Details

analyze472.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample95.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	49×	body	1024	valid
15.0ms	61×	body	1024	invalid
11.0ms	48×	body	512	valid
9.0ms	139×	body	128	valid
6.0ms	101×	body	128	invalid
6.0ms	33×	body	512	invalid
2.0ms	18×	body	256	valid
2.0ms	18×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify944.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

510×	`exp-prod_binary64_471`
279×	`unsub-neg_binary64_413`
265×	`div-sub_binary64_424`
177×	`neg-mul-1_binary64_415`
176×	`*-commutative_binary64_350`
171×	`distribute-rgt-in_binary64_369`
168×	`neg-sub0_binary64_414`
154×	`distribute-rgt-neg-in_binary64_377`
131×	`swap-sqr_binary64_386`
125×	`sub-neg_binary64_412`
102×	`distribute-lft-in_binary64_368`
99×	`cancel-sign-sub-inv_binary64_385`
85×	`associate-l_binary64_360`
84×	`associate-r_binary64_359`
82×	`distribute-rgt-out_binary64_372` `associate-/l*_binary64_364`
78×	`distribute-lft-neg-in_binary64_376`
66×	`pow-plus_binary64_482`
53×	`distribute-rgt-neg-out_binary64_379`
52×	`distribute-lft-neg-out_binary64_378`
51×	`exp-sum_binary64_465`
49×	`+-commutative_binary64_349`
48×	`sub0-neg_binary64_406`
47×	`distribute-rgt1-in_binary64_375` `associate-+l-_binary64_354`
45×	`distribute-neg-frac_binary64_383`
40×	`associate-+l+_binary64_352`
37×	`exp-diff_binary64_467`
36×	`associate-+r+_binary64_351`
34×	`associate-*r/_binary64_361`
33×	`sqr-pow_binary64_391`
30×	`associate-*l/_binary64_362`
29×	`unswap-sqr_binary64_387` `distribute-neg-out_binary64_381`
28×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401` `distribute-neg-in_binary64_380`
24×	`associate--r+_binary64_355`
23×	`distribute-frac-neg_binary64_382`
21×	`*-lft-identity_binary64_408`
20×	`associate-/r*_binary64_363`
17×	`div0_binary64_400` `pow-sqr_binary64_392`
16×	`sqr-neg_binary64_433`
15×	`remove-double-neg_binary64_407` `associate--l-_binary64_357`
14×	`+-lft-identity_binary64_403`
13×	`*-rgt-identity_binary64_409` `associate-/l/_binary64_366`
12×	`exp-lft-sqr_binary64_474` `distribute-lft1-in_binary64_374`
11×	`cube-prod_binary64_447` `--rgt-identity_binary64_405`
9×	`distribute-lft-out_binary64_370` `count-2_binary64_367`
7×	`cube-unmult_binary64_456` `/-rgt-identity_binary64_410`
6×	`prod-exp_binary64_468` `exp-neg_binary64_466` `+-rgt-identity_binary64_404`
5×	`pow-base-1_binary64_479` `associate-/r/_binary64_365` `associate-+r-_binary64_353`
3×	`exp-sqrt_binary64_472`
2×	`div-exp_binary64_470` `cube-div_binary64_448` `rem-sqrt-square_binary64_432` `mul-1-neg_binary64_411` `*-inverses_binary64_399` `associate--r-_binary64_358`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `rgt-mult-inverse_binary64_396` `cancel-sign-sub_binary64_384` `distribute-rgt-out--_binary64_373` `associate--l+_binary64_356`
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` `exp-to-pow_binary64_481` `unpow0_binary64_478` `unpow1_binary64_477` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `rec-exp_binary64_469` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-mult_binary64_449` `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-square-sqrt_binary64_431` `times-frac_binary64_425` `+-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` `distribute-lft-out--_binary64_371`

Counts

1 → 3

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	28	24
2	50	24
3	104	24
4	222	24
5	525	24
6	1096	24
7	2281	1
8	64	1

