Details

Time bar (total: 10.5s)

analyze480.0ms (4.6%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64_2396
distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414
+-commutative_binary64_2395
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 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01946
13446
23446
33446
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%37.5%0.1%6
68.7%31.2%0.1%7
68.7%31.2%0.1%8
71.8%28.1%0.1%9
71.8%28.1%0.1%10
73.4%26.5%0.1%11
73.4%26.5%0.1%12
74.1%25.8%0.1%13
74.1%25.8%0.1%14
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample34.0ms (0.3%)

Algorithm
intervals
Results
10.0ms204×body128valid
6.0ms13×body4096valid
4.0ms19×body2048valid
2.0ms12×body1024valid
1.0msbody512valid
0.0msbody256valid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_2396
distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414 +-commutative_binary64_2395
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 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
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
12323
22323
32323

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
38.9b
Counts
2 → 1
Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.0b
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
0.3b
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
29.8b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite100.0ms (1%)

Algorithm
rewrite-expression-head
Error
38.7b
Rules
pow1_binary64_2526 add-log-exp_binary64_2504
*-un-lft-identity_binary64_2465
add-sqr-sqrt_binary64_2487
add-cube-cbrt_binary64_2500
add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 flip3-+_binary64_2468 sqrt-div_binary64_2482 flip-+_binary64_2439 sqrt-prod_binary64_2481
sqrt-pow1_binary64_2483
pow1/2_binary64_2545 sum-log_binary64_2556 +-commutative_binary64_2395 associate-*r/_binary64_2407
rem-sqrt-square_binary64_2478 distribute-lft-out_binary64_2416 pow-prod-down_binary64_2536
Counts
4 → 51
Calls

4 calls:

9.0ms
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
8.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
4.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 1296 to 455 computations (64.9% saved)

series838.0ms (8%)

Error
6.6b
Counts
4 → 57
Calls

4 calls:

361.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
143.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
139.0ms
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
129.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 2316 to 2002 computations (13.6% saved)

simplify111.0ms (1.1%)

Algorithm
egg-herbie
Rules
509×unswap-sqr_binary64_2433
424×associate-*r*_binary64_2405
398×associate-*l*_binary64_2406
235×times-frac_binary64_2471
182×*-commutative_binary64_2396
165×associate-/l*_binary64_2410
144×sub-neg_binary64_2458
142×distribute-rgt-in_binary64_2415
125×div-sub_binary64_2470
120×associate-/r*_binary64_2409
119×distribute-lft-in_binary64_2414
118×cancel-sign-sub-inv_binary64_2431
92×neg-sub0_binary64_2460
86×distribute-rgt-neg-in_binary64_2423
82×neg-mul-1_binary64_2461
75×distribute-lft-neg-in_binary64_2422
69×+-commutative_binary64_2395
67×associate-*l/_binary64_2408
61×sqr-pow_binary64_2437 associate-+l+_binary64_2398
54×associate-*r/_binary64_2407
48×difference-of-squares_binary64_2434 associate-+r+_binary64_2397
34×distribute-neg-frac_binary64_2429 associate-+l-_binary64_2400 associate-+r-_binary64_2399
31×exp-prod_binary64_2517
28×+-rgt-identity_binary64_2450
27×unsub-neg_binary64_2459
25×associate-/r/_binary64_2411
24×cube-unmult_binary64_2502
23×pow-plus_binary64_2528
21×associate--l+_binary64_2402
20×exp-sum_binary64_2511
18×cube-prod_binary64_2493 sub0-neg_binary64_2452
16×distribute-rgt-out_binary64_2418
15×unpow3_binary64_2531
11×distribute-lft-neg-out_binary64_2424
10×mul-1-neg_binary64_2457 pow-sqr_binary64_2438 distribute-rgt-out--_binary64_2419
associate--r+_binary64_2401
rem-sqrt-square_binary64_2478
cube-mult_binary64_2495
unpow2_binary64_2530 cube-div_binary64_2494 distribute-neg-in_binary64_2426 distribute-rgt-neg-out_binary64_2425
unpow1/2_binary64_2529 unpow1_binary64_2523 exp-diff_binary64_2513 rem-square-sqrt_binary64_2477 distribute-lft-out_binary64_2416
prod-exp_binary64_2514 +-inverses_binary64_2444 count-2_binary64_2413
log-prod_binary64_2551 1-exp_binary64_2509 cube-neg_binary64_2492 sqr-neg_binary64_2479 distribute-rgt1-in_binary64_2421 distribute-lft-out--_binary64_2417
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 pow-base-0_binary64_2549 unpow1/3_binary64_2532 exp-to-pow_binary64_2527 pow-base-1_binary64_2525 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-lft-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 div-exp_binary64_2516 rec-exp_binary64_2515 exp-neg_binary64_2512 e-exp-1_binary64_2510 exp-1-e_binary64_2508 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 rem-3cbrt-rft_binary64_2491 rem-3cbrt-lft_binary64_2490 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 /-rgt-identity_binary64_2456 *-rgt-identity_binary64_2455 *-lft-identity_binary64_2454 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 *-inverses_binary64_2445 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 swap-sqr_binary64_2432 cancel-sign-sub_binary64_2430 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420 associate-/l/_binary64_2412 associate--r-_binary64_2404 associate--l-_binary64_2403
Counts
108 → 78
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01461787
13791692
210061677
336881674
447241674
549821674

