Details

Time bar (total: 2.6s)

analyze110.0ms (4.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
25%32.8%42.2%8
25%23.4%51.6%9
28.1%18%54%10
31.6%11.5%56.9%11
33.4%8.9%57.8%12
35.2%5.7%59.1%13
36.1%4.4%59.4%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify156.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0513010

prune2.0ms (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 14 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_441
11×unpow-prod-down_binary64_498
difference-of-squares_binary64_388
*-un-lft-identity_binary64_419 sqr-pow_binary64_391 cancel-sign-sub-inv_binary64_385
add-log-exp_binary64_458 add-cube-cbrt_binary64_454
distribute-lft-out--_binary64_371
sub-neg_binary64_412 flip3--_binary64_423 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 diff-log_binary64_511 flip--_binary64_394 pow1_binary64_480
Counts
1 → 29
Calls

2 calls:

8.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series170.0ms (6.5%)

Counts
1 → 12
Calls

1 calls:

170.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
Compiler

Compiled 108 to 114 computations (-5.6% saved)

simplify55.0ms (2.1%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04919531
14919531

prune34.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New40141
Fresh000
Picked011
Done000
Total40242
Error
0b
Counts
42 → 2
Compiler

Compiled 451 to 290 computations (35.7% saved)

localize10.0ms (0.4%)

Local error

Found 8 expressions with local error:

17.6b
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
0.1b
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.1b
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
17.6b
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
17.6b
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))

rewrite71.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
116×add-sqr-sqrt_binary64_441
94×sqrt-prod_binary64_435
63×difference-of-squares_binary64_388
59×unpow-prod-down_binary64_498
50×*-un-lft-identity_binary64_419
43×sqr-pow_binary64_391
21×swap-sqr_binary64_386 pow1_binary64_480
17×associate-*r*_binary64_359 associate-*l*_binary64_360
16×sqrt-div_binary64_436 add-cube-cbrt_binary64_454 distribute-lft-out--_binary64_371
10×pow1/2_binary64_499 sqrt-pow1_binary64_437
flip3--_binary64_423 flip--_binary64_394
cancel-sign-sub-inv_binary64_385
add-log-exp_binary64_458 add-cbrt-cube_binary64_455 add-exp-log_binary64_457
pow-prod-up_binary64_489
unswap-sqr_binary64_387 frac-times_binary64_429 rem-sqrt-square_binary64_432
pow-prod-down_binary64_490 pow-sqr_binary64_392
associate-*l/_binary64_362 associate-*r/_binary64_361
sub-neg_binary64_412 sqrt-unprod_binary64_439 rem-square-sqrt_binary64_431 sqr-abs_binary64_434 prod-exp_binary64_468 cbrt-unprod_binary64_452 pow-plus_binary64_482 *-commutative_binary64_350 diff-log_binary64_511 pow2_binary64_500
Counts
4 → 174
Calls

8 calls:

27.0ms
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
9.0ms
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
8.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
8.0ms
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
0.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series736.0ms (28.1%)

Counts
4 → 48
Calls

4 calls:

205.0ms
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
205.0ms
(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))
169.0ms
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
157.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
Compiler

Compiled 1296 to 1152 computations (11.1% saved)

simplify91.0ms (3.5%)

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049213785
149213785

prune284.0ms (10.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2220222
Fresh000
Picked011
Done011
Total2222224
Error
0b
Counts
224 → 2
Compiler

Compiled 4456 to 3089 computations (30.7% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04483
14483

regimes73.0ms (2.8%)

Compiler

Compiled 325 to 323 computations (0.6% saved)

bsearch0.0ms (0%)

regimes70.0ms (2.7%)

Compiler

Compiled 148 to 176 computations (-18.9% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.6%)

Accuracy

Total 0.0b remaining (53.8%)

Threshold costs 0.0b (53.8%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04134
14134

end0.0ms (0%)

sample692.0ms (26.4%)

Algorithm
intervals
Results
333.0ms8000×body128valid
14.0ms339×body128invalid
Compiler

Compiled 91 to 87 computations (4.4% saved)

Pareto

0.9262020491871472

Profiling

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