Time bar (total: 7.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 37.5% | 12.6% | 7 |
| 56.2% | 31.2% | 12.6% | 8 |
| 62.4% | 18.7% | 18.8% | 9 |
| 65.6% | 15.6% | 18.8% | 10 |
| 68.7% | 9.4% | 22% | 11 |
| 70.2% | 7.8% | 22% | 12 |
| 71.8% | 4.7% | 23.5% | 13 |
| 72.6% | 3.9% | 23.5% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 5.0ms | 256× | body | 128 | valid |
| 0.0ms | 5× | body | 128 | invalid |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
| 720× | times-frac_binary64_425 |
| 540× | exp-prod_binary64_471 |
| 361× | swap-sqr_binary64_386 |
| 330× | unsub-neg_binary64_413 |
| 309× | associate-/l*_binary64_364 |
| 219× | distribute-rgt1-in_binary64_375 |
| 216× | distribute-rgt-in_binary64_369 |
| 191× | distribute-lft-neg-in_binary64_376 |
| 173× | distribute-rgt-neg-out_binary64_379 |
| 172× | distribute-rgt-neg-in_binary64_377 |
| 136× | exp-sum_binary64_465 |
| 134× | distribute-lft-neg-out_binary64_378 |
| 108× | neg-mul-1_binary64_415 |
| 100× | neg-sub0_binary64_414 |
| 92× | distribute-neg-in_binary64_380 |
| 79× | sqr-pow_binary64_391 associate-*r*_binary64_359 |
| 76× | distribute-neg-out_binary64_381 |
| 69× | distribute-lft-in_binary64_368 |
| 64× | sqr-neg_binary64_433 |
| 62× | associate-*l*_binary64_360 |
| 56× | pow-plus_binary64_482 exp-neg_binary64_466 |
| 55× | exp-diff_binary64_467 |
| 51× | pow-sqr_binary64_392 |
| 47× | remove-double-neg_binary64_407 |
| 45× | *-commutative_binary64_350 |
| 38× | associate-+l-_binary64_354 |
| 27× | distribute-rgt-out_binary64_372 associate--r+_binary64_355 |
| 26× | sub-neg_binary64_412 |
| 21× | distribute-lft1-in_binary64_374 |
| 16× | exp-lft-sqr_binary64_474 |
| 14× | mul0-rgt_binary64_402 mul0-lft_binary64_401 |
| 13× | div-sub_binary64_424 associate-+r+_binary64_351 |
| 11× | associate-+l+_binary64_352 |
| 10× | *-rgt-identity_binary64_409 cancel-sign-sub-inv_binary64_385 |
| 9× | sub0-neg_binary64_406 +-commutative_binary64_349 |
| 8× | *-lft-identity_binary64_408 |
| 7× | cube-prod_binary64_447 distribute-rgt-out--_binary64_373 associate-+r-_binary64_353 |
| 5× | pow-base-1_binary64_479 distribute-frac-neg_binary64_382 |
| 4× | cube-unmult_binary64_456 |
| 3× | +-rgt-identity_binary64_404 count-2_binary64_367 |
| 2× | associate--r-_binary64_358 associate--l+_binary64_356 |
| 1× | prod-exp_binary64_468 1-exp_binary64_463 exp-1-e_binary64_462 cube-neg_binary64_446 mul-1-neg_binary64_411 --rgt-identity_binary64_405 div0_binary64_400 unswap-sqr_binary64_387 distribute-neg-frac_binary64_383 |
| 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 exp-sqrt_binary64_472 div-exp_binary64_470 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-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-sqrt-square_binary64_432 rem-square-sqrt_binary64_431 /-rgt-identity_binary64_410 +-lft-identity_binary64_403 *-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 difference-of-squares_binary64_388 cancel-sign-sub_binary64_384 distribute-lft-out--_binary64_371 distribute-lft-out_binary64_370 associate-/l/_binary64_366 associate-/r/_binary64_365 associate-/r*_binary64_363 associate-*l/_binary64_362 associate-*r/_binary64_361 associate--l-_binary64_357 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 15 | 10 |
