Details

analyze717.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64_424`
690×	`sub-neg_binary64_412`
581×	`neg-mul-1_binary64_415`
491×	`neg-sub0_binary64_414`
476×	`associate-/r*_binary64_363`
402×	`distribute-neg-frac_binary64_383`
321×	`distribute-rgt-neg-in_binary64_377`
280×	`distribute-rgt-neg-out_binary64_379`
252×	`distribute-lft-neg-out_binary64_378`
251×	`distribute-lft-neg-in_binary64_376`
232×	`+-commutative_binary64_349`
226×	`associate-/r/_binary64_365`
220×	`associate-/l*_binary64_364`
217×	`associate-*l/_binary64_362`
201×	`associate-+l-_binary64_354`
198×	`remove-double-neg_binary64_407`
195×	`distribute-rgt-in_binary64_369`
184×	`cancel-sign-sub-inv_binary64_385`
144×	`times-frac_binary64_425`
141×	`unsub-neg_binary64_413`
131×	`associate-/l/_binary64_366`
119×	`associate-*r/_binary64_361`
117×	`associate--r+_binary64_355`
106×	`distribute-lft-in_binary64_368`
93×	`distribute-frac-neg_binary64_382`
88×	`sub0-neg_binary64_406`
76×	`cancel-sign-sub_binary64_384`
72×	`*-lft-identity_binary64_408`
71×	`associate--l-_binary64_357`
68×	`distribute-neg-in_binary64_380`
63×	`*-commutative_binary64_350`
61×	`+-lft-identity_binary64_403`
57×	`associate--r-_binary64_358`
54×	`/-rgt-identity_binary64_410`
53×	`+-rgt-identity_binary64_404`
45×	`associate-r_binary64_359`
41×	`associate-+r-_binary64_353`
40×	`associate-+l+_binary64_352`
36×	`div0_binary64_400`
26×	`associate-l_binary64_360`
24×	`--rgt-identity_binary64_405`
18×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401` `associate--l+_binary64_356`
17×	`associate-+r+_binary64_351`
6×	`*-rgt-identity_binary64_409`
3×	`sqr-neg_binary64_433` `swap-sqr_binary64_386`
1×	`1-exp_binary64_463`
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` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `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` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `count-2_binary64_367`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	95	96
2	171	96
3	323	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	174×	body	128	valid
8.0ms	34×	body	2048	valid
5.0ms	17×	body	4096	valid
2.0ms	11×	body	1024	valid
2.0ms	14×	body	512	valid
1.0ms	28×	body	128	nan
1.0ms	6×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify340.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64_364`
1150×	`div-sub_binary64_424`
772×	`distribute-rgt-in_binary64_369`
702×	`distribute-lft-in_binary64_368`
619×	`times-frac_binary64_425`
576×	`associate-/r*_binary64_363`
479×	`associate-/r/_binary64_365`
467×	`cancel-sign-sub-inv_binary64_385`
429×	`*-commutative_binary64_350`
426×	`sub-neg_binary64_412`
423×	`unsub-neg_binary64_413`
407×	`associate-/l/_binary64_366`
225×	`distribute-rgt-neg-in_binary64_377`
208×	`distribute-rgt-out--_binary64_373`
201×	`neg-mul-1_binary64_415`
197×	`distribute-lft-neg-in_binary64_376`
192×	`distribute-neg-frac_binary64_383`
188×	`associate-*l/_binary64_362`
163×	`neg-sub0_binary64_414`
156×	`distribute-rgt-out_binary64_372`
136×	`distribute-rgt-neg-out_binary64_379`
121×	`associate--r+_binary64_355`
112×	`+-commutative_binary64_349`
99×	`distribute-lft-neg-out_binary64_378`
80×	`distribute-lft-out_binary64_370`
77×	`associate--r-_binary64_358`
73×	`distribute-frac-neg_binary64_382`
72×	`distribute-lft-out--_binary64_371`
68×	`*-lft-identity_binary64_408` `distribute-neg-out_binary64_381`
66×	`associate-*r/_binary64_361`
62×	`mul0-rgt_binary64_402`
60×	`associate-r_binary64_359`
59×	`associate--l-_binary64_357`
55×	`div0_binary64_400`
54×	`mul0-lft_binary64_401`
51×	`associate-l_binary64_360`
33×	`remove-double-neg_binary64_407`
32×	`associate-+r-_binary64_353`
30×	`+-lft-identity_binary64_403`
28×	`/-rgt-identity_binary64_410` `associate--l+_binary64_356`
27×	`remove-double-div_binary64_395`
22×	`distribute-neg-in_binary64_380`
19×	`sub0-neg_binary64_406` `--rgt-identity_binary64_405`
17×	`*-rgt-identity_binary64_409`
14×	`mul-1-neg_binary64_411` `associate-+l+_binary64_352`
13×	`associate-+l-_binary64_354`
7×	`associate-+r+_binary64_351`
5×	`+-rgt-identity_binary64_404`
3×	`swap-sqr_binary64_386`
1×	`1-exp_binary64_463` `sqr-neg_binary64_433`
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` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `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` `cancel-sign-sub_binary64_384` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `count-2_binary64_367`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

