_binary64_462` `cube-div_binary64_448` `rem-square-sqrt_binary64_431` `*-inverses_binary64_399` `rgt-mult-inverse_binary64_396` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out_binary64_372` `count-2_binary64_367`
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` `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` `rec-exp_binary64_469` `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-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370`

Iterations

Useful iterations: 0 (0.0ms)

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

Search

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample58.0ms (1%)

Algorithm

1×

intervals

Results

29.0ms	117×	body	1024	valid
13.0ms	70×	body	512	valid
2.0ms	31×	body	256	valid
2.0ms	8×	body	2048	valid
1.0ms	30×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64_425`
407×	`neg-mul-1_binary64_415`
388×	`neg-sub0_binary64_414` `associate-/r/_binary64_365`
311×	`associate-/l/_binary64_366`
286×	`unswap-sqr_binary64_387`
260×	`associate-l_binary64_360`
251×	`associate-r_binary64_359`
234×	`distribute-frac-neg_binary64_382`
207×	`*-commutative_binary64_350`
200×	`cancel-sign-sub-inv_binary64_385`
183×	`div-sub_binary64_424`
176×	`sub-neg_binary64_412`
155×	`associate-*l/_binary64_362`
151×	`associate-/r*_binary64_363`
146×	`distribute-rgt-neg-out_binary64_379`
142×	`distribute-rgt-in_binary64_369`
141×	`unsub-neg_binary64_413`
126×	`associate-/l*_binary64_364`
124×	`distribute-neg-frac_binary64_383`
95×	`distribute-rgt-neg-in_binary64_377`
85×	`distribute-lft-in_binary64_368`
77×	`distribute-lft-neg-out_binary64_378`
66×	`distribute-lft-neg-in_binary64_376`
64×	`associate-*r/_binary64_361`
46×	`/-rgt-identity_binary64_410`
45×	`sqr-pow_binary64_391`
43×	`*-rgt-identity_binary64_409` `div0_binary64_400`
36×	`*-lft-identity_binary64_408`
32×	`exp-prod_binary64_471` `mul0-lft_binary64_401`
31×	`mul0-rgt_binary64_402` `swap-sqr_binary64_386` `distribute-neg-in_binary64_380`
29×	`remove-double-neg_binary64_407` `+-lft-identity_binary64_403`
28×	`exp-neg_binary64_466`
25×	`exp-diff_binary64_467` `exp-sum_binary64_465` `cube-prod_binary64_447`
22×	`cancel-sign-sub_binary64_384`
21×	`sqr-neg_binary64_433`
20×	`pow-sqr_binary64_392`
19×	`pow-plus_binary64_482`
18×	`associate-+l-_binary64_354`
17×	`+-commutative_binary64_349`
16×	`distribute-neg-out_binary64_381`
15×	`sub0-neg_binary64_406` `associate--r+_binary64_355`
12×	`mul-1-neg_binary64_411`
10×	`associate-+l+_binary64_352`
9×	`cube-unmult_binary64_456`
8×	`exp-sqrt_binary64_472` `associate--r-_binary64_358`
7×	`associate--l-_binary64_357` `associate-+r-_binary64_353`
6×	`associate-+r+_binary64_351`
5×	`unpow3_binary64_485` `exp-lft-sqr_binary64_474`
4×	`prod-exp_binary64_468` `--rgt-identity_binary64_405` `remove-double-div_binary64_395` `associate--l+_binary64_356`
3×	`unpow2_binary64_484` `cube-neg_binary64_446` `rem-sqrt-square_binary64_432` `distribute-rgt-out--_binary64_373`
2×	`unpow1_binary64_477` `div-exp_binary64_470` `cube-mult_binary64_449` `+-rgt-identity_binary64_404`
1×	`unpow1/2_binary64_483` `1-exp_binary64_463` `exp-1-e_binary64_462` `cube-div_binary64_448` `rem-square-sqrt_binary64_431` `*-inverses_binary64_399` `rgt-mult-inverse_binary64_396` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out_binary64_372` `count-2_binary64_367`
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` `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` `rec-exp_binary64_469` `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-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