| 2 | 37 | 10 |
| 3 | 67 | 10 |
| 4 | 138 | 10 |
| 5 | 236 | 10 |
| 6 | 496 | 10 |
| 7 | 1285 | 10 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
Compiled 42 to 29 computations (31% saved)
Found 1 expressions with local error:
| 0.1b | (*.f64 (*.f64 x y) (-.f64 1 y)) |
| 1× | rewrite-expression-head |
| 7× | add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419 |
| 6× | pow1_binary64_480 add-exp-log_binary64_457 add-cbrt-cube_binary64_455 cancel-sign-sub-inv_binary64_385 associate-*r*_binary64_359 |
| 4× | add-cube-cbrt_binary64_454 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 |
| 3× | pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 |
| 2× | sub-neg_binary64_412 associate-*r/_binary64_361 difference-of-squares_binary64_388 |
| 1× | add-log-exp_binary64_458 flip3--_binary64_423 flip--_binary64_394 associate-*l*_binary64_360 distribute-lft-out--_binary64_371 *-commutative_binary64_350 |
1 calls:
| 8.0ms | (*.f64 (*.f64 x y) (-.f64 1 y)) |
Compiled 441 to 229 computations (48.1% saved)
1 calls:
| 153.0ms | (*.f64 (*.f64 x y) (-.f64 1 y)) |
Compiled 178 to 132 computations (25.8% saved)
| 1× | egg-herbie |
| 438× | associate-+l+_binary64_352 |
| 239× | *-commutative_binary64_350 |
| 226× | unsub-neg_binary64_413 |
| 222× | times-frac_binary64_425 |
| 218× | distribute-rgt-neg-out_binary64_379 |
| 211× | distribute-rgt-in_binary64_369 |
| 209× | distribute-lft-neg-out_binary64_378 |
| 193× | distribute-lft-in_binary64_368 |
| 173× | associate-*l*_binary64_360 |
| 161× | unswap-sqr_binary64_387 |
| 127× | associate-*r*_binary64_359 |
| 118× | exp-prod_binary64_471 |
| 109× | associate-/l*_binary64_364 |
| 105× | associate-/r*_binary64_363 |
| 84× | associate-/r/_binary64_365 |
| 74× | sqr-pow_binary64_391 |
| 73× | associate-+l-_binary64_354 |
| 68× | distribute-rgt-out_binary64_372 |
| 59× | distribute-rgt-neg-in_binary64_377 |
| 55× | distribute-lft-neg-in_binary64_376 |
| 54× | neg-sub0_binary64_414 |
| 52× | associate-+r-_binary64_353 |
| 50× | neg-mul-1_binary64_415 |
| 48× | log-prod_binary64_505 |
| 44× | swap-sqr_binary64_386 |
| 43× | associate-*l/_binary64_362 |
| 39× | exp-sum_binary64_465 |
| 38× | sub-neg_binary64_412 *-lft-identity_binary64_408 associate-*r/_binary64_361 |
| 35× | cancel-sign-sub-inv_binary64_385 |
| 34× | *-rgt-identity_binary64_409 |
| 33× | pow-sqr_binary64_392 |
| 32× | cube-prod_binary64_447 |
| 30× | difference-of-squares_binary64_388 |
| 24× | pow-plus_binary64_482 |
| 21× | exp-sqrt_binary64_472 |
| 20× | associate--l-_binary64_357 +-commutative_binary64_349 |
| 19× | associate-/l/_binary64_366 |
| 17× | log-pow_binary64_508 exp-diff_binary64_467 mul0-rgt_binary64_402 mul0-lft_binary64_401 distribute-neg-frac_binary64_383 distribute-rgt-out--_binary64_373 |
| 16× | log-div_binary64_506 cube-div_binary64_448 |
| 9× | exp-neg_binary64_466 |
| 8× | difference-of-sqr-1_binary64_389 associate--r+_binary64_355 |
| 7× | div-sub_binary64_424 |
| 6× | unpow3_binary64_485 pow-base-1_binary64_479 cube-unmult_binary64_456 distribute-neg-in_binary64_380 |
| 5× | cube-mult_binary64_449 sub0-neg_binary64_406 distribute-rgt1-in_binary64_375 |
