Time bar (total: 49.7s)
| 1× | search |
| 2× | egg-herbie |
| 872× | unswap-sqr_binary64_387 |
| 470× | distribute-rgt-in_binary64_369 |
| 438× | distribute-lft-in_binary64_368 |
| 368× | *-commutative_binary64_350 |
| 320× | associate-*l*_binary64_360 |
| 272× | unsub-neg_binary64_413 |
| 236× | associate-*r*_binary64_359 |
| 186× | difference-of-squares_binary64_388 distribute-rgt-neg-in_binary64_377 |
| 170× | associate-/l/_binary64_366 |
| 162× | cancel-sign-sub-inv_binary64_385 |
| 158× | distribute-lft-neg-in_binary64_376 |
| 122× | neg-sub0_binary64_414 associate-/r/_binary64_365 |
| 114× | neg-mul-1_binary64_415 |
| 92× | sub-neg_binary64_412 sqr-pow_binary64_391 |
| 88× | associate-+r+_binary64_351 |
| 72× | associate-/l*_binary64_364 |
| 62× | associate-+l+_binary64_352 |
| 60× | distribute-lft-neg-out_binary64_378 |
| 56× | pow-sqr_binary64_392 |
| 54× | associate-/r*_binary64_363 |
| 50× | associate-*r/_binary64_361 |
| 42× | mul0-rgt_binary64_402 mul0-lft_binary64_401 |
| 40× | distribute-rgt-neg-out_binary64_379 |
| 38× | associate-*l/_binary64_362 |
| 34× | +-commutative_binary64_349 |
| 24× | pow-plus_binary64_482 |
| 22× | associate-+l-_binary64_354 |
| 20× | distribute-neg-in_binary64_380 associate--r+_binary64_355 |
| 18× | +-lft-identity_binary64_403 |
| 16× | cube-unmult_binary64_456 cube-prod_binary64_447 remove-double-neg_binary64_407 |
| 14× | associate-+r-_binary64_353 |
| 12× | sub0-neg_binary64_406 +-rgt-identity_binary64_404 |
| 6× | *-lft-identity_binary64_408 |
| 4× | unpow3_binary64_485 unpow2_binary64_484 cube-mult_binary64_449 --rgt-identity_binary64_405 distribute-rgt-out_binary64_372 distribute-lft-out_binary64_370 |
| 2× | associate--r-_binary64_358 associate--l+_binary64_356 |
| 1× | 1-exp_binary64_463 |
| 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 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 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 sqr-neg_binary64_433 rem-sqrt-square_binary64_432 rem-square-sqrt_binary64_431 times-frac_binary64_425 div-sub_binary64_424 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 *-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 swap-sqr_binary64_386 cancel-sign-sub_binary64_384 distribute-neg-frac_binary64_383 distribute-frac-neg_binary64_382 distribute-neg-out_binary64_381 distribute-rgt1-in_binary64_375 distribute-lft1-in_binary64_374 distribute-rgt-out--_binary64_373 distribute-lft-out--_binary64_371 count-2_binary64_367 associate--l-_binary64_357 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 33 | 38 |
| 2 | 72 | 38 |
| 3 | 179 | 38 |
| 4 | 435 | 38 |
| 5 | 1405 | 38 |
| 6 | 3508 | 38 |
| 7 | 5242 | 38 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 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% | 62.4% | 12.6% | 5 |
| 25% | 56.2% | 18.8% | 6 |
| 28.1% | 50% | 22% | 7 |
| 28.1% | 46.8% | 25.1% | 8 |
| 29.7% | 41.4% | 29% | 9 |
| 29.7% | 39.4% | 30.9% | 10 |
| 31.1% | 35.8% | 33.1% | 11 |
| 31.1% | 34.4% | 34.5% | 12 |
| 31.5% | 32.9% | 35.6% | 13 |
| 31.5% | 32.1% | 36.4% | 14 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | intervals |
| 53.0ms | 98× | body | 1024 | valid |
| 44.0ms | 53× | body | 1024 | nan |
| 32.0ms | 50× | body | 2048 | valid |
| 14.0ms | 38× | body | 512 | valid |
| 13.0ms | 29× | body | 512 | nan |
| 13.0ms | 66× | body | 128 | overflowed |
| 5.0ms | 55× | body | 128 | valid |
| 3.0ms | 15× | body | 256 | valid |
| 3.0ms | 3× | body | 1024 | invalid |
| 3.0ms | 11× | body | 256 | nan |
| 2.0ms | 5× | body | 512 | invalid |
