Details

Time bar (total: 5.8s)

analyze349.0ms (6%)

Algorithm
search
egg-herbie
Rules
511×unsub-neg_binary64_2459
501×sub-neg_binary64_2458
352×associate--l+_binary64_2402
328×associate-+l+_binary64_2398
312×neg-mul-1_binary64_2461
308×neg-sub0_binary64_2460
296×associate-+r+_binary64_2397
251×associate-*l*_binary64_2406
245×distribute-rgt-neg-in_binary64_2423
243×distribute-rgt-in_binary64_2415
232×distribute-rgt-out_binary64_2418
217×associate-*r*_binary64_2405
205×distribute-neg-in_binary64_2426
185×distribute-lft-in_binary64_2414
179×*-commutative_binary64_2396
144×associate-+l-_binary64_2400
131×+-commutative_binary64_2395
101×distribute-lft-neg-out_binary64_2424
92×associate-+r-_binary64_2399
88×distribute-rgt-neg-out_binary64_2425
84×unswap-sqr_binary64_2433
81×cancel-sign-sub-inv_binary64_2431
58×associate--r+_binary64_2401
40×*-rgt-identity_binary64_2455
36×cancel-sign-sub_binary64_2430
28×distribute-lft-out_binary64_2416
27×*-lft-identity_binary64_2454
23×remove-double-neg_binary64_2453
22×associate--r-_binary64_2404
20×sub0-neg_binary64_2452 sqr-pow_binary64_2437 distribute-lft-neg-in_binary64_2422
16×+-rgt-identity_binary64_2450
10×pow-plus_binary64_2528
mul0-rgt_binary64_2448 mul0-lft_binary64_2447 difference-of-sqr--1_binary64_2436
cube-unmult_binary64_2502 difference-of-squares_binary64_2434 swap-sqr_binary64_2432 distribute-lft1-in_binary64_2420
unpow2_binary64_2530 rem-sqrt-square_binary64_2478 difference-of-sqr-1_binary64_2435
unpow3_binary64_2531 mul-1-neg_binary64_2457
cube-prod_binary64_2493 --rgt-identity_binary64_2451 distribute-neg-out_binary64_2427 distribute-rgt1-in_binary64_2421
unpow1/2_binary64_2529 unpow1_binary64_2523 1-exp_binary64_2509 pow-sqr_binary64_2438
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 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 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 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 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-square-sqrt_binary64_2477 times-frac_binary64_2471 div-sub_binary64_2470 /-rgt-identity_binary64_2456 +-lft-identity_binary64_2449 div0_binary64_2446 *-inverses_binary64_2445 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 distribute-rgt-out--_binary64_2419 distribute-lft-out--_binary64_2417 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_2403
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02986
19086
225886
366086
4191286
5340586
6457386
7499486
8500086
9492386
022
122
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
25%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 30 to 20 computations (33.3% saved)

sample26.0ms (0.4%)

Algorithm
intervals
Results
15.0ms256×body128valid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify78.0ms (1.3%)