| 4× | prod-exp_binary64_468 distribute-neg-out_binary64_381 distribute-lft-out_binary64_370 associate--l+_binary64_356 associate-+r+_binary64_351 |
| 3× | rem-sqrt-square_binary64_432 +-rgt-identity_binary64_404 count-2_binary64_367 |
| 1× | unpow2_binary64_484 unpow1_binary64_477 exp-lft-sqr_binary64_474 1-exp_binary64_463 exp-1-e_binary64_462 rem-log-exp_binary64_460 rem-3cbrt-lft_binary64_444 sqr-neg_binary64_433 rem-square-sqrt_binary64_431 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 *-inverses_binary64_399 distribute-lft1-in_binary64_374 distribute-lft-out--_binary64_371 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_682 erf-erfc_binary64_681 erf-odd_binary64_680 if-if-and-not_binary64_679 if-if-and_binary64_678 if-if-or-not_binary64_677 if-if-or_binary64_676 if-not_binary64_675 if-same_binary64_674 if-false_binary64_673 if-true_binary64_672 not-gte_binary64_671 not-lte_binary64_670 not-gt_binary64_669 not-lt_binary64_668 gte-same_binary64_667 lte-same_binary64_666 gt-same_binary64_665 lt-same_binary64_664 sinh---cosh_binary64_611 sinh-+-cosh_binary64_610 sinh-cosh_binary64_609 tanh-def-c_binary64_608 tanh-def-b_binary64_607 tanh-def-a_binary64_606 cosh-def_binary64_605 sinh-def_binary64_604 tan-neg_binary64_551 cos-neg_binary64_550 sin-neg_binary64_549 tan-0_binary64_548 cos-0_binary64_547 sin-0_binary64_546 hang-m-tan_binary64_545 hang-p-tan_binary64_544 hang-m0-tan_binary64_543 hang-p0-tan_binary64_542 hang-0m-tan_binary64_541 hang-0p-tan_binary64_540 tan-+PI/2_binary64_539 tan-+PI_binary64_538 tan-PI_binary64_537 tan-PI/3_binary64_536 tan-PI/4_binary64_535 tan-PI/6_binary64_534 cos-+PI/2_binary64_533 cos-+PI_binary64_532 cos-PI_binary64_531 cos-PI/2_binary64_530 cos-PI/3_binary64_529 cos-PI/4_binary64_528 cos-PI/6_binary64_527 sin-+PI/2_binary64_526 sin-+PI_binary64_525 sin-PI_binary64_524 sin-PI/2_binary64_523 sin-PI/3_binary64_522 sin-PI/4_binary64_521 sin-PI/6_binary64_520 sub-1-sin_binary64_519 sub-1-cos_binary64_518 -1-add-sin_binary64_517 -1-add-cos_binary64_516 1-sub-sin_binary64_515 1-sub-cos_binary64_514 cos-sin-sum_binary64_513 log-E_binary64_509 log-rec_binary64_507 pow-base-0_binary64_503 unpow1/3_binary64_486 unpow1/2_binary64_483 exp-to-pow_binary64_481 unpow0_binary64_478 unpow-1_binary64_476 exp-lft-cube_binary64_475 exp-cbrt_binary64_473 div-exp_binary64_470 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 remove-double-neg_binary64_407 --rgt-identity_binary64_405 +-lft-identity_binary64_403 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 cancel-sign-sub_binary64_384 distribute-frac-neg_binary64_382 associate--r-_binary64_358 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 517 |
| 1 | 236 | 453 |
| 2 | 749 | 451 |
| 3 | 1807 | 451 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 4 | 164 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 161 | 6 | 167 |
Compiled 2342 to 1084 computations (53.7% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y)))) |
| 9.9b | (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) |
| 9.9b | (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) |
| 9.9b | (cbrt.f64 (*.f64 y (*.f64 (-.f64 1 y) x))) |
| 1× | rewrite-expression-head |
| 20× | associate-*r/_binary64_361 |
| 18× | cbrt-div_binary64_451 |
| 11× | pow1_binary64_480 |