prune101.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New681078
Fresh000
Picked101
Done000
Total691079
Error
5.9b
Counts
79 → 10
Compiler

Compiled 1571 to 879 computations (44% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
0.4b
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
29.8b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
31.9b
(sqrt.f64 (*.f64 2 (*.f64 im im)))

rewrite203.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
5.9b
Rules
51×add-sqr-sqrt_binary64_2487
50×sqrt-prod_binary64_2481
38×*-un-lft-identity_binary64_2465
36×times-frac_binary64_2471
26×add-cube-cbrt_binary64_2500
12×difference-of-squares_binary64_2434
11×pow1_binary64_2526
associate-/r*_binary64_2409
add-log-exp_binary64_2504 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 distribute-lft-out--_binary64_2417
sqrt-pow1_binary64_2483 sqrt-div_binary64_2482 associate-/l*_binary64_2410
pow-prod-down_binary64_2536 cancel-sign-sub-inv_binary64_2431
pow1/2_binary64_2545 flip3--_binary64_2469 flip--_binary64_2440 associate-/r/_binary64_2411
flip3-+_binary64_2468 flip-+_binary64_2439 rem-sqrt-square_binary64_2478 diff-log_binary64_2557 sub-neg_binary64_2458 div-exp_binary64_2516 cbrt-undiv_binary64_2499 sqrt-undiv_binary64_2486 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462
Counts
4 → 108
Calls

4 calls:

19.0ms
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
9.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
5.0ms
(sqrt.f64 (*.f64 2 (*.f64 im im)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 3656 to 1176 computations (67.8% saved)

series617.0ms (5.9%)

Error
1.8b
Counts
4 → 47
Calls

4 calls:

185.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
174.0ms
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
153.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
46.0ms
(sqrt.f64 (*.f64 2 (*.f64 im im)))
Compiler

Compiled 2453 to 1930 computations (21.3% saved)

simplify221.0ms (2.1%)

