Details

Time bar (total: 608.0ms)

analyze41.0ms (6.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (2%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify153.0ms (25.1%)

Algorithm
egg-herbie
Rules
count-2_binary64_2413 *-commutative_binary64_2396
associate-*r*_binary64_2405
distribute-rgt-out_binary64_2418 distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414
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 unpow3_binary64_2531 unpow2_binary64_2530 unpow1/2_binary64_2529 pow-plus_binary64_2528 exp-to-pow_binary64_2527 pow-base-1_binary64_2525 unpow0_binary64_2524 unpow1_binary64_2523 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-lft-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 exp-prod_binary64_2517 div-exp_binary64_2516 rec-exp_binary64_2515 prod-exp_binary64_2514 exp-diff_binary64_2513 exp-neg_binary64_2512 exp-sum_binary64_2511 e-exp-1_binary64_2510 1-exp_binary64_2509 exp-1-e_binary64_2508 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-unmult_binary64_2502 cube-mult_binary64_2495 cube-div_binary64_2494 cube-prod_binary64_2493 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 rem-sqrt-square_binary64_2478 rem-square-sqrt_binary64_2477 times-frac_binary64_2471 div-sub_binary64_2470 neg-mul-1_binary64_2461 neg-sub0_binary64_2460 unsub-neg_binary64_2459 sub-neg_binary64_2458 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 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 *-inverses_binary64_2445 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 pow-sqr_binary64_2438 sqr-pow_binary64_2437 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 difference-of-squares_binary64_2434 unswap-sqr_binary64_2433 swap-sqr_binary64_2432 cancel-sign-sub-inv_binary64_2431 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 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 distribute-rgt1-in_binary64_2421 distribute-lft1-in_binary64_2420 distribute-rgt-out--_binary64_2419 distribute-lft-out--_binary64_2417 distribute-lft-out_binary64_2416 associate-/l/_binary64_2412 associate-/r/_binary64_2411 associate-/l*_binary64_2410 associate-/r*_binary64_2409 associate-*l/_binary64_2408 associate-*r/_binary64_2407 associate-*l*_binary64_2406 associate--r-_binary64_2404 associate--l-_binary64_2403 associate--l+_binary64_2402 associate--r+_binary64_2401 associate-+l-_binary64_2400 associate-+r-_binary64_2399 associate-+l+_binary64_2398 associate-+r+_binary64_2397 +-commutative_binary64_2395
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1127
2177
3197

prune1.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.5%)

rewrite0.0ms (0.1%)

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

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (1.3%)

Algorithm
egg-herbie
Rules
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_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 unpow3_binary64_2531 unpow2_binary64_2530 unpow1/2_binary64_2529 pow-plus_binary64_2528 exp-to-pow_binary64_2527 pow-base-1_binary64_2525 unpow0_binary64_2524 unpow1_binary64_2523 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-lft-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 exp-prod_binary64_2517 div-exp_binary64_2516 rec-exp_binary64_2515 prod-exp_binary64_2514 exp-diff_binary64_2513 exp-neg_binary64_2512 exp-sum_binary64_2511 e-exp-1_binary64_2510 1-exp_binary64_2509 exp-1-e_binary64_2508 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-unmult_binary64_2502 cube-mult_binary64_2495 cube-div_binary64_2494 cube-prod_binary64_2493 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 rem-sqrt-square_binary64_2478 rem-square-sqrt_binary64_2477 times-frac_binary64_2471 div-sub_binary64_2470 neg-mul-1_binary64_2461 neg-sub0_binary64_2460 unsub-neg_binary64_2459 sub-neg_binary64_2458 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 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 *-inverses_binary64_2445 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 pow-sqr_binary64_2438 sqr-pow_binary64_2437 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 difference-of-squares_binary64_2434 unswap-sqr_binary64_2433 swap-sqr_binary64_2432 cancel-sign-sub-inv_binary64_2431 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 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 distribute-rgt1-in_binary64_2421 distribute-lft1-in_binary64_2420 distribute-rgt-out--_binary64_2419 distribute-rgt-out_binary64_2418 distribute-lft-out--_binary64_2417 distribute-lft-out_binary64_2416 distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414 count-2_binary64_2413 associate-/l/_binary64_2412 associate-/r/_binary64_2411 associate-/l*_binary64_2410 associate-/r*_binary64_2409 associate-*l/_binary64_2408 associate-*r/_binary64_2407 associate-*l*_binary64_2406 associate-*r*_binary64_2405 associate--r-_binary64_2404 associate--l-_binary64_2403 associate--l+_binary64_2402 associate--r+_binary64_2401 associate-+l-_binary64_2400 associate-+r-_binary64_2399 associate-+l+_binary64_2398 associate-+r+_binary64_2397 *-commutative_binary64_2396 +-commutative_binary64_2395
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000

prune1.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_2396
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 neg-mul-1_binary64_2461 neg-sub0_binary64_2460 unsub-neg_binary64_2459 sub-neg_binary64_2458 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-neg-frac_binary64_2429 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 +-commutative_binary64_2395
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
Proof
(* f64 h0 (+ f64 h1 h1))

end0.0ms (0%)

sample385.0ms (63.4%)

Algorithm
intervals
Results
130.0ms8000×body128valid
1.0ms80×body128invalid
Compiler

Compiled 16 to 15 computations (6.3% saved)

Profiling

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