Algorithm
egg-herbie
Rules
705×unsub-neg_binary64_2459
556×cancel-sign-sub-inv_binary64_2431
344×+-commutative_binary64_2395
342×distribute-rgt-in_binary64_2415
317×sub-neg_binary64_2458
271×associate-*l*_binary64_2406
266×distribute-rgt-neg-in_binary64_2423
248×distribute-lft-in_binary64_2414
233×neg-sub0_binary64_2460
226×neg-mul-1_binary64_2461
213×associate-*r*_binary64_2405
206×distribute-lft-neg-in_binary64_2422
185×associate--l+_binary64_2402
173×associate-+l+_binary64_2398
162×unswap-sqr_binary64_2433
155×distribute-rgt-out_binary64_2418
153×distribute-neg-in_binary64_2426
151×associate-+r+_binary64_2397
102×*-commutative_binary64_2396
76×distribute-lft-out_binary64_2416
73×associate-+l-_binary64_2400
64×distribute-lft-neg-out_binary64_2424
48×associate-+r-_binary64_2399
45×difference-of-sqr--1_binary64_2436
44×remove-double-neg_binary64_2453
43×distribute-rgt-neg-out_binary64_2425
41×*-rgt-identity_binary64_2455
38×associate--r+_binary64_2401
31×sqr-pow_binary64_2437
29×*-lft-identity_binary64_2454
16×cube-prod_binary64_2493
13×pow-plus_binary64_2528
11×sub0-neg_binary64_2452 associate--r-_binary64_2404
mul-1-neg_binary64_2457 +-rgt-identity_binary64_2450 distribute-rgt-out--_binary64_2419
mul0-rgt_binary64_2448 mul0-lft_binary64_2447 distribute-lft1-in_binary64_2420
unpow3_binary64_2531 cube-unmult_binary64_2502 swap-sqr_binary64_2432 distribute-rgt1-in_binary64_2421
unpow2_binary64_2530 sqr-neg_binary64_2479 difference-of-sqr-1_binary64_2435 distribute-lft-out--_binary64_2417
difference-of-squares_binary64_2434
unpow1_binary64_2523 cube-neg_binary64_2492 rem-sqrt-square_binary64_2478 pow-sqr_binary64_2438
cube-mult_binary64_2495
unpow1/2_binary64_2529 1-exp_binary64_2509 --rgt-identity_binary64_2451 cancel-sign-sub_binary64_2430 distribute-neg-out_binary64_2427
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 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 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 exp-1-e_binary64_2508 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 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-square-sqrt_binary64_2477 times-frac_binary64_2471 div-sub_binary64_2470 /-rgt-identity_binary64_2456 +-lft-identity_binary64_2449 div0_binary64_2446 *-inverses_binary64_2445 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 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_2403
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01943
15543
215043
338943
4108343
5223143
6432843
7471443
8491543

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))
0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.9b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite306.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
19×add-sqr-sqrt_binary64_2487
18×associate-*r/_binary64_2407
17×pow1_binary64_2526 add-exp-log_binary64_2503 *-un-lft-identity_binary64_2465
16×add-cbrt-cube_binary64_2501
13×associate-*r*_binary64_2405
12×add-cube-cbrt_binary64_2500
pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414 cancel-sign-sub-inv_binary64_2431
associate-*l*_binary64_2406
add-log-exp_binary64_2504 flip3-+_binary64_2468 flip-+_binary64_2439 frac-add_binary64_2473
unswap-sqr_binary64_2433 *-commutative_binary64_2396 unpow-prod-down_binary64_2544 pow-unpow_binary64_2542 flip3--_binary64_2469 flip--_binary64_2440
sub-neg_binary64_2458 difference-of-squares_binary64_2434
distribute-lft-out_binary64_2416 pow-pow_binary64_2537 pow-to-exp_binary64_2534 pow-exp_binary64_2533 unpow2_binary64_2530 sqr-pow_binary64_2437 distribute-lft-out--_binary64_2417
Counts
4 → 100
Calls

4 calls:

15.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))
13.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3633 to 1878 computations (48.3% saved)

series763.0ms (13.1%)

Error
0.0b
Counts
4 → 43
Calls

4 calls:

293.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
258.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))
97.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
71.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 2441 to 1797 computations (26.4% saved)

simplify114.0ms (2%)