Algorithm
egg-herbie
Rules
442×associate-*r*_binary64_2405
426×associate-*l*_binary64_2406
403×times-frac_binary64_2471
323×associate-/l*_binary64_2410
220×associate-/r*_binary64_2409
119×associate-*l/_binary64_2408
111×cancel-sign-sub-inv_binary64_2431
101×neg-mul-1_binary64_2461
98×div-sub_binary64_2470
94×distribute-rgt-neg-in_binary64_2423
89×associate-*r/_binary64_2407
83×distribute-lft-neg-in_binary64_2422
80×sub-neg_binary64_2458 associate-/l/_binary64_2412
68×*-commutative_binary64_2396
63×distribute-rgt-in_binary64_2415
62×associate-/r/_binary64_2411
56×distribute-lft-in_binary64_2414
45×associate-+l-_binary64_2400
43×unswap-sqr_binary64_2433
41×neg-sub0_binary64_2460
39×+-commutative_binary64_2395
38×distribute-neg-frac_binary64_2429
32×sqr-pow_binary64_2437
27×exp-prod_binary64_2517
25×associate--l+_binary64_2402
23×pow-plus_binary64_2528
20×unpow3_binary64_2531
17×associate--r+_binary64_2401
16×cube-unmult_binary64_2502
15×cube-prod_binary64_2493 associate-+l+_binary64_2398
13×unsub-neg_binary64_2459 distribute-lft-neg-out_binary64_2424
11×exp-sum_binary64_2511 difference-of-squares_binary64_2434 distribute-rgt-out_binary64_2418
10×*-rgt-identity_binary64_2455 distribute-neg-in_binary64_2426
rem-sqrt-square_binary64_2478
distribute-rgt-out--_binary64_2419 associate-+r-_binary64_2399
exp-diff_binary64_2513 +-rgt-identity_binary64_2450 distribute-rgt-neg-out_binary64_2425 associate-+r+_binary64_2397
cube-mult_binary64_2495 rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457 /-rgt-identity_binary64_2456
log-div_binary64_2552
unpow2_binary64_2530 unpow1/2_binary64_2529 unpow1_binary64_2523 pow-sqr_binary64_2438
log-prod_binary64_2551 sub0-neg_binary64_2452 swap-sqr_binary64_2432 count-2_binary64_2413 associate--r-_binary64_2404 associate--l-_binary64_2403
div-exp_binary64_2516 1-exp_binary64_2509 cube-div_binary64_2494 rem-3cbrt-lft_binary64_2490 sqr-neg_binary64_2479 *-lft-identity_binary64_2454 +-inverses_binary64_2444 distribute-rgt1-in_binary64_2421 distribute-lft-out--_binary64_2417 distribute-lft-out_binary64_2416
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 pow-base-0_binary64_2549 unpow1/3_binary64_2532 exp-to-pow_binary64_2527 pow-base-1_binary64_2525 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-lft-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 rec-exp_binary64_2515 prod-exp_binary64_2514 exp-neg_binary64_2512 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-neg_binary64_2492 rem-3cbrt-rft_binary64_2491 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 *-inverses_binary64_2445 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 cancel-sign-sub_binary64_2430 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420
Counts
155 → 95
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02224347
14784174
212364153
347254153
449894153
549994153
649484153

prune144.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New89695
Fresh279
Picked101
Done000
Total9213105
Error
1.8b
Counts
105 → 13
Compiler

Compiled 2713 to 1216 computations (55.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (*.f64 (sqrt.f64 2) (fabs.f64 im)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
0.4b
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
0.4b
(*.f64 (sqrt.f64 2) (fabs.f64 im))
29.8b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite155.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
1.8b
Rules
30×add-sqr-sqrt_binary64_2487
22×sqrt-prod_binary64_2481
19×*-un-lft-identity_binary64_2465
13×add-cube-cbrt_binary64_2500
11×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
times-frac_binary64_2471 associate-/r*_binary64_2409
pow1_binary64_2526
add-log-exp_binary64_2504 associate-*l*_binary64_2406 difference-of-squares_binary64_2434
sqrt-div_binary64_2482
associate-*r*_binary64_2405 cancel-sign-sub-inv_binary64_2431 distribute-lft-out--_binary64_2417
prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433 flip3--_binary64_2469 flip--_binary64_2440 div-exp_binary64_2516 cbrt-undiv_binary64_2499 associate-/r/_binary64_2411
pow1/2_binary64_2545 sqrt-pow1_binary64_2483 flip3-+_binary64_2468 flip-+_binary64_2439 rem-sqrt-square_binary64_2478 pow-prod-down_binary64_2536 *-commutative_binary64_2396 diff-log_binary64_2557 sub-neg_binary64_2458 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462 associate-/l*_binary64_2410
Counts
4 → 89
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (sqrt.f64 2) (fabs.f64 im)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
9.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
6.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 im))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 2639 to 894 computations (66.1% saved)

