Time bar (total: 4.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 75% | 12.5% | 12.5% | 5 |
| 75% | 6.2% | 18.8% | 6 |
| 75% | 3.1% | 21.9% | 7 |
| 75% | 1.6% | 23.5% | 8 |
| 75% | 0.8% | 24.3% | 9 |
| 75% | 0.4% | 24.6% | 10 |
| 75% | 0.2% | 24.8% | 11 |
| 75% | 0.1% | 24.9% | 12 |
| 75% | 0% | 25% | 13 |
| 75% | 0% | 25% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 5.0ms | 256× | body | 128 | valid |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 680× | exp-prod_binary64_2517 |
| 616× | associate-/l*_binary64_2410 |
| 319× | associate-*r/_binary64_2407 |
| 269× | *-commutative_binary64_2396 |
| 240× | distribute-neg-frac_binary64_2429 |
| 236× | swap-sqr_binary64_2432 |
| 221× | times-frac_binary64_2471 |
| 203× | associate-/l/_binary64_2412 |
| 185× | associate-/r*_binary64_2409 |
| 156× | exp-diff_binary64_2513 |
| 139× | associate-+l+_binary64_2398 |
| 120× | associate--l+_binary64_2402 |
| 119× | associate-+r+_binary64_2397 |
| 110× | associate--r+_binary64_2401 |
| 105× | distribute-rgt1-in_binary64_2421 |
| 94× | distribute-rgt-neg-out_binary64_2425 |
| 93× | distribute-lft-neg-in_binary64_2422 |
| 92× | associate-+l-_binary64_2400 |
| 91× | distribute-rgt-neg-in_binary64_2423 |
| 88× | associate-/r/_binary64_2411 |
| 86× | associate-+r-_binary64_2399 |
| 82× | associate--l-_binary64_2403 |
| 71× | pow-plus_binary64_2528 distribute-lft-neg-out_binary64_2424 |
| 69× | sub-neg_binary64_2458 associate--r-_binary64_2404 |
| 65× | exp-sum_binary64_2511 |
| 64× | distribute-neg-in_binary64_2426 |
| 59× | unsub-neg_binary64_2459 |
| 53× | distribute-rgt-in_binary64_2415 |
| 51× | neg-mul-1_binary64_2461 |
| 45× | neg-sub0_binary64_2460 |
| 43× | sqr-pow_binary64_2437 |
| 42× | div-sub_binary64_2470 |
| 39× | cancel-sign-sub-inv_binary64_2431 |
| 28× | +-commutative_binary64_2395 |
| 27× | distribute-frac-neg_binary64_2428 |
| 26× | distribute-lft-in_binary64_2414 |
| 23× | associate-*r*_binary64_2405 |
| 19× | distribute-rgt-out_binary64_2418 |
| 16× | pow-base-1_binary64_2525 |
| 15× | pow-sqr_binary64_2438 |
| 12× | remove-double-neg_binary64_2453 |
| 11× | exp-lft-sqr_binary64_2520 |
| 10× | unswap-sqr_binary64_2433 distribute-rgt-out--_binary64_2419 |
| 9× | cube-unmult_binary64_2502 sub0-neg_binary64_2452 |
| 6× | *-rgt-identity_binary64_2455 *-lft-identity_binary64_2454 +-rgt-identity_binary64_2450 mul0-lft_binary64_2447 distribute-neg-out_binary64_2427 count-2_binary64_2413 |
| 5× | associate-*l*_binary64_2406 |
| 4× | mul0-rgt_binary64_2448 div0_binary64_2446 cancel-sign-sub_binary64_2430 distribute-lft1-in_binary64_2420 |
| 3× | sqr-neg_binary64_2479 +-lft-identity_binary64_2449 +-inverses_binary64_2444 distribute-lft-out--_binary64_2417 distribute-lft-out_binary64_2416 |
| 2× | exp-neg_binary64_2512 cube-prod_binary64_2493 --rgt-identity_binary64_2451 associate-*l/_binary64_2408 |
| 1× | unpow3_binary64_2531 1-exp_binary64_2509 cube-neg_binary64_2492 difference-of-sqr--1_binary64_2436 difference-of-squares_binary64_2434 |
| 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_2728 erf-erfc_binary64_2727 erf-odd_binary64_2726 if-if-and-not_binary64_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 not-gte_binary64_2717 not-lte_binary64_2716 not-gt_binary64_2715 not-lt_binary64_2714 gte-same_binary64_2713 lte-same_binary64_2712 gt-same_binary64_2711 lt-same_binary64_2710 sinh---cosh_binary64_2657 sinh-+-cosh_binary64_2656 sinh-cosh_binary64_2655 tanh-def-c_binary64_2654 tanh-def-b_binary64_2653 tanh-def-a_binary64_2652 cosh-def_binary64_2651 sinh-def_binary64_2650 tan-neg_binary64_2597 cos-neg_binary64_2596 sin-neg_binary64_2595 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 hang-m-tan_binary64_2591 hang-p-tan_binary64_2590 hang-m0-tan_binary64_2589 hang-p0-tan_binary64_2588 hang-0m-tan_binary64_2587 hang-0p-tan_binary64_2586 tan-+PI/2_binary64_2585 tan-+PI_binary64_2584 tan-PI_binary64_2583 tan-PI/3_binary64_2582 