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

17.3b

Counts

4 → 1

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))) U)
0.0b	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
0.0b	(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))))
7.0b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite135.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_441`
12×	`*-un-lft-identity_binary64_419`
11×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`associate-l_binary64_360`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
4×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l/_binary64_362` `associate-r*_binary64_359`
3×	`flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
2×	`sinh-undef_binary64_612` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `associate-r/_binary64_361` `-commutative_binary64_350`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `unswap-sqr_binary64_387` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))) U)
10.0ms	(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))))
8.0ms	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1796 to 765 computations (57.4% saved)

series1.6s (10.2%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

920.0ms	(+.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))) U)
427.0ms	(.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))))
202.0ms	(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))
43.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 2620 to 1972 computations (24.7% saved)

simplify453.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

333×	`distribute-rgt-in_binary64_369`
306×	`distribute-lft-in_binary64_368`
219×	`cancel-sign-sub-inv_binary64_385`
214×	`associate-r_binary64_359`
182×	`associate-l_binary64_360`
141×	`associate-+l+_binary64_352`
120×	`+-commutative_binary64_349`
119×	`*-commutative_binary64_350`
105×	`exp-prod_binary64_471`
103×	`associate-+r+_binary64_351`
100×	`associate-*r/_binary64_361`
90×	`distribute-rgt-neg-in_binary64_377` `associate-*l/_binary64_362`
81×	`sub-neg_binary64_412`
73×	`exp-sum_binary64_465`
69×	`distribute-lft-neg-in_binary64_376`
56×	`distribute-lft-neg-out_binary64_378`
53×	`sqr-pow_binary64_391` `associate-/l*_binary64_364`
51×	`distribute-rgt-out_binary64_372`
46×	`associate--l+_binary64_356`
45×	`log-prod_binary64_505`
42×	`cube-div_binary64_448` `cube-prod_binary64_447` `associate-+l-_binary64_354`
41×	`log-div_binary64_506`
39×	`prod-exp_binary64_468` `associate-+r-_binary64_353`
37×	`neg-sub0_binary64_414`
36×	`div-sub_binary64_424`
34×	`neg-mul-1_binary64_415`
28×	`distribute-rgt-neg-out_binary64_379` `distribute-lft-out_binary64_370`
23×	`pow-sqr_binary64_392`
22×	`unswap-sqr_binary64_387` `distribute-rgt-out--_binary64_373`
21×	`exp-sqrt_binary64_472` `*-rgt-identity_binary64_409`
20×	`associate--r+_binary64_355`
19×	`exp-diff_binary64_467`
18×	`swap-sqr_binary64_386`
15×	`unpow3_binary64_485`
14×	`exp-neg_binary64_466` `*-lft-identity_binary64_408`
13×	`unsub-neg_binary64_413`
11×	`div-exp_binary64_470` `distribute-neg-in_binary64_380` `associate-/l/_binary64_366`
10×	`cube-mult_binary64_449` `distribute-lft-out--_binary64_371`
7×	`log-pow_binary64_508` `pow-plus_binary64_482` `distribute-neg-frac_binary64_383`
6×	`cube-unmult_binary64_456`
5×	`associate-/r*_binary64_363`
4×	`+-rgt-identity_binary64_404` `difference-of-squares_binary64_388` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `associate-/r/_binary64_365`
3×	`log-rec_binary64_507` `rem-log-exp_binary64_460` `rem-sqrt-square_binary64_432` `distribute-lft1-in_binary64_374` `count-2_binary64_367`
2×	`pow-base-1_binary64_479` `mul-1-neg_binary64_411`
1×	`sinh-def_binary64_604` `unpow2_binary64_484` `unpow1_binary64_477` `exp-lft-sqr_binary64_474` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `/-rgt-identity_binary64_410` `sub0-neg_binary64_406` `*-inverses_binary64_399` `lft-mult-inverse_binary64_397` `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` `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` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `rec-exp_binary64_469` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-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` `times-frac_binary64_425` `remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `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` `associate--l-_binary64_357`

Counts

122 → 194

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	3110
1	575	2837
2	1663	2674
3	4481	2674

prune268.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	4	195

Error

0.0b

Counts

195 → 4

Compiler

Compiled 5105 to 2535 computations (50.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l))))
0.1b	(.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (cos.f64 (/.f64 K 2)))
0.1b	(.f64 J (.f64 (.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l)))) (cos.f64 (/.f64 K 2))))
0.2b	(.f64 1/3 (.f64 l l))

rewrite166.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
13×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
12×	`add-sqr-sqrt_binary64_441`
10×	`associate-l_binary64_360`
9×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`associate-r_binary64_359` `associate-*r/_binary64_361`
4×	`add-log-exp_binary64_458` `-commutative_binary64_350` `associate-l/_binary64_362`
3×	`flip3-+_binary64_422` `flip-+_binary64_393`
2×	`unswap-sqr_binary64_387`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