| 1.0ms | 5× | body | 256 | invalid |
| 1.0ms | 20× | body | 128 | nan |
| 1.0ms | 7× | body | 128 | invalid |
Compiled 27 to 25 computations (7.4% saved)
| 1× | egg-herbie |
| 673× | distribute-rgt-neg-in_binary64_377 |
| 436× | unswap-sqr_binary64_387 |
| 309× | *-commutative_binary64_350 |
| 248× | sub-neg_binary64_412 |
| 235× | distribute-rgt-in_binary64_369 associate-/l/_binary64_366 |
| 234× | unsub-neg_binary64_413 |
| 228× | associate-/r/_binary64_365 |
| 219× | distribute-lft-in_binary64_368 |
| 205× | distribute-lft-neg-out_binary64_378 |
| 204× | distribute-lft-neg-in_binary64_376 |
| 196× | distribute-rgt-neg-out_binary64_379 |
| 181× | neg-sub0_binary64_414 |
| 177× | neg-mul-1_binary64_415 |
| 176× | cancel-sign-sub_binary64_384 |
| 166× | cancel-sign-sub-inv_binary64_385 |
| 160× | associate-*l*_binary64_360 |
| 118× | associate-*r*_binary64_359 |
| 93× | difference-of-squares_binary64_388 |
| 86× | distribute-neg-out_binary64_381 +-commutative_binary64_349 |
| 83× | distribute-neg-in_binary64_380 |
| 73× | associate-/l*_binary64_364 |
| 72× | sqr-pow_binary64_391 |
| 70× | associate--r+_binary64_355 |
| 69× | associate-*r/_binary64_361 |
| 66× | associate-+l-_binary64_354 |
| 64× | associate-/r*_binary64_363 |
| 52× | sub0-neg_binary64_406 associate-*l/_binary64_362 |
| 44× | associate-+r+_binary64_351 |
| 42× | associate--l+_binary64_356 |
| 40× | pow-sqr_binary64_392 associate-+r-_binary64_353 |
| 31× | associate-+l+_binary64_352 |
| 26× | cube-prod_binary64_447 |
| 23× | swap-sqr_binary64_386 |
| 22× | remove-double-neg_binary64_407 --rgt-identity_binary64_405 mul0-rgt_binary64_402 mul0-lft_binary64_401 |
| 20× | pow-plus_binary64_482 +-lft-identity_binary64_403 |
| 16× | +-rgt-identity_binary64_404 |
| 13× | cube-unmult_binary64_456 |
| 8× | distribute-rgt-out_binary64_372 |
| 6× | *-lft-identity_binary64_408 |
| 4× | unpow3_binary64_485 unpow2_binary64_484 cube-mult_binary64_449 distribute-lft-out_binary64_370 associate--r-_binary64_358 |
| 2× | unpow1_binary64_477 |
| 1× | 1-exp_binary64_463 *-rgt-identity_binary64_409 distribute-rgt-out--_binary64_373 associate--l-_binary64_357 |
| 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 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-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 sqr-neg_binary64_433 rem-sqrt-square_binary64_432 rem-square-sqrt_binary64_431 times-frac_binary64_425 div-sub_binary64_424 mul-1-neg_binary64_411 /-rgt-identity_binary64_410 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 20 | 19 |
| 2 | 40 | 19 |
| 3 | 96 | 19 |
| 4 | 228 | 19 |
| 5 | 723 | 19 |
| 6 | 1798 | 19 |
| 7 | 3290 | 19 |
| 8 | 4831 | 19 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
Compiled 13 to 11 computations (15.4% saved)
Found 3 expressions with local error:
| 0.0b | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| 0.0b | (pow.f64 x (/.f64 1 n)) |
| 2.1b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | rewrite-expression-head |
| 33× | add-sqr-sqrt_binary64_441 |
| 30× | *-un-lft-identity_binary64_419 |
| 26× | pow-unpow_binary64_496 |
| 21× | add-cube-cbrt_binary64_454 |
| 20× | unpow-prod-down_binary64_498 |
| 18× | times-frac_binary64_425 |
| 9× | difference-of-squares_binary64_388 sqr-pow_binary64_391 |
| 7× | cancel-sign-sub-inv_binary64_385 |
| 5× | add-log-exp_binary64_458 pow1_binary64_480 add-exp-log_binary64_457 |
| 3× | add-cbrt-cube_binary64_455 distribute-lft-out--_binary64_371 |
| 2× | distribute-lft-out_binary64_370 div-inv_binary64_416 pow-pow_binary64_491 pow-to-exp_binary64_488 pow-exp_binary64_487 |