Algorithm
egg-herbie
Rules
403×associate-*l*_binary64_2406
324×associate-*r*_binary64_2405
283×exp-prod_binary64_2517
232×associate-+l+_binary64_2398
223×associate-+r+_binary64_2397
206×*-commutative_binary64_2396
168×distribute-rgt-in_binary64_2415
163×+-commutative_binary64_2395
160×distribute-lft-in_binary64_2414
137×exp-sum_binary64_2511
126×unswap-sqr_binary64_2433
122×neg-mul-1_binary64_2461
121×neg-sub0_binary64_2460
106×cancel-sign-sub-inv_binary64_2431
85×log-prod_binary64_2551
79×distribute-rgt-neg-in_binary64_2423
71×cube-prod_binary64_2493 distribute-rgt-out_binary64_2418
70×sqr-pow_binary64_2437
62×distribute-lft-neg-in_binary64_2422
49×distribute-rgt-neg-out_binary64_2425 distribute-lft-neg-out_binary64_2424
34×*-lft-identity_binary64_2454
33×sub-neg_binary64_2458
32×exp-diff_binary64_2513
30×distribute-lft-out_binary64_2416
22×*-rgt-identity_binary64_2455 distribute-neg-in_binary64_2426 associate--r+_binary64_2401
20×swap-sqr_binary64_2432
19×pow-plus_binary64_2528 associate--l+_binary64_2402
18×associate-+l-_binary64_2400
17×unpow3_binary64_2531
16×log-pow_binary64_2554
15×rem-sqrt-square_binary64_2478
14×cube-unmult_binary64_2502 associate-+r-_binary64_2399
13×exp-neg_binary64_2512
12×distribute-rgt-out--_binary64_2419
11×unsub-neg_binary64_2459 pow-sqr_binary64_2438
cube-mult_binary64_2495
unpow1/2_binary64_2529
unpow2_binary64_2530 div-sub_binary64_2470
unpow1_binary64_2523
difference-of-squares_binary64_2434 distribute-rgt1-in_binary64_2421 distribute-lft-out--_binary64_2417
exp-lft-cube_binary64_2521 associate-/l/_binary64_2412 associate-*r/_binary64_2407 associate--l-_binary64_2403
rem-square-sqrt_binary64_2477 count-2_binary64_2413
1-exp_binary64_2509 exp-1-e_binary64_2508 rem-3cbrt-rft_binary64_2491 rem-3cbrt-lft_binary64_2490 mul-1-neg_binary64_2457 associate-/r/_binary64_2411 associate-/l*_binary64_2410
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-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-sqr_binary64_2520 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-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-div_binary64_2494 cube-neg_binary64_2492 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 sqr-neg_binary64_2479 times-frac_binary64_2471 /-rgt-identity_binary64_2456 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 difference-of-sqr--1_binary64_2436 difference-of-sqr-1_binary64_2435 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420 associate-/r*_binary64_2409 associate-*l/_binary64_2408 associate--r-_binary64_2404
Counts
143 → 122
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02352509
16462319
222992310
342192303
449302303

prune166.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh000
Picked101
Done000
Total1212123
Error
0.0b
Counts
123 → 2
Compiler

Compiled 2669 to 1409 computations (47.2% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.2b
(*.f64 a (*.f64 a (*.f64 b b)))
0.8b
(*.f64 a (*.f64 b b))
0.9b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite254.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
16×add-sqr-sqrt_binary64_2487
15×pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 *-un-lft-identity_binary64_2465
12×associate-*r*_binary64_2405
10×add-cube-cbrt_binary64_2500
associate-*l*_binary64_2406
cancel-sign-sub-inv_binary64_2431
distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414
add-log-exp_binary64_2504 associate-*r/_binary64_2407 *-commutative_binary64_2396
unswap-sqr_binary64_2433
sub-neg_binary64_2458 difference-of-squares_binary64_2434
flip3-+_binary64_2468 flip-+_binary64_2439 distribute-lft-out_binary64_2416 flip3--_binary64_2469 flip--_binary64_2440 distribute-lft-out--_binary64_2417
Counts
4 → 96
Calls

4 calls:

10.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
9.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
6.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 3667 to 1977 computations (46.1% saved)

series421.0ms (7.2%)

Error
0.0b
Counts
4 → 26
Calls

4 calls:

114.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
109.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
96.0ms
(*.f64 a (*.f64 b b))
79.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 2072 to 1529 computations (26.2% saved)

simplify126.0ms (2.2%)

