Details

Time bar (total: 3.1s)

analyze657.0ms (20.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample28.0ms (0.9%)

Algorithm
intervals
Results
11.0ms256×body128valid
2.0ms41×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify116.0ms (3.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
016014
116014

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 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_458
*-un-lft-identity_binary64_419 sub-neg_binary64_412 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 flip3--_binary64_423 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 diff-log_binary64_511 flip--_binary64_394 cancel-sign-sub-inv_binary64_385 pow1_binary64_480
Counts
1 → 12
Calls

1 calls:

4.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

series67.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

67.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify122.0ms (3.9%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
04948294
14948294

prune20.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216
Error
0b
Counts
16 → 2
Compiler

Compiled 214 to 57 computations (73.4% saved)

localize31.0ms (1%)

Local error

Found 4 expressions with local error:

0.8b
(+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))
2.1b
(-.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im y.im) 3))
4.2b
(*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
37.7b
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im y.im) 3)) (+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))))

rewrite94.0ms (3%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_441
30×*-un-lft-identity_binary64_419
27×times-frac_binary64_425
21×sqr-pow_binary64_391
20×difference-of-squares_binary64_388 add-cube-cbrt_binary64_454
11×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
pow1_binary64_480 associate-/l*_binary64_364
add-log-exp_binary64_458 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 cancel-sign-sub-inv_binary64_385
difference-cubes_binary64_421 distribute-lft-out--_binary64_371
associate-+r+_binary64_351 associate-*r/_binary64_361
flip3-+_binary64_422 pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 associate-*l*_binary64_360 flip-+_binary64_393 associate-/r*_binary64_363
flip3--_binary64_423 associate-/r/_binary64_365 flip--_binary64_394 associate-/l/_binary64_366
clear-num_binary64_418 sub-neg_binary64_412 unpow-prod-down_binary64_498 unpow3_binary64_485 cube-mult_binary64_449 div-inv_binary64_416 associate-*r*_binary64_359 sum-log_binary64_510 *-commutative_binary64_350 cube-prod_binary64_447 frac-2neg_binary64_430 diff-log_binary64_511 +-commutative_binary64_349 div-exp_binary64_470 cbrt-undiv_binary64_453 div-sub_binary64_424
Counts
4 → 120
Calls

4 calls:

36.0ms
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im y.im) 3)) (+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))))
21.0ms
(*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
13.0ms
(-.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im y.im) 3))
9.0ms
(+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))

series728.0ms (23.2%)

Counts
4 → 12
Calls

4 calls:

306.0ms
(-.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im y.im) 3))
220.0ms
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im y.im) 3)) (+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))))
124.0ms
(+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))
79.0ms
(*.f64 x.im (*.f64 y.im (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))

simplify162.0ms (5.2%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049857167
149857167

prune263.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done011
Total1322134
Error
0b
Counts
134 → 2
Compiler

Compiled 5851 to 2053 computations (64.9% saved)

regimes85.0ms (2.7%)

Accuracy

Total 0.0b remaining (6%)

Threshold costs 0.0b (6%)

Compiler

Compiled 307 to 269 computations (12.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03814
13814

end0.0ms (0%)

sample741.0ms (23.6%)

Algorithm
intervals
Results
274.0ms8000×body128valid
50.0ms1397×body128invalid
Compiler

Compiled 54 to 48 computations (11.1% saved)

Profiling

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