Details

Time bar (total: 6.4s)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample825.0ms (12.8%)

Results
742.0ms8256×body128valid
56.0ms185×body128invalid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2107
3107

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
Compiler

Compiled 26 to 13 computations (50% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x y) y)

series8.0ms (0.1%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x y) y)

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
associate-*r*_binary64
cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 (*.f64 x y) y)

simplify61.0ms (0.9%)

Algorithm
egg-herbie
Rules
723×fma-def_binary64
373×associate-*l*_binary64
319×unswap-sqr_binary64
312×associate-*r/_binary64
263×associate-*l/_binary64
Counts
44 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039389
195344
2300344
3591342
4859342
51608342
64153342
74970342

prune21.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New26531
Fresh000
Picked011
Done000
Total26632
Error
0.0b
Counts
32 → 6
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
22.2b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
28.9b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3))
11.8b
(*.f64 (pow.f64 y 2) x)
31.2b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
Compiler

Compiled 434 to 151 computations (65.2% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
0.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.4b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
17.8b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series1.1s (16.6%)

Counts
3 → 72
Calls

3 calls:

560.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
485.0ms
(cbrt.f64 (*.f64 (*.f64 x y) y))
23.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))

rewrite19.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
Counts
3 → 79
Calls

3 calls:

8.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
4.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
2.0ms
(cbrt.f64 (*.f64 (*.f64 x y) y))

simplify110.0ms (1.7%)

Algorithm
egg-herbie
Rules
651×unswap-sqr_binary64
407×fma-neg_binary64
356×fma-def_binary64
202×exp-prod_binary64
202×log-prod_binary64
Counts
151 → 129
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01362312
12751992
26811634
314661454
445271450
549581450
649751450

prune197.0ms (3.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2715276
Fresh134
Picked011
Done011
Total27210282
Error
0.0b
Counts
282 → 10
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
32.9b
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
11.8b
(*.f64 (pow.f64 y 2) x)
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
31.2b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))))
28.9b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3))
1.0b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
37.3b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) (*.f64 x x))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
Compiler

Compiled 6794 to 1404 computations (79.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
0.6b
(cbrt.f64 y)
8.6b
(cbrt.f64 (*.f64 x y))
17.8b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series992.0ms (15.4%)

Counts
3 → 60
Calls

3 calls:

576.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
384.0ms
(cbrt.f64 (*.f64 x y))
31.0ms
(cbrt.f64 y)

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×pow1/3_binary64
add-exp-log_binary64
pow1_binary64
pow-prod-down_binary64
cbrt-prod_binary64
Counts
3 → 49
Calls

3 calls:

5.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
1.0ms
(cbrt.f64 (*.f64 x y))
1.0ms
(cbrt.f64 y)

simplify97.0ms (1.5%)

Algorithm
egg-herbie
Rules
483×fma-neg_binary64
348×unswap-sqr_binary64
324×fma-def_binary64
284×exp-prod_binary64
268×*-commutative_binary64
Counts
109 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01281646
12791546
27281368
316371208
443381082
549271082
649281082

prune101.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1351136
Fresh167
Picked011
Done022
Total13610146
Error
0.0b
Counts
146 → 10
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
32.9b
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
11.8b
(*.f64 (pow.f64 y 2) x)
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
31.2b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))))
28.9b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3))
37.3b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) (*.f64 x x))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (cbrt.f64 (*.f64 x y)))) (cbrt.f64 (cbrt.f64 (*.f64 x y)))) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
Compiler

Compiled 3737 to 1002 computations (73.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))
0.5b
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))
0.6b
(cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))
17.8b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series2.2s (33.5%)

Counts
3 → 72
Calls

3 calls:

867.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))
713.0ms
(cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))
577.0ms
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))

rewrite24.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod_binary64
29×pow1_binary64
24×add-sqr-sqrt_binary64
16×pow1/3_binary64
14×associate-*r*_binary64
Counts
3 → 98
Calls

3 calls:

9.0ms
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))
6.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))
1.0ms
(cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))

simplify144.0ms (2.2%)

Algorithm
egg-herbie
Rules
490×fma-def_binary64
361×fma-neg_binary64
338×associate-*l*_binary64
284×exp-prod_binary64
258×associate-*r*_binary64
Counts
170 → 164
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01653416
13243096
26922514
319012363
445592269
549142269
648652269

prune258.0ms (4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3630363
Fresh066
Picked011
Done033
Total36310373
Error
0.0b
Counts
373 → 10
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
32.9b
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
11.8b
(*.f64 (pow.f64 y 2) x)
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
31.2b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))))
28.9b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3))
37.3b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) (*.f64 x x))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (cbrt.f64 (*.f64 x y)))) (cbrt.f64 (cbrt.f64 (*.f64 x y)))) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
Compiler

Compiled 15219 to 2769 computations (81.8% saved)

regimes105.0ms (1.6%)

Accuracy

Total 0.1b remaining (81.3%)

Threshold costs 0.1b (81.3%)

Counts
35 → 1
Compiler

Compiled 2267 to 1030 computations (54.6% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end104.0ms (1.6%)

Compiler

Compiled 199 to 87 computations (56.3% saved)

Profiling

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