57.9b

Counts

1 → 1

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.3b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite111.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_419`
31×	`add-sqr-sqrt_binary64_441`
30×	`times-frac_binary64_425`
17×	`add-cube-cbrt_binary64_454`
8×	`cosh-undef_binary64_613` `distribute-lft-out_binary64_370`
7×	`sinh-undef_binary64_612` `add-log-exp_binary64_458` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
6×	`associate-/l*_binary64_364`
5×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
3×	`pow1_binary64_480` `cancel-sign-sub-inv_binary64_385`
2×	`flip3--_binary64_423` `flip--_binary64_394` `associate-/l/_binary64_366` `flip3-+_binary64_422` `associate-/r/_binary64_365` `flip-+_binary64_393`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `tanh-undef_binary64_614` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

3 → 89

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series213.0ms (3.7%)

Error

1.1b

Counts

3 → 18

Calls

3 calls:

120.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
42.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
28.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify145.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

373×	`cancel-sign-sub-inv_binary64_385`
283×	`exp-prod_binary64_471`
265×	`unswap-sqr_binary64_387`
221×	`div-sub_binary64_424`
217×	`associate-l_binary64_360`
208×	`associate-r_binary64_359`
138×	`sub-neg_binary64_412`
127×	`distribute-rgt-in_binary64_369`
123×	`log-prod_binary64_505`
118×	`*-commutative_binary64_350`
105×	`distribute-lft-in_binary64_368`
100×	`distribute-neg-frac_binary64_383`
93×	`associate-*l/_binary64_362`
92×	`+-commutative_binary64_349`
91×	`associate-/l*_binary64_364`
85×	`associate-+l+_binary64_352`
82×	`associate-/l/_binary64_366`
65×	`associate-+r+_binary64_351`
64×	`sqr-pow_binary64_391` `associate-*r/_binary64_361`
63×	`cube-prod_binary64_447` `neg-sub0_binary64_414` `associate-/r*_binary64_363`
59×	`neg-mul-1_binary64_415`
55×	`unsub-neg_binary64_413`
50×	`difference-of-squares_binary64_388`
49×	`unpow3_binary64_485`
41×	`associate-/r/_binary64_365`
40×	`swap-sqr_binary64_386`
36×	`distribute-rgt-neg-in_binary64_377`
35×	`times-frac_binary64_425`
34×	`associate-+r-_binary64_353`
32×	`distribute-frac-neg_binary64_382`
31×	`distribute-lft-neg-in_binary64_376`
29×	`prod-exp_binary64_468` `*-rgt-identity_binary64_409`
28×	`exp-sum_binary64_465`
26×	`associate-+l-_binary64_354`
19×	`log-div_binary64_506` `*-lft-identity_binary64_408`
18×	`exp-diff_binary64_467`
17×	`distribute-neg-in_binary64_380` `associate--l+_binary64_356`
16×	`pow-plus_binary64_482` `associate--r+_binary64_355`
15×	`cube-unmult_binary64_456` `cube-div_binary64_448`
14×	`+-rgt-identity_binary64_404`
13×	`sub0-neg_binary64_406`
11×	`div-exp_binary64_470` `mul0-lft_binary64_401` `distribute-lft-neg-out_binary64_378`
10×	`log-pow_binary64_508` `pow-sqr_binary64_392`
9×	`rem-sqrt-square_binary64_432` `mul0-rgt_binary64_402`
7×	`/-rgt-identity_binary64_410`
6×	`difference-of-sqr--1_binary64_390` `distribute-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375` `distribute-rgt-out_binary64_372`
5×	`remove-double-neg_binary64_407` `associate--r-_binary64_358` `associate--l-_binary64_357`
4×	`rec-exp_binary64_469` `difference-of-sqr-1_binary64_389` `distribute-rgt-out--_binary64_373` `distribute-lft-out_binary64_370`
3×	`cube-mult_binary64_449` `mul-1-neg_binary64_411` `distribute-neg-out_binary64_381`
2×	`log-rec_binary64_507` `unpow1_binary64_477` `exp-neg_binary64_466` `distribute-lft1-in_binary64_374` `count-2_binary64_367`
1×	`cosh-def_binary64_605` `sinh-def_binary64_604` `unpow2_binary64_484` `unpow1/2_binary64_483` `1-exp_binary64_463` `cube-neg_binary64_446` `rem-3cbrt-lft_binary64_444` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397`
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` `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-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `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` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `div0_binary64_400` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `cancel-sign-sub_binary64_384` `distribute-lft-out--_binary64_371`

