Details

Time bar (total: 1.9s)

analyze196.0ms (10.1%)

Algorithm
search
egg-herbie
Rules
675×div-sub_binary64_424
511×sub-neg_binary64_412
417×times-frac_binary64_425
411×associate-/l*_binary64_364
366×associate-/r*_binary64_363
345×associate-*l*_binary64_360
253×exp-prod_binary64_471
221×exp-sum_binary64_465
200×distribute-rgt-in_binary64_369
185×exp-diff_binary64_467
184×associate-/l/_binary64_366
173×associate-/r/_binary64_365
167×sqr-pow_binary64_391
153×associate-*l/_binary64_362
144×unsub-neg_binary64_413
142×distribute-lft-in_binary64_368
125×associate-*r/_binary64_361
113×*-commutative_binary64_350
87×associate-*r*_binary64_359
84×neg-mul-1_binary64_415
80×*-rgt-identity_binary64_409
74×*-lft-identity_binary64_408
67×neg-sub0_binary64_414
64×pow-sqr_binary64_392
47×distribute-rgt-neg-out_binary64_379
46×remove-double-div_binary64_395
42×/-rgt-identity_binary64_410
41×cancel-sign-sub-inv_binary64_385
36×distribute-neg-frac_binary64_383
35×cube-prod_binary64_447 rem-sqrt-square_binary64_432
29×distribute-rgt-neg-in_binary64_377
28×unswap-sqr_binary64_387
27×distribute-frac-neg_binary64_382
24×distribute-neg-in_binary64_380
21×distribute-lft-neg-out_binary64_378 distribute-lft-neg-in_binary64_376 associate--r+_binary64_355
20×cube-unmult_binary64_456
19×pow-plus_binary64_482
17×exp-lft-sqr_binary64_474
14×unpow3_binary64_485 exp-sqrt_binary64_472 mul0-rgt_binary64_402 mul0-lft_binary64_401
12×div0_binary64_400 associate-+r-_binary64_353
11×cube-div_binary64_448 remove-double-neg_binary64_407
10×associate-+r+_binary64_351
unpow1/2_binary64_483
+-commutative_binary64_349
cube-mult_binary64_449 sub0-neg_binary64_406 associate--l+_binary64_356
prod-exp_binary64_468 exp-neg_binary64_466 associate-+l-_binary64_354
associate-+l+_binary64_352
associate--r-_binary64_358 associate--l-_binary64_357
rec-exp_binary64_469 difference-of-sqr--1_binary64_390 distribute-lft1-in_binary64_374
unpow2_binary64_484 1-exp_binary64_463 exp-1-e_binary64_462 +-rgt-identity_binary64_404 +-lft-identity_binary64_403 swap-sqr_binary64_386 distribute-rgt1-in_binary64_375
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 unpow1_binary64_477 unpow-1_binary64_476 exp-lft-cube_binary64_475 exp-cbrt_binary64_473 div-exp_binary64_470 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 rem-square-sqrt_binary64_431 mul-1-neg_binary64_411 --rgt-identity_binary64_405 *-inverses_binary64_399 +-inverses_binary64_398 lft-mult-inverse_binary64_397 rgt-mult-inverse_binary64_396 difference-of-sqr-1_binary64_389 difference-of-squares_binary64_388 cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381 distribute-rgt-out--_binary64_373 distribute-rgt-out_binary64_372 distribute-lft-out--_binary64_371 distribute-lft-out_binary64_370 count-2_binary64_367
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1199
2459
3869
41809
53929
612289
733739
843289
950379
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50%0.4%49.6%10
50.2%0.2%49.6%11
50.2%0.1%49.7%12
50.2%0%49.8%13
50.2%0%49.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify63.0ms (3.3%)

