Details

analyze525.0ms (3.6%)

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%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample41.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	171×	body	128	valid
8.0ms	279×	pre	128	true
8.0ms	85×	body	256	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify335.0ms (2.3%)

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

42.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
36.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite168.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

39.9b

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×	`difference-of-squares_binary64_388` `sqrt-prod_binary64_435` `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×	`diff-log_binary64_511` `sub-neg_binary64_412` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366` `sqrt-div_binary64_436`
1×	`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` `pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.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	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.0s (7.1%)

Error

0.6b

Counts

4 → 72

Calls

4 calls:

341.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
247.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
221.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
137.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64_425`
230×	`distribute-rgt-in_binary64_369`
199×	`distribute-lft-in_binary64_368`
182×	`cancel-sign-sub-inv_binary64_385`
181×	`div-sub_binary64_424`
165×	`distribute-rgt-neg-in_binary64_377`
151×	`distribute-lft-neg-in_binary64_376`
127×	`exp-prod_binary64_471`
119×	`associate-r_binary64_359`
111×	`associate-l_binary64_360`
98×	`sub-neg_binary64_412`
92×	`*-commutative_binary64_350`
91×	`unswap-sqr_binary64_387`
80×	`associate-/l*_binary64_364`
71×	`neg-sub0_binary64_414`
69×	`neg-mul-1_binary64_415`
65×	`distribute-neg-frac_binary64_383`
63×	`distribute-neg-in_binary64_380`
58×	`associate-/r*_binary64_363`
52×	`sqr-pow_binary64_391`
45×	`+-commutative_binary64_349`
44×	`cube-prod_binary64_447`
31×	`distribute-rgt-out_binary64_372`
30×	`associate-*l/_binary64_362`
27×	`unsub-neg_binary64_413` `distribute-lft-neg-out_binary64_378` `associate-*r/_binary64_361`
25×	`exp-sum_binary64_465`
23×	`associate--r+_binary64_355`
22×	`associate-+r+_binary64_351`
20×	`associate-+l+_binary64_352`
17×	`unpow3_binary64_485`
16×	`exp-diff_binary64_467` `distribute-lft-out_binary64_370`
15×	`swap-sqr_binary64_386`
14×	`associate-/r/_binary64_365`
12×	`distribute-rgt-neg-out_binary64_379`
11×	`cube-mult_binary64_449`
10×	`cube-unmult_binary64_456`
9×	`associate-+r-_binary64_353`
8×	`pow-plus_binary64_482` `difference-of-squares_binary64_388`
7×	`+-rgt-identity_binary64_404`
6×	`rem-sqrt-square_binary64_432`
5×	`log-div_binary64_506` `unpow2_binary64_484` `mul-1-neg_binary64_411`
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` `cube-div_binary64_448` `associate--l+_binary64_356` `associate-+l-_binary64_354`
2×	`log-pow_binary64_508` `div-exp_binary64_470` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `distribute-neg-out_binary64_381` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371`
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` `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` `count-2_binary64_367` `associate-/l/_binary64_366`

Counts

146 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3603
1	550	3323
2	1858	3272
3	4753	3272
4	5207	3272

prune172.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Error

0.4b

Counts

123 → 10

Compiler

Compiled 3132 to 1692 computations (46% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite597.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

112×	`add-exp-log_binary64_457`
54×	`prod-exp_binary64_468`
42×	`add-sqr-sqrt_binary64_441`
39×	`pow-to-exp_binary64_488` `div-exp_binary64_470` `pow-exp_binary64_487`
29×	`unpow-prod-down_binary64_498`
25×	`add-cbrt-cube_binary64_455`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
19×	`times-frac_binary64_425` `associate-/r_binary64_363` `associate-r*_binary64_359`
16×	`cube-prod_binary64_447` `unswap-sqr_binary64_387`
15×	`sqr-pow_binary64_391`
13×	`associate-l_binary64_360`
8×	`cbrt-unprod_binary64_452`
5×	`cbrt-undiv_binary64_453`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `-commutative_binary64_350`

Counts

4 → 186

Calls

4 calls:

10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8847 to 5281 computations (40.3% saved)

series1.2s (8.5%)

Error

0.4b

Counts

4 → 30

Calls

4 calls:

533.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
336.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
159.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
153.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2656 computations (28% saved)

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-l_binary64_360`
323×	`associate-r_binary64_359`
302×	`times-frac_binary64_425`
301×	`associate-/l*_binary64_364`
266×	`log-div_binary64_506`
208×	`log-prod_binary64_505`
167×	`associate-/r*_binary64_363`
134×	`distribute-rgt-neg-in_binary64_377`
133×	`swap-sqr_binary64_386`
132×	`distribute-lft-neg-in_binary64_376`
128×	`cube-prod_binary64_447`
106×	`exp-prod_binary64_471`
96×	`*-commutative_binary64_350`
93×	`sqr-pow_binary64_391`
90×	`cancel-sign-sub-inv_binary64_385`
74×	`unswap-sqr_binary64_387`
72×	`associate-*l/_binary64_362`
57×	`associate-/l/_binary64_366`
55×	`log-pow_binary64_508`
49×	`*-rgt-identity_binary64_409`
47×	`cube-div_binary64_448`
39×	`associate-*r/_binary64_361`
37×	`sub-neg_binary64_412`
33×	`associate-/r/_binary64_365`
25×	`distribute-neg-frac_binary64_383` `distribute-rgt-in_binary64_369`
23×	`cube-unmult_binary64_456` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
21×	`*-lft-identity_binary64_408`
20×	`/-rgt-identity_binary64_410` `pow-sqr_binary64_392`
19×	`pow-plus_binary64_482`
18×	`rem-sqrt-square_binary64_432` `+-commutative_binary64_349`
16×	`log-rec_binary64_507` `associate--l+_binary64_356`
14×	`unpow3_binary64_485`
11×	`cube-mult_binary64_449`
7×	`distribute-neg-in_binary64_380`
6×	`distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378` `associate-+l+_binary64_352`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-lft-out_binary64_370`
3×	`rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `unsub-neg_binary64_413`
2×	`unpow1/2_binary64_483` `div-sub_binary64_424` `distribute-rgt-out_binary64_372` `count-2_binary64_367` `associate-+r+_binary64_351`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `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` `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` `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-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` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-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` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-in_binary64_368` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--r+_binary64_355` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Counts

216 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3515
1	558	3190
2	3245	3175
3	4722	3175
4	4996	3175

prune390.0ms (2.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	152	10	162

Error

0.4b

Counts

162 → 10

Compiler

Compiled 7019 to 4117 computations (41.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite731.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

56×	`times-frac_binary64_425`
51×	`add-exp-log_binary64_457`
48×	`unpow-prod-down_binary64_498`
47×	`add-sqr-sqrt_binary64_441`
46×	`pow1_binary64_480`
35×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
26×	`sqr-pow_binary64_391`
23×	`add-cbrt-cube_binary64_455`
21×	`prod-exp_binary64_468`
19×	`pow-prod-down_binary64_490`
18×	`pow-exp_binary64_487`
14×	`pow-to-exp_binary64_488`
12×	`div-exp_binary64_470`
10×	`cbrt-unprod_binary64_452`
9×	`unpow3_binary64_485` `cube-mult_binary64_449` `cube-prod_binary64_447` `unswap-sqr_binary64_387`
8×	`associate-l_binary64_360` `associate-r_binary64_359` `associate-/l*_binary64_364`
7×	`associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
3×	`pow-unpow_binary64_496`
2×	`pow-pow_binary64_491` `rem-cube-cbrt_binary64_442` `pow-plus_binary64_482` `*-commutative_binary64_350`
1×	`pow2_binary64_500` `swap-sqr_binary64_386` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

4 → 192

Calls

4 calls:

9.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 10918 to 6364 computations (41.7% saved)

series985.0ms (6.8%)

Error

0.4b

Counts

4 → 27

Calls

4 calls:

479.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
191.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
137.0ms	(pow.f64 (*.f64 a c) 3)
113.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-/r/_binary64_365`
501×	`log-prod_binary64_505`
466×	`unswap-sqr_binary64_387`
271×	`associate-/l*_binary64_364`
206×	`associate-l_binary64_360`
196×	`associate-r_binary64_359`
195×	`times-frac_binary64_425`
158×	`log-div_binary64_506`
126×	`exp-prod_binary64_471`
105×	`associate-/r*_binary64_363`
92×	`swap-sqr_binary64_386`
87×	`cube-prod_binary64_447` `sqr-pow_binary64_391`
86×	`associate-/l/_binary64_366`
74×	`distribute-rgt-neg-in_binary64_377`
73×	`distribute-lft-neg-in_binary64_376`
61×	`*-commutative_binary64_350`
40×	`cube-div_binary64_448`
39×	`cancel-sign-sub-inv_binary64_385`
33×	`log-pow_binary64_508`
32×	`associate-*l/_binary64_362`
30×	`distribute-neg-frac_binary64_383`
19×	`associate-*r/_binary64_361`
18×	`*-rgt-identity_binary64_409`
16×	`cube-unmult_binary64_456` `sub-neg_binary64_412` `pow-sqr_binary64_392`
14×	`log-rec_binary64_507` `rem-sqrt-square_binary64_432` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
12×	`*-lft-identity_binary64_408`
11×	`distribute-rgt-in_binary64_369`
9×	`distribute-lft-in_binary64_368`
8×	`/-rgt-identity_binary64_410` `+-commutative_binary64_349`
7×	`pow-plus_binary64_482` `unpow1_binary64_477` `count-2_binary64_367`
6×	`unpow2_binary64_484`
5×	`unpow3_binary64_485` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
4×	`cube-mult_binary64_449`
3×	`unpow1/2_binary64_483`
2×	`rem-square-sqrt_binary64_431`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `distribute-neg-in_binary64_380` `distribute-lft-neg-out_binary64_378` `distribute-rgt-out_binary64_372` `distribute-lft-out_binary64_370`
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` `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-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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `div-sub_binary64_424` `unsub-neg_binary64_413` `mul-1-neg_binary64_411` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-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` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Counts

219 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3357
1	429	3090
2	2286	3066
3	4774	3066
4	5427	3066

prune488.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	163	10	173

Error

0.4b

Counts

173 → 10

Compiler

Compiled 8758 to 5116 computations (41.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
0.2b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
36.8b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite347.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

70×	`times-frac_binary64_425`
58×	`*-un-lft-identity_binary64_419`
46×	`add-sqr-sqrt_binary64_441`
32×	`add-cube-cbrt_binary64_454`
26×	`associate-/l*_binary64_364`
18×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
14×	`difference-of-squares_binary64_388`
13×	`distribute-lft-out_binary64_370`
11×	`add-log-exp_binary64_458`
7×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
6×	`associate-/r/_binary64_365`
5×	`associate-/r*_binary64_363`
4×	`diff-log_binary64_511` `pow1_binary64_480` `div-inv_binary64_416`
3×	`flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `div-sub_binary64_424` `associate-/l/_binary64_366` `flip3-+_binary64_422` `flip-+_binary64_393`
2×	`associate--l+_binary64_356` `frac-2neg_binary64_430` `clear-num_binary64_418` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
1×	`associate--l-_binary64_357`

Counts

4 → 135

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
16.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
8.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 6918 to 3174 computations (54.1% saved)

series1.1s (7.8%)

Error

0.1b

Counts

4 → 63

Calls

4 calls:

387.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
314.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
223.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
134.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 3920 to 2660 computations (32.1% saved)