Counts

107 → 51

Iterations

Useful iterations: 2 (0.0ms)

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

prune61.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.2b

Counts

52 → 4

Compiler

Compiled 958 to 302 computations (68.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 2 (/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(sinh.f64 x)
1.3b	(/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite132.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

40×	`*-un-lft-identity_binary64_419`
31×	`times-frac_binary64_425`
29×	`add-sqr-sqrt_binary64_441`
24×	`add-cube-cbrt_binary64_454`
21×	`associate-r_binary64_359`
11×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`cosh-undef_binary64_613` `distribute-lft-out_binary64_370`
6×	`pow1_binary64_480` `add-log-exp_binary64_458`
5×	`associate-/r*_binary64_363`
4×	`associate-/r/_binary64_365`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `associate-/l_binary64_364` `associate-l*_binary64_360`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `sinh-def_binary64_604` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l/_binary64_366` `sum-log_binary64_510` `+-commutative_binary64_349` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350`

Counts

4 → 99

Calls

4 calls:

14.0ms	(*.f64 2 (/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
8.0ms	(/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	(sinh.f64 x)

Compiler

Compiled 1984 to 521 computations (73.7% saved)

series444.0ms (7.8%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

165.0ms	(*.f64 2 (/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
154.0ms	(/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
67.0ms	(sinh.f64 x)
33.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 818 to 586 computations (28.4% saved)

simplify131.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1016×	`div-sub_binary64_424`
387×	`cancel-sign-sub-inv_binary64_385`
227×	`associate-*l/_binary64_362`
224×	`associate-*r/_binary64_361`
217×	`associate-l_binary64_360`
209×	`associate-/l*_binary64_364`
200×	`associate-r_binary64_359`
184×	`sub-neg_binary64_412`
183×	`associate-/l/_binary64_366`
181×	`*-commutative_binary64_350`
102×	`associate-/r/_binary64_365`
97×	`associate-/r*_binary64_363`
96×	`exp-prod_binary64_471`
88×	`times-frac_binary64_425`
86×	`+-commutative_binary64_349`
85×	`unswap-sqr_binary64_387`
72×	`associate-+l+_binary64_352`
68×	`distribute-rgt-in_binary64_369`
67×	`cube-prod_binary64_447`
62×	`sqr-pow_binary64_391`
61×	`exp-sum_binary64_465`
59×	`associate-+r+_binary64_351`
55×	`log-prod_binary64_505`
52×	`distribute-lft-in_binary64_368`
47×	`log-div_binary64_506`
44×	`exp-diff_binary64_467` `neg-sub0_binary64_414`
42×	`cube-div_binary64_448`
41×	`neg-mul-1_binary64_415`
40×	`associate-+r-_binary64_353`
38×	`associate-+l-_binary64_354`
33×	`distribute-rgt-neg-in_binary64_377`
31×	`distribute-lft-neg-in_binary64_376`
30×	`unpow3_binary64_485`
25×	`associate--l+_binary64_356`
22×	`unsub-neg_binary64_413`
21×	`prod-exp_binary64_468` `cube-unmult_binary64_456` `*-rgt-identity_binary64_409` `distribute-neg-in_binary64_380`
20×	`swap-sqr_binary64_386` `associate--r+_binary64_355`
19×	`cube-mult_binary64_449` `+-rgt-identity_binary64_404`
18×	`distribute-lft-neg-out_binary64_378`
17×	`sub0-neg_binary64_406`
15×	`*-lft-identity_binary64_408` `distribute-neg-frac_binary64_383`
12×	`pow-plus_binary64_482`
11×	`distribute-rgt-neg-out_binary64_379`
10×	`pow-sqr_binary64_392`
9×	`log-pow_binary64_508` `/-rgt-identity_binary64_410`
8×	`exp-sqrt_binary64_472` `associate--l-_binary64_357`
7×	`distribute-rgt1-in_binary64_375`
6×	`difference-of-squares_binary64_388`
5×	`div-exp_binary64_470` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `distribute-rgt-out_binary64_372`
3×	`log-rec_binary64_507` `exp-lft-sqr_binary64_474` `rem-log-exp_binary64_460` `cube-neg_binary64_446` `difference-of-sqr--1_binary64_390` `distribute-neg-out_binary64_381` `distribute-rgt-out--_binary64_373` `associate--r-_binary64_358`
2×	`unpow1/2_binary64_483` `unpow1_binary64_477` `rec-exp_binary64_469` `exp-neg_binary64_466` `remove-double-neg_binary64_407` `mul0-lft_binary64_401` `+-inverses_binary64_398` `difference-of-sqr-1_binary64_389` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370` `count-2_binary64_367`
1×	`cosh-def_binary64_605` `sinh-def_binary64_604` `unpow2_binary64_484` `1-exp_binary64_463` `exp-1-e_binary64_462` `lft-mult-inverse_binary64_397` `distribute-lft-out--_binary64_371`
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` `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` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-exp-log_binary64_459` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `div0_binary64_400` `*-inverses_binary64_399` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382`

