Details

analyze2.3s (18.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	98.1%	1.9%	7
0%	98.1%	1.9%	8
0%	97.8%	2.2%	9
0%	96.8%	3.2%	10
0%	96.3%	3.7%	11
0%	94.3%	5.7%	12
0.4%	92.1%	7.5%	13
0.6%	90.8%	8.6%	14

Compiler

Compiled 29 to 24 computations (17.2% saved)

sample99.0ms (0.8%)

Algorithm

1×

intervals

Results

32.0ms	368×	body	128	nan
23.0ms	256×	body	128	valid
4.0ms	40×	body	128	invalid

Compiler

Compiled 57 to 53 computations (7% saved)

simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

381×	`distribute-rgt-neg-out_binary64_379`
378×	`cancel-sign-sub-inv_binary64_385`
363×	`unsub-neg_binary64_413`
350×	`distribute-lft-neg-out_binary64_378`
308×	`distribute-neg-frac_binary64_383`
285×	`distribute-rgt-in_binary64_369`
278×	`distribute-lft-in_binary64_368`
242×	`associate-*r/_binary64_361`
237×	`associate-*l/_binary64_362`
211×	`*-commutative_binary64_350`
149×	`neg-sub0_binary64_414`
143×	`neg-mul-1_binary64_415`
134×	`distribute-neg-in_binary64_380`
104×	`associate-r_binary64_359`
98×	`associate-l_binary64_360`
94×	`sub-neg_binary64_412`
90×	`distribute-rgt-neg-in_binary64_377`
85×	`distribute-neg-out_binary64_381`
83×	`distribute-lft-neg-in_binary64_376`
54×	`times-frac_binary64_425`
44×	`associate-/l*_binary64_364`
37×	`associate-+r+_binary64_351`
35×	`remove-double-neg_binary64_407`
32×	`associate-+l+_binary64_352`
27×	`div-sub_binary64_424`
23×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401` `distribute-lft-out_binary64_370`
21×	`+-commutative_binary64_349`
20×	`associate--r+_binary64_355`
16×	`associate-+l-_binary64_354` `associate-+r-_binary64_353`
12×	`distribute-rgt-out_binary64_372`
11×	`sub0-neg_binary64_406`
10×	`associate-/r/_binary64_365`
9×	`sqr-pow_binary64_391`
8×	`unswap-sqr_binary64_387`
7×	`+-rgt-identity_binary64_404` `associate--l+_binary64_356`
6×	`associate--r-_binary64_358`
5×	`pow-plus_binary64_482` `pow-sqr_binary64_392` `distribute-lft-out--_binary64_371` `associate-/l/_binary64_366` `associate--l-_binary64_357`
4×	`--rgt-identity_binary64_405`
2×	`cube-unmult_binary64_456` `div0_binary64_400` `associate-/r*_binary64_363`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `1-exp_binary64_463` `-rgt-identity_binary64_409` `-inverses_binary64_399` `rgt-mult-inverse_binary64_396` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382`
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` `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-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` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `*-lft-identity_binary64_408` `+-lft-identity_binary64_403` `+-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` `swap-sqr_binary64_386` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `count-2_binary64_367`

Counts

1 → 5

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	56	42
2	187	42
3	714	39
4	2490	39

prune14.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

26.4b

Counts

6 → 3

Compiler

Compiled 216 to 136 computations (37% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.2b	(*.f64 n (/.f64 l Om))
7.7b	(.f64 U (.f64 2 (.f64 n (+.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))) (.f64 2 l)))))))
9.7b	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
18.2b	(sqrt.f64 (.f64 U (.f64 2 (.f64 n (+.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))) (.f64 2 l))))))))

rewrite197.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

22.5b

Rules

30×	`pow1_binary64_480`
27×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
21×	`add-sqr-sqrt_binary64_441`
17×	`associate-*r/_binary64_361`
16×	`pow-prod-down_binary64_490` `*-un-lft-identity_binary64_419`
15×	`associate-r_binary64_359`
14×	`add-cube-cbrt_binary64_454`
13×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
12×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
11×	`associate-l_binary64_360`
10×	`times-frac_binary64_425`
4×	`add-log-exp_binary64_458` `sqrt-pow1_binary64_437`
3×	`*-commutative_binary64_350`
2×	`flip3-+_binary64_422` `sqrt-div_binary64_436` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `flip3--_binary64_423` `frac-times_binary64_429` `flip--_binary64_394` `associate-*l/_binary64_362` `unswap-sqr_binary64_387`
1×	`pow1/2_binary64_499` `sqrt-prod_binary64_435` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `div-inv_binary64_416`

Counts

4 → 105

Calls

4 calls:

11.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
11.0ms	(*.f64 n (/.f64 l Om))
10.0ms	(.f64 U (.f64 2 (.f64 n (+.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))) (.f64 2 l)))))))
8.0ms	(sqrt.f64 (.f64 U (.f64 2 (.f64 n (+.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))) (.f64 2 l))))))))

Compiler

Compiled 3918 to 1607 computations (59% saved)

series3.6s (28.7%)

Error

16.9b

Counts

4 → 91

Calls

4 calls:

2.0s	(.f64 U (.f64 2 (.f64 n (+.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))) (.f64 2 l)))))))
1.0s	(sqrt.f64 (.f64 U (.f64 2 (.f64 n (+.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 (-.f64 U U) (.f64 n (/.f64 l Om))) (.f64 2 l))))))))
342.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
114.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 9502 to 7122 computations (25% saved)

simplify384.0ms (3%)

Algorithm

1×	egg-herbie

Rules

707×	`associate-r_binary64_359`
584×	`associate-l_binary64_360`
193×	`*-commutative_binary64_350`
192×	`associate-/l*_binary64_364`
175×	`times-frac_binary64_425`
157×	`associate-*r/_binary64_361`
142×	`associate-*l/_binary64_362`
110×	`associate-/r*_binary64_363`
105×	`distribute-rgt-in_binary64_369`
96×	`distribute-lft-in_binary64_368`
70×	`cancel-sign-sub-inv_binary64_385`
56×	`distribute-rgt-neg-in_binary64_377`
51×	`sub-neg_binary64_412`
40×	`neg-sub0_binary64_414`
39×	`associate-/r/_binary64_365`
38×	`distribute-lft-neg-in_binary64_376`
34×	`neg-mul-1_binary64_415`
28×	`+-commutative_binary64_349`
27×	`unswap-sqr_binary64_387` `associate-/l/_binary64_366`
25×	`sqr-pow_binary64_391`
17×	`swap-sqr_binary64_386`
16×	`distribute-neg-frac_binary64_383` `distribute-lft-neg-out_binary64_378`
12×	`cube-unmult_binary64_456`
11×	`log-prod_binary64_505` `exp-prod_binary64_471`
10×	`div-sub_binary64_424` `mul-1-neg_binary64_411` `distribute-neg-in_binary64_380`
9×	`distribute-rgt-out--_binary64_373`
7×	`associate--r+_binary64_355`
6×	`unpow3_binary64_485` `associate--l+_binary64_356` `associate-+r+_binary64_351`
5×	`cube-mult_binary64_449`
4×	`log-div_binary64_506` `unpow2_binary64_484` `pow-plus_binary64_482` `pow-sqr_binary64_392` `difference-of-squares_binary64_388` `distribute-rgt-out_binary64_372`
3×	`cube-prod_binary64_447` `/-rgt-identity_binary64_410` `distribute-lft-out_binary64_370`
2×	`cube-div_binary64_448` `*-rgt-identity_binary64_409` `distribute-lft-out--_binary64_371` `associate-+r-_binary64_353`
1×	`exp-diff_binary64_467` `exp-sum_binary64_465` `1-exp_binary64_463` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `unsub-neg_binary64_413` `*-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-pow_binary64_508` `log-rec_binary64_507` `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` `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` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-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` `*-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` `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-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` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+l+_binary64_352`

Counts

196 → 379

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	429	6666
1	1161	5967

prune618.0ms (4.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	362	17	379
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	364	18	382

Error

9.5b

Counts

382 → 18

Compiler

Compiled 14796 to 5473 computations (63% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.2b	(*.f64 n (/.f64 l Om))
7.6b	(.f64 (.f64 U 2) (*.f64 n (/.f64 l Om)))
9.7b	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
18.2b	(sqrt.f64 (+.f64 (.f64 (.f64 2 t) (.f64 U n)) (.f64 (.f64 (.f64 U 2) (.f64 n (/.f64 l Om))) (-.f64 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))) (.f64 2 l)))))

rewrite197.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

9.5b

Rules

39×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
24×	`pow1_binary64_480`
22×	`add-sqr-sqrt_binary64_441`
20×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
16×	`*-un-lft-identity_binary64_419`
15×	`associate-r_binary64_359`
14×	`add-cube-cbrt_binary64_454`
12×	`pow-prod-down_binary64_490`
10×	`times-frac_binary64_425`
9×	`associate-l_binary64_360`
7×	`associate-*r/_binary64_361`
4×	`add-log-exp_binary64_458` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`sqrt-prod_binary64_435` `*-commutative_binary64_350`
2×	`sqrt-div_binary64_436` `flip3--_binary64_423` `frac-times_binary64_429` `flip--_binary64_394` `associate-*l/_binary64_362` `unswap-sqr_binary64_387`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `flip3-+_binary64_422` `flip-+_binary64_393` `rem-sqrt-square_binary64_432` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `div-inv_binary64_416`