tan-PI/4_binary64_2581 tan-PI/6_binary64_2580 cos-+PI/2_binary64_2579 cos-+PI_binary64_2578 cos-PI_binary64_2577 cos-PI/2_binary64_2576 cos-PI/3_binary64_2575 cos-PI/4_binary64_2574 cos-PI/6_binary64_2573 sin-+PI/2_binary64_2572 sin-+PI_binary64_2571 sin-PI_binary64_2570 sin-PI/2_binary64_2569 sin-PI/3_binary64_2568 sin-PI/4_binary64_2567 sin-PI/6_binary64_2566 sub-1-sin_binary64_2565 sub-1-cos_binary64_2564 -1-add-sin_binary64_2563 -1-add-cos_binary64_2562 1-sub-sin_binary64_2561 1-sub-cos_binary64_2560 cos-sin-sum_binary64_2559 log-E_binary64_2555 log-pow_binary64_2554 log-rec_binary64_2553 log-div_binary64_2552 log-prod_binary64_2551 pow-base-0_binary64_2549 unpow1/3_binary64_2532 unpow2_binary64_2530 unpow1/2_binary64_2529 exp-to-pow_binary64_2527 unpow0_binary64_2524 unpow1_binary64_2523 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 div-exp_binary64_2516 rec-exp_binary64_2515 prod-exp_binary64_2514 e-exp-1_binary64_2510 exp-1-e_binary64_2508 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-mult_binary64_2495 cube-div_binary64_2494 rem-3cbrt-rft_binary64_2491 rem-3cbrt-lft_binary64_2490 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 rem-sqrt-square_binary64_2478 rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457 /-rgt-identity_binary64_2456 *-inverses_binary64_2445 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 difference-of-sqr-1_binary64_2435 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 21 | 10 |
| 3 | 33 | 10 |
| 4 | 59 | 10 |
| 5 | 86 | 10 |
| 6 | 165 | 10 |
| 7 | 395 | 10 |
| 8 | 2173 | 10 |
| 9 | 4259 | 10 |
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 7 to 6 computations (14.3% saved)
Found 1 expressions with local error:
| 0.1b | (/.f64 (-.f64 (*.f64 x x) 3) 6) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64_2487 |
| 12× | times-frac_binary64_2471 |
| 10× | add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465 |
| 4× | difference-of-squares_binary64_2434 associate-/l*_binary64_2410 |
| 3× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 associate-/r*_binary64_2409 |
| 2× | associate-/l/_binary64_2412 |
| 1× | pow1_binary64_2526 div-exp_binary64_2516 add-log-exp_binary64_2504 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 div-sub_binary64_2470 clear-num_binary64_2464 div-inv_binary64_2462 flip3--_binary64_2469 flip--_binary64_2440 |
1 calls:
| 7.0ms | (/.f64 (-.f64 (*.f64 x x) 3) 6) |
Compiled 535 to 366 computations (31.6% saved)
1 calls:
| 73.0ms | (/.f64 (-.f64 (*.f64 x x) 3) 6) |
Compiled 85 to 82 computations (3.5% saved)
| 1× | egg-herbie |
| 512× | associate-*l/_binary64_2408 |
| 400× | associate-/r/_binary64_2411 |
| 368× | associate-*r/_binary64_2407 |
| 353× | associate-/l/_binary64_2412 |
| 316× | associate-/r*_binary64_2409 |
| 266× | unsub-neg_binary64_2459 |
| 185× | distribute-lft-in_binary64_2414 |
| 184× | distribute-rgt-in_binary64_2415 |
| 176× | *-commutative_binary64_2396 |
| 144× | div-sub_binary64_2470 |
| 123× | neg-sub0_binary64_2460 |
| 122× | neg-mul-1_binary64_2461 |
| 90× | associate-/l*_binary64_2410 |
| 79× | associate-*l*_binary64_2406 |
| 69× | times-frac_binary64_2471 |
| 61× | associate-*r*_binary64_2405 |
| 48× | cancel-sign-sub-inv_binary64_2431 |
| 47× | sub-neg_binary64_2458 unswap-sqr_binary64_2433 distribute-rgt-neg-out_binary64_2425 |
| 44× | log-div_binary64_2552 |
| 40× | distribute-lft-neg-out_binary64_2424 |
| 39× | cube-div_binary64_2494 |
| 35× | exp-prod_binary64_2517 associate--l-_binary64_2403 |
| 34× | distribute-rgt-out_binary64_2418 |
| 32× | log-prod_binary64_2551 |
| 30× | cube-prod_binary64_2493 |
| 28× | associate-+l-_binary64_2400 +-commutative_binary64_2395 |
| 26× | distribute-rgt-neg-in_binary64_2423 |
| 23× | distribute-lft-neg-in_binary64_2422 |
| 22× | distribute-frac-neg_binary64_2428 |
| 20× | sqr-pow_binary64_2437 distribute-neg-frac_binary64_2429 |
| 18× | associate-+r-_binary64_2399 associate-+l+_binary64_2398 |