Algorithm
egg-herbie
Rules
675×div-sub_binary64_424
511×sub-neg_binary64_412
417×times-frac_binary64_425
411×associate-/l*_binary64_364
366×associate-/r*_binary64_363
345×associate-*l*_binary64_360
253×exp-prod_binary64_471
221×exp-sum_binary64_465
200×distribute-rgt-in_binary64_369
185×exp-diff_binary64_467
184×associate-/l/_binary64_366
173×associate-/r/_binary64_365
167×sqr-pow_binary64_391
153×associate-*l/_binary64_362
144×unsub-neg_binary64_413
142×distribute-lft-in_binary64_368
125×associate-*r/_binary64_361
113×*-commutative_binary64_350
87×associate-*r*_binary64_359
84×neg-mul-1_binary64_415
80×*-rgt-identity_binary64_409
74×*-lft-identity_binary64_408
67×neg-sub0_binary64_414
64×pow-sqr_binary64_392
47×distribute-rgt-neg-out_binary64_379
46×remove-double-div_binary64_395
42×/-rgt-identity_binary64_410
41×cancel-sign-sub-inv_binary64_385
36×distribute-neg-frac_binary64_383
35×cube-prod_binary64_447 rem-sqrt-square_binary64_432
29×distribute-rgt-neg-in_binary64_377
28×unswap-sqr_binary64_387
27×distribute-frac-neg_binary64_382
24×distribute-neg-in_binary64_380
21×distribute-lft-neg-out_binary64_378 distribute-lft-neg-in_binary64_376 associate--r+_binary64_355
20×cube-unmult_binary64_456
19×pow-plus_binary64_482
17×exp-lft-sqr_binary64_474
14×unpow3_binary64_485 exp-sqrt_binary64_472 mul0-rgt_binary64_402 mul0-lft_binary64_401
12×div0_binary64_400 associate-+r-_binary64_353
11×cube-div_binary64_448 remove-double-neg_binary64_407
10×associate-+r+_binary64_351
unpow1/2_binary64_483
+-commutative_binary64_349
cube-mult_binary64_449 sub0-neg_binary64_406 associate--l+_binary64_356
prod-exp_binary64_468 exp-neg_binary64_466 associate-+l-_binary64_354
associate-+l+_binary64_352
associate--r-_binary64_358 associate--l-_binary64_357
rec-exp_binary64_469 difference-of-sqr--1_binary64_390 distribute-lft1-in_binary64_374
unpow2_binary64_484 1-exp_binary64_463 exp-1-e_binary64_462 +-rgt-identity_binary64_404 +-lft-identity_binary64_403 swap-sqr_binary64_386 distribute-rgt1-in_binary64_375
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 unpow1_binary64_477 unpow-1_binary64_476 exp-lft-cube_binary64_475 exp-cbrt_binary64_473 div-exp_binary64_470 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 rem-square-sqrt_binary64_431 mul-1-neg_binary64_411 --rgt-identity_binary64_405 *-inverses_binary64_399 +-inverses_binary64_398 lft-mult-inverse_binary64_397 rgt-mult-inverse_binary64_396 difference-of-sqr-1_binary64_389 difference-of-squares_binary64_388 cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381 distribute-rgt-out--_binary64_373 distribute-rgt-out_binary64_372 distribute-lft-out--_binary64_371 distribute-lft-out_binary64_370 count-2_binary64_367
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
1199
2459
3869
41809
53929
612289
733739
843289
950379

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite40.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419 add-log-exp_binary64_458
exp-prod_binary64_471 cancel-sign-sub-inv_binary64_385
add-cube-cbrt_binary64_454
difference-of-squares_binary64_388 exp-sum_binary64_465
pow1_binary64_480 difference-of-sqr-1_binary64_389 sub-neg_binary64_412 diff-log_binary64_511 rem-exp-log_binary64_459 add-exp-log_binary64_457 add-cbrt-cube_binary64_455
exp-diff_binary64_467 flip3--_binary64_423 flip--_binary64_394
Counts
2 → 37
Calls

2 calls:

6.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))
4.0ms
(-.f64 (*.f64 x x) 1)
Compiler

Compiled 433 to 269 computations (37.9% saved)

series88.0ms (4.6%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

49.0ms
(-.f64 (*.f64 x x) 1)
30.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 222 to 209 computations (5.9% saved)

simplify87.0ms (4.5%)