Counts

4 → 101

Calls

4 calls:

10.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
9.0ms	(.f64 (.f64 U 2) (*.f64 n (/.f64 l Om)))
8.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 2 t) (.f64 U n)) (.f64 (.f64 (.f64 U 2) (.f64 n (/.f64 l Om))) (-.f64 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))) (.f64 2 l)))))
7.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 4346 to 1744 computations (59.9% saved)

series1.7s (13.5%)

Error

9.4b

Counts

4 → 64

Calls

4 calls:

898.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 2 t) (.f64 U n)) (.f64 (.f64 (.f64 U 2) (.f64 n (/.f64 l Om))) (-.f64 (.f64 (-.f64 U* U) (.f64 n (/.f64 l Om))) (.f64 2 l)))))
362.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
238.0ms	(.f64 (.f64 U 2) (*.f64 n (/.f64 l Om)))
111.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 7528 to 5318 computations (29.4% saved)

simplify338.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-r_binary64_359`
495×	`associate-l_binary64_360`
365×	`cancel-sign-sub-inv_binary64_385`
247×	`*-commutative_binary64_350`
153×	`unswap-sqr_binary64_387`
148×	`associate-*r/_binary64_361`
143×	`associate-/l*_binary64_364`
125×	`times-frac_binary64_425`
111×	`associate-*l/_binary64_362`
100×	`sub-neg_binary64_412`
94×	`cube-prod_binary64_447` `swap-sqr_binary64_386`
87×	`neg-sub0_binary64_414`
80×	`neg-mul-1_binary64_415`
78×	`associate-/r*_binary64_363`
76×	`sqr-pow_binary64_391`
59×	`distribute-rgt-neg-in_binary64_377`
56×	`log-prod_binary64_505` `+-commutative_binary64_349`
55×	`exp-prod_binary64_471`
45×	`*-rgt-identity_binary64_409`
43×	`distribute-lft-neg-in_binary64_376`
34×	`distribute-lft-in_binary64_368`
33×	`distribute-rgt-in_binary64_369`
30×	`cube-div_binary64_448`
29×	`log-div_binary64_506`
26×	`*-lft-identity_binary64_408`
25×	`associate-/r/_binary64_365`
24×	`associate-/l/_binary64_366`
23×	`pow-sqr_binary64_392`
16×	`associate-+r+_binary64_351`
15×	`associate-+l+_binary64_352`
14×	`unpow3_binary64_485` `div-sub_binary64_424` `distribute-lft-neg-out_binary64_378`
13×	`cube-mult_binary64_449`
12×	`pow-plus_binary64_482`
10×	`cube-unmult_binary64_456` `/-rgt-identity_binary64_410`
9×	`mul-1-neg_binary64_411` `distribute-neg-frac_binary64_383`
8×	`exp-sum_binary64_465` `distribute-rgt-out--_binary64_373` `associate--r+_binary64_355`
7×	`unsub-neg_binary64_413` `associate-+r-_binary64_353`
6×	`exp-diff_binary64_467` `distribute-neg-in_binary64_380`
5×	`exp-lft-sqr_binary64_474` `difference-of-squares_binary64_388`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `associate-+l-_binary64_354`
2×	`log-rec_binary64_507` `rem-sqrt-square_binary64_432` `distribute-rgt-out_binary64_372` `distribute-lft-out--_binary64_371` `associate--l+_binary64_356`
1×	`prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-square-sqrt_binary64_431` `*-inverses_binary64_399` `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` `log-pow_binary64_508` `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-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-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` `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-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` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

165 → 452

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	4241
1	881	3725
2	3625	3725

prune982.0ms (7.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	443	9	452
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	444	26	470

Error

8.4b

Counts

470 → 26

Compiler

Compiled 22139 to 8798 computations (60.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.2b	(*.f64 n (/.f64 l Om))
7.2b	(*.f64 n (/.f64 l Om))
7.6b	(.f64 (.f64 U 2) (*.f64 n (/.f64 l Om)))
18.2b	(sqrt.f64 (+.f64 (.f64 (.f64 2 t) (.f64 U n)) (.f64 (.f64 (.f64 U 2) (.f64 n (/.f64 l Om))) (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 U U)) (cbrt.f64 (-.f64 U* U))) (.f64 (.f64 n (/.f64 l Om)) (cbrt.f64 (-.f64 U* U)))) (*.f64 2 l)))))

rewrite243.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

8.4b

Rules

35×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
32×	`add-sqr-sqrt_binary64_441`
27×	`associate-r_binary64_359`
21×	`pow1_binary64_480` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
20×	`times-frac_binary64_425`
17×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
10×	`pow-prod-down_binary64_490`
7×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*r/_binary64_361` `unswap-sqr_binary64_387`
3×	`sqrt-prod_binary64_435` `*-commutative_binary64_350`
2×	`sqrt-div_binary64_436` `div-inv_binary64_416`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `flip3-+_binary64_422` `flip-+_binary64_393` `rem-sqrt-square_binary64_432`