| 10× | add-sqr-sqrt_binary64_441 |
| 9× | pow1/3_binary64_501 flip3--_binary64_423 flip--_binary64_394 |
| 8× | add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419 |
| 7× | cbrt-prod_binary64_450 |
| 6× | add-exp-log_binary64_457 |
| 4× | add-log-exp_binary64_458 add-cbrt-cube_binary64_455 associate-*l/_binary64_362 frac-times_binary64_429 swap-sqr_binary64_386 associate-*l*_binary64_360 associate-*r*_binary64_359 |
| 2× | pow-prod-down_binary64_490 pow-prod-up_binary64_489 pow-sqr_binary64_392 |
| 1× | pow2_binary64_500 pow-plus_binary64_482 prod-exp_binary64_468 cbrt-unprod_binary64_452 unswap-sqr_binary64_387 *-commutative_binary64_350 |
4 calls:
| 7.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y)))) |
| 6.0ms | (cbrt.f64 (*.f64 y (*.f64 (-.f64 1 y) x))) |
| 6.0ms | (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) |
| 6.0ms | (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) |
Compiled 2525 to 1542 computations (38.9% saved)
4 calls:
| 564.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y)))) |
| 383.0ms | (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) |
| 365.0ms | (cbrt.f64 (*.f64 y (*.f64 (-.f64 1 y) x))) |
| 359.0ms | (cbrt.f64 (*.f64 (*.f64 x y) (-.f64 1 y))) |
Compiled 5394 to 4113 computations (23.7% saved)
| 1× | egg-herbie |
| 552× | times-frac_binary64_425 |
| 241× | associate-/r*_binary64_363 |
| 236× | *-commutative_binary64_350 |
| 223× | distribute-rgt-in_binary64_369 |
| 215× | associate-/l*_binary64_364 |
| 185× | distribute-lft-in_binary64_368 |
| 181× | cancel-sign-sub-inv_binary64_385 |
| 158× | associate-*l/_binary64_362 |
| 150× | distribute-rgt-neg-in_binary64_377 |
| 136× | associate-*r*_binary64_359 |
| 132× | log-prod_binary64_505 |
| 122× | associate-*l*_binary64_360 |
| 119× | distribute-lft-neg-in_binary64_376 |
| 109× | associate-*r/_binary64_361 |
| 91× | associate-/r/_binary64_365 |
| 80× | sub-neg_binary64_412 |
| 75× | log-div_binary64_506 |
| 68× | neg-mul-1_binary64_415 |
| 67× | neg-sub0_binary64_414 |
| 64× | sqr-pow_binary64_391 |
| 63× | exp-prod_binary64_471 |
| 61× | exp-sum_binary64_465 distribute-lft-neg-out_binary64_378 |
| 60× | distribute-neg-frac_binary64_383 |
| 57× | associate-+l+_binary64_352 |
| 55× | +-commutative_binary64_349 |
| 50× | unswap-sqr_binary64_387 |
| 46× | associate-+l-_binary64_354 |
| 43× | associate-+r-_binary64_353 |
| 37× | unsub-neg_binary64_413 associate--r+_binary64_355 |
| 33× | distribute-rgt-out_binary64_372 associate--l+_binary64_356 |
| 32× | associate-+r+_binary64_351 |
| 30× | associate-/l/_binary64_366 |
| 27× | *-rgt-identity_binary64_409 distribute-rgt-neg-out_binary64_379 |
| 26× | log-pow_binary64_508 |
| 24× | pow-plus_binary64_482 distribute-neg-in_binary64_380 |
| 23× | *-lft-identity_binary64_408 |
| 22× | unpow1/3_binary64_486 pow-sqr_binary64_392 |
| 21× | swap-sqr_binary64_386 |
| 16× | /-rgt-identity_binary64_410 |
| 11× | cube-prod_binary64_447 distribute-lft-out_binary64_370 |
| 10× | distribute-neg-out_binary64_381 |
| 8× | exp-to-pow_binary64_481 exp-diff_binary64_467 div-sub_binary64_424 |
| 7× | log-rec_binary64_507 distribute-rgt-out--_binary64_373 |
| 6× | unpow3_binary64_485 cube-unmult_binary64_456 distribute-rgt1-in_binary64_375 associate--r-_binary64_358 associate--l-_binary64_357 |