| 17× | swap-sqr_binary64_2432 associate-+r+_binary64_2397 |
| 16× | exp-diff_binary64_2513 |
| 15× | pow-plus_binary64_2528 |
| 14× | *-lft-identity_binary64_2454 |
| 13× | /-rgt-identity_binary64_2456 distribute-lft-out_binary64_2416 |
| 11× | exp-sum_binary64_2511 pow-sqr_binary64_2438 |
| 10× | exp-lft-sqr_binary64_2520 cube-unmult_binary64_2502 |
| 9× | exp-sqrt_binary64_2518 div-exp_binary64_2516 prod-exp_binary64_2514 associate--r-_binary64_2404 |
| 8× | *-rgt-identity_binary64_2455 |
| 6× | distribute-neg-out_binary64_2427 associate--r+_binary64_2401 |
| 5× | unpow3_binary64_2531 sqr-neg_binary64_2479 sub0-neg_binary64_2452 distribute-rgt-out--_binary64_2419 |
| 4× | log-pow_binary64_2554 exp-to-pow_binary64_2527 cube-mult_binary64_2495 distribute-rgt1-in_binary64_2421 |
| 3× | rec-exp_binary64_2515 +-rgt-identity_binary64_2450 |
| 2× | log-rec_binary64_2553 distribute-neg-in_binary64_2426 distribute-lft-out--_binary64_2417 count-2_binary64_2413 |
| 1× | unpow2_binary64_2530 pow-base-1_binary64_2525 unpow1_binary64_2523 exp-neg_binary64_2512 1-exp_binary64_2509 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-neg_binary64_2492 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 *-inverses_binary64_2445 rgt-mult-inverse_binary64_2442 distribute-lft1-in_binary64_2420 associate--l+_binary64_2402 |
| 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_2728 erf-erfc_binary64_2727 erf-odd_binary64_2726 if-if-and-not_binary64_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 not-gte_binary64_2717 not-lte_binary64_2716 not-gt_binary64_2715 not-lt_binary64_2714 gte-same_binary64_2713 lte-same_binary64_2712 gt-same_binary64_2711 lt-same_binary64_2710 sinh---cosh_binary64_2657 sinh-+-cosh_binary64_2656 sinh-cosh_binary64_2655 tanh-def-c_binary64_2654 tanh-def-b_binary64_2653 tanh-def-a_binary64_2652 cosh-def_binary64_2651 sinh-def_binary64_2650 tan-neg_binary64_2597 cos-neg_binary64_2596 sin-neg_binary64_2595 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 hang-m-tan_binary64_2591 hang-p-tan_binary64_2590 hang-m0-tan_binary64_2589 hang-p0-tan_binary64_2588 hang-0m-tan_binary64_2587 hang-0p-tan_binary64_2586 tan-+PI/2_binary64_2585 tan-+PI_binary64_2584 tan-PI_binary64_2583 tan-PI/3_binary64_2582 tan-PI/4_binary64_2581 tan-PI/6_binary64_2580 cos-+PI/2_binary64_2579 cos-+PI_binary64_2578 cos-PI_binary64_2577 cos-PI/2_binary64_2576 cos-PI/3_binary64_2575 cos-PI/4_binary64_2574 cos-PI/6_binary64_2573 sin-+PI/2_binary64_2572 sin-+PI_binary64_2571 sin-PI_binary64_2570 sin-PI/2_binary64_2569 sin-PI/3_binary64_2568 sin-PI/4_binary64_2567 sin-PI/6_binary64_2566 sub-1-sin_binary64_2565 sub-1-cos_binary64_2564 -1-add-sin_binary64_2563 -1-add-cos_binary64_2562 1-sub-sin_binary64_2561 1-sub-cos_binary64_2560 cos-sin-sum_binary64_2559 log-E_binary64_2555 pow-base-0_binary64_2549 unpow1/3_binary64_2532 unpow1/2_binary64_2529 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-cbrt_binary64_2519 e-exp-1_binary64_2510 exp-1-e_binary64_2508 exp-0_binary64_2507 rem-3cbrt-rft_binary64_2491 rem-3cbrt-lft_binary64_2490 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 rem-sqrt-square_binary64_2478 rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 remove-double-div_binary64_2441 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 difference-of-squares_binary64_2434 cancel-sign-sub_binary64_2430 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 675 |
| 1 | 181 | 630 |
| 2 | 445 | 628 |
| 3 | 1117 | 628 |
| 4 | 4401 | 628 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 3 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 24 | 4 | 28 |
Compiled 465 to 311 computations (33.1% saved)
Found 1 expressions with local error:
| 0.1b | (*.f64 (/.f64 x 6) x) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64_2487 |
| 13× | associate-*l*_binary64_2406 |
| 10× | times-frac_binary64_2471 |
