Details

Time bar (total: 4.8s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
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
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.2%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify656.0ms (13.6%)

Algorithm
egg-herbie
Rules
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
cube-unmult_binary64_2502 sub0-neg_binary64_2452
*-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
associate-*l*_binary64_2406
mul0-rgt_binary64_2448 div0_binary64_2446 cancel-sign-sub_binary64_2430 distribute-lft1-in_binary64_2420
sqr-neg_binary64_2479 +-lft-identity_binary64_2449 +-inverses_binary64_2444 distribute-lft-out--_binary64_2417 distribute-lft-out_binary64_2416
exp-neg_binary64_2512 cube-prod_binary64_2493 --rgt-identity_binary64_2451 associate-*l/_binary64_2408
unpow3_binary64_2531 1-exp_binary64_2509 cube-neg_binary64_2492 difference-of-sqr--1_binary64_2436 difference-of-squares_binary64_2434
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
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22110
33310
45910
58610
616510
739510
8217310
9425910

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite44.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_2487
12×times-frac_binary64_2471
10×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
difference-of-squares_binary64_2434 associate-/l*_binary64_2410
add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 associate-/r*_binary64_2409
associate-/l/_binary64_2412
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
Counts
1 → 34
Calls

1 calls:

7.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
Compiler

Compiled 535 to 366 computations (31.6% saved)

series78.0ms (1.6%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

73.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
Compiler

Compiled 85 to 82 computations (3.5% saved)

simplify131.0ms (2.7%)

Algorithm
egg-herbie
Rules
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
exp-sqrt_binary64_2518 div-exp_binary64_2516 prod-exp_binary64_2514 associate--r-_binary64_2404
*-rgt-identity_binary64_2455
distribute-neg-out_binary64_2427 associate--r+_binary64_2401
unpow3_binary64_2531 sqr-neg_binary64_2479 sub0-neg_binary64_2452 distribute-rgt-out--_binary64_2419
log-pow_binary64_2554 exp-to-pow_binary64_2527 cube-mult_binary64_2495 distribute-rgt1-in_binary64_2421
rec-exp_binary64_2515 +-rgt-identity_binary64_2450
log-rec_binary64_2553 distribute-neg-in_binary64_2426 distribute-lft-out--_binary64_2417 count-2_binary64_2413
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
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
Counts
40 → 27
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080675
1181630
2445628
31117628
44401628

prune34.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428
Error
0b
Counts
28 → 4
Compiler

Compiled 465 to 311 computations (33.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (/.f64 x 6) x)

rewrite41.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_2487
13×associate-*l*_binary64_2406
10×times-frac_binary64_2471
add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
pow1_binary64_2526 associate-*r*_binary64_2405
prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433
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
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 (/.f64 x 6) x)
Compiler

Compiled 501 to 367 computations (26.7% saved)

series41.0ms (0.8%)

Error
0b
Counts
1 → 3
Calls

1 calls:

38.0ms
(*.f64 (/.f64 x 6) x)
Compiler

Compiled 81 to 79 computations (2.5% saved)

simplify132.0ms (2.7%)

Algorithm
egg-herbie
Rules
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
+-commutative_binary64_2395
neg-mul-1_binary64_2461 unsub-neg_binary64_2459 distribute-rgt1-in_binary64_2421
prod-exp_binary64_2514 neg-sub0_binary64_2460
exp-diff_binary64_2513 count-2_binary64_2413
rem-sqrt-square_binary64_2478 distribute-lft-neg-in_binary64_2422
exp-to-pow_binary64_2527 distribute-rgt-neg-in_binary64_2423 distribute-lft-out_binary64_2416
distribute-rgt-neg-out_binary64_2425 distribute-rgt-out--_binary64_2419
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
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
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
Counts
35 → 74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064387
1146322
2368322
31104322
42853322
54743322

prune72.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh112
Picked011
Done011
Total74478
Error
0b
Counts
78 → 4
Compiler