| 5× | unpow2_binary64_484 prod-exp_binary64_468 difference-of-squares_binary64_388 count-2_binary64_367 |
| 4× | unpow1_binary64_477 div-exp_binary64_470 rem-sqrt-square_binary64_432 remove-double-neg_binary64_407 |
| 3× | pow-base-1_binary64_479 cube-div_binary64_448 rem-3cbrt-lft_binary64_444 |
| 2× | exp-lft-sqr_binary64_474 exp-sqrt_binary64_472 cube-mult_binary64_449 cancel-sign-sub_binary64_384 distribute-lft-out--_binary64_371 |
| 1× | 1-exp_binary64_463 exp-1-e_binary64_462 rem-log-exp_binary64_460 rem-3cbrt-rft_binary64_445 rem-square-sqrt_binary64_431 mul-1-neg_binary64_411 *-inverses_binary64_399 distribute-lft1-in_binary64_374 |
| 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 pow-base-0_binary64_503 unpow1/2_binary64_483 unpow0_binary64_478 unpow-1_binary64_476 exp-lft-cube_binary64_475 exp-cbrt_binary64_473 rec-exp_binary64_469 exp-neg_binary64_466 e-exp-1_binary64_464 exp-0_binary64_461 rem-exp-log_binary64_459 cube-neg_binary64_446 rem-cbrt-cube_binary64_443 rem-cube-cbrt_binary64_442 sqr-abs_binary64_434 sqr-neg_binary64_433 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 distribute-frac-neg_binary64_382 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 3740 |
| 1 | 506 | 3573 |
| 2 | 1632 | 3042 |
| 3 | 4808 | 2989 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 369 | 0 | 369 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 369 | 6 | 375 |
Compiled 14496 to 9327 computations (35.7% saved)
Found 2 expressions with local error:
| 0.0b | (-.f64 y (*.f64 y y)) |
| 4.5b | (*.f64 x (-.f64 y (*.f64 y y))) |
| 1× | rewrite-expression-head |
| 8× | add-sqr-sqrt_binary64_441 |
| 6× | *-un-lft-identity_binary64_419 |
| 5× | associate-*r*_binary64_359 |
| 4× | pow1_binary64_480 add-exp-log_binary64_457 add-log-exp_binary64_458 add-cbrt-cube_binary64_455 add-cube-cbrt_binary64_454 |
| 3× | sub-neg_binary64_412 cancel-sign-sub-inv_binary64_385 associate-*l*_binary64_360 |
| 2× | distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 flip3--_binary64_423 associate-*r/_binary64_361 flip--_binary64_394 difference-of-squares_binary64_388 distribute-rgt-out--_binary64_373 |
| 1× | pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 unswap-sqr_binary64_387 *-commutative_binary64_350 diff-log_binary64_511 |
2 calls:
| 6.0ms | (*.f64 x (-.f64 y (*.f64 y y))) |
| 3.0ms | (-.f64 y (*.f64 y y)) |
Compiled 543 to 132 computations (75.7% saved)
2 calls:
| 149.0ms | (*.f64 x (-.f64 y (*.f64 y y))) |
| 52.0ms | (-.f64 y (*.f64 y y)) |
Compiled 275 to 207 computations (24.7% saved)
| 1× | egg-herbie |
| 802× | associate-*l/_binary64_362 |
| 788× | associate-*r/_binary64_361 |
| 171× | times-frac_binary64_425 |
| 158× | distribute-rgt-in_binary64_369 |
| 149× | distribute-lft-in_binary64_368 |
| 106× | distribute-lft-neg-out_binary64_378 |
| 104× | distribute-rgt-neg-out_binary64_379 |
| 100× | *-commutative_binary64_350 |
| 96× | unswap-sqr_binary64_387 |
| 94× | associate-/r*_binary64_363 |
| 90× | sqr-pow_binary64_391 |
| 82× | exp-prod_binary64_471 |
| 80× | associate-/l*_binary64_364 |
| 78× | associate-*l*_binary64_360 |
| 75× | associate-/r/_binary64_365 |
| 73× | unsub-neg_binary64_413 |
