Details

Time bar (total: 1.1s)

analyze321.0ms (29.9%)

Algorithm
search
egg-herbie
Rules
578×distribute-neg-in_binary64_380
540×unswap-sqr_binary64_387
530×distribute-rgt-in_binary64_369
518×neg-mul-1_binary64_415
494×distribute-lft-in_binary64_368
350×unsub-neg_binary64_413
334×cancel-sign-sub-inv_binary64_385
272×*-commutative_binary64_350
246×associate-*l*_binary64_360
242×distribute-rgt-neg-in_binary64_377
205×distribute-lft-neg-in_binary64_376
168×associate-*r*_binary64_359
131×neg-sub0_binary64_414
90×sub-neg_binary64_412
78×associate--r+_binary64_355
70×difference-of-squares_binary64_388
64×cube-prod_binary64_447
57×distribute-lft-neg-out_binary64_378
54×distribute-rgt-neg-out_binary64_379 associate-+r+_binary64_351
38×remove-double-neg_binary64_407 swap-sqr_binary64_386
36×pow-plus_binary64_482
34×+-lft-identity_binary64_403 mul0-rgt_binary64_402 mul0-lft_binary64_401
30×sqr-pow_binary64_391
29×associate-+l+_binary64_352
24×distribute-neg-out_binary64_381 associate-+l-_binary64_354
22×+-commutative_binary64_349
18×associate-+r-_binary64_353
14×cube-unmult_binary64_456
12×unpow3_binary64_485 rem-sqrt-square_binary64_432 associate--l+_binary64_356
cube-mult_binary64_449 +-rgt-identity_binary64_404
sqr-neg_binary64_433 pow-sqr_binary64_392
unpow2_binary64_484 cube-neg_binary64_446 *-lft-identity_binary64_408 sub0-neg_binary64_406 distribute-rgt-out_binary64_372 distribute-lft-out_binary64_370 associate--r-_binary64_358 associate--l-_binary64_357
unpow1/2_binary64_483 unpow1_binary64_477 --rgt-identity_binary64_405 cancel-sign-sub_binary64_384
1-exp_binary64_463
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 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 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 div-sub_binary64_424 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 *-rgt-identity_binary64_409 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 distribute-neg-frac_binary64_383 distribute-frac-neg_binary64_382 distribute-rgt1-in_binary64_375 distribute-lft1-in_binary64_374 distribute-rgt-out--_binary64_373 distribute-lft-out--_binary64_371 count-2_binary64_367 associate-/l/_binary64_366 associate-/r/_binary64_365 associate-/l*_binary64_364 associate-/r*_binary64_363 associate-*l/_binary64_362 associate-*r/_binary64_361
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
11820
24720
39920
427720
5101920
6284620
7473820
8500620
022
122
Search
TrueOtherFalseIter
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
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
25%32.8%42.2%8
25%23.4%51.6%9
28.1%18%54%10
31.6%11.5%56.9%11
33.4%8.9%57.8%12
35.2%5.7%59.1%13
36.1%4.4%59.4%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (1.8%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify67.0ms (6.2%)

Algorithm
egg-herbie
Rules
715×neg-mul-1_binary64_415
643×distribute-rgt-neg-in_binary64_377
551×distribute-lft-neg-in_binary64_376
432×unswap-sqr_binary64_387
290×*-commutative_binary64_350
235×distribute-rgt-in_binary64_369
234×sub-neg_binary64_412
232×unsub-neg_binary64_413
219×distribute-lft-in_binary64_368
207×distribute-lft-neg-out_binary64_378
198×distribute-rgt-neg-out_binary64_379
172×neg-sub0_binary64_414
171×cancel-sign-sub_binary64_384
153×associate-*l*_binary64_360
147×cancel-sign-sub-inv_binary64_385
108×associate-*r*_binary64_359
86×distribute-neg-out_binary64_381
85×+-commutative_binary64_349
83×distribute-neg-in_binary64_380
70×associate--r+_binary64_355
66×associate-+l-_binary64_354
56×sqr-pow_binary64_391
53×cube-prod_binary64_447
52×sub0-neg_binary64_406
44×associate-+r+_binary64_351
43×difference-of-squares_binary64_388
42×pow-plus_binary64_482 associate--l+_binary64_356
40×associate-+r-_binary64_353
31×sqr-neg_binary64_433 associate-+l+_binary64_352
23×swap-sqr_binary64_386
22×--rgt-identity_binary64_405 mul0-rgt_binary64_402 mul0-lft_binary64_401
21×remove-double-neg_binary64_407
20×+-lft-identity_binary64_403
17×unpow3_binary64_485
16×+-rgt-identity_binary64_404 pow-sqr_binary64_392
15×cube-unmult_binary64_456
12×cube-mult_binary64_449
unpow2_binary64_484 distribute-rgt-out_binary64_372
rem-sqrt-square_binary64_432
unpow1_binary64_477 distribute-lft-out_binary64_370 associate--r-_binary64_358
unpow1/2_binary64_483
1-exp_binary64_463 *-lft-identity_binary64_408 distribute-rgt-out--_binary64_373 associate--l-_binary64_357
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 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 rem-square-sqrt_binary64_431 times-frac_binary64_425 div-sub_binary64_424 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 *-rgt-identity_binary64_409 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 distribute-neg-frac_binary64_383 distribute-frac-neg_binary64_382 distribute-rgt1-in_binary64_375 distribute-lft1-in_binary64_374 distribute-lft-out--_binary64_371 count-2_binary64_367 associate-/l/_binary64_366 associate-/r/_binary64_365 associate-/l*_binary64_364 associate-/r*_binary64_363 associate-*l/_binary64_362 associate-*r/_binary64_361
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
23510
37010
418610
561410
6150710
7264610
8463810
9513010

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.4%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.7%)

Algorithm
egg-herbie
Rules
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 1-exp_binary64_463 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 sqr-neg_binary64_433 rem-sqrt-square_binary64_432 rem-square-sqrt_binary64_431 times-frac_binary64_425 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 /-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 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 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 swap-sqr_binary64_386 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-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 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 count-2_binary64_367 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-*l*_binary64_360 associate-*r*_binary64_359 associate--r-_binary64_358 associate--l-_binary64_357 associate--l+_binary64_356 associate--r+_binary64_355 associate-+l-_binary64_354 associate-+r-_binary64_353 associate-+l+_binary64_352 associate-+r+_binary64_351 *-commutative_binary64_350 +-commutative_binary64_349
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_412 +-commutative_binary64_349
neg-mul-1_binary64_415 neg-sub0_binary64_414 *-commutative_binary64_350
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 unsub-neg_binary64_413 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)

IterNodesCost
0710
1910
21410
31610
41710
51710

end0.0ms (0%)

sample647.0ms (60.3%)

Algorithm
intervals
Results
345.0ms8000×body128valid
14.0ms349×body128invalid
Compiler

Compiled 22 to 24 computations (-9.1% saved)

Profiling

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