| 9× | add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465 |
| 6× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 |
| 3× | pow1_binary64_2526 associate-*r*_binary64_2405 |
| 2× | prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433 |
| 1× | pow-prod-down_binary64_2536 div-exp_binary64_2516 add-log-exp_binary64_2504 cbrt-undiv_binary64_2499 associate-*l/_binary64_2408 div-inv_binary64_2462 *-commutative_binary64_2396 |
1 calls:
| 7.0ms | (*.f64 (/.f64 x 6) x) |
Compiled 501 to 367 computations (26.7% saved)
1 calls:
| 38.0ms | (*.f64 (/.f64 x 6) x) |
Compiled 81 to 79 computations (2.5% saved)
| 1× | egg-herbie |
| 432× | associate-/l/_binary64_2412 |
| 375× | associate-/r*_binary64_2409 |
| 365× | associate-/r/_binary64_2411 |
| 195× | unswap-sqr_binary64_2433 |
| 190× | distribute-rgt-in_binary64_2415 |
| 170× | associate-*l*_binary64_2406 |
| 165× | log-prod_binary64_2551 |
| 163× | distribute-lft-in_binary64_2414 |
| 161× | associate-*r*_binary64_2405 |
| 154× | log-div_binary64_2552 |
| 141× | associate-*l/_binary64_2408 |
| 138× | exp-prod_binary64_2517 associate-/l*_binary64_2410 |
| 137× | *-commutative_binary64_2396 |
| 113× | sqr-pow_binary64_2437 |
| 101× | cube-prod_binary64_2493 |
| 87× | cube-div_binary64_2494 |
| 70× | unpow3_binary64_2531 |
| 68× | associate-*r/_binary64_2407 |
| 63× | associate--r-_binary64_2404 associate-+l-_binary64_2400 |
| 62× | associate-+l+_binary64_2398 |
| 60× | associate--r+_binary64_2401 |
| 58× | times-frac_binary64_2471 |
| 55× | swap-sqr_binary64_2432 |
| 49× | pow-sqr_binary64_2438 associate-+r-_binary64_2399 |
| 42× | pow-plus_binary64_2528 |
| 38× | associate--l+_binary64_2402 |
| 37× | sub-neg_binary64_2458 |
| 35× | cancel-sign-sub-inv_binary64_2431 |
| 34× | associate--l-_binary64_2403 |
| 31× | *-rgt-identity_binary64_2455 associate-+r+_binary64_2397 |
| 30× | exp-sum_binary64_2511 *-lft-identity_binary64_2454 |
| 28× | exp-sqrt_binary64_2518 /-rgt-identity_binary64_2456 |
| 27× | log-pow_binary64_2554 |
| 18× | cube-mult_binary64_2495 |
| 17× | distribute-rgt-out_binary64_2418 |
| 16× | exp-lft-sqr_binary64_2520 |
| 12× | distribute-neg-in_binary64_2426 |
| 11× | log-rec_binary64_2553 |
| 10× | cube-unmult_binary64_2502 |
| 9× | +-commutative_binary64_2395 |
| 8× | neg-mul-1_binary64_2461 unsub-neg_binary64_2459 distribute-rgt1-in_binary64_2421 |
| 7× | prod-exp_binary64_2514 neg-sub0_binary64_2460 |
| 6× | exp-diff_binary64_2513 count-2_binary64_2413 |
| 5× | rem-sqrt-square_binary64_2478 distribute-lft-neg-in_binary64_2422 |
| 4× | exp-to-pow_binary64_2527 distribute-rgt-neg-in_binary64_2423 distribute-lft-out_binary64_2416 |
| 3× | distribute-rgt-neg-out_binary64_2425 distribute-rgt-out--_binary64_2419 |
| 2× | pow-base-1_binary64_2525 mul0-lft_binary64_2447 distribute-neg-out_binary64_2427 distribute-lft-neg-out_binary64_2424 distribute-lft-out--_binary64_2417 |
| 1× | unpow2_binary64_2530 unpow1_binary64_2523 div-exp_binary64_2516 1-exp_binary64_2509 exp-1-e_binary64_2508 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 rem-square-sqrt_binary64_2477 remove-double-neg_binary64_2453 sub0-neg_binary64_2452 +-rgt-identity_binary64_2450 *-inverses_binary64_2445 rgt-mult-inverse_binary64_2442 distribute-lft1-in_binary64_2420 |
| 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_2728 erf-erfc_binary64_2727 erf-odd_binary64_2726 if-if-and-not_binary64_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 not-gte_binary64_2717 not-lte_binary64_2716 not-gt_binary64_2715 not-lt_binary64_2714 gte-same_binary64_2713 lte-same_binary64_2712 gt-same_binary64_2711 lt-same_binary64_2710 sinh---cosh_binary64_2657 sinh-+-cosh_binary64_2656 sinh-cosh_binary64_2655 tanh-def-c_binary64_2654 tanh-def-b_binary64_2653 tanh-def-a_binary64_2652 cosh-def_binary64_2651 sinh-def_binary64_2650 tan-neg_binary64_2597 cos-neg_binary64_2596 sin-neg_binary64_2595 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 hang-m-tan_binary64_2591 