| 1× | diff-log_binary64_511 flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 |
3 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 9.0ms | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| 4.0ms | (pow.f64 x (/.f64 1 n)) |
Compiled 1914 to 1374 computations (28.2% saved)
3 calls:
| 401.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 164.0ms | (pow.f64 x (/.f64 1 n)) |
| 100.0ms | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
Compiled 2919 to 2245 computations (23.1% saved)
| 1× | egg-herbie |
| 872× | times-frac_binary64_425 |
| 278× | cancel-sign-sub-inv_binary64_385 |
| 208× | sub-neg_binary64_412 |
| 151× | sqr-pow_binary64_391 |
| 129× | +-commutative_binary64_349 |
| 124× | unswap-sqr_binary64_387 |
| 116× | distribute-rgt-in_binary64_369 |
| 102× | exp-prod_binary64_471 |
| 92× | associate-/r*_binary64_363 |
| 80× | associate-+l+_binary64_352 |
| 78× | associate-*r*_binary64_359 associate-+r+_binary64_351 |
| 77× | distribute-neg-in_binary64_380 distribute-rgt-neg-in_binary64_377 |
| 74× | associate--l+_binary64_356 *-commutative_binary64_350 |
| 71× | log-pow_binary64_508 |
| 67× | distribute-lft-neg-in_binary64_376 |
| 62× | pow-sqr_binary64_392 |
| 57× | neg-mul-1_binary64_415 neg-sub0_binary64_414 |
| 55× | associate-/l*_binary64_364 |
| 54× | associate-*l*_binary64_360 |
| 50× | associate--r+_binary64_355 |
| 44× | exp-sum_binary64_465 distribute-neg-frac_binary64_383 |
| 43× | log-prod_binary64_505 |
| 41× | unsub-neg_binary64_413 |
| 38× | associate-*r/_binary64_361 |
| 34× | associate-*l/_binary64_362 |
| 27× | swap-sqr_binary64_386 distribute-rgt-out_binary64_372 |
| 24× | unpow3_binary64_485 cube-prod_binary64_447 |
| 22× | difference-of-squares_binary64_388 |
| 21× | distribute-lft-neg-out_binary64_378 |
| 19× | associate-/l/_binary64_366 |
| 13× | exp-diff_binary64_467 cube-unmult_binary64_456 distribute-rgt-out--_binary64_373 |
| 12× | pow-plus_binary64_482 |
| 11× | associate-+r-_binary64_353 |
| 10× | exp-to-pow_binary64_481 cube-mult_binary64_449 |
| 9× | distribute-rgt-neg-out_binary64_379 distribute-lft-out_binary64_370 |
| 8× | div-sub_binary64_424 |
| 7× | log-div_binary64_506 |
| 6× | rem-sqrt-square_binary64_432 |
| 5× | unpow1/2_binary64_483 unpow1_binary64_477 prod-exp_binary64_468 mul-1-neg_binary64_411 *-rgt-identity_binary64_409 |
| 4× | unpow2_binary64_484 pow-base-1_binary64_479 *-lft-identity_binary64_408 +-rgt-identity_binary64_404 distribute-lft-in_binary64_368 |
| 3× | log-rec_binary64_507 exp-neg_binary64_466 /-rgt-identity_binary64_410 distribute-rgt1-in_binary64_375 associate-/r/_binary64_365 |
| 2× | div-exp_binary64_470 remove-double-neg_binary64_407 distribute-frac-neg_binary64_382 distribute-lft-out--_binary64_371 |
| 1× | 1-exp_binary64_463 rem-3cbrt-lft_binary64_444 rem-square-sqrt_binary64_431 +-inverses_binary64_398 associate--r-_binary64_358 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_682 erf-erfc_binary64_681 erf-odd_binary64_680 if-if-and-not_binary64_679 if-if-and_binary64_678 if-if-or-not_binary64_677 if-if-or_binary64_676 if-not_binary64_675 if-same_binary64_674 if-false_binary64_673 if-true_binary64_672 not-gte_binary64_671 not-lte_binary64_670 not-gt_binary64_669 not-lt_binary64_668 gte-same_binary64_667 lte-same_binary64_666 gt-same_binary64_665 lt-same_binary64_664 sinh---cosh_binary64_611 sinh-+-cosh_binary64_610 sinh-cosh_binary64_609 tanh-def-c_binary64_608 tanh-def-b_binary64_607 tanh-def-a_binary64_606 cosh-def_binary64_605 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 unpow1/3_binary64_486 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 rec-exp_binary64_469 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-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 +-lft-identity_binary64_403 mul0-rgt_binary64_402 mul0-lft_binary64_401 div0_binary64_400 *-inverses_binary64_399 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-lft1-in_binary64_374 count-2_binary64_367 associate--l-_binary64_357 associate-+l-_binary64_354 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 274 | 3317 |