series577.0ms (5.5%)

Error
0.3b
Counts
4 → 45
Calls

4 calls:

186.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
147.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
143.0ms
(/.f64 (*.f64 (sqrt.f64 2) (fabs.f64 im)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
45.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 im))
Compiler

Compiled 2350 to 1873 computations (20.3% saved)

simplify169.0ms (1.6%)

Algorithm
egg-herbie
Rules
399×associate-/r*_binary64_2409
331×associate-*l/_binary64_2408
318×*-commutative_binary64_2396
265×associate-/l/_binary64_2412
259×associate-*r/_binary64_2407
249×associate-/r/_binary64_2411
145×div-sub_binary64_2470
133×cancel-sign-sub-inv_binary64_2431
120×neg-sub0_binary64_2460
118×neg-mul-1_binary64_2461
110×associate-/l*_binary64_2410
109×distribute-rgt-neg-in_binary64_2423
98×distribute-lft-neg-in_binary64_2422 associate-*r*_binary64_2405
89×associate-*l*_binary64_2406
88×sub-neg_binary64_2458
73×times-frac_binary64_2471
67×unswap-sqr_binary64_2433
64×distribute-rgt-in_binary64_2415
57×distribute-lft-in_binary64_2414
53×associate-+l+_binary64_2398
50×log-div_binary64_2552 associate-+l-_binary64_2400
48×distribute-neg-frac_binary64_2429
45×exp-prod_binary64_2517 cube-prod_binary64_2493
42×associate-+r-_binary64_2399 associate-+r+_binary64_2397
41×log-prod_binary64_2551
39×cube-div_binary64_2494
38×sqr-pow_binary64_2437 +-commutative_binary64_2395
34×associate--l+_binary64_2402
32×unpow3_binary64_2531
23×*-rgt-identity_binary64_2455
21×difference-of-squares_binary64_2434
17×associate--r+_binary64_2401
16×/-rgt-identity_binary64_2456
15×distribute-lft-neg-out_binary64_2424
14×unsub-neg_binary64_2459
13×distribute-rgt-out_binary64_2418
12×log-rec_binary64_2553 pow-plus_binary64_2528 exp-sum_binary64_2511 cube-unmult_binary64_2502 cube-mult_binary64_2495
10×distribute-neg-in_binary64_2426
*-lft-identity_binary64_2454 distribute-rgt-out--_binary64_2419
associate--l-_binary64_2403
rem-sqrt-square_binary64_2478
exp-diff_binary64_2513 +-rgt-identity_binary64_2450 distribute-rgt-neg-out_binary64_2425
mul-1-neg_binary64_2457 pow-sqr_binary64_2438 swap-sqr_binary64_2432
unpow1/2_binary64_2529 rem-square-sqrt_binary64_2477
log-pow_binary64_2554 unpow2_binary64_2530 unpow1_binary64_2523
sub0-neg_binary64_2452 distribute-lft-out--_binary64_2417 count-2_binary64_2413 associate--r-_binary64_2404
div-exp_binary64_2516 1-exp_binary64_2509 exp-1-e_binary64_2508 rem-3cbrt-lft_binary64_2490 sqr-abs_binary64_2480 sqr-neg_binary64_2479 *-inverses_binary64_2445 +-inverses_binary64_2444 distribute-rgt1-in_binary64_2421 distribute-lft-out_binary64_2416
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 exp-to-pow_binary64_2527 pow-base-1_binary64_2525 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-lft-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 rec-exp_binary64_2515 prod-exp_binary64_2514 exp-neg_binary64_2512 e-exp-1_binary64_2510 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-neg_binary64_2492 rem-3cbrt-rft_binary64_2491 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 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 cancel-sign-sub_binary64_2430 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420
Counts
134 → 90
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02052833
14902613
215912586
344112586
449962586
549972586
649542586