hang-p-tan_binary64_2590 hang-m0-tan_binary64_2589 hang-p0-tan_binary64_2588 hang-0m-tan_binary64_2587 hang-0p-tan_binary64_2586 tan-+PI/2_binary64_2585 tan-+PI_binary64_2584 tan-PI_binary64_2583 tan-PI/3_binary64_2582 tan-PI/4_binary64_2581 tan-PI/6_binary64_2580 cos-+PI/2_binary64_2579 cos-+PI_binary64_2578 cos-PI_binary64_2577 cos-PI/2_binary64_2576 cos-PI/3_binary64_2575 cos-PI/4_binary64_2574 cos-PI/6_binary64_2573 sin-+PI/2_binary64_2572 sin-+PI_binary64_2571 sin-PI_binary64_2570 sin-PI/2_binary64_2569 sin-PI/3_binary64_2568 sin-PI/4_binary64_2567 sin-PI/6_binary64_2566 sub-1-sin_binary64_2565 sub-1-cos_binary64_2564 -1-add-sin_binary64_2563 -1-add-cos_binary64_2562 1-sub-sin_binary64_2561 1-sub-cos_binary64_2560 cos-sin-sum_binary64_2559 log-E_binary64_2555 pow-base-0_binary64_2549 unpow1/3_binary64_2532 unpow1/2_binary64_2529 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-cbrt_binary64_2519 rec-exp_binary64_2515 exp-neg_binary64_2512 e-exp-1_binary64_2510 exp-0_binary64_2507 cube-neg_binary64_2492 rem-3cbrt-rft_binary64_2491 rem-3cbrt-lft_binary64_2490 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 sqr-neg_binary64_2479 div-sub_binary64_2470 mul-1-neg_binary64_2457 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 div0_binary64_2446 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 remove-double-div_binary64_2441 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 difference-of-squares_binary64_2434 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 387 |
| 1 | 146 | 322 |
| 2 | 368 | 322 |
| 3 | 1104 | 322 |
| 4 | 2853 | 322 |
| 5 | 4743 | 322 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 1 | 74 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 74 | 4 | 78 |
Compiled 1211 to 879 computations (27.4% saved)
Found 1 expressions with local error:
| 0.2b | (/.f64 x (/.f64 6 x)) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64_2471 |
| 43× | add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 *-un-lft-identity_binary64_2465 |
| 13× | associate-/r*_binary64_2409 |
| 6× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 |
| 5× | div-inv_binary64_2462 |
| 3× | div-exp_binary64_2516 cbrt-undiv_binary64_2499 associate-/l*_binary64_2410 |
| 1× | pow1_binary64_2526 add-log-exp_binary64_2504 frac-2neg_binary64_2476 clear-num_binary64_2464 associate-/r/_binary64_2411 |
1 calls:
| 6.0ms | (/.f64 x (/.f64 6 x)) |
Compiled 1291 to 885 computations (31.4% saved)
1 calls:
| 35.0ms | (/.f64 x (/.f64 6 x)) |
Compiled 81 to 79 computations (2.5% saved)
| 1× | egg-herbie |
| 539× | associate-/r/_binary64_2411 |
| 288× | associate-/r*_binary64_2409 |
| 271× | cancel-sign-sub-inv_binary64_2431 |
| 261× | distribute-lft-out_binary64_2416 |
| 246× | distribute-lft-out--_binary64_2417 |
| 211× | *-commutative_binary64_2396 |
| 207× | associate-*r*_binary64_2405 |
| 141× | associate-/l*_binary64_2410 |
| 137× | associate-/l/_binary64_2412 |
| 128× | sqr-pow_binary64_2437 |
| 125× | distribute-rgt-out--_binary64_2419 |
| 123× | unswap-sqr_binary64_2433 |
| 122× | log-prod_binary64_2551 |
| 107× | distribute-rgt-out_binary64_2418 |
| 105× | swap-sqr_binary64_2432 |
| 104× | cube-prod_binary64_2493 |
| 99× | exp-prod_binary64_2517 |
| 95× | div-sub_binary64_2470 |
| 90× | sub-neg_binary64_2458 |
| 78× | distribute-rgt-neg-in_binary64_2423 |
| 77× | log-div_binary64_2552 |
| 75× | associate-*r/_binary64_2407 |
| 71× | associate-*l/_binary64_2408 |
| 61× | cube-div_binary64_2494 times-frac_binary64_2471 |
| 59× | pow-sqr_binary64_2438 distribute-lft-neg-in_binary64_2422 |
| 36× | unsub-neg_binary64_2459 |
| 33× | distribute-neg-frac_binary64_2429 |
| 31× | *-rgt-identity_binary64_2455 |
| 30× | neg-mul-1_binary64_2461 |
| 29× | unpow3_binary64_2531 |
| 28× | pow-plus_binary64_2528 |
| 27× | neg-sub0_binary64_2460 associate--l-_binary64_2403 associate-+l-_binary64_2400 |
| 25× | /-rgt-identity_binary64_2456 |
