Details

analyze2.0s (30.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample97.0ms (1.5%)

Algorithm

1×

intervals

Results

39.0ms	79×	body	1024	valid
14.0ms	117×	body	128	valid
13.0ms	35×	body	512	valid
6.0ms	25×	body	256	valid
5.0ms	3×	body	256	invalid
4.0ms	37×	body	128	invalid
1.0ms	3×	body	512	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify149.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64_369`
623×	`distribute-lft-in_binary64_368`
430×	`associate-/r/_binary64_365`
407×	`associate-/r*_binary64_363`
372×	`distribute-rgt-out_binary64_372`
316×	`associate-/l*_binary64_364`
262×	`*-commutative_binary64_350`
235×	`unswap-sqr_binary64_387`
203×	`times-frac_binary64_425`
146×	`distribute-lft-out_binary64_370`
100×	`associate-l_binary64_360`
97×	`associate-*l/_binary64_362`
90×	`associate-r_binary64_359`
88×	`associate-/l/_binary64_366`
79×	`associate-*r/_binary64_361`
45×	`sqr-pow_binary64_391`
43×	`*-lft-identity_binary64_408` `associate-+l+_binary64_352`
42×	`associate-+r+_binary64_351`
40×	`*-rgt-identity_binary64_409`
30×	`pow-sqr_binary64_392`
18×	`/-rgt-identity_binary64_410` `distribute-rgt1-in_binary64_375`
8×	`pow-plus_binary64_482` `count-2_binary64_367`
7×	`cube-unmult_binary64_456`
5×	`unpow3_binary64_485` `distribute-lft1-in_binary64_374` `+-commutative_binary64_349`
4×	`cube-prod_binary64_447`
2×	`swap-sqr_binary64_386`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `1-exp_binary64_463` `cube-mult_binary64_449` `*-inverses_binary64_399` `rgt-mult-inverse_binary64_396`
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` `unpow1/2_binary64_483` `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` `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-div_binary64_448` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `div-sub_binary64_424` `neg-mul-1_binary64_415` `neg-sub0_binary64_414` `unsub-neg_binary64_413` `sub-neg_binary64_412` `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_398` `lft-mult-inverse_binary64_397` `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-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` `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

1 → 5

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	53	38
2	178	35
3	871	35
4	3054	35
5	4660	35

prune15.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

29.8b

Counts

6 → 5

Compiler

Compiled 238 to 169 computations (29% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 k t) 2)
3.3b	(/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3))
13.5b	(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
17.9b	(*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l)))

rewrite1.7s (27%)

Algorithm

1×	rewrite-expression-head

Error

18.5b

Rules

703×	`times-frac_binary64_425`
423×	`add-sqr-sqrt_binary64_441`
316×	`*-un-lft-identity_binary64_419`
312×	`add-cube-cbrt_binary64_454`
211×	`add-exp-log_binary64_457`
172×	`associate-l_binary64_360`
128×	`div-exp_binary64_470`
106×	`unpow-prod-down_binary64_498`
93×	`cube-prod_binary64_447`
92×	`add-cbrt-cube_binary64_455`
49×	`cbrt-undiv_binary64_453`
44×	`associate-r_binary64_359`
42×	`prod-exp_binary64_468`
36×	`sqr-pow_binary64_391`
33×	`div-inv_binary64_416`
29×	`unpow3_binary64_485` `cube-mult_binary64_449`
28×	`associate-/r/_binary64_365`
27×	`unswap-sqr_binary64_387`
25×	`tan-quot_binary64_578`
18×	`cbrt-unprod_binary64_452`
16×	`pow-exp_binary64_487` `associate-/r*_binary64_363`
15×	`pow-to-exp_binary64_488` `associate-/l*_binary64_364`
7×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `associate-/l/_binary64_366`
3×	`pow-unpow_binary64_496`
2×	`frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361` `frac-2neg_binary64_430` `distribute-lft-out_binary64_370` `clear-num_binary64_418`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `flip3-+_binary64_422` `flip-+_binary64_393` `pow-pow_binary64_491` `unpow2_binary64_484`

Counts

4 → 583

Calls

4 calls:

131.0ms	(*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l)))
36.0ms	(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
11.0ms	(/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3))
4.0ms	(pow.f64 (/.f64 k t) 2)

Compiler

Compiled 21212 to 10775 computations (49.2% saved)

series2.0s (31.9%)

Error

22.6b

Counts

4 → 47

Calls

4 calls:

1.0s	(/.f64 (*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
621.0ms	(*.f64 (/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3)) (/.f64 l (/.f64 (sin.f64 k) l)))
237.0ms	(/.f64 (/.f64 2 (tan.f64 k)) (pow.f64 t 3))
71.0ms	(pow.f64 (/.f64 k t) 2)

Compiler

Compiled 4017 to 3001 computations (25.3% saved)

simplify373.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

790×	`times-frac_binary64_425`
626×	`associate-/l/_binary64_366`
305×	`associate-/r/_binary64_365`
205×	`*-commutative_binary64_350`
180×	`associate-*l/_binary64_362`
175×	`associate-*r/_binary64_361`
87×	`sqr-pow_binary64_391`
80×	`associate-/r*_binary64_363`
61×	`associate-/l*_binary64_364`
55×	`sub-neg_binary64_412`
35×	`unswap-sqr_binary64_387`
31×	`cancel-sign-sub-inv_binary64_385`
28×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `distribute-rgt-in_binary64_369`
26×	`unpow2_binary64_484` `/-rgt-identity_binary64_410` `distribute-lft-in_binary64_368`
24×	`unpow1_binary64_477`
21×	`pow-sqr_binary64_392`
20×	`distribute-rgt-neg-in_binary64_377`
17×	`log-div_binary64_506` `associate--l+_binary64_356`
16×	`distribute-neg-in_binary64_380`
15×	`distribute-lft-neg-in_binary64_376` `associate-l_binary64_360` `+-commutative_binary64_349`
14×	`distribute-neg-frac_binary64_383`
13×	`associate-r_binary64_359`
12×	`log-prod_binary64_505` `associate-+l-_binary64_354`
11×	`cube-unmult_binary64_456` `swap-sqr_binary64_386`
8×	`unpow3_binary64_485`
7×	`cube-mult_binary64_449` `-rgt-identity_binary64_409` `-lft-identity_binary64_408`
6×	`distribute-lft-neg-out_binary64_378`
5×	`pow-plus_binary64_482` `exp-prod_binary64_471` `associate--r+_binary64_355`
4×	`log-pow_binary64_508` `pow-base-1_binary64_479` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `associate-+r-_binary64_353`
3×	`cube-prod_binary64_447` `remove-double-div_binary64_395`
2×	`difference-of-squares_binary64_388` `distribute-rgt-out_binary64_372` `associate--l-_binary64_357` `associate-+r+_binary64_351`
1×	`1-exp_binary64_463` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `div-sub_binary64_424` `unsub-neg_binary64_413` `*-inverses_binary64_399` `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` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `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-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-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_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `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` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate-+l+_binary64_352`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	833	18984
1	2130	17667

Details

analyze2.0s (30.8%)

sample97.0ms (1.5%)

simplify149.0ms (2.3%)

prune15.0ms (0.2%)

localize20.0ms (0.3%)

rewrite1.7s (27%)

series2.0s (31.9%)

simplify373.0ms (5.9%)

end0.0ms (0%)

Profiling