prune129.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86490
Fresh4812
Picked101
Done000
Total9112103
Error
0.3b
Counts
103 → 12
Compiler

Compiled 2404 to 1144 computations (52.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 im) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 im) (sqrt.f64 (sqrt.f64 2))))
0.4b
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
29.8b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite217.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
27×sqrt-prod_binary64_2481
26×add-sqr-sqrt_binary64_2487
19×*-un-lft-identity_binary64_2465
18×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
13×add-cube-cbrt_binary64_2500
10×pow1_binary64_2526
associate-*l*_binary64_2406 times-frac_binary64_2471 associate-/r*_binary64_2409
add-log-exp_binary64_2504 difference-of-squares_binary64_2434 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
sqrt-div_binary64_2482
cancel-sign-sub-inv_binary64_2431 distribute-lft-out--_binary64_2417 pow-prod-down_binary64_2536 div-exp_binary64_2516 cbrt-undiv_binary64_2499
flip3--_binary64_2469 flip--_binary64_2440 associate-/r/_binary64_2411
pow1/2_binary64_2545 sqrt-pow1_binary64_2483 flip3-+_binary64_2468 flip-+_binary64_2439 rem-sqrt-square_binary64_2478 diff-log_binary64_2557 sub-neg_binary64_2458 associate-*r*_binary64_2405 *-commutative_binary64_2396 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462 associate-/l*_binary64_2410
Counts
4 → 93
Calls

4 calls:

19.0ms
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 im) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
11.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 im) (sqrt.f64 (sqrt.f64 2))))
9.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 3330 to 1521 computations (54.3% saved)

series581.0ms (5.5%)

Error
0.3b
Counts
4 → 45
Calls

4 calls:

181.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
155.0ms
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 im) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
143.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
40.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 im) (sqrt.f64 (sqrt.f64 2))))
Compiler

Compiled 2750 to 2273 computations (17.3% saved)

simplify123.0ms (1.2%)