Counts

123 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2461
1	428	2126
2	1111	2108
3	3120	1905
4	4476	1905
5	6529	1905

prune71.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Error

0.2b

Counts

80 → 4

Compiler

Compiled 1202 to 508 computations (57.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 x)
0.0b	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
0.2b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
1.3b	(/.f64 (sinh.f64 x) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))

rewrite251.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

80×	`cbrt-prod_binary64_450`
70×	`*-un-lft-identity_binary64_419`
57×	`times-frac_binary64_425`
46×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
30×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
19×	`associate-/r*_binary64_363`
12×	`cosh-undef_binary64_613` `distribute-lft-out_binary64_370`
7×	`add-exp-log_binary64_457`
6×	`add-cbrt-cube_binary64_455` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `cube-div_binary64_448`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `cbrt-div_binary64_451`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `associate-/l*_binary64_364` `pow-unpow_binary64_496`
2×	`sinh-def_binary64_604` `associate-/r/_binary64_365`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l/_binary64_366` `pow1/3_binary64_501` `rem-cbrt-cube_binary64_443` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `rem-cube-cbrt_binary64_442`

Counts

4 → 158

Calls

4 calls:

16.0ms	(/.f64 (sinh.f64 x) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
7.0ms	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
1.0ms	(sinh.f64 x)

Compiler

Compiled 4028 to 1684 computations (58.2% saved)

series355.0ms (6.2%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

136.0ms	(/.f64 (sinh.f64 x) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
92.0ms	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
71.0ms	(sinh.f64 x)
30.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))

Compiler

Compiled 911 to 693 computations (23.9% saved)

simplify168.0ms (3%)

Algorithm

1×	egg-herbie

Rules

307×	`associate-/r*_binary64_363`
297×	`associate-/l*_binary64_364`
284×	`times-frac_binary64_425`
282×	`unswap-sqr_binary64_387`
242×	`distribute-rgt-in_binary64_369`
226×	`distribute-lft-in_binary64_368`
195×	`exp-prod_binary64_471` `associate-/l/_binary64_366`
164×	`log-prod_binary64_505`
88×	`cancel-sign-sub-inv_binary64_385`
75×	`sqr-pow_binary64_391` `associate-/r/_binary64_365`
58×	`associate-l_binary64_360`
57×	`associate-r_binary64_359`
56×	`unpow3_binary64_485`
48×	`div-sub_binary64_424`
46×	`+-commutative_binary64_349`
40×	`log-div_binary64_506`
38×	`sub-neg_binary64_412`
34×	`cube-prod_binary64_447`
30×	`swap-sqr_binary64_386` `distribute-rgt-neg-in_binary64_377`
28×	`distribute-lft-neg-in_binary64_376` `associate-+r+_binary64_351`
27×	`*-commutative_binary64_350`
24×	`associate-+l+_binary64_352`
22×	`log-pow_binary64_508`
21×	`associate-l/_binary64_362` `associate-r/_binary64_361`
20×	`neg-sub0_binary64_414`
19×	`pow-plus_binary64_482` `neg-mul-1_binary64_415`
16×	`*-rgt-identity_binary64_409`
15×	`distribute-rgt-out_binary64_372`
14×	`cube-div_binary64_448`
13×	`exp-sum_binary64_465` `cube-mult_binary64_449` `pow-sqr_binary64_392`
12×	`distribute-lft-out_binary64_370`
10×	`distribute-neg-frac_binary64_383` `distribute-neg-in_binary64_380`
9×	`cube-unmult_binary64_456` `rem-cbrt-cube_binary64_443` `rem-sqrt-square_binary64_432` `distribute-lft-neg-out_binary64_378`
8×	`prod-exp_binary64_468`
7×	`unsub-neg_binary64_413` `associate--l+_binary64_356`
6×	`distribute-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375` `associate--r+_binary64_355`
5×	`exp-diff_binary64_467` `*-lft-identity_binary64_408` `count-2_binary64_367`
4×	`exp-sqrt_binary64_472` `/-rgt-identity_binary64_410` `associate-+r-_binary64_353`
3×	`distribute-neg-out_binary64_381` `distribute-rgt-out--_binary64_373`
2×	`unpow1/2_binary64_483` `unpow1_binary64_477` `rec-exp_binary64_469` `exp-neg_binary64_466` `+-rgt-identity_binary64_404` `difference-of-squares_binary64_388` `distribute-lft1-in_binary64_374` `associate-+l-_binary64_354`
1×	`cosh-def_binary64_605` `sinh-def_binary64_604` `unpow2_binary64_484` `1-exp_binary64_463` `rem-3cbrt-lft_binary64_444` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `sub0-neg_binary64_406` `mul0-lft_binary64_401` `lft-mult-inverse_binary64_397` `difference-of-sqr--1_binary64_390` `distribute-lft-out--_binary64_371`
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` `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-rec_binary64_507` `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-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `div-exp_binary64_470` `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-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