simplify232.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1133×	`div-sub_binary64_424`
184×	`distribute-rgt-neg-in_binary64_377`
180×	`cancel-sign-sub-inv_binary64_385`
175×	`associate-/l*_binary64_364`
159×	`sub-neg_binary64_412`
122×	`*-commutative_binary64_350`
121×	`associate-/r*_binary64_363`
111×	`associate-/l/_binary64_366`
108×	`associate-l_binary64_360` `associate-r_binary64_359`
106×	`times-frac_binary64_425`
103×	`exp-prod_binary64_471`
96×	`unswap-sqr_binary64_387`
87×	`distribute-neg-frac_binary64_383`
86×	`distribute-rgt-in_binary64_369`
82×	`associate-/r/_binary64_365`
78×	`neg-sub0_binary64_414`
75×	`neg-mul-1_binary64_415`
74×	`cube-prod_binary64_447` `associate-*l/_binary64_362`
73×	`distribute-lft-in_binary64_368`
71×	`distribute-neg-in_binary64_380`
64×	`exp-sum_binary64_465`
55×	`associate-*r/_binary64_361`
53×	`exp-diff_binary64_467` `sqr-pow_binary64_391`
49×	`+-commutative_binary64_349`
45×	`log-div_binary64_506`
42×	`log-prod_binary64_505`
35×	`cube-div_binary64_448`
29×	`unsub-neg_binary64_413`
28×	`distribute-lft-neg-out_binary64_378` `distribute-lft-neg-in_binary64_376`
25×	`unpow3_binary64_485`
24×	`associate-+r+_binary64_351`
21×	`cube-mult_binary64_449` `*-rgt-identity_binary64_409` `associate-+l+_binary64_352`
19×	`swap-sqr_binary64_386` `associate--r+_binary64_355`
16×	`difference-of-squares_binary64_388`
14×	`distribute-rgt-neg-out_binary64_379`
11×	`cube-unmult_binary64_456` `/-rgt-identity_binary64_410`
8×	`pow-plus_binary64_482`
7×	`distribute-frac-neg_binary64_382` `distribute-rgt-out_binary64_372` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+r-_binary64_353`
6×	`sqr-neg_binary64_433`
5×	`+-rgt-identity_binary64_404` `div0_binary64_400` `associate--l+_binary64_356`
4×	`log-rec_binary64_507` `unpow2_binary64_484` `cube-neg_binary64_446` `rem-sqrt-square_binary64_432` `pow-sqr_binary64_392` `distribute-neg-out_binary64_381` `associate--r-_binary64_358`
3×	`unpow1/2_binary64_483` `unpow1_binary64_477` `exp-sqrt_binary64_472` `div-exp_binary64_470` `mul-1-neg_binary64_411` `sub0-neg_binary64_406`
2×	`log-pow_binary64_508` `exp-lft-sqr_binary64_474` `prod-exp_binary64_468` `remove-double-neg_binary64_407` `cancel-sign-sub_binary64_384` `distribute-lft-out_binary64_370`
1×	`1-exp_binary64_463` `rem-square-sqrt_binary64_431` `-lft-identity_binary64_408` `-inverses_binary64_399` `+-inverses_binary64_398` `distribute-rgt-out--_binary64_373`
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` `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-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `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` `distribute-lft-out--_binary64_371` `count-2_binary64_367`

Counts

198 → 167

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	8710
1	781	7984
2	2783	6472
3	4383	6472
4	6024	6472

prune300.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	160	7	167
Fresh	7	0	7
Picked	1	0	1
Done	0	2	2
Total	168	9	177

Error

0.0b

Counts

177 → 9

Compiler

Compiled 6050 to 3007 computations (50.3% saved)

regimes1.4s (9.3%)

Accuracy

Total 0.4b remaining (99.2%)

Threshold costs 0.4b (99.2%)

Compiler

Compiled 16352 to 10782 computations (34.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_350`
2×	`+-commutative_binary64_349`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	20	33
2	20	33

end0.0ms (0%)

sample3.9s (27%)

Algorithm

1×

intervals

Results

284.0ms	2917×	body	256	valid
277.0ms	8940×	pre	128	true
260.0ms	5083×	body	128	valid
42.0ms	940×	body	128	nan

Compiler

Compiled 4130 to 2727 computations (34% saved)

Details

analyze525.0ms (3.6%)

sample41.0ms (0.3%)

simplify335.0ms (2.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite168.0ms (1.2%)

series1.0s (7.1%)

simplify132.0ms (0.9%)

prune172.0ms (1.2%)

localize29.0ms (0.2%)

rewrite597.0ms (4.1%)

series1.2s (8.5%)

simplify152.0ms (1%)

prune390.0ms (2.7%)

localize32.0ms (0.2%)

rewrite731.0ms (5%)

series985.0ms (6.8%)

simplify147.0ms (1%)

prune488.0ms (3.4%)

localize15.0ms (0.1%)

rewrite347.0ms (2.4%)

series1.1s (7.8%)

simplify232.0ms (1.6%)

prune300.0ms (2.1%)

regimes1.4s (9.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (27%)

Profiling