Algorithm
egg-herbie
Rules
518×associate-/r*_binary64_2409
328×associate-*l/_binary64_2408
295×associate-*r/_binary64_2407
260×associate-/r/_binary64_2411
228×associate-/l/_binary64_2412
202×div-sub_binary64_2470
133×cancel-sign-sub-inv_binary64_2431
131×associate-*r*_binary64_2405
122×associate-*l*_binary64_2406
111×distribute-rgt-neg-in_binary64_2423
109×associate-/l*_binary64_2410
98×distribute-lft-neg-in_binary64_2422
92×times-frac_binary64_2471
91×*-commutative_binary64_2396
90×sub-neg_binary64_2458
64×distribute-rgt-in_binary64_2415
62×unswap-sqr_binary64_2433
57×distribute-lft-in_binary64_2414
52×associate-+l-_binary64_2400
44×distribute-neg-frac_binary64_2429
43×neg-sub0_binary64_2460
41×neg-mul-1_binary64_2461
40×log-div_binary64_2552 +-commutative_binary64_2395
39×exp-prod_binary64_2517
37×sqr-pow_binary64_2437
34×associate--l+_binary64_2402
32×cube-div_binary64_2494
26×cube-prod_binary64_2493
22×log-prod_binary64_2551
21×difference-of-squares_binary64_2434
17×unpow3_binary64_2531 associate--r+_binary64_2401
16×distribute-lft-neg-out_binary64_2424
15×*-rgt-identity_binary64_2455
14×cube-unmult_binary64_2502 unsub-neg_binary64_2459 associate-+l+_binary64_2398
13×distribute-rgt-out_binary64_2418
12×swap-sqr_binary64_2432
11×pow-plus_binary64_2528 exp-sum_binary64_2511 cube-mult_binary64_2495
10×distribute-neg-in_binary64_2426
distribute-rgt-out--_binary64_2419
rem-sqrt-square_binary64_2478 associate--l-_binary64_2403 associate-+r-_binary64_2399
exp-diff_binary64_2513 +-rgt-identity_binary64_2450 pow-sqr_binary64_2438 distribute-rgt-neg-out_binary64_2425 associate-+r+_binary64_2397
rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457
log-rec_binary64_2553 unpow2_binary64_2530 unpow1/2_binary64_2529 unpow1_binary64_2523 count-2_binary64_2413
log-pow_binary64_2554 /-rgt-identity_binary64_2456 sub0-neg_binary64_2452 distribute-lft-out--_binary64_2417 associate--r-_binary64_2404
div-exp_binary64_2516 1-exp_binary64_2509 rem-3cbrt-lft_binary64_2490 sqr-abs_binary64_2480 sqr-neg_binary64_2479 *-lft-identity_binary64_2454 *-inverses_binary64_2445 +-inverses_binary64_2444 distribute-rgt1-in_binary64_2421 distribute-lft-out_binary64_2416
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 exp-to-pow_binary64_2527 pow-base-1_binary64_2525 unpow0_binary64_2524 unpow-1_binary64_2522 exp-lft-cube_binary64_2521 exp-lft-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 rec-exp_binary64_2515 prod-exp_binary64_2514 exp-neg_binary64_2512 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-neg_binary64_2492 rem-3cbrt-rft_binary64_2491 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 mul0-rgt_binary64_2448 mul0-lft_binary64_2447 div0_binary64_2446 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 cancel-sign-sub_binary64_2430 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420
Counts
138 → 100
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02143506
15362803
216922776
346072776
451202776

prune138.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh4711
Picked101
Done000
Total1039112
Error
0.3b
Counts
112 → 9
Compiler

Compiled 2744 to 1360 computations (50.4% saved)

regimes2.4s (22.5%)

Accuracy

Total 18.0b remaining (98.4%)

Threshold costs 0b (0%)

Compiler

Compiled 17255 to 12509 computations (27.5% saved)

bsearch153.0ms (1.5%)

Steps
ItersRangePoint
8
5.216360071078881e+111
1.6643253300289208e+115
1.6419980517252478e+115
8
2.879478217861312e-168
4.144393365550217e-164
3.0513166345511567e-168
9
1.0908792608180648e-262
1.1286176350363027e-256
8.65010257179912e-262
6
-2.88257635599558e-225
-5.432186736640155e-226
-5.497046773567483e-226
11
-1.9249797512418465e+106
-2.5571736855875688e+85
-2.0399582988562903e+105
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×*-commutative_binary64_2396
+-commutative_binary64_2395
sub-neg_binary64_2458
neg-sub0_binary64_2460
1-exp_binary64_2509 neg-mul-1_binary64_2461 unsub-neg_binary64_2459 mul-1-neg_binary64_2457 /-rgt-identity_binary64_2456
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 exp-1-e_binary64_2508 exp-0_binary64_2507 sqr-abs_binary64_2480 sqr-neg_binary64_2479 *-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
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059146
183144
288144
391144
493144
592144

end0.0ms (0%)

sample3.0s (28.4%)

Algorithm
intervals
Results
291.0ms6102×body128valid
157.0ms525×body4096valid
154.0ms639×body2048valid
75.0ms404×body1024valid
29.0ms219×body512valid
13.0ms111×body256valid
Compiler

Compiled 2374 to 1736 computations (26.9% saved)

Profiling

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