Details

Time bar (total: 6.5s)

analyze86.0ms (1.3%)

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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample815.0ms (12.6%)

Results
756.0ms8256×body128valid
24.0ms229×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Rules
39×fma-neg_binary64
17×sub-neg_binary64
17×fma-def_binary64
16×cancel-sign-sub-inv_binary64
associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32711
44311
57711
68911
711211
813611
915911
1016711
1116111
1214411

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series15.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

15.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt_binary64
70×fabs-mul_binary64
63×times-frac_binary64
53×*-un-lft-identity_binary64
37×add-cube-cbrt_binary64
Counts
1 → 96
Calls

1 calls:

6.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify87.0ms (1.3%)

Algorithm
egg-herbie
Rules
901×div-sub_binary64
444×associate-/l/_binary64
439×times-frac_binary64
383×associate-/l*_binary64
382×fma-def_binary64
Counts
96 → 112
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01472173
12222127
24912127
310852127
427142127
551672127

prune51.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh000
Picked011
Done000
Total1085113
Error
0b
Counts
113 → 5
Alt Table
StatusErrorProgram
45.0b
(/.f64 (fabs.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.5b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
15.9b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
Compiler

Compiled 2142 to 451 computations (78.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.2b
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
0.3b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))

series39.0ms (0.6%)

Counts
3 → 48
Calls

3 calls:

20.0ms
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
14.0ms
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
5.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite86.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
356×add-sqr-sqrt_binary64
228×sqrt-prod_binary64
216×times-frac_binary64
209×fabs-mul_binary64
138×*-un-lft-identity_binary64
Counts
3 → 328
Calls

3 calls:

30.0ms
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
7.0ms
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
3.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify348.0ms (5.4%)

Algorithm
egg-herbie
Rules
628×fma-def_binary64
595×times-frac_binary64
380×associate-/r/_binary64
282×*-commutative_binary64
250×unswap-sqr_binary64
Counts
376 → 417
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030910082
16338256
219447024
321017024
432907024
546227024
649867024
749247024

prune158.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4510451
Fresh033
Picked011
Done011
Total4515456
Error
0b
Counts
456 → 5
Alt Table
StatusErrorProgram
45.0b
(/.f64 (fabs.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.5b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
15.9b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
Compiler

Compiled 10936 to 1597 computations (85.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
0.2b
(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
0.2b
(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

series2.4s (37.4%)

Counts
3 → 72
Calls

3 calls:

1.6s
(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
840.0ms
(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
15.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

rewrite280.0ms (4.3%)

Algorithm
rewrite-expression-head
Rules
858×add-sqr-sqrt_binary64
660×cbrt-prod_binary64
613×times-frac_binary64
550×fabs-mul_binary64
340×*-un-lft-identity_binary64
Counts
3 → 564
Calls

3 calls:

79.0ms
(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
37.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
6.0ms
(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

simplify674.0ms (10.4%)

Algorithm
egg-herbie
Rules
816×unswap-sqr_binary64
617×associate-*l*_binary64
509×associate-*r*_binary64
352×times-frac_binary64
274×associate-/l*_binary64
Counts
636 → 706
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056825289
180823706
2277123422
3378923272
4546423272

prune592.0ms (9.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New123201232
Fresh022
Picked011
Done022
Total123251237
Error
0b
Counts
1237 → 5
Alt Table
StatusErrorProgram
45.0b
(/.f64 (fabs.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fabs.f64 y) (fabs.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.5b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
15.9b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
Compiler

Compiled 48091 to 4996 computations (89.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.2b
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
15.0b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

series62.0ms (1%)

Counts
2 → 48
Calls

2 calls:

47.0ms
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
15.0ms
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite74.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
256×add-sqr-sqrt_binary64
252×times-frac_binary64
248×fabs-mul_binary64
192×*-un-lft-identity_binary64
140×cbrt-prod_binary64
Counts
2 → 308
Calls

2 calls:

13.0ms
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
12.0ms
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

simplify244.0ms (3.8%)

Algorithm
egg-herbie
Rules
557×associate-/l/_binary64
392×unswap-sqr_binary64
382×cube-div_binary64
292×sqr-pow_binary64
291×log-prod_binary64
Counts
356 → 240
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03129406
18468383
225377493
335117493
448827493

prune184.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3511352
Fresh101
Picked011
Done123
Total3534357
Error
0b
Counts
357 → 4
Alt Table
StatusErrorProgram
11.0b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (fabs.f64 y)) 2)) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 x y))) (cbrt.f64 (fabs.f64 y))))
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.5b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
15.9b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
Compiler

Compiled 7370 to 2276 computations (69.1% saved)

regimes136.0ms (2.1%)

Accuracy

Total 0.0b remaining (68.5%)

Threshold costs 0.0b (68.5%)

Counts
46 → 1
Compiler

Compiled 2406 to 1349 computations (43.9% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32311
42611
52711
62711

end69.0ms (1.1%)

Compiler

Compiled 76 to 48 computations (36.8% saved)

Profiling

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