4 → 84

Calls

4 calls:

12.0ms	(.f64 J (.f64 (.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l)))) (cos.f64 (/.f64 K 2))))
7.0ms	(.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (cos.f64 (/.f64 K 2)))
6.0ms	(.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l))))
6.0ms	(.f64 1/3 (.f64 l l))

Compiler

Compiled 2313 to 1474 computations (36.3% saved)

series1.1s (6.6%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

557.0ms	(.f64 J (.f64 (.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l)))) (cos.f64 (/.f64 K 2))))
329.0ms	(.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (cos.f64 (/.f64 K 2)))
96.0ms	(.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l))))
42.0ms	(.f64 1/3 (.f64 l l))

Compiler

Compiled 1685 to 1423 computations (15.5% saved)

simplify393.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

842×	`distribute-rgt-in_binary64_369`
838×	`distribute-lft-in_binary64_368`
385×	`associate-r_binary64_359`
362×	`associate-l_binary64_360`
192×	`cancel-sign-sub-inv_binary64_385`
124×	`distribute-rgt-neg-in_binary64_377`
123×	`*-commutative_binary64_350`
107×	`distribute-lft-neg-in_binary64_376`
79×	`exp-prod_binary64_471`
60×	`log-prod_binary64_505`
58×	`unswap-sqr_binary64_387`
53×	`sqr-pow_binary64_391`
39×	`cube-prod_binary64_447` `swap-sqr_binary64_386`
28×	`sub-neg_binary64_412` `*-rgt-identity_binary64_409`
26×	`*-lft-identity_binary64_408`
24×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `distribute-rgt-out--_binary64_373`
20×	`pow-sqr_binary64_392` `+-commutative_binary64_349`
17×	`distribute-lft-neg-out_binary64_378`
14×	`exp-sum_binary64_465`
11×	`distribute-rgt-out_binary64_372`
10×	`pow-plus_binary64_482`
8×	`unpow3_binary64_485` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
7×	`cube-unmult_binary64_456`
6×	`unsub-neg_binary64_413` `distribute-lft-out_binary64_370`
5×	`cube-mult_binary64_449`
4×	`distribute-neg-in_binary64_380`
2×	`log-pow_binary64_508` `unpow2_binary64_484` `unpow1_binary64_477`
1×	`log-div_binary64_506` `unpow1/3_binary64_486` `pow-base-1_binary64_479` `exp-lft-sqr_binary64_474` `exp-sqrt_binary64_472` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-log-exp_binary64_460` `cube-div_binary64_448` `*-inverses_binary64_399` `difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379` `count-2_binary64_367`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-rec_binary64_507` `pow-base-0_binary64_503` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `div-sub_binary64_424` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-/r_binary64_363` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Counts

116 → 232

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2656
1	443	2170
2	1885	2154

prune420.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	227	5	232
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	228	8	236

Error

Counts

236 → 8

Compiler

Compiled 6607 to 4434 computations (32.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))) U)
0.1b	(.f64 (+.f64 (.f64 2 l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
0.1b	(.f64 J (.f64 (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))
0.1b	(*.f64 1/3 (pow.f64 l 3))

rewrite183.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64_441`
16×	`add-exp-log_binary64_457` `associate-r_binary64_359`
13×	`add-cbrt-cube_binary64_455`
11×	`pow1_binary64_480` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`associate-l_binary64_360`
7×	`prod-exp_binary64_468`
6×	`add-log-exp_binary64_458`
5×	`cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
4×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447` `pow-prod-down_binary64_490` `associate-*l/_binary64_362`
3×	`*-commutative_binary64_350` `flip3-+_binary64_422` `flip-+_binary64_393`
2×	`sqr-pow_binary64_391` `associate-*r/_binary64_361`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow3_binary64_485` `cube-mult_binary64_449` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 82

Calls

4 calls:

11.0ms	(.f64 J (.f64 (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))
9.0ms	(+.f64 (.f64 J (.f64 (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))) U)
7.0ms	(*.f64 1/3 (pow.f64 l 3))
7.0ms	(.f64 (+.f64 (.f64 2 l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 2381 to 1786 computations (25% saved)

series2.2s (13.6%)

Error

Counts

4 → 51

Calls

4 calls:

1.2s	(+.f64 (.f64 J (.f64 (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))) U)
572.0ms	(.f64 J (.f64 (+.f64 (.f64 2 l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))
337.0ms	(.f64 (+.f64 (.f64 2 l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
57.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 2733 to 2267 computations (17.1% saved)

simplify523.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

447×	`distribute-rgt-in_binary64_369`
434×	`distribute-lft-in_binary64_368`
326×	`cancel-sign-sub-inv_binary64_385`
280×	`associate-r_binary64_359`
272×	`associate-l_binary64_360`
156×	`distribute-rgt-neg-in_binary64_377`
144×	`exp-prod_binary64_471`
138×	`distribute-lft-neg-in_binary64_376`
135×	`unswap-sqr_binary64_387`
124×	`log-prod_binary64_505`
106×	`*-commutative_binary64_350`
74×	`sqr-pow_binary64_391`
66×	`associate-+l+_binary64_352`
62×	`+-commutative_binary64_349`
55×	`associate-+r+_binary64_351`
51×	`associate-*l/_binary64_362`
50×	`sub-neg_binary64_412` `associate-*r/_binary64_361`
45×	`cube-prod_binary64_447`
41×	`pow-sqr_binary64_392` `distribute-rgt-out_binary64_372`
40×	`associate--l+_binary64_356`
32×	`exp-sqrt_binary64_472`
31×	`log-pow_binary64_508` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
30×	`log-div_binary64_506` `swap-sqr_binary64_386`
29×	`unpow3_binary64_485` `distribute-rgt-out--_binary64_373`
28×	`pow-plus_binary64_482`
23×	`*-rgt-identity_binary64_409`
21×	`*-lft-identity_binary64_408` `associate-+l-_binary64_354`
20×	`distribute-lft-neg-out_binary64_378`
18×	`associate--r+_binary64_355`
16×	`associate-+r-_binary64_353`
14×	`distribute-lft-out_binary64_370`
12×	`exp-sum_binary64_465` `associate-/l*_binary64_364`
11×	`cube-mult_binary64_449`
10×	`distribute-neg-in_binary64_380`
6×	`unsub-neg_binary64_413`
5×	`pow-base-1_binary64_479` `prod-exp_binary64_468` `cube-unmult_binary64_456`
4×	`associate-/l/_binary64_366`
3×	`rem-sqrt-square_binary64_432` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out--_binary64_371`
2×	`unpow1/3_binary64_486` `exp-lft-sqr_binary64_474` `difference-of-squares_binary64_388` `count-2_binary64_367`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-log-exp_binary64_460` `cube-div_binary64_448` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `*-inverses_binary64_399`
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` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-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` `times-frac_binary64_425` `div-sub_binary64_424` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `associate-/r/_binary64_365` `associate-/r*_binary64_363` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

133 → 348

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	3303
1	478	2860
2	1715	2812
3	4656	2812

prune835.0ms (5.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	348	8	356

Error

Counts

356 → 8

Compiler

Compiled 11000 to 7818 computations (28.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l))))
0.1b	(.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 (cos.f64 (/.f64 K 2)) J))
0.2b	(*.f64 (cos.f64 (/.f64 K 2)) J)
0.2b	(.f64 1/3 (.f64 l l))

rewrite155.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
14×	`add-sqr-sqrt_binary64_441`
13×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
10×	`associate-l_binary64_360`
9×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `-commutative_binary64_350` `associate-r/_binary64_361`
3×	`unswap-sqr_binary64_387`
2×	`flip3-+_binary64_422` `associate-*l/_binary64_362` `flip-+_binary64_393`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

4 → 83

Calls

4 calls:

9.0ms	(.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 (cos.f64 (/.f64 K 2)) J))
6.0ms	(.f64 1/3 (.f64 l l))
6.0ms	(.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l))))
4.0ms	(*.f64 (cos.f64 (/.f64 K 2)) J)

Compiler

Compiled 2376 to 1574 computations (33.8% saved)

series881.0ms (5.5%)

Error

Counts

4 → 29

Calls

4 calls:

568.0ms	(.f64 (.f64 l (+.f64 2 (.f64 1/3 (.f64 l l)))) (*.f64 (cos.f64 (/.f64 K 2)) J))
133.0ms	(*.f64 (cos.f64 (/.f64 K 2)) J)
96.0ms	(.f64 l (+.f64 2 (.f64 1/3 (*.f64 l l))))
45.0ms	(.f64 1/3 (.f64 l l))