| 1 | 726 | 3174 |
| 2 | 2221 | 2873 |
| 3 | 4748 | 2861 |
| 4 | 4984 | 2861 |
| 5 | 4988 | 2861 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 7 | 103 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 97 | 7 | 104 |
Compiled 2759 to 1854 computations (32.8% saved)
Found 4 expressions with local error:
| 2.3b | (log.f64 (+.f64 1 x)) |
| 5.4b | (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3)))) |
| 7.2b | (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))) |
| 10.8b | (-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))))) |
| 1× | rewrite-expression-head |
| 91× | add-log-exp_binary64_458 |
| 52× | sum-log_binary64_510 |
| 36× | frac-add_binary64_427 |
| 29× | flip3-+_binary64_422 flip-+_binary64_393 |
| 24× | frac-sub_binary64_428 |
| 20× | associate-*r/_binary64_361 |
| 16× | diff-log_binary64_511 |
| 15× | *-un-lft-identity_binary64_419 |
| 8× | add-sqr-sqrt_binary64_441 |
| 6× | add-cube-cbrt_binary64_454 log-div_binary64_506 associate-+r-_binary64_353 |
| 5× | pow1_binary64_480 add-exp-log_binary64_457 |
| 4× | add-cbrt-cube_binary64_455 cancel-sign-sub-inv_binary64_385 div-sub_binary64_424 associate-+l-_binary64_354 log-prod_binary64_505 |
| 3× | distribute-lft-out_binary64_370 |
| 2× | distribute-lft-out--_binary64_371 associate--l-_binary64_357 +-commutative_binary64_349 |
| 1× | flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 difference-of-squares_binary64_388 associate--l+_binary64_356 associate--r+_binary64_355 associate-+r+_binary64_351 log-pow_binary64_508 rem-log-exp_binary64_460 |
4 calls:
| 62.0ms | (-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))))) |
| 17.0ms | (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3)))) |
| 11.0ms | (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))) |
| 4.0ms | (log.f64 (+.f64 1 x)) |
Compiled 18230 to 11939 computations (34.5% saved)
4 calls:
| 1.8s | (-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))))) |
| 1.2s | (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3)))) |
| 991.0ms | (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))) |
| 44.0ms | (log.f64 (+.f64 1 x)) |
Compiled 10326 to 7721 computations (25.2% saved)
| 1× | egg-herbie |
| 686× | distribute-rgt-in_binary64_369 |
| 288× | times-frac_binary64_425 |
| 203× | *-commutative_binary64_350 |
| 177× | cancel-sign-sub-inv_binary64_385 |
| 175× | sub-neg_binary64_412 |
| 167× | +-commutative_binary64_349 |
| 130× | distribute-neg-in_binary64_380 |
| 116× | distribute-rgt-neg-in_binary64_377 |
| 109× | associate-+r+_binary64_351 |
| 84× | neg-sub0_binary64_414 |
| 83× | neg-mul-1_binary64_415 |
| 80× | sqr-pow_binary64_391 |
| 79× | distribute-lft-neg-in_binary64_376 |
| 59× | associate-*r/_binary64_361 |
| 54× | distribute-lft-in_binary64_368 |
| 48× | associate-*r*_binary64_359 |
| 47× | associate-*l*_binary64_360 |
| 40× | distribute-lft-neg-out_binary64_378 |
| 37× | associate-/r*_binary64_363 |
| 30× | unswap-sqr_binary64_387 |
| 26× | associate--r+_binary64_355 |