Algorithm
egg-herbie
Rules
603×distribute-rgt-in_binary64_369
564×distribute-lft-in_binary64_368
323×unswap-sqr_binary64_387
205×associate-*r*_binary64_359
203×associate-*l*_binary64_360
174×distribute-rgt-out_binary64_372
157×distribute-lft-out_binary64_370
139×exp-prod_binary64_471
119×associate-/l*_binary64_364
82×associate-*l/_binary64_362
81×log-prod_binary64_505
73×log-pow_binary64_508
61×*-commutative_binary64_350
60×sqr-pow_binary64_391 associate-*r/_binary64_361
52×exp-sum_binary64_465
43×associate-+l+_binary64_352
34×prod-exp_binary64_468
33×cube-prod_binary64_447
32×associate-+r+_binary64_351 +-commutative_binary64_349
30×cancel-sign-sub-inv_binary64_385
26×div-exp_binary64_470 sub-neg_binary64_412
25×unpow3_binary64_485
22×exp-diff_binary64_467
20×pow-sqr_binary64_392
18×distribute-rgt1-in_binary64_375
17×distribute-neg-in_binary64_380 associate-/r*_binary64_363
15×log-div_binary64_506 exp-to-pow_binary64_481
14×mul-1-neg_binary64_411
13×*-rgt-identity_binary64_409 distribute-rgt-neg-in_binary64_377
12×pow-plus_binary64_482 *-lft-identity_binary64_408 swap-sqr_binary64_386
11×distribute-lft-neg-out_binary64_378 distribute-lft1-in_binary64_374 associate-/l/_binary64_366
unsub-neg_binary64_413 distribute-lft-neg-in_binary64_376
neg-sub0_binary64_414 distribute-rgt-neg-out_binary64_379 associate-/r/_binary64_365
difference-of-sqr-1_binary64_389
cube-unmult_binary64_456 cube-mult_binary64_449 associate-+l-_binary64_354
neg-mul-1_binary64_415 difference-of-sqr--1_binary64_390 associate-+r-_binary64_353
cube-div_binary64_448 count-2_binary64_367 associate--r+_binary64_355
unpow1/2_binary64_483 exp-lft-sqr_binary64_474 rem-sqrt-square_binary64_432 div-sub_binary64_424
log-rec_binary64_507 exp-neg_binary64_466 distribute-frac-neg_binary64_382
log-E_binary64_509 unpow2_binary64_484 unpow1_binary64_477 1-exp_binary64_463 exp-1-e_binary64_462 rem-log-exp_binary64_460 rem-3cbrt-lft_binary64_444 associate--r-_binary64_358
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 pow-base-0_binary64_503 unpow1/3_binary64_486 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 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 sqr-neg_binary64_433 rem-square-sqrt_binary64_431 times-frac_binary64_425 /-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_399 +-inverses_binary64_398 lft-mult-inverse_binary64_397 rgt-mult-inverse_binary64_396 remove-double-div_binary64_395 difference-of-squares_binary64_388 cancel-sign-sub_binary64_384 distribute-neg-frac_binary64_383 distribute-neg-out_binary64_381 distribute-rgt-out--_binary64_373 distribute-lft-out--_binary64_371 associate--l-_binary64_357 associate--l+_binary64_356
Counts
49 → 39
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068497
1139459
2363447
31321442
44614442
54984442
64929442

prune31.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38139
Fresh000
Picked011
Done000
Total38240
Error
0b
Counts
40 → 2
Compiler

Compiled 384 to 228 computations (40.6% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(exp.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) 1))))
0.0b
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) 1)))

rewrite155.0ms (8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
57×*-un-lft-identity_binary64_419
32×times-frac_binary64_425
22×exp-prod_binary64_471
21×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
18×distribute-lft-out_binary64_370
add-exp-log_binary64_457 add-cbrt-cube_binary64_455 associate-/r/_binary64_365 associate-/l*_binary64_364 associate-/r*_binary64_363
add-log-exp_binary64_458 flip3-+_binary64_422 flip-+_binary64_393
pow1_binary64_480 div-inv_binary64_416 associate-/l/_binary64_366
div-exp_binary64_470 cbrt-undiv_binary64_453 frac-2neg_binary64_430 clear-num_binary64_418 rem-exp-log_binary64_459
Counts
2 → 70
Calls

2 calls:

15.0ms
(exp.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) 1))))
14.0ms
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 2148 to 1545 computations (28.1% saved)

series231.0ms (11.9%)

Error
0b
Counts
2 → 12
Calls

2 calls:

166.0ms
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) 1)))
55.0ms
(exp.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 282 to 257 computations (8.9% saved)

simplify183.0ms (9.4%)