34.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite154.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

34.1b

Rules

21×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
6×	`sqrt-prod_binary64_435` `difference-of-squares_binary64_388` `times-frac_binary64_425` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out--_binary64_371`
2×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/r*_binary64_363`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.0s (8.5%)

Error

7.9b

Counts

4 → 68

Calls

4 calls:

319.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
232.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
229.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
193.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3015 to 2294 computations (23.9% saved)

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64_425`
413×	`associate-/l*_binary64_364`
328×	`div-sub_binary64_424`
314×	`associate-/r*_binary64_363`
181×	`distribute-rgt-in_binary64_369`
177×	`distribute-lft-in_binary64_368`
170×	`cancel-sign-sub-inv_binary64_385`
156×	`associate-*l/_binary64_362`
147×	`distribute-rgt-neg-in_binary64_377`
132×	`distribute-lft-neg-in_binary64_376`
128×	`exp-prod_binary64_471`
101×	`sub-neg_binary64_412`
93×	`associate-l_binary64_360`
91×	`associate-r_binary64_359`
86×	`associate-/l/_binary64_366`
85×	`*-commutative_binary64_350`
78×	`associate-/r/_binary64_365`
55×	`neg-sub0_binary64_414`
53×	`neg-mul-1_binary64_415`
46×	`+-commutative_binary64_349`
45×	`cube-prod_binary64_447` `unswap-sqr_binary64_387`
41×	`sqr-pow_binary64_391`
38×	`distribute-neg-frac_binary64_383`
35×	`distribute-rgt-out_binary64_372`
27×	`distribute-lft-neg-out_binary64_378`
25×	`exp-sum_binary64_465`
23×	`associate-*r/_binary64_361`
18×	`distribute-lft-out_binary64_370`
16×	`unpow3_binary64_485` `exp-diff_binary64_467`
14×	`swap-sqr_binary64_386`
13×	`distribute-neg-in_binary64_380`
12×	`distribute-rgt-neg-out_binary64_379` `associate--l+_binary64_356`
11×	`associate-+r-_binary64_353`
10×	`cube-unmult_binary64_456` `cube-mult_binary64_449` `+-rgt-identity_binary64_404`
9×	`pow-plus_binary64_482` `unsub-neg_binary64_413`
8×	`difference-of-squares_binary64_388` `associate--r+_binary64_355`
7×	`log-div_binary64_506` `associate-+l+_binary64_352`
6×	`rem-sqrt-square_binary64_432`
5×	`unpow2_binary64_484` `cube-div_binary64_448` `mul-1-neg_binary64_411` `distribute-lft-out--_binary64_371` `associate-+r+_binary64_351`
4×	`log-prod_binary64_505` `exp-sqrt_binary64_472` `pow-sqr_binary64_392`
3×	`unpow1/2_binary64_483` `unpow1_binary64_477` `exp-lft-sqr_binary64_474` `distribute-rgt-out--_binary64_373` `associate-+l-_binary64_354`
2×	`log-pow_binary64_508` `div-exp_binary64_470` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431`
1×	`prod-exp_binary64_468` `1-exp_binary64_463` `cube-neg_binary64_446` `rem-3cbrt-lft_binary64_444` `remove-double-neg_binary64_407` `div0_binary64_400` `*-inverses_binary64_399` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381` `count-2_binary64_367` `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` `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-cbrt_binary64_473` `rec-exp_binary64_469` `exp-neg_binary64_466` `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_410` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `+-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` `distribute-frac-neg_binary64_382` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374`