| 25× | unpow3_binary64_485 cube-mult_binary64_449 |
| 22× | associate--l+_binary64_356 |
| 21× | div-sub_binary64_424 |
| 20× | distribute-rgt-out_binary64_372 |
| 17× | cube-prod_binary64_447 |
| 16× | swap-sqr_binary64_386 |
| 14× | distribute-frac-neg_binary64_382 |
| 12× | exp-prod_binary64_471 |
| 10× | unpow2_binary64_484 prod-exp_binary64_468 cube-div_binary64_448 associate-/l*_binary64_364 |
| 8× | difference-of-squares_binary64_388 distribute-neg-frac_binary64_383 distribute-rgt-out--_binary64_373 |
| 7× | unpow1_binary64_477 distribute-rgt-neg-out_binary64_379 |
| 6× | exp-sum_binary64_465 associate-+r-_binary64_353 |
| 5× | div-exp_binary64_470 |
| 4× | mul-1-neg_binary64_411 |
| 3× | log-prod_binary64_505 pow-sqr_binary64_392 distribute-lft-out_binary64_370 |
| 2× | log-div_binary64_506 unsub-neg_binary64_413 associate-*l/_binary64_362 associate-+l-_binary64_354 |
| 1× | log-rec_binary64_507 exp-diff_binary64_467 1-exp_binary64_463 rem-exp-log_binary64_459 cube-unmult_binary64_456 cube-neg_binary64_446 rem-3cbrt-lft_binary64_444 sqr-neg_binary64_433 rem-square-sqrt_binary64_431 *-lft-identity_binary64_408 remove-double-neg_binary64_407 distribute-rgt1-in_binary64_375 distribute-lft-out--_binary64_371 associate-+l+_binary64_352 |
| 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 pow-plus_binary64_482 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 rec-exp_binary64_469 exp-neg_binary64_466 e-exp-1_binary64_464 exp-1-e_binary64_462 exp-0_binary64_461 rem-log-exp_binary64_460 rem-3cbrt-rft_binary64_445 rem-cbrt-cube_binary64_443 rem-cube-cbrt_binary64_442 sqr-abs_binary64_434 rem-sqrt-square_binary64_432 /-rgt-identity_binary64_410 *-rgt-identity_binary64_409 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-sqr--1_binary64_390 difference-of-sqr-1_binary64_389 cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381 distribute-lft1-in_binary64_374 count-2_binary64_367 associate-/l/_binary64_366 associate-/r/_binary64_365 associate--r-_binary64_358 associate--l-_binary64_357 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 682 | 24637 |
| 1 | 2410 | 22262 |
| 2 | 5244 | 22262 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 128 | 6 | 134 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 129 | 12 | 141 |
Compiled 19032 to 12558 computations (34% saved)
Found 4 expressions with local error:
| 7.2b | (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
| 10.8b | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 10.8b | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 10.8b | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 1× | rewrite-expression-head |
| 249× | add-log-exp_binary64_458 |
| 147× | sum-log_binary64_510 |
| 48× | diff-log_binary64_511 |
| 28× | flip3-+_binary64_422 flip-+_binary64_393 *-un-lft-identity_binary64_419 |
| 24× | frac-sub_binary64_428 |
| 18× | associate-+r-_binary64_353 |
| 13× | add-sqr-sqrt_binary64_441 |
| 12× | frac-add_binary64_427 cancel-sign-sub-inv_binary64_385 |
| 7× | add-cube-cbrt_binary64_454 |
| 6× | distribute-lft-out_binary64_370 distribute-lft-out--_binary64_371 log-div_binary64_506 div-sub_binary64_424 associate--l-_binary64_357 |
| 4× | pow1_binary64_480 add-exp-log_binary64_457 add-cbrt-cube_binary64_455 |
| 3× | flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 difference-of-squares_binary64_388 associate--l+_binary64_356 associate--r+_binary64_355 |
| 1× | associate-+r+_binary64_351 +-commutative_binary64_349 |
4 calls:
| 68.0ms | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 63.0ms | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 60.0ms | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 17.0ms | (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
Compiled 44019 to 29557 computations (32.9% saved)
4 calls:
| 1.9s | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 1.9s | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 1.8s | (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)) (/.f64 (log.f64 (+.f64 x 1)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
| 1.4s | (+.f64 (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
Compiled 35670 to 25558 computations (28.3% saved)
| 1× | egg-herbie |
| 317× | distribute-rgt-in_binary64_369 |
| 310× | associate-/r*_binary64_363 |
| 301× | distribute-lft-in_binary64_368 |
| 286× | times-frac_binary64_425 |
| 171× | associate-/l*_binary64_364 |
| 131× | *-commutative_binary64_350 |
| 127× | associate-*r/_binary64_361 |
| 118× | +-commutative_binary64_349 |
| 113× | sub-neg_binary64_412 |
| 106× | associate-*l/_binary64_362 |
| 84× | cancel-sign-sub-inv_binary64_385 |
| 81× | associate-+r+_binary64_351 |
| 76× | distribute-neg-in_binary64_380 |
| 70× | sqr-pow_binary64_391 |
| 60× | exp-prod_binary64_471 div-exp_binary64_470 |
| 47× | neg-mul-1_binary64_415 neg-sub0_binary64_414 |
| 43× | distribute-rgt-neg-in_binary64_377 |
| 25× | distribute-lft-neg-in_binary64_376 |
| 19× | unpow3_binary64_485 div-sub_binary64_424 associate--r+_binary64_355 |
| 18× | cube-mult_binary64_449 distribute-lft-neg-out_binary64_378 |
| 17× | associate--l+_binary64_356 |
| 16× | unswap-sqr_binary64_387 associate-*r*_binary64_359 |
| 14× | distribute-frac-neg_binary64_382 distribute-rgt-out_binary64_372 |
| 11× | unpow1/2_binary64_483 |
| 10× | prod-exp_binary64_468 |
| 9× | unpow2_binary64_484 unpow1_binary64_477 |
| 8× | cube-prod_binary64_447 |
| 7× | swap-sqr_binary64_386 distribute-rgt-neg-out_binary64_379 associate-/l/_binary64_366 associate-/r/_binary64_365 |
| 6× | exp-sum_binary64_465 difference-of-squares_binary64_388 |
| 5× | associate-*l*_binary64_360 |
| 4× | log-div_binary64_506 log-prod_binary64_505 distribute-rgt-out--_binary64_373 associate-+r-_binary64_353 |
| 3× | mul-1-neg_binary64_411 distribute-neg-frac_binary64_383 |
| 2× | cube-div_binary64_448 unsub-neg_binary64_413 *-rgt-identity_binary64_409 distribute-rgt1-in_binary64_375 |
| 1× | log-pow_binary64_508 log-rec_binary64_507 exp-diff_binary64_467 1-exp_binary64_463 cube-unmult_binary64_456 cube-neg_binary64_446 rem-3cbrt-lft_binary64_444 sqr-neg_binary64_433 rem-square-sqrt_binary64_431 pow-sqr_binary64_392 distribute-lft-out--_binary64_371 associate-+l+_binary64_352 |
| 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 unpow1/3_binary64_486 pow-plus_binary64_482 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 rec-exp_binary64_469 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 rem-3cbrt-rft_binary64_445 rem-cbrt-cube_binary64_443 rem-cube-cbrt_binary64_442 sqr-abs_binary64_434 rem-sqrt-square_binary64_432 /-rgt-identity_binary64_410 *-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 difference-of-sqr--1_binary64_390 difference-of-sqr-1_binary64_389 cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381 distribute-lft1-in_binary64_374 distribute-lft-out_binary64_370 count-2_binary64_367 associate--r-_binary64_358 associate--l-_binary64_357 associate-+l-_binary64_354 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 35309 |
| 1 | 1567 | 33684 |
| 2 | 4868 | 33684 |
| 3 | 4922 | 33684 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 1 | 205 |