Compiler

Compiled 1678 to 1419 computations (15.4% saved)

simplify367.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64_369`
609×	`distribute-lft-in_binary64_368`
373×	`associate-r_binary64_359`
356×	`associate-l_binary64_360`
128×	`exp-prod_binary64_471` `cancel-sign-sub-inv_binary64_385`
112×	`*-commutative_binary64_350`
105×	`distribute-rgt-neg-in_binary64_377`
91×	`distribute-lft-neg-in_binary64_376`
86×	`log-prod_binary64_505`
58×	`associate-l/_binary64_362` `associate-r/_binary64_361`
53×	`sqr-pow_binary64_391`
50×	`associate-+l+_binary64_352` `associate-+r+_binary64_351`
48×	`unswap-sqr_binary64_387`
39×	`cube-prod_binary64_447`
38×	`swap-sqr_binary64_386`
34×	`+-commutative_binary64_349`
32×	`exp-sqrt_binary64_472`
28×	`log-div_binary64_506`
27×	`pow-plus_binary64_482`
25×	`*-lft-identity_binary64_408`
24×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `*-rgt-identity_binary64_409`
20×	`pow-sqr_binary64_392`
19×	`sub-neg_binary64_412` `associate--l+_binary64_356`
15×	`unpow3_binary64_485`
14×	`distribute-lft-neg-out_binary64_378` `distribute-rgt-out--_binary64_373`
12×	`exp-sum_binary64_465`
9×	`distribute-rgt-out_binary64_372`
7×	`cube-unmult_binary64_456` `associate-/l*_binary64_364` `associate-+l-_binary64_354`
6×	`log-pow_binary64_508` `associate--r+_binary64_355` `associate-+r-_binary64_353`
5×	`cube-mult_binary64_449`
4×	`distribute-lft-out_binary64_370`
3×	`unpow1/3_binary64_486` `unsub-neg_binary64_413`
2×	`unpow2_binary64_484` `pow-base-1_binary64_479` `unpow1_binary64_477` `exp-lft-sqr_binary64_474` `distribute-neg-in_binary64_380` `associate-/l/_binary64_366`
1×	`prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-log-exp_binary64_460` `cube-div_binary64_448` `*-inverses_binary64_399` `difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375` `count-2_binary64_367`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-rec_binary64_507` `pow-base-0_binary64_503` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `div-sub_binary64_424` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `associate-/r/_binary64_365` `associate-/r*_binary64_363` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

112 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2230
1	429	1802
2	1722	1792
3	4851	1792

prune358.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	195	8	203

Error

Counts

203 → 8

Compiler

Compiled 5609 to 3821 computations (31.9% saved)

regimes760.0ms (4.7%)

Accuracy

Total 0.0b remaining (72.3%)

Threshold costs 0.0b (72.3%)

Compiler

Compiled 8566 to 7277 computations (15% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_350`
1×	`+-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	13	20
1	17	20

Proof

(+ f64 (* f64 h0 (* f64 (* f64 2 (sinh f64 h1)) (cos f64 (/ f64 h2 2)))) h3)

end0.0ms (0%)

sample3.7s (23.2%)

Algorithm

1×

intervals

Results

689.0ms	1641×	body	1024	valid
507.0ms	1941×	body	1024	invalid
295.0ms	4426×	body	128	valid
269.0ms	1195×	body	512	valid
237.0ms	3473×	body	128	invalid
193.0ms	1015×	body	512	invalid
96.0ms	678×	body	256	valid
60.0ms	466×	body	256	invalid
37.0ms	60×	body	2048	valid

Compiler

Compiled 860 to 729 computations (15.2% saved)

Details

analyze472.0ms (2.9%)

sample95.0ms (0.6%)

simplify944.0ms (5.9%)

prune6.0ms (0%)

localize12.0ms (0.1%)

rewrite135.0ms (0.8%)

series1.6s (10.2%)

simplify453.0ms (2.8%)

prune268.0ms (1.7%)

localize13.0ms (0.1%)

rewrite166.0ms (1%)

series1.1s (6.6%)

simplify393.0ms (2.4%)

prune420.0ms (2.6%)

localize13.0ms (0.1%)

rewrite183.0ms (1.1%)

series2.2s (13.6%)

simplify523.0ms (3.2%)

prune835.0ms (5.2%)

localize14.0ms (0.1%)

rewrite155.0ms (1%)

series881.0ms (5.5%)

simplify367.0ms (2.3%)

prune358.0ms (2.2%)

regimes760.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.7s (23.2%)

Profiling