Counts

142 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3003
1	508	2750
2	1525	2744
3	4750	2744
4	5595	2744

prune143.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	8	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Error

7.8b

Counts

118 → 9

Compiler

Compiled 2586 to 1377 computations (46.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite167.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

28×	`add-sqr-sqrt_binary64_441`
18×	`*-un-lft-identity_binary64_419`
14×	`add-cube-cbrt_binary64_454`
13×	`associate-r_binary64_359`
10×	`times-frac_binary64_425`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458`
7×	`pow1_binary64_480`
6×	`associate-l_binary64_360`
5×	`flip3--_binary64_423` `flip--_binary64_394` `sqrt-prod_binary64_435`
4×	`difference-of-squares_binary64_388` `cancel-sign-sub-inv_binary64_385`
2×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `unswap-sqr_binary64_387` `associate-*l/_binary64_362`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-r/_binary64_361` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

4 → 83

Calls

4 calls:

16.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series1.0s (8.3%)

Error

7.8b

Counts

4 → 68

Calls

4 calls:

300.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
229.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
218.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
196.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3015 to 2294 computations (23.9% saved)

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

437×	`times-frac_binary64_425`
380×	`associate-/l*_binary64_364`
291×	`distribute-rgt-in_binary64_369`
285×	`distribute-lft-in_binary64_368`
158×	`cancel-sign-sub-inv_binary64_385`
136×	`distribute-rgt-neg-in_binary64_377`
125×	`associate-l_binary64_360`
124×	`distribute-lft-neg-in_binary64_376`
119×	`associate-r_binary64_359`
118×	`exp-prod_binary64_471`
108×	`*-commutative_binary64_350`
93×	`sub-neg_binary64_412`
82×	`associate-/r/_binary64_365`
60×	`associate-/l/_binary64_366`
58×	`associate-*r/_binary64_361`
48×	`+-commutative_binary64_349`
47×	`sqr-pow_binary64_391`
46×	`neg-sub0_binary64_414`
44×	`neg-mul-1_binary64_415`
43×	`unswap-sqr_binary64_387`
41×	`distribute-lft-neg-out_binary64_378`
38×	`div-sub_binary64_424` `associate-*l/_binary64_362`
35×	`distribute-neg-frac_binary64_383`
34×	`exp-sum_binary64_465`
31×	`distribute-rgt-out_binary64_372`
28×	`distribute-rgt-neg-out_binary64_379`
25×	`log-prod_binary64_505` `associate-/r*_binary64_363`
22×	`cube-prod_binary64_447`
19×	`*-rgt-identity_binary64_409`
18×	`*-lft-identity_binary64_408`
17×	`unpow3_binary64_485`
16×	`swap-sqr_binary64_386`
14×	`distribute-lft-out_binary64_370`
13×	`log-div_binary64_506` `exp-diff_binary64_467`
12×	`associate--l+_binary64_356` `associate-+r-_binary64_353`
10×	`+-rgt-identity_binary64_404`
9×	`pow-plus_binary64_482`
8×	`unsub-neg_binary64_413` `difference-of-squares_binary64_388` `distribute-neg-in_binary64_380` `associate-+l+_binary64_352`
7×	`cube-mult_binary64_449`
6×	`cube-unmult_binary64_456`
5×	`unpow2_binary64_484` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `pow-sqr_binary64_392` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `associate-+r+_binary64_351`
4×	`unpow1/2_binary64_483` `cube-div_binary64_448` `rem-sqrt-square_binary64_432` `associate-+l-_binary64_354`
3×	`unpow1_binary64_477` `exp-neg_binary64_466` `distribute-rgt-out--_binary64_373`
2×	`log-pow_binary64_508` `log-rec_binary64_507` `div-exp_binary64_470` `rem-square-sqrt_binary64_431`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `div0_binary64_400` `*-inverses_binary64_399` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381` `count-2_binary64_367` `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-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `rec-exp_binary64_469` `prod-exp_binary64_468` `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-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `+-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` `distribute-frac-neg_binary64_382` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `associate--r-_binary64_358`