| Fresh | 0 | 11 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 205 | 12 | 217 |
Compiled 54914 to 36642 computations (33.3% saved)
Found 4 expressions with local error:
| 3.4b | (+.f64 (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) |
| 3.9b | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
| 5.5b | (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) |
| 8.1b | (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) |
| 1× | rewrite-expression-head |
| 29× | add-log-exp_binary64_458 |
| 16× | associate-*r/_binary64_361 frac-add_binary64_427 |
| 13× | cube-div_binary64_448 *-un-lft-identity_binary64_419 |
| 11× | sum-log_binary64_510 |
| 10× | frac-sub_binary64_428 |
| 9× | pow1_binary64_480 add-sqr-sqrt_binary64_441 |
| 7× | diff-log_binary64_511 add-cube-cbrt_binary64_454 flip3-+_binary64_422 flip-+_binary64_393 log-prod_binary64_505 associate-*l/_binary64_362 |
| 6× | cancel-sign-sub-inv_binary64_385 associate--l+_binary64_356 |
| 5× | log-pow_binary64_508 |
| 4× | add-exp-log_binary64_457 add-cbrt-cube_binary64_455 distribute-lft-out--_binary64_371 |
| 3× | flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 associate--l-_binary64_357 associate--r+_binary64_355 associate-+l+_binary64_352 |
| 2× | +-commutative_binary64_349 log-div_binary64_506 |
| 1× | div-sub_binary64_424 associate-+r-_binary64_353 difference-of-squares_binary64_388 distribute-lft-out_binary64_370 associate-+l-_binary64_354 |
4 calls:
| 32.0ms | (+.f64 (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) |
| 29.0ms | (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) |
| 14.0ms | (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) |
| 8.0ms | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
Compiled 8204 to 5507 computations (32.9% saved)
4 calls:
| 1.9s | (+.f64 (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) |
| 1.5s | (-.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) |
| 690.0ms | (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (*.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 1 x)) n) 3))) |
| 109.0ms | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
Compiled 7980 to 6050 computations (24.2% saved)
| 1× | egg-herbie |
| 388× | associate-*r*_binary64_359 |
| 366× | associate-*l*_binary64_360 |
| 221× | associate-/r*_binary64_363 |
| 209× | times-frac_binary64_425 |
| 147× | sub-neg_binary64_412 |
| 132× | distribute-rgt-in_binary64_369 |
| 130× | *-commutative_binary64_350 |
| 129× | associate-/l*_binary64_364 |
| 122× | associate-*r/_binary64_361 |
| 120× | +-commutative_binary64_349 |
| 118× | distribute-lft-in_binary64_368 |
| 117× | cancel-sign-sub-inv_binary64_385 |
| 99× | associate-*l/_binary64_362 |
| 77× | distribute-rgt-neg-in_binary64_377 |
| 63× | neg-sub0_binary64_414 |
| 62× | distribute-lft-neg-in_binary64_376 |
| 61× | neg-mul-1_binary64_415 associate-+r+_binary64_351 |
| 60× | sqr-pow_binary64_391 |
| 51× | distribute-neg-in_binary64_380 |
| 29× | div-sub_binary64_424 |
| 28× | associate--l+_binary64_356 |
| 23× | unpow3_binary64_485 |
| 22× | cube-mult_binary64_449 associate--r+_binary64_355 |
| 20× | distribute-neg-frac_binary64_383 |
| 18× | cube-prod_binary64_447 distribute-lft-neg-out_binary64_378 |
| 14× | cube-div_binary64_448 swap-sqr_binary64_386 distribute-rgt-out_binary64_372 |
| 13× | unswap-sqr_binary64_387 |
| 12× | distribute-frac-neg_binary64_382 |
| 9× | distribute-lft-out_binary64_370 |
| 8× | unpow2_binary64_484 exp-prod_binary64_471 distribute-rgt-out--_binary64_373 |