182 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	4299
1	428	3883
2	1358	3865
3	4691	3865
4	5098	3865

prune152.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Error

0.2b

Counts

149 → 4

Compiler

Compiled 2953 to 1090 computations (63.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite140.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

23×	`add-sqr-sqrt_binary64_441`
15×	`associate-r_binary64_359`
14×	`add-exp-log_binary64_457`
11×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
10×	`associate-l_binary64_360`
8×	`add-cbrt-cube_binary64_455` `unpow-prod-down_binary64_498`
7×	`unswap-sqr_binary64_387`
6×	`prod-exp_binary64_468`
4×	`pow1_binary64_480` `cube-prod_binary64_447` `sqr-pow_binary64_391`
2×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `diff-log_binary64_511` `sum-log_binary64_510` `sub-neg_binary64_412` `associate-+l+_binary64_352` `cancel-sign-sub-inv_binary64_385`
1×	`unpow3_binary64_485` `cube-mult_binary64_449` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-+l-_binary64_354` `+-commutative_binary64_349` `flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 83

Calls

4 calls:

8.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
6.0ms	(*.f64 (pow.f64 x 5) 2/15)
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series284.0ms (5%)

Error

0.2b

Counts

4 → 17

Calls

4 calls:

93.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
64.0ms	(*.f64 (pow.f64 x 5) 2/15)
61.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
51.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 506 to 420 computations (17% saved)

simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

554×	`unswap-sqr_binary64_387`
488×	`cancel-sign-sub-inv_binary64_385`
303×	`log-prod_binary64_505`
295×	`*-commutative_binary64_350`
164×	`distribute-rgt-in_binary64_369`
159×	`exp-prod_binary64_471`
154×	`distribute-lft-in_binary64_368`
146×	`distribute-rgt-neg-in_binary64_377`
131×	`distribute-lft-neg-in_binary64_376`
121×	`sqr-pow_binary64_391`
117×	`associate-l_binary64_360`
109×	`associate-r_binary64_359`
101×	`unsub-neg_binary64_413`
98×	`cube-prod_binary64_447` `sub-neg_binary64_412`
95×	`neg-mul-1_binary64_415`
94×	`neg-sub0_binary64_414`
85×	`swap-sqr_binary64_386`
48×	`associate-+l+_binary64_352`
43×	`distribute-neg-in_binary64_380`
42×	`associate-+r+_binary64_351`
36×	`+-commutative_binary64_349`
34×	`exp-sum_binary64_465`
27×	`log-pow_binary64_508` `distribute-rgt-out_binary64_372`
26×	`difference-of-squares_binary64_388`
22×	`unpow3_binary64_485`
19×	`pow-sqr_binary64_392`
18×	`exp-diff_binary64_467` `distribute-lft-neg-out_binary64_378`
17×	`associate--r+_binary64_355`
15×	`times-frac_binary64_425` `associate-+l-_binary64_354`
14×	`pow-plus_binary64_482` `cube-mult_binary64_449` `distribute-rgt-out--_binary64_373`
13×	`associate--l+_binary64_356` `associate-+r-_binary64_353`
10×	`rem-sqrt-square_binary64_432` `distribute-neg-out_binary64_381`
9×	`cube-unmult_binary64_456` `sub0-neg_binary64_406`
8×	`+-rgt-identity_binary64_404` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `associate-/l*_binary64_364`
7×	`distribute-rgt-neg-out_binary64_379`
6×	`*-rgt-identity_binary64_409` `remove-double-neg_binary64_407` `distribute-lft-out_binary64_370`
5×	`*-lft-identity_binary64_408` `distribute-rgt1-in_binary64_375`
4×	`associate--r-_binary64_358`
3×	`div-exp_binary64_470` `--rgt-identity_binary64_405` `associate-/r*_binary64_363`
2×	`unpow1/3_binary64_486` `prod-exp_binary64_468` `distribute-lft-out--_binary64_371` `count-2_binary64_367`
1×	`unpow1/2_binary64_483` `1-exp_binary64_463` `exp-1-e_binary64_462` `cube-neg_binary64_446` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `distribute-lft1-in_binary64_374` `associate-l/_binary64_362` `associate-r/_binary64_361` `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` `log-rec_binary64_507` `log-div_binary64_506` `pow-base-0_binary64_503` `unpow2_binary64_484` `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` `rec-exp_binary64_469` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-div_binary64_448` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `sqr-abs_binary64_434` `div-sub_binary64_424` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `+-lft-identity_binary64_403` `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-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `associate-/l/_binary64_366` `associate-/r/_binary64_365`

Counts

100 → 61

Iterations

Useful iterations: 2 (0.0ms)

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

prune76.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Error

0.2b

Counts

65 → 5

Compiler

Compiled 1128 to 865 computations (23.3% saved)

regimes116.0ms (2%)

Accuracy

Total 0.0b remaining (91.9%)

Threshold costs 0.0b (91.9%)

Compiler

Compiled 932 to 750 computations (19.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_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 1-exp_binary64_463 exp-1-e_binary64_462 exp-0_binary64_461 sqr-abs_binary64_434 sqr-neg_binary64_433 neg-mul-1_binary64_415 neg-sub0_binary64_414 unsub-neg_binary64_413 sub-neg_binary64_412 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 *-rgt-identity_binary64_409 *-lft-identity_binary64_408 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-neg-frac_binary64_383 distribute-frac-neg_binary64_382 distribute-neg-out_binary64_381 distribute-neg-in_binary64_380 distribute-rgt-neg-out_binary64_379 distribute-lft-neg-out_binary64_378 distribute-rgt-neg-in_binary64_377 distribute-lft-neg-in_binary64_376 *-commutative_binary64_350 +-commutative_binary64_349

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.4s (41.4%)

Algorithm

1×

intervals

Results

1.0s	3902×	body	1024	valid
259.0ms	1873×	body	512	valid
123.0ms	407×	body	2048	valid
95.0ms	1023×	body	256	valid
34.0ms	795×	body	128	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 468 to 378 computations (19.2% saved)

Details

analyze220.0ms (3.9%)

sample58.0ms (1%)

simplify71.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite111.0ms (2%)

series213.0ms (3.7%)

simplify145.0ms (2.5%)

prune61.0ms (1.1%)

localize9.0ms (0.2%)

rewrite132.0ms (2.3%)

series444.0ms (7.8%)

simplify131.0ms (2.3%)

prune71.0ms (1.2%)

localize11.0ms (0.2%)

rewrite251.0ms (4.4%)

series355.0ms (6.2%)

simplify168.0ms (3%)

prune152.0ms (2.7%)

localize9.0ms (0.2%)

rewrite140.0ms (2.5%)

series284.0ms (5%)

simplify102.0ms (1.8%)

prune76.0ms (1.3%)

regimes116.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (41.4%)

Profiling