Counts

151 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	3245
1	541	2996
2	1754	2990
3	4843	2990
4	4972	2990

prune151.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	123	11	134

Error

7.8b

Counts

134 → 11

Compiler

Compiled 2796 to 1502 computations (46.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite182.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

27×	`add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419` `cbrt-prod_binary64_450`
14×	`add-cube-cbrt_binary64_454`
12×	`pow1_binary64_480`
8×	`add-log-exp_binary64_458`
6×	`add-exp-log_binary64_457` `pow1/3_binary64_501` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`add-cbrt-cube_binary64_455` `sqrt-prod_binary64_435` `unswap-sqr_binary64_387` `cancel-sign-sub-inv_binary64_385`
3×	`flip3--_binary64_423` `flip--_binary64_394`
2×	`sqrt-div_binary64_436` `pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392` `diff-log_binary64_511` `sub-neg_binary64_412` `difference-of-squares_binary64_388`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `distribute-lft-out--_binary64_371`

Counts

4 → 84

Calls

4 calls:

11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2647 to 1743 computations (34.2% saved)

series779.0ms (6.4%)

Error

7.8b

Counts

4 → 52

Calls

4 calls:

258.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
244.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
205.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

Compiler

Compiled 3248 to 2692 computations (17.1% saved)

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

454×	`cancel-sign-sub-inv_binary64_385`
400×	`distribute-rgt-neg-in_binary64_377`
386×	`distribute-lft-neg-in_binary64_376`
235×	`times-frac_binary64_425`
211×	`*-commutative_binary64_350`
178×	`distribute-neg-frac_binary64_383`
170×	`unswap-sqr_binary64_387`
166×	`div-sub_binary64_424`
162×	`exp-prod_binary64_471`
133×	`associate-/l*_binary64_364`
130×	`sub-neg_binary64_412`
115×	`sqr-pow_binary64_391`
98×	`neg-mul-1_binary64_415`
96×	`neg-sub0_binary64_414`
95×	`associate-/r*_binary64_363`
85×	`associate-r_binary64_359`
79×	`associate-l_binary64_360`
73×	`distribute-lft-in_binary64_368`
70×	`distribute-rgt-in_binary64_369`
62×	`unsub-neg_binary64_413`
59×	`cube-prod_binary64_447` `+-commutative_binary64_349`
54×	`swap-sqr_binary64_386`
44×	`exp-sum_binary64_465` `associate-*l/_binary64_362`
42×	`log-prod_binary64_505`
41×	`distribute-lft-neg-out_binary64_378`
36×	`associate-+l+_binary64_352`
33×	`distribute-rgt-neg-out_binary64_379` `associate-*r/_binary64_361`
31×	`distribute-rgt-out_binary64_372`
30×	`associate-+l-_binary64_354`
29×	`associate-+r+_binary64_351`
28×	`associate-+r-_binary64_353`
25×	`exp-diff_binary64_467` `associate-/r/_binary64_365`
23×	`difference-of-squares_binary64_388`
21×	`+-rgt-identity_binary64_404`
20×	`unpow3_binary64_485` `pow-sqr_binary64_392`
18×	`pow-plus_binary64_482` `cube-unmult_binary64_456` `sub0-neg_binary64_406`
17×	`rem-sqrt-square_binary64_432`
15×	`associate--l+_binary64_356`
14×	`distribute-neg-in_binary64_380`
13×	`cube-mult_binary64_449` `sqr-neg_binary64_433` `mul0-rgt_binary64_402` `mul0-lft_binary64_401`
9×	`unpow2_binary64_484`
8×	`log-pow_binary64_508` `distribute-lft-out_binary64_370`
7×	`-rgt-identity_binary64_409` `-lft-identity_binary64_408` `associate--r+_binary64_355`
5×	`unpow1/2_binary64_483` `associate-/l/_binary64_366`
4×	`unpow1_binary64_477` `cube-neg_binary64_446`
3×	`rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-out--_binary64_373` `count-2_binary64_367`
2×	`div-exp_binary64_470` `rem-3cbrt-rft_binary64_445` `remove-double-neg_binary64_407` `distribute-lft-out--_binary64_371` `associate--l-_binary64_357`
1×	`prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `--rgt-identity_binary64_405` `+-inverses_binary64_398` `cancel-sign-sub_binary64_384` `associate--r-_binary64_358`
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` `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` `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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `+-lft-identity_binary64_403` `div0_binary64_400` `*-inverses_binary64_399` `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` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374`