| 72× | cancel-sign-sub-inv_binary64_385 |
| 70× | distribute-rgt-neg-in_binary64_377 |
| 68× | associate-*r*_binary64_359 |
| 63× | distribute-lft-neg-in_binary64_376 |
| 52× | distribute-rgt-out_binary64_372 |
| 51× | difference-of-squares_binary64_388 |
| 48× | sub-neg_binary64_412 |
| 41× | neg-sub0_binary64_414 |
| 40× | neg-mul-1_binary64_415 swap-sqr_binary64_386 |
| 31× | log-prod_binary64_505 exp-sum_binary64_465 *-rgt-identity_binary64_409 pow-sqr_binary64_392 |
| 30× | cube-prod_binary64_447 *-lft-identity_binary64_408 |
| 28× | distribute-rgt-out--_binary64_373 |
| 27× | distribute-rgt1-in_binary64_375 +-commutative_binary64_349 |
| 26× | exp-sqrt_binary64_472 |
| 23× | associate-/l/_binary64_366 |
| 20× | pow-plus_binary64_482 |
| 14× | exp-diff_binary64_467 |
| 13× | cube-div_binary64_448 mul0-rgt_binary64_402 mul0-lft_binary64_401 |
| 12× | log-div_binary64_506 distribute-neg-frac_binary64_383 |
| 8× | unpow3_binary64_485 associate-+r-_binary64_353 associate-+l+_binary64_352 |
| 7× | cube-unmult_binary64_456 sub0-neg_binary64_406 distribute-lft-out_binary64_370 associate-+l-_binary64_354 |
| 6× | div-sub_binary64_424 +-rgt-identity_binary64_404 associate-+r+_binary64_351 |
| 5× | distribute-lft1-in_binary64_374 |
| 4× | cube-mult_binary64_449 distribute-neg-in_binary64_380 |
| 3× | distribute-lft-out--_binary64_371 |
| 2× | log-pow_binary64_508 sqr-neg_binary64_433 difference-of-sqr-1_binary64_389 count-2_binary64_367 |
| 1× | unpow2_binary64_484 unpow1_binary64_477 exp-lft-sqr_binary64_474 div-exp_binary64_470 prod-exp_binary64_468 1-exp_binary64_463 exp-1-e_binary64_462 rem-log-exp_binary64_460 rem-sqrt-square_binary64_432 mul-1-neg_binary64_411 *-inverses_binary64_399 rgt-mult-inverse_binary64_396 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_682 erf-erfc_binary64_681 erf-odd_binary64_680 if-if-and-not_binary64_679 if-if-and_binary64_678 if-if-or-not_binary64_677 if-if-or_binary64_676 if-not_binary64_675 if-same_binary64_674 if-false_binary64_673 if-true_binary64_672 not-gte_binary64_671 not-lte_binary64_670 not-gt_binary64_669 not-lt_binary64_668 gte-same_binary64_667 lte-same_binary64_666 gt-same_binary64_665 lt-same_binary64_664 sinh---cosh_binary64_611 sinh-+-cosh_binary64_610 sinh-cosh_binary64_609 tanh-def-c_binary64_608 tanh-def-b_binary64_607 tanh-def-a_binary64_606 cosh-def_binary64_605 sinh-def_binary64_604 tan-neg_binary64_551 cos-neg_binary64_550 sin-neg_binary64_549 tan-0_binary64_548 cos-0_binary64_547 sin-0_binary64_546 hang-m-tan_binary64_545 hang-p-tan_binary64_544 hang-m0-tan_binary64_543 hang-p0-tan_binary64_542 hang-0m-tan_binary64_541 hang-0p-tan_binary64_540 tan-+PI/2_binary64_539 tan-+PI_binary64_538 tan-PI_binary64_537 tan-PI/3_binary64_536 tan-PI/4_binary64_535 tan-PI/6_binary64_534 cos-+PI/2_binary64_533 cos-+PI_binary64_532 cos-PI_binary64_531 cos-PI/2_binary64_530 cos-PI/3_binary64_529 cos-PI/4_binary64_528 cos-PI/6_binary64_527 sin-+PI/2_binary64_526 sin-+PI_binary64_525 sin-PI_binary64_524 sin-PI/2_binary64_523 sin-PI/3_binary64_522 sin-PI/4_binary64_521 sin-PI/6_binary64_520 sub-1-sin_binary64_519 sub-1-cos_binary64_518 -1-add-sin_binary64_517 -1-add-cos_binary64_516 1-sub-sin_binary64_515 1-sub-cos_binary64_514 cos-sin-sum_binary64_513 