Algorithm
egg-herbie
Rules
415×distribute-rgt-in_binary64_2415
398×distribute-lft-in_binary64_2414
318×associate-*l*_binary64_2406
267×exp-prod_binary64_2517
264×associate-*r*_binary64_2405
216×unsub-neg_binary64_2459
214×distribute-rgt-neg-out_binary64_2425
208×distribute-lft-neg-out_binary64_2424
156×unswap-sqr_binary64_2433
139×*-commutative_binary64_2396
126×sqr-pow_binary64_2437
122×log-prod_binary64_2551
89×cube-prod_binary64_2493
70×distribute-rgt-neg-in_binary64_2423
68×*-lft-identity_binary64_2454
65×swap-sqr_binary64_2432
64×*-rgt-identity_binary64_2455
60×distribute-lft-neg-in_binary64_2422
54×exp-neg_binary64_2512
53×neg-mul-1_binary64_2461 neg-sub0_binary64_2460
43×exp-sum_binary64_2511
36×exp-diff_binary64_2513
33×unpow3_binary64_2531
31×sub-neg_binary64_2458
29×pow-sqr_binary64_2438
28×+-commutative_binary64_2395
27×cube-mult_binary64_2495
26×associate-+l+_binary64_2398
25×cancel-sign-sub-inv_binary64_2431 associate-+r+_binary64_2397
17×pow-plus_binary64_2528
15×cube-unmult_binary64_2502
13×log-pow_binary64_2554
12×mul0-rgt_binary64_2448 mul0-lft_binary64_2447
11×unpow1/2_binary64_2529 distribute-rgt-out_binary64_2418
difference-of-squares_binary64_2434 associate-/l*_binary64_2410
div-sub_binary64_2470 sub0-neg_binary64_2452 associate-+l-_binary64_2400
rem-sqrt-square_binary64_2478 distribute-neg-in_binary64_2426 distribute-lft-out_binary64_2416
difference-of-sqr-1_binary64_2435 distribute-rgt-out--_binary64_2419 associate-+r-_binary64_2399
unpow2_binary64_2530 unpow1_binary64_2523 exp-lft-cube_binary64_2521 +-rgt-identity_binary64_2450 count-2_binary64_2413
prod-exp_binary64_2514 1-exp_binary64_2509 exp-1-e_binary64_2508 rem-3cbrt-lft_binary64_2490 sqr-neg_binary64_2479 rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457 distribute-rgt1-in_binary64_2421
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-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-sqr_binary64_2520 exp-cbrt_binary64_2519 exp-sqrt_binary64_2518 div-exp_binary64_2516 rec-exp_binary64_2515 e-exp-1_binary64_2510 exp-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-div_binary64_2494 cube-neg_binary64_2492 rem-3cbrt-rft_binary64_2491 rem-cbrt-cube_binary64_2489 rem-cube-cbrt_binary64_2488 sqr-abs_binary64_2480 times-frac_binary64_2471 /-rgt-identity_binary64_2456 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 div0_binary64_2446 *-inverses_binary64_2445 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 difference-of-sqr--1_binary64_2436 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420 distribute-lft-out--_binary64_2417 associate-/l/_binary64_2412 associate-/r/_binary64_2411 associate-/r*_binary64_2409 associate-*l/_binary64_2408 associate-*r/_binary64_2407 associate--r-_binary64_2404 associate--l-_binary64_2403 associate--l+_binary64_2402 associate--r+_binary64_2401
Counts
122 → 94
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01531527
13921276
213261241
333141219
445651219
549891219
649291219

prune122.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done000
Total94296
Error
0.0b
Counts
96 → 2
Compiler

Compiled 1880 to 1073 computations (42.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.2b
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 6)
0.9b
(*.f64 (*.f64 b b) (+.f64 3 a))
25.5b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 6))

rewrite220.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64_2487 *-un-lft-identity_binary64_2465
15×pow1_binary64_2526 add-exp-log_binary64_2503
14×add-cbrt-cube_binary64_2501
12×add-cube-cbrt_binary64_2500
10×associate-*r*_binary64_2405
cbrt-prod_binary64_2496
unpow-prod-down_binary64_2544 pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 cancel-sign-sub-inv_binary64_2431
distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414
add-log-exp_binary64_2504 associate-*r/_binary64_2407
pow-unpow_binary64_2542
sqr-pow_binary64_2437 unswap-sqr_binary64_2433 associate-*l*_binary64_2406 *-commutative_binary64_2396 sub-neg_binary64_2458 difference-of-squares_binary64_2434
pow1/3_binary64_2547 flip3-+_binary64_2468 flip-+_binary64_2439 distribute-lft-out_binary64_2416 pow-pow_binary64_2537 pow-to-exp_binary64_2534 pow-exp_binary64_2533 flip3--_binary64_2469 flip--_binary64_2440 distribute-lft-out--_binary64_2417
Counts
4 → 88
Calls

4 calls:

10.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
5.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 6))
5.0ms
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 6)
Compiler

Compiled 3050 to 1567 computations (48.6% saved)

series583.0ms (10%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

306.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 6))
106.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
74.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
68.0ms
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 6)
Compiler

Compiled 2262 to 1671 computations (26.1% saved)

simplify116.0ms (2%)