Algorithm
egg-herbie
Rules
417×distribute-rgt-in_binary64_369
391×distribute-lft-in_binary64_368
347×div-sub_binary64_424
340×associate-*l*_binary64_360
293×associate-*r*_binary64_359
228×unswap-sqr_binary64_387
184×exp-prod_binary64_471
155×unsub-neg_binary64_413
138×sub-neg_binary64_412
134×associate-+l+_binary64_352
115×associate-+r+_binary64_351
102×associate-/l*_binary64_364
99×*-commutative_binary64_350
96×log-pow_binary64_508
90×times-frac_binary64_425
89×cube-prod_binary64_447
78×neg-mul-1_binary64_415
63×neg-sub0_binary64_414
62×exp-diff_binary64_467
54×sqr-pow_binary64_391
50×associate-/r*_binary64_363
48×exp-sum_binary64_465
46×cancel-sign-sub-inv_binary64_385
43×+-commutative_binary64_349
40×swap-sqr_binary64_386
35×associate-/l/_binary64_366
34×associate-*l/_binary64_362
30×*-lft-identity_binary64_408 difference-of-squares_binary64_388
29×associate-+l-_binary64_354
28×*-rgt-identity_binary64_409 associate--r+_binary64_355
27×unpow3_binary64_485 associate-*r/_binary64_361
24×log-prod_binary64_505
21×cube-mult_binary64_449 cube-div_binary64_448 distribute-rgt-neg-in_binary64_377
20×pow-plus_binary64_482 distribute-lft-neg-out_binary64_378
19×distribute-neg-in_binary64_380 distribute-rgt-out_binary64_372 associate-/r/_binary64_365
18×associate-+r-_binary64_353
17×log-div_binary64_506 cube-unmult_binary64_456 distribute-rgt-neg-out_binary64_379
16×distribute-lft-neg-in_binary64_376
15×mul-1-neg_binary64_411 /-rgt-identity_binary64_410
14×distribute-lft-out_binary64_370
10×prod-exp_binary64_468 div0_binary64_400
sub0-neg_binary64_406 pow-sqr_binary64_392
+-rgt-identity_binary64_404 distribute-frac-neg_binary64_382 distribute-rgt1-in_binary64_375
sqr-neg_binary64_433 difference-of-sqr--1_binary64_390
difference-of-sqr-1_binary64_389 associate--l-_binary64_357 associate--l+_binary64_356
exp-to-pow_binary64_481 cube-neg_binary64_446 distribute-rgt-out--_binary64_373
log-rec_binary64_507 exp-neg_binary64_466 rem-log-exp_binary64_460 distribute-neg-frac_binary64_383 associate--r-_binary64_358
unpow1/2_binary64_483 remove-double-neg_binary64_407 --rgt-identity_binary64_405 mul0-rgt_binary64_402 mul0-lft_binary64_401 distribute-lft1-in_binary64_374 distribute-lft-out--_binary64_371
log-E_binary64_509 unpow2_binary64_484 unpow1_binary64_477 exp-lft-sqr_binary64_474 div-exp_binary64_470 1-exp_binary64_463 exp-1-e_binary64_462 rem-sqrt-square_binary64_432 remove-double-div_binary64_395 count-2_binary64_367
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 pow-base-0_binary64_503 unpow1/3_binary64_486 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 rec-exp_binary64_469 e-exp-1_binary64_464 exp-0_binary64_461 rem-exp-log_binary64_459 rem-3cbrt-rft_binary64_445 rem-3cbrt-lft_binary64_444 rem-cbrt-cube_binary64_443 rem-cube-cbrt_binary64_442 sqr-abs_binary64_434 rem-square-sqrt_binary64_431 +-lft-identity_binary64_403 *-inverses_binary64_399 +-inverses_binary64_398 lft-mult-inverse_binary64_397 rgt-mult-inverse_binary64_396 cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381
Counts
82 → 74
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01172317
12732168
27942152
330922152
445412152
549522152
649972152
749342152

prune115.0ms (5.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh000
Picked011
Done011
Total74276
Error
0b
Counts
76 → 2
Compiler

Compiled 1987 to 1405 computations (29.3% saved)

regimes112.0ms (5.8%)

Accuracy

Total 0.0b remaining (82.8%)

Threshold costs 0.0b (82.8%)

Compiler

Compiled 683 to 587 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_349
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 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 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 *-commutative_binary64_350
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01424
11924
21824

end0.0ms (0%)

sample602.0ms (31.1%)

Algorithm
intervals
Results
239.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 128 to 110 computations (14.1% saved)

Profiling

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