Counts

4 → 106

Calls

4 calls:

9.0ms	(.f64 (.f64 U 2) (*.f64 n (/.f64 l Om)))
8.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 2 t) (.f64 U n)) (.f64 (.f64 (.f64 U 2) (.f64 n (/.f64 l Om))) (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 U U)) (cbrt.f64 (-.f64 U* U))) (.f64 (.f64 n (/.f64 l Om)) (cbrt.f64 (-.f64 U* U)))) (*.f64 2 l)))))
8.0ms	(*.f64 n (/.f64 l Om))
7.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 5808 to 1791 computations (69.2% saved)

series1.5s (11.8%)

Error

8.4b

Counts

4 → 52

Calls

4 calls:

944.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 2 t) (.f64 U n)) (.f64 (.f64 (.f64 U 2) (.f64 n (/.f64 l Om))) (-.f64 (.f64 (.f64 (cbrt.f64 (-.f64 U U)) (cbrt.f64 (-.f64 U* U))) (.f64 (.f64 n (/.f64 l Om)) (cbrt.f64 (-.f64 U* U)))) (*.f64 2 l)))))
230.0ms	(.f64 (.f64 U 2) (*.f64 n (/.f64 l Om)))
123.0ms	(*.f64 n (/.f64 l Om))
113.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 7445 to 4857 computations (34.8% saved)

simplify215.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

436×	`associate-r_binary64_359`
423×	`associate-l_binary64_360`
353×	`distribute-rgt-neg-in_binary64_377`
320×	`cancel-sign-sub-inv_binary64_385`
211×	`*-commutative_binary64_350`
144×	`unswap-sqr_binary64_387`
137×	`times-frac_binary64_425`
133×	`associate-/l*_binary64_364`
121×	`associate-*r/_binary64_361`
104×	`distribute-neg-frac_binary64_383`
94×	`associate-*l/_binary64_362`
87×	`cube-prod_binary64_447`
81×	`swap-sqr_binary64_386` `associate-/r*_binary64_363`
73×	`neg-sub0_binary64_414` `sub-neg_binary64_412`
66×	`neg-mul-1_binary64_415` `sqr-pow_binary64_391`
58×	`distribute-lft-neg-out_binary64_378`
41×	`log-prod_binary64_505`
38×	`+-commutative_binary64_349`
37×	`exp-prod_binary64_471`
34×	`*-rgt-identity_binary64_409`
31×	`distribute-lft-neg-in_binary64_376`
23×	`*-lft-identity_binary64_408` `associate-/l/_binary64_366`
22×	`cube-div_binary64_448` `associate-/r/_binary64_365`
20×	`log-div_binary64_506`
19×	`pow-sqr_binary64_392`
18×	`distribute-neg-in_binary64_380`
17×	`distribute-rgt-neg-out_binary64_379`
14×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
13×	`unpow3_binary64_485`
12×	`pow-plus_binary64_482` `cube-mult_binary64_449`
11×	`associate-+l+_binary64_352`
10×	`cube-unmult_binary64_456` `mul-1-neg_binary64_411` `associate-+r+_binary64_351`
9×	`/-rgt-identity_binary64_410`
8×	`associate--r+_binary64_355`
7×	`unsub-neg_binary64_413`
5×	`exp-lft-sqr_binary64_474` `associate-+r-_binary64_353`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-rgt-out--_binary64_373`
3×	`associate-+l-_binary64_354`
2×	`log-rec_binary64_507` `rem-sqrt-square_binary64_432` `distribute-frac-neg_binary64_382` `distribute-lft-out--_binary64_371` `associate--l+_binary64_356`
1×	`prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `div-sub_binary64_424` `*-inverses_binary64_399` `difference-of-squares_binary64_388` `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` `log-pow_binary64_508` `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-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `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-cbrt-cube_binary64_443` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `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-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	4129
1	740	3768
2	3102	3426

Details

analyze2.3s (18.3%)

sample99.0ms (0.8%)

simplify143.0ms (1.1%)

prune14.0ms (0.1%)

localize18.0ms (0.1%)

rewrite197.0ms (1.6%)

series3.6s (28.7%)

simplify384.0ms (3%)

prune618.0ms (4.9%)

localize20.0ms (0.2%)

rewrite197.0ms (1.6%)

series1.7s (13.5%)

simplify338.0ms (2.7%)

prune982.0ms (7.8%)

localize27.0ms (0.2%)

rewrite243.0ms (1.9%)

series1.5s (11.8%)

simplify215.0ms (1.7%)

end0.0ms (0%)

Profiling