| 24× | log-pow_binary64_2554 |
| 23× | cube-mult_binary64_2495 distribute-neg-out_binary64_2427 |
| 22× | *-lft-identity_binary64_2454 associate-*l*_binary64_2406 |
| 20× | prod-exp_binary64_2514 |
| 19× | exp-to-pow_binary64_2527 |
| 18× | log-rec_binary64_2553 |
| 17× | distribute-neg-in_binary64_2426 |
| 16× | div-exp_binary64_2516 |
| 15× | distribute-rgt1-in_binary64_2421 distribute-rgt-in_binary64_2415 |
| 14× | associate-+r-_binary64_2399 |
| 13× | sub0-neg_binary64_2452 distribute-rgt-neg-out_binary64_2425 |
| 12× | exp-lft-sqr_binary64_2520 |
| 11× | cube-unmult_binary64_2502 distribute-lft-neg-out_binary64_2424 associate--r-_binary64_2404 |
| 10× | associate--r+_binary64_2401 |
| 9× | associate--l+_binary64_2402 |
| 8× | exp-diff_binary64_2513 associate-+l+_binary64_2398 +-commutative_binary64_2395 |
| 7× | exp-sum_binary64_2511 +-lft-identity_binary64_2449 associate-+r+_binary64_2397 |
| 6× | exp-sqrt_binary64_2518 distribute-lft-in_binary64_2414 |
| 5× | rem-sqrt-square_binary64_2478 remove-double-div_binary64_2441 |
| 4× | pow-base-1_binary64_2525 rec-exp_binary64_2515 div0_binary64_2446 |
| 3× | --rgt-identity_binary64_2451 mul0-lft_binary64_2447 +-inverses_binary64_2444 distribute-frac-neg_binary64_2428 distribute-lft1-in_binary64_2420 count-2_binary64_2413 |
| 1× | unpow2_binary64_2530 unpow1_binary64_2523 1-exp_binary64_2509 exp-1-e_binary64_2508 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 rem-3cbrt-rft_binary64_2491 rem-3cbrt-lft_binary64_2490 sqr-neg_binary64_2479 rem-square-sqrt_binary64_2477 remove-double-neg_binary64_2453 *-inverses_binary64_2445 rgt-mult-inverse_binary64_2442 |
| 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_2728 erf-erfc_binary64_2727 erf-odd_binary64_2726 if-if-and-not_binary64_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 not-gte_binary64_2717 not-lte_binary64_2716 not-gt_binary64_2715 not-lt_binary64_2714 gte-same_binary64_2713 lte-same_binary64_2712 gt-same_binary64_2711 lt-same_binary64_2710 sinh---cosh_binary64_2657 sinh-+-cosh_binary64_2656 sinh-cosh_binary64_2655 tanh-def-c_binary64_2654 tanh-def-b_binary64_2653 tanh-def-a_binary64_2652 cosh-def_binary64_2651 sinh-def_binary64_2650 tan-neg_binary64_2597 cos-neg_binary64_2596 sin-neg_binary64_2595 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 hang-m-tan_binary64_2591 hang-p-tan_binary64_2590 hang-m0-tan_binary64_2589 hang-p0-tan_binary64_2588 hang-0m-tan_binary64_2587 hang-0p-tan_binary64_2586 tan-+PI/2_binary64_2585 tan-+PI_binary64_2584 tan-PI_binary64_2583 tan-PI/3_binary64_2582 tan-PI/4_binary64_2581 tan-PI/6_binary64_2580 cos-+PI/2_binary64_2579 cos-+PI_binary64_2578 cos-PI_binary64_2577 cos-PI/2_binary64_2576 cos-PI/3_binary64_2575 cos-PI/4_binary64_2574 cos-PI/6_binary64_2573 sin-+PI/2_binary64_2572 sin-+PI_binary64_2571 sin-PI_binary64_2570 sin-PI/2_binary64_2569 sin-PI/3_binary64_2568 sin-PI/4_binary64_2567 sin-PI/6_binary64_2566 sub-1-sin_binary64_2565 sub-1-cos_binary64_2564 -1-add-sin_binary64_2563 -1-add-cos_binary64_2562 1-sub-sin_binary64_2561 1-sub-cos_binary64_2560 cos-sin-sum_binary64_2559 log-E_binary64_2555 pow-base-0_binary64_2549 unpow1/3_binary64_2532 unpow1/2_binary64_2529 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-cbrt_binary64_2519 exp-neg_binary64_2512 e-exp-1_binary64_2510 exp-0_binary64_2507 cube-neg_binary64_2492 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 mul-1-neg_binary64_2457 +-rgt-identity_binary64_2450 mul0-rgt_binary64_2448 lft-mult-inverse_binary64_2443 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 difference-of-squares_binary64_2434 cancel-sign-sub_binary64_2430 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1332 |
| 1 | 302 | 1196 |
| 2 | 1091 | 1124 |
| 3 | 2043 | 1124 |
| 4 | 2931 | 1124 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 360 | 0 | 360 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 360 | 4 | 364 |