Counts

136 → 86

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2094
1	342	1999
2	962	1992
3	2656	1978
4	4646	1902
5	4961	1902

prune140.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	86	11	97

Error

7.8b

Counts

97 → 11

Compiler

Compiled 2332 to 1567 computations (32.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite129.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

12×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419`
8×	`add-log-exp_binary64_458`
7×	`add-cube-cbrt_binary64_454`
5×	`pow1_binary64_480`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-prod_binary64_435` `cancel-sign-sub-inv_binary64_385`
3×	`flip3--_binary64_423` `flip--_binary64_394` `cbrt-prod_binary64_450`
2×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412` `difference-of-squares_binary64_388`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `distribute-lft-out--_binary64_371` `pow1/3_binary64_501`

Counts

4 → 55

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
1.0ms	(cbrt.f64 a)

Compiler

Compiled 2028 to 1007 computations (50.3% saved)

series901.0ms (7.4%)

Error

7.8b

Counts

4 → 55

Calls

4 calls:

259.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
238.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
221.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
111.0ms	(cbrt.f64 a)

Compiler

Compiled 4039 to 2783 computations (31.1% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

532×	`cancel-sign-sub-inv_binary64_385`
400×	`unswap-sqr_binary64_387`
397×	`times-frac_binary64_425`
221×	`*-commutative_binary64_350`
177×	`associate-/l*_binary64_364`
132×	`sub-neg_binary64_412`
124×	`exp-prod_binary64_471`
123×	`sqr-pow_binary64_391`
119×	`associate-/r*_binary64_363`
118×	`distribute-rgt-neg-in_binary64_377`
107×	`distribute-lft-neg-in_binary64_376`
106×	`neg-mul-1_binary64_415`
105×	`neg-sub0_binary64_414`
92×	`swap-sqr_binary64_386`
70×	`distribute-lft-in_binary64_368`
68×	`associate-r_binary64_359`
67×	`distribute-rgt-in_binary64_369`
62×	`unsub-neg_binary64_413`
60×	`cube-prod_binary64_447`
59×	`+-commutative_binary64_349`
58×	`associate-l_binary64_360`
48×	`associate-*l/_binary64_362`
37×	`associate-*r/_binary64_361`
33×	`associate-+l+_binary64_352`
31×	`distribute-rgt-out_binary64_372`
30×	`associate-+l-_binary64_354`
28×	`associate-+r-_binary64_353`
27×	`associate-/r/_binary64_365`
26×	`exp-sum_binary64_465` `associate-+r+_binary64_351`
24×	`log-prod_binary64_505`
23×	`difference-of-squares_binary64_388`
22×	`distribute-neg-frac_binary64_383`
21×	`+-rgt-identity_binary64_404`
19×	`unpow3_binary64_485` `pow-sqr_binary64_392`
18×	`sub0-neg_binary64_406`
17×	`cube-mult_binary64_449`
15×	`div-sub_binary64_424` `distribute-lft-neg-out_binary64_378` `associate--l+_binary64_356`
13×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
12×	`exp-diff_binary64_467`
11×	`pow-plus_binary64_482`
10×	`cube-unmult_binary64_456`
9×	`rem-sqrt-square_binary64_432`
8×	`log-pow_binary64_508` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out_binary64_370`
7×	`associate-/l/_binary64_366` `associate--r+_binary64_355`
4×	`unpow2_binary64_484` `distribute-neg-in_binary64_380`
3×	`unpow1/2_binary64_483` `unpow1_binary64_477` `distribute-rgt-out--_binary64_373`
2×	`unpow1/3_binary64_486` `div-exp_binary64_470` `rem-3cbrt-lft_binary64_444` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate--l-_binary64_357`
1×	`1-exp_binary64_463` `mul-1-neg_binary64_411` `*-lft-identity_binary64_408` `--rgt-identity_binary64_405` `+-inverses_binary64_398` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381` `associate--r-_binary64_358`
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` `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` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-neg_binary64_466` `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-div_binary64_448` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `/-rgt-identity_binary64_410` `-rgt-identity_binary64_409` `+-lft-identity_binary64_403` `div0_binary64_400` `-inverses_binary64_399` `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` `distribute-frac-neg_binary64_382` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374`