log-E_binary64_509 log-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 unpow-1_binary64_476 exp-lft-cube_binary64_475 exp-cbrt_binary64_473 rec-exp_binary64_469 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 rem-square-sqrt_binary64_431 /-rgt-identity_binary64_410 remove-double-neg_binary64_407 --rgt-identity_binary64_405 +-lft-identity_binary64_403 div0_binary64_400 +-inverses_binary64_398 lft-mult-inverse_binary64_397 remove-double-div_binary64_395 difference-of-sqr--1_binary64_390 cancel-sign-sub_binary64_384 distribute-frac-neg_binary64_382 distribute-neg-out_binary64_381 associate--r-_binary64_358 associate--l-_binary64_357 associate--l+_binary64_356 associate--r+_binary64_355 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 666 |
| 1 | 155 | 600 |
| 2 | 550 | 600 |
| 3 | 1460 | 600 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 0 | 108 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 108 | 6 | 114 |
Compiled 1408 to 463 computations (67.1% saved)
Found 4 expressions with local error:
| 0.0b | (sqrt.f64 (-.f64 1 y)) |
| 0.0b | (sqrt.f64 (-.f64 1 y)) |
| 0.1b | (*.f64 (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y))) |
| 0.1b | (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 1 y))) |
| 1× | rewrite-expression-head |
| 24× | add-sqr-sqrt_binary64_441 sqrt-prod_binary64_435 |
| 22× | *-un-lft-identity_binary64_419 |
| 20× | pow1_binary64_480 |
| 18× | add-exp-log_binary64_457 add-cbrt-cube_binary64_455 sqrt-div_binary64_436 associate-*r*_binary64_359 |
| 10× | add-cube-cbrt_binary64_454 associate-*r/_binary64_361 |
| 9× | pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 flip3--_binary64_423 flip--_binary64_394 |
| 8× | difference-of-squares_binary64_388 |
| 4× | add-log-exp_binary64_458 distribute-lft-out--_binary64_371 frac-times_binary64_429 |
| 2× | associate-*l*_binary64_360 *-commutative_binary64_350 associate-*l/_binary64_362 pow1/2_binary64_499 sqrt-pow1_binary64_437 rem-sqrt-square_binary64_432 |
4 calls:
| 15.0ms | (*.f64 (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y))) |
| 10.0ms | (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 1 y))) |
| 3.0ms | (sqrt.f64 (-.f64 1 y)) |
| 3.0ms | (sqrt.f64 (-.f64 1 y)) |
Compiled 2088 to 1399 computations (33% saved)
4 calls:
| 139.0ms | (*.f64 (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y))) |
| 129.0ms | (*.f64 (*.f64 y x) (sqrt.f64 (-.f64 1 y))) |
| 25.0ms | (sqrt.f64 (-.f64 1 y)) |
| 25.0ms | (sqrt.f64 (-.f64 1 y)) |
Compiled 943 to 707 computations (25% saved)
| 1× | egg-herbie |
| 372× | times-frac_binary64_425 |
| 370× | associate-*l*_binary64_360 |
| 258× | cancel-sign-sub-inv_binary64_385 |
| 238× | associate-*r*_binary64_359 |
| 185× | distribute-rgt-in_binary64_369 |
| 159× | distribute-lft-in_binary64_368 |
| 135× | distribute-rgt-neg-in_binary64_377 |
| 121× | distribute-lft-neg-out_binary64_378 |
| 114× | sub-neg_binary64_412 |
| 112× | unswap-sqr_binary64_387 distribute-lft-neg-in_binary64_376 |
| 107× | distribute-rgt-neg-out_binary64_379 |
| 104× | sqr-pow_binary64_391 |
| 103× | exp-prod_binary64_471 |
| 94× | *-commutative_binary64_350 |
| 83× | distribute-rgt-out_binary64_372 |
| 81× | associate-*l/_binary64_362 |
| 65× | log-prod_binary64_505 |