| 7× | unpow1_binary64_477 difference-of-squares_binary64_388 distribute-rgt-neg-out_binary64_379 |
| 5× | prod-exp_binary64_468 exp-sum_binary64_465 |
| 4× | exp-diff_binary64_467 mul-1-neg_binary64_411 associate-/r/_binary64_365 associate-+r-_binary64_353 |
| 3× | log-prod_binary64_505 unsub-neg_binary64_413 |
| 2× | log-div_binary64_506 div-exp_binary64_470 rem-exp-log_binary64_459 pow-sqr_binary64_392 associate-/l/_binary64_366 associate-+l-_binary64_354 associate-+l+_binary64_352 |
| 1× | log-rec_binary64_507 pow-plus_binary64_482 1-exp_binary64_463 cube-unmult_binary64_456 cube-neg_binary64_446 rem-3cbrt-lft_binary64_444 sqr-neg_binary64_433 rem-square-sqrt_binary64_431 *-lft-identity_binary64_408 distribute-rgt1-in_binary64_375 distribute-lft-out--_binary64_371 count-2_binary64_367 associate--l-_binary64_357 |
| 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-lft-sqr_binary64_474 exp-cbrt_binary64_473 exp-sqrt_binary64_472 rec-exp_binary64_469 exp-neg_binary64_466 e-exp-1_binary64_464 exp-1-e_binary64_462 exp-0_binary64_461 rem-log-exp_binary64_460 rem-3cbrt-rft_binary64_445 rem-cbrt-cube_binary64_443 rem-cube-cbrt_binary64_442 sqr-abs_binary64_434 rem-sqrt-square_binary64_432 /-rgt-identity_binary64_410 *-rgt-identity_binary64_409 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-sqr--1_binary64_390 difference-of-sqr-1_binary64_389 cancel-sign-sub_binary64_384 distribute-neg-out_binary64_381 distribute-lft1-in_binary64_374 associate--r-_binary64_358 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 498 | 11317 |
| 1 | 1539 | 10849 |
| 2 | 5036 | 10849 |
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 6 | 128 |
| Fresh | 3 | 8 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 125 | 15 | 140 |
Compiled 9928 to 6411 computations (35.4% saved)
Total 7.0b remaining (96.5%)
Threshold costs 0b (0%)
Compiled 28304 to 20384 computations (28% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 9.43389880548063 | 7478.467015072123 | 113.7828166612893 |
Compiled 1 to 2 computations (-100% saved)
| 1× | egg-herbie |
| 18× | +-commutative_binary64_349 |
| 17× | *-commutative_binary64_350 |
| 13× | sub-neg_binary64_412 |
| 12× | neg-mul-1_binary64_415 neg-sub0_binary64_414 |
| 4× | unsub-neg_binary64_413 distribute-neg-in_binary64_380 distribute-rgt-neg-in_binary64_377 distribute-lft-neg-in_binary64_376 |
| 3× | distribute-neg-frac_binary64_383 |
| 1× | 1-exp_binary64_463 |
| 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 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-frac-neg_binary64_382 distribute-neg-out_binary64_381 distribute-rgt-neg-out_binary64_379 distribute-lft-neg-out_binary64_378 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 110 |
| 1 | 54 | 110 |
| 2 | 62 | 110 |
| 3 | 76 | 110 |
| 4 | 101 | 110 |
| 5 | 121 | 110 |
| 6 | 136 | 110 |
| 7 | 144 | 110 |
| 8 | 146 | 110 |
| 9 | 145 | 110 |
| 1× | intervals |
| 1.6s | 2693× | body | 1024 | valid |
| 1.2s | 1711× | body | 2048 | valid |
| 1.1s | 1379× | body | 1024 | nan |
| 518.0ms | 2624× | body | 128 | overflowed |
| 483.0ms | 1233× | body | 512 | valid |
| 360.0ms | 727× | body | 512 | nan |
| 178.0ms | 1801× | body | 128 | valid |
| 176.0ms | 180× | body | 1024 | invalid |
| 133.0ms | 562× | body | 256 | valid |
| 115.0ms | 221× | body | 512 | invalid |
| 91.0ms | 371× | body | 256 | nan |
| 50.0ms | 740× | body | 128 | nan |
| 39.0ms | 135× | body | 256 | invalid |
| 35.0ms | 260× | body | 128 | invalid |
| 8.0ms | 7× | body | 2048 | nan |
Compiled 7007 to 5036 computations (28.1% saved)
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