Compiled 7350 to 4550 computations (38.1% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 25× | cbrt-prod_binary64_2496 |
| 23× | add-sqr-sqrt_binary64_2487 |
| 15× | add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465 |
| 11× | pow1_binary64_2526 |
| 9× | pow1/3_binary64_2547 |
| 6× | add-exp-log_binary64_2503 swap-sqr_binary64_2432 associate-*l*_binary64_2406 associate-*r*_binary64_2405 |
| 4× | add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501 unswap-sqr_binary64_2433 |
| 2× | pow-prod-down_binary64_2536 pow-prod-up_binary64_2535 pow-sqr_binary64_2438 |
| 1× | pow2_binary64_2546 pow-plus_binary64_2528 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 *-commutative_binary64_2396 |
4 calls:
| 6.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1670 to 889 computations (46.8% saved)
4 calls:
| 158.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 124.0ms | (cbrt.f64 x) |
| 120.0ms | (cbrt.f64 x) |
| 112.0ms | (cbrt.f64 x) |
Compiled 735 to 585 computations (20.4% saved)
| 1× | egg-herbie |
| 545× | log-prod_binary64_2551 |
| 427× | log-div_binary64_2552 |
| 416× | associate-/l*_binary64_2410 |
| 347× | associate-*l*_binary64_2406 |
| 293× | associate-/r*_binary64_2409 |
| 231× | associate-*r*_binary64_2405 |
| 203× | *-commutative_binary64_2396 |
| 184× | associate-/r/_binary64_2411 |
| 150× | distribute-rgt-neg-in_binary64_2423 |
| 144× | distribute-lft-neg-in_binary64_2422 |
| 140× | exp-prod_binary64_2517 |
| 128× | distribute-rgt-in_binary64_2415 |
| 123× | unswap-sqr_binary64_2433 |
| 112× | cube-prod_binary64_2493 |
| 95× | distribute-lft-in_binary64_2414 |
| 86× | swap-sqr_binary64_2432 |
| 80× | associate-/l/_binary64_2412 |
| 77× | sqr-pow_binary64_2437 |
| 55× | log-pow_binary64_2554 distribute-rgt-out_binary64_2418 |
| 52× | times-frac_binary64_2471 |
| 47× | cancel-sign-sub-inv_binary64_2431 |
| 42× | associate-+l+_binary64_2398 |
| 39× | associate-+r+_binary64_2397 |
| 38× | associate-*l/_binary64_2408 |
| 37× | pow-sqr_binary64_2438 |
| 30× | distribute-lft-out_binary64_2416 |
| 29× | cube-div_binary64_2494 |
| 28× | distribute-neg-frac_binary64_2429 |
| 24× | log-rec_binary64_2553 *-rgt-identity_binary64_2455 |
| 23× | *-lft-identity_binary64_2454 |
| 22× | pow-plus_binary64_2528 |
| 21× | associate-*r/_binary64_2407 |
| 19× | exp-sqrt_binary64_2518 |
| 18× | rem-sqrt-square_binary64_2478 |
| 15× | cube-unmult_binary64_2502 |
| 13× | neg-mul-1_binary64_2461 neg-sub0_binary64_2460 |
| 12× | associate-+l-_binary64_2400 |
| 9× | exp-lft-sqr_binary64_2520 distribute-rgt-neg-out_binary64_2425 distribute-lft-neg-out_binary64_2424 |
| 8× | distribute-rgt1-in_binary64_2421 count-2_binary64_2413 |
| 6× | unpow3_binary64_2531 associate--l-_binary64_2403 associate--l+_binary64_2402 |
| 5× | associate-+r-_binary64_2399 +-commutative_binary64_2395 |
| 4× | div-exp_binary64_2516 prod-exp_binary64_2514 distribute-rgt-out--_binary64_2419 |
| 3× | unpow1/3_binary64_2532 unpow2_binary64_2530 sub-neg_binary64_2458 distribute-lft-out--_binary64_2417 |
| 2× | unpow1_binary64_2523 rec-exp_binary64_2515 exp-sum_binary64_2511 cube-mult_binary64_2495 rem-3cbrt-lft_binary64_2490 rem-cbrt-cube_binary64_2489 /-rgt-identity_binary64_2456 distribute-lft1-in_binary64_2420 |
| 1× | pow-base-1_binary64_2525 exp-diff_binary64_2513 1-exp_binary64_2509 exp-1-e_binary64_2508 rem-log-exp_binary64_2506 rem-3cbrt-rft_binary64_2491 rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457 mul0-lft_binary64_2447 *-inverses_binary64_2445 distribute-neg-out_binary64_2427 |