Algorithm
egg-herbie
Rules
493×distribute-rgt-in_binary64_2415
471×distribute-lft-in_binary64_2414
467×exp-prod_binary64_2517
396×*-commutative_binary64_2396
231×associate-*l*_binary64_2406
222×log-prod_binary64_2551
197×unsub-neg_binary64_2459
190×distribute-rgt-neg-out_binary64_2425
183×distribute-lft-neg-out_binary64_2424
177×associate-*r*_binary64_2405
170×sqr-pow_binary64_2437
132×unswap-sqr_binary64_2433
122×swap-sqr_binary64_2432
92×exp-sum_binary64_2511
87×cube-prod_binary64_2493
64×unpow3_binary64_2531
52×*-lft-identity_binary64_2454
51×pow-sqr_binary64_2438
48×log-pow_binary64_2554
47×neg-mul-1_binary64_2461 neg-sub0_binary64_2460
45×*-rgt-identity_binary64_2455
34×pow-plus_binary64_2528
31×sub-neg_binary64_2458
29×cancel-sign-sub-inv_binary64_2431
28×+-commutative_binary64_2395
24×cube-unmult_binary64_2502
23×distribute-rgt-out_binary64_2418
21×associate-+l+_binary64_2398
20×associate-+r+_binary64_2397
13×exp-diff_binary64_2513
12×cube-mult_binary64_2495 mul0-rgt_binary64_2448 mul0-lft_binary64_2447
11×unpow1/2_binary64_2529 distribute-rgt-neg-in_binary64_2423
rem-sqrt-square_binary64_2478 distribute-lft-neg-in_binary64_2422
exp-neg_binary64_2512 difference-of-squares_binary64_2434
distribute-lft-out_binary64_2416
div-sub_binary64_2470 sub0-neg_binary64_2452 associate-+l-_binary64_2400
unpow2_binary64_2530 distribute-neg-in_binary64_2426 count-2_binary64_2413
unpow1_binary64_2523 rem-cbrt-cube_binary64_2489 difference-of-sqr-1_binary64_2435 distribute-rgt-out--_binary64_2419 associate-/l/_binary64_2412 associate-*r/_binary64_2407 associate-+r-_binary64_2399
exp-lft-cube_binary64_2521 rem-3cbrt-lft_binary64_2490 +-rgt-identity_binary64_2450
1-exp_binary64_2509 exp-1-e_binary64_2508 rem-cube-cbrt_binary64_2488 sqr-neg_binary64_2479 rem-square-sqrt_binary64_2477 mul-1-neg_binary64_2457 distribute-rgt1-in_binary64_2421 associate-/r/_binary64_2411 associate-/l*_binary64_2410
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-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-sqr_binary64_2520 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-0_binary64_2507 rem-log-exp_binary64_2506 rem-exp-log_binary64_2505 cube-div_binary64_2494 cube-neg_binary64_2492 rem-3cbrt-rft_binary64_2491 sqr-abs_binary64_2480 times-frac_binary64_2471 /-rgt-identity_binary64_2456 remove-double-neg_binary64_2453 --rgt-identity_binary64_2451 +-lft-identity_binary64_2449 div0_binary64_2446 *-inverses_binary64_2445 +-inverses_binary64_2444 lft-mult-inverse_binary64_2443 rgt-mult-inverse_binary64_2442 remove-double-div_binary64_2441 difference-of-sqr--1_binary64_2436 cancel-sign-sub_binary64_2430 distribute-neg-frac_binary64_2429 distribute-frac-neg_binary64_2428 distribute-neg-out_binary64_2427 distribute-lft1-in_binary64_2420 distribute-lft-out--_binary64_2417 associate-/r*_binary64_2409 associate-*l/_binary64_2408 associate--r-_binary64_2404 associate--l-_binary64_2403 associate--l+_binary64_2402 associate--r+_binary64_2401
Counts
126 → 101
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01761872
14101722
212111659
330441627
446341627
550131627

prune122.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done011
Total1012103
Error
0.0b
Counts
103 → 2
Compiler

Compiled 1897 to 990 computations (47.8% saved)

regimes1.1s (19.7%)

Accuracy

Total 0.0b remaining (77.2%)

Threshold costs 0.0b (77.2%)

Compiler

Compiled 12990 to 9065 computations (30.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_2396 +-commutative_binary64_2395
sub-neg_binary64_2458
1-exp_binary64_2509 neg-mul-1_binary64_2461 neg-sub0_binary64_2460
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 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-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: 0 (0.0ms)

IterNodesCost
02352
14052
24452
34652
44752
54552

end2.0ms (0%)

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample859.0ms (14.7%)

Algorithm
intervals
Results
487.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 135 to 102 computations (24.4% saved)

Profiling

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