Counts

110 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1753
1	308	1658
2	911	1655
3	3051	1655
4	5163	1655

prune91.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	64	12	76

Error

7.8b

Counts

76 → 12

Compiler

Compiled 1875 to 935 computations (50.1% saved)

regimes1.9s (15.7%)

Accuracy

Total 4.3b remaining (43.6%)

Threshold costs 0b (0%)

Compiler

Compiled 11732 to 9130 computations (22.2% saved)

bsearch71.0ms (0.6%)

Steps

Iters	Range		Point
6	1.9552026207765497e-92	2.1446087013644353e-91	1.778320156513799e-91
9	-3.6764914492777714e+155	-8.845415570980643e+145	-2.972045709025322e+148

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_350` `+-commutative_binary64_349`
10×	`sub-neg_binary64_412`
8×	`neg-sub0_binary64_414`
7×	`neg-mul-1_binary64_415`
4×	`distribute-rgt-neg-in_binary64_377`
3×	`distribute-lft-neg-in_binary64_376`
2×	`cancel-sign-sub-inv_binary64_385` `distribute-neg-frac_binary64_383`
1×	`unsub-neg_binary64_413` `mul-1-neg_binary64_411` `distribute-lft-neg-out_binary64_378`
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` `/-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_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380` `distribute-rgt-neg-out_binary64_379`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	54
1	43	52
2	66	52
3	80	52
4	90	52
5	93	52
6	93	52

end0.0ms (0%)

sample3.6s (30.1%)

Algorithm

1×

intervals

Results

282.0ms	1122×	body	2048	valid
275.0ms	5211×	body	128	valid
139.0ms	728×	body	1024	valid
113.0ms	386×	body	4096	valid
53.0ms	371×	body	512	valid
31.0ms	658×	body	128	nan
17.0ms	182×	body	256	valid
17.0ms	334×	body	128	invalid

Compiler

Compiled 2976 to 2312 computations (22.3% saved)

Details

analyze717.0ms (5.9%)

sample42.0ms (0.3%)

simplify340.0ms (2.8%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite154.0ms (1.3%)

series1.0s (8.5%)

simplify119.0ms (1%)

prune143.0ms (1.2%)

localize11.0ms (0.1%)

rewrite167.0ms (1.4%)

series1.0s (8.3%)

simplify125.0ms (1%)

prune151.0ms (1.3%)

localize15.0ms (0.1%)

rewrite182.0ms (1.5%)

series779.0ms (6.4%)

simplify120.0ms (1%)

prune140.0ms (1.2%)

localize16.0ms (0.1%)

rewrite129.0ms (1.1%)

series901.0ms (7.4%)

simplify86.0ms (0.7%)

prune91.0ms (0.8%)

regimes1.9s (15.7%)

bsearch71.0ms (0.6%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.6s (30.1%)

Profiling