| 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_2728 erf-erfc_binary64_2727 erf-odd_binary64_2726 if-if-and-not_binary64_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 not-gte_binary64_2717 not-lte_binary64_2716 not-gt_binary64_2715 not-lt_binary64_2714 gte-same_binary64_2713 lte-same_binary64_2712 gt-same_binary64_2711 lt-same_binary64_2710 sinh---cosh_binary64_2657 sinh-+-cosh_binary64_2656 sinh-cosh_binary64_2655 tanh-def-c_binary64_2654 tanh-def-b_binary64_2653 tanh-def-a_binary64_2652 cosh-def_binary64_2651 sinh-def_binary64_2650 tan-neg_binary64_2597 cos-neg_binary64_2596 sin-neg_binary64_2595 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 hang-m-tan_binary64_2591 hang-p-tan_binary64_2590 hang-m0-tan_binary64_2589 hang-p0-tan_binary64_2588 hang-0m-tan_binary64_2587 hang-0p-tan_binary64_2586 tan-+PI/2_binary64_2585 tan-+PI_binary64_2584 tan-PI_binary64_2583 tan-PI/3_binary64_2582 tan-PI/4_binary64_2581 tan-PI/6_binary64_2580 cos-+PI/2_binary64_2579 cos-+PI_binary64_2578 cos-PI_binary64_2577 cos-PI/2_binary64_2576 cos-PI/3_binary64_2575 cos-PI/4_binary64_2574 cos-PI/6_binary64_2573 sin-+PI/2_binary64_2572 sin-+PI_binary64_2571 sin-PI_binary64_2570 sin-PI/2_binary64_2569 sin-PI/3_binary64_2568 sin-PI/4_binary64_2567 sin-PI/6_binary64_2566 sub-1-sin_binary64_2565 sub-1-cos_binary64_2564 -1-add-sin_binary64_2563 -1-add-cos_binary64_2562 1-sub-sin_binary64_2561 1-sub-cos_binary64_2560 cos-sin-sum_binary64_2559 log-E_binary64_2555 pow-base-0_binary64_2549 unpow1/2_binary64_2529 exp-to-pow_binary64_2527 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-cbrt_binary64_2519 exp-neg_binary64_2512 e-exp-1_binary64_2510 exp-0_binary64_2507 rem-exp-log_binary64_2505 cube-neg_binary64_2492 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 sqr-neg_binary64_2479 div-sub_binary64_2470 unsub-neg_binary64_2459 remove-double-neg_binary64_2453 sub0-neg_binary64_2452 --rgt-identity_binary64_2451 +-rgt-identity_binary64_2450 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 div0_binary64_2446 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 difference-of-squares_binary64_2434 cancel-sign-sub_binary64_2430 distribute-frac-neg_binary64_2428 distribute-neg-in_binary64_2426 associate--r-_binary64_2404 associate--r+_binary64_2401 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 718 |
| 1 | 97 | 656 |
| 2 | 345 | 636 |
| 3 | 1343 | 633 |
| 4 | 4059 | 633 |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 0 | 83 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 83 | 4 | 87 |
Compiled 1911 to 1072 computations (43.9% saved)
Total 0.1b remaining (98.9%)
Threshold costs 0.1b (98.9%)
Compiled 2358 to 1882 computations (20.2% saved)
| 1× | egg-herbie |
| 3× | sub-neg_binary64_2458 *-commutative_binary64_2396 +-commutative_binary64_2395 |
| 2× | neg-mul-1_binary64_2461 neg-sub0_binary64_2460 |
| 1× | distribute-neg-frac_binary64_2429 |
| 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_2725 if-if-and_binary64_2724 if-if-or-not_binary64_2723 if-if-or_binary64_2722 if-not_binary64_2721 if-same_binary64_2720 if-false_binary64_2719 if-true_binary64_2718 tan-0_binary64_2594 cos-0_binary64_2593 sin-0_binary64_2592 unpow1_binary64_2523 e-exp-1_binary64_2510 1-exp_binary64_2509 exp-1-e_binary64_2508 exp-0_binary64_2507 sqr-abs_binary64_2480 sqr-neg_binary64_2479 unsub-neg_binary64_2459 mul-1-neg_binary64_2457 /-rgt-identity_binary64_2456 *-rgt-identity_binary64_2455 *-lft-identity_binary64_2454 remove-double-neg_binary64_2453 sub0-neg_binary64_2452 --rgt-identity_binary64_2451 +-rgt-identity_binary64_2450 +-lft-identity_binary64_2449 cancel-sign-sub-inv_binary64_2431 cancel-sign-sub_binary64_2430 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-neg-in_binary64_2426 distribute-rgt-neg-out_binary64_2425 distribute-lft-neg-out_binary64_2424 distribute-rgt-neg-in_binary64_2423 distribute-lft-neg-in_binary64_2422 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 11 | 13 |
| 2 | 18 | 13 |
| 3 | 22 | 13 |
| 4 | 25 | 13 |
| 5 | 26 | 13 |
(- f64 (=> (* f64 (/ f64 h0 6) h0)) (/ f64 3 6))
*-commutative_binary64_2396 =>
(- f64 (* f64 h0 (/ f64 h0 6)) (/ f64 3 6)) |
| 1× | intervals |
| 174.0ms | 8000× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 446 to 361 computations (19.1% saved)
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