Compiled 1211 to 879 computations (27.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 x (/.f64 6 x))

rewrite81.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
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
add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
div-inv_binary64_2462
div-exp_binary64_2516 cbrt-undiv_binary64_2499 associate-/l*_binary64_2410
pow1_binary64_2526 add-log-exp_binary64_2504 frac-2neg_binary64_2476 clear-num_binary64_2464 associate-/r/_binary64_2411
Counts
1 → 70
Calls

1 calls:

6.0ms
(/.f64 x (/.f64 6 x))
Compiler

Compiled 1291 to 885 computations (31.4% saved)

series38.0ms (0.8%)

Error
0b
Counts
1 → 3
Calls

1 calls:

35.0ms
(/.f64 x (/.f64 6 x))
Compiler

Compiled 81 to 79 computations (2.5% saved)

simplify874.0ms (18.1%)

Algorithm
egg-herbie
Rules
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
associate--l+_binary64_2402
exp-diff_binary64_2513 associate-+l+_binary64_2398 +-commutative_binary64_2395
exp-sum_binary64_2511 +-lft-identity_binary64_2449 associate-+r+_binary64_2397
exp-sqrt_binary64_2518 distribute-lft-in_binary64_2414
rem-sqrt-square_binary64_2478 remove-double-div_binary64_2441
pow-base-1_binary64_2525 rec-exp_binary64_2515 div0_binary64_2446
--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
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
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
Counts
73 → 360
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461332
13021196
210911124
320431124
429311124

prune464.0ms (9.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3600360
Fresh011
Picked011
Done022
Total3604364
Error
0b
Counts
364 → 4
Compiler

Compiled 7350 to 4550 computations (38.1% saved)

localize10.0ms (0.2%)

Local error

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)

rewrite98.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
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
pow1/3_binary64_2547
add-exp-log_binary64_2503 swap-sqr_binary64_2432 associate-*l*_binary64_2406 associate-*r*_binary64_2405
add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501 unswap-sqr_binary64_2433
pow-prod-down_binary64_2536 pow-prod-up_binary64_2535 pow-sqr_binary64_2438
pow2_binary64_2546 pow-plus_binary64_2528 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 *-commutative_binary64_2396
Counts
4 → 73
Calls

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)
Compiler

Compiled 1670 to 889 computations (46.8% saved)

series531.0ms (11%)

Error
0b
Counts
4 → 12
Calls

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)
Compiler

Compiled 735 to 585 computations (20.4% saved)

simplify326.0ms (6.7%)

Algorithm
egg-herbie
Rules
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
exp-lft-sqr_binary64_2520 distribute-rgt-neg-out_binary64_2425 distribute-lft-neg-out_binary64_2424
distribute-rgt1-in_binary64_2421 count-2_binary64_2413
unpow3_binary64_2531 associate--l-_binary64_2403 associate--l+_binary64_2402
associate-+r-_binary64_2399 +-commutative_binary64_2395
div-exp_binary64_2516 prod-exp_binary64_2514 distribute-rgt-out--_binary64_2419
unpow1/3_binary64_2532 unpow2_binary64_2530 sub-neg_binary64_2458 distribute-lft-out--_binary64_2417
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
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
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
Counts
85 → 83
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055718
197656
2345636
31343633
44059633

prune101.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh000
Picked011
Done033
Total83487
Error
0b
Counts
87 → 4
Compiler

Compiled 1911 to 1072 computations (43.9% saved)

regimes237.0ms (4.9%)

Accuracy

Total 0.1b remaining (98.9%)

Threshold costs 0.1b (98.9%)

Compiler

Compiled 2358 to 1882 computations (20.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21813
32213
42513
52613
Proof
(- f64 (=> (* f64 (/ f64 h0 6) h0)) (/ f64 3 6)) *-commutative_binary64_2396 => (- f64 (* f64 h0 (/ f64 h0 6)) (/ f64 3 6))

end0.0ms (0%)

sample804.0ms (16.6%)

Algorithm
intervals
Results
174.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 446 to 361 computations (19.1% saved)

Profiling

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