| 62× | swap-sqr_binary64_386 distribute-lft-out_binary64_370 |
| 61× | associate-*r/_binary64_361 |
| 55× | neg-sub0_binary64_414 |
| 54× | neg-mul-1_binary64_415 |
| 50× | cube-prod_binary64_447 |
| 48× | *-lft-identity_binary64_408 |
| 47× | distribute-lft-out--_binary64_371 |
| 42× | *-rgt-identity_binary64_409 |
| 35× | distribute-rgt-out--_binary64_373 |
| 34× | pow-sqr_binary64_392 |
| 33× | +-commutative_binary64_349 |
| 32× | unsub-neg_binary64_413 |
| 29× | associate-+l+_binary64_352 |
| 27× | exp-sqrt_binary64_472 |
| 24× | log-div_binary64_506 cube-div_binary64_448 distribute-neg-frac_binary64_383 |
| 21× | distribute-rgt1-in_binary64_375 |
| 20× | pow-plus_binary64_482 |
| 18× | associate-+l-_binary64_354 |
| 17× | associate--r+_binary64_355 |
| 16× | log-pow_binary64_508 |
| 15× | sub0-neg_binary64_406 associate-+r+_binary64_351 |
| 14× | exp-sum_binary64_465 distribute-neg-in_binary64_380 associate-+r-_binary64_353 |
| 13× | rem-sqrt-square_binary64_432 |
| 12× | exp-diff_binary64_467 |
| 10× | difference-of-squares_binary64_388 |
| 9× | unpow3_binary64_485 cube-mult_binary64_449 |
| 7× | associate--l+_binary64_356 |
| 6× | pow-base-1_binary64_479 cube-unmult_binary64_456 div-sub_binary64_424 +-rgt-identity_binary64_404 |
| 5× | rem-square-sqrt_binary64_431 |
| 4× | prod-exp_binary64_468 difference-of-sqr-1_binary64_389 |
| 3× | cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381 |
| 2× | count-2_binary64_367 associate-/l/_binary64_366 associate-/r/_binary64_365 associate-/l*_binary64_364 associate--l-_binary64_357 |
| 1× | unpow2_binary64_484 unpow1_binary64_477 exp-lft-sqr_binary64_474 1-exp_binary64_463 exp-1-e_binary64_462 rem-log-exp_binary64_460 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 +-lft-identity_binary64_403 *-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 unpow1/3_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 div-exp_binary64_470 rec-exp_binary64_469 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 remove-double-neg_binary64_407 --rgt-identity_binary64_405 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 distribute-frac-neg_binary64_382 distribute-lft1-in_binary64_374 associate-/r*_binary64_363 associate--r-_binary64_358 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1811 |
| 1 | 370 | 1650 |
| 2 | 1373 | 1631 |
| 3 | 2748 | 1626 |
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 0 | 246 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 246 | 6 | 252 |
Compiled 5184 to 3220 computations (37.9% saved)
Total 0.1b remaining (89.5%)
Threshold costs 0.1b (89.5%)
Compiled 1089 to 854 computations (21.6% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64_350 |
| 2× | sub-neg_binary64_412 +-commutative_binary64_349 |
| 1× | 1-exp_binary64_463 neg-mul-1_binary64_415 neg-sub0_binary64_414 |
| 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 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 13 | 10 |
| 2 | 17 | 10 |
| 3 | 19 | 10 |
| 4 | 20 | 10 |
(* f64 (* f64 h0 h1) (- f64 1 h1)) |
| 1× | intervals |
| 181.0ms | 8000× | body | 128 | valid |
| 4.0ms | 166× | body | 128 | invalid |
Compiled 372 to 293 computations (21.2% saved)
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