Details

Time bar (total: 3.8s)

analyze401.0ms (10.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify463.0ms (12.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
030110
130110

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
0.0b
(*.f64 (-.f64 y x) z)

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_3510
*-un-lft-identity_binary64_3488
associate-*l*_binary64_3429
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 add-cube-cbrt_binary64_3523 add-log-exp_binary64_3527 pow1_binary64_3549
associate-*r*_binary64_3428
associate-*l/_binary64_3431
difference-of-squares_binary64_3457 distribute-lft-out--_binary64_3440 unswap-sqr_binary64_3456 flip3--_binary64_3492 flip-+_binary64_3462 flip3-+_binary64_3491 cbrt-unprod_binary64_3521 +-commutative_binary64_3418 pow-prod-down_binary64_3559 flip--_binary64_3463 *-commutative_binary64_3419 sum-log_binary64_3579 prod-exp_binary64_3537
Counts
2 → 33
Calls

2 calls:

12.0ms
(*.f64 (-.f64 y x) z)
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))

series64.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
29.0ms
(*.f64 (-.f64 y x) z)

simplify96.0ms (2.5%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04993448
14993448

prune32.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340
Error
0b
Counts
40 → 3
Compiler

Compiled 501 to 148 computations (70.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3519
23×add-sqr-sqrt_binary64_3510
15×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
11×pow1_binary64_3549
pow1/3_binary64_3570
swap-sqr_binary64_3455 add-exp-log_binary64_3526 associate-*l*_binary64_3429 associate-*r*_binary64_3428
unswap-sqr_binary64_3456 add-cbrt-cube_binary64_3524 add-log-exp_binary64_3527
pow-prod-up_binary64_3558 pow-prod-down_binary64_3559 pow-sqr_binary64_3461
cbrt-unprod_binary64_3521 pow2_binary64_3569 pow-plus_binary64_3551 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series560.0ms (14.6%)

Counts
4 → 12
Calls

4 calls:

159.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
152.0ms
(cbrt.f64 z)
130.0ms
(cbrt.f64 z)
117.0ms
(cbrt.f64 z)

simplify74.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04892563
14892563

prune98.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388
Error
0b
Counts
88 → 3
Compiler

Compiled 1437 to 456 computations (68.3% saved)

localize29.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.5b
(-.f64 (pow.f64 y 3) (pow.f64 x 3))
1.8b
(+.f64 (*.f64 x x) (*.f64 y x))
7.3b
(*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3)))
34.4b
(/.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))

rewrite131.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt_binary64_3510
37×*-un-lft-identity_binary64_3488
36×cancel-sign-sub-inv_binary64_3454
33×unpow-prod-down_binary64_3567 cube-prod_binary64_3516
32×difference-of-squares_binary64_3457
25×associate-*r*_binary64_3428
19×sqr-pow_binary64_3460
17×add-cube-cbrt_binary64_3523
13×distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438
11×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
10×distribute-lft-out--_binary64_3440
add-log-exp_binary64_3527
pow1_binary64_3549
associate-*r/_binary64_3430
unpow3_binary64_3554 associate-/r*_binary64_3432 flip3--_binary64_3492 times-frac_binary64_3494 associate-*l*_binary64_3429 flip--_binary64_3463 cube-mult_binary64_3518 sub-neg_binary64_3481
associate-/l/_binary64_3435 flip-+_binary64_3462 flip3-+_binary64_3491 associate-/r/_binary64_3434 cbrt-unprod_binary64_3521 div-exp_binary64_3539 cbrt-undiv_binary64_3522 prod-exp_binary64_3537 difference-cubes_binary64_3490
distribute-rgt-out_binary64_3441 clear-num_binary64_3487 unswap-sqr_binary64_3456 diff-log_binary64_3580 associate-/l*_binary64_3433 +-commutative_binary64_3418 pow-prod-down_binary64_3559 frac-2neg_binary64_3499 *-commutative_binary64_3419 sum-log_binary64_3579 div-inv_binary64_3485
Counts
4 → 150
Calls

4 calls:

44.0ms
(*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3)))
44.0ms
(/.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))
18.0ms
(-.f64 (pow.f64 y 3) (pow.f64 x 3))
8.0ms
(+.f64 (*.f64 x x) (*.f64 y x))

series438.0ms (11.4%)

Counts
4 → 12
Calls

4 calls:

244.0ms
(/.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))
101.0ms
(*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3)))
64.0ms
(-.f64 (pow.f64 y 3) (pow.f64 x 3))
29.0ms
(+.f64 (*.f64 x x) (*.f64 y x))

simplify153.0ms (4%)

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
051072749

prune311.0ms (8.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh000
Picked011
Done022
Total1623165
Error
0b
Counts
165 → 3
Compiler

Compiled 4602 to 1872 computations (59.3% saved)

regimes70.0ms (1.8%)

Accuracy

Total 0.0b remaining (22.7%)

Threshold costs 0.0b (22.7%)

Compiler

Compiled 344 to 274 computations (20.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample838.0ms (21.9%)

Algorithm
intervals
Results
320.0ms8000×body128valid
21.0ms578×body128invalid
Compiler

Compiled 96 to 77 computations (19.8% saved)

Profiling

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