Details

Time bar (total: 4.1s)

analyze88.0ms (2.2%)

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
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)

sample767.0ms (18.9%)

Results
726.0ms8256×body128valid
11.0ms152×body128invalid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.2%)

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

prune2.0ms (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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

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

rewrite4.0ms (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)

simplify58.0ms (1.4%)

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

prune47.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New23831
Fresh000
Picked011
Done000
Total23932
Error
0.0b
Counts
32 → 9
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
33.8b
(*.f64 (*.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
31.4b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
21.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
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)))
26.5b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3))
25.8b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 x y) y)))
9.8b
(*.f64 (pow.f64 y 2) x)
Compiler

Compiled 522 to 193 computations (63% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.3b
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)

series494.0ms (12.2%)

Counts
4 → 72
Calls

4 calls:

358.0ms
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
79.0ms
(cbrt.f64 y)
36.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
20.0ms
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite30.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
41×pow1_binary64
36×add-exp-log_binary64
23×pow-prod-down_binary64
23×add-sqr-sqrt_binary64
22×cbrt-unprod_binary64
Counts
4 → 111
Calls

4 calls:

14.0ms
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
6.0ms
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)

simplify133.0ms (3.3%)

Algorithm
egg-herbie
Rules
501×*-commutative_binary64
399×sqr-pow_binary64
371×log-prod_binary64
354×exp-prod_binary64
292×associate-*l*_binary64
Counts
183 → 150
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01251908
12661583
210441476
318871448
437781300
545221296
647971296
748561296

prune171.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1806186
Fresh347
Picked101
Done011
Total18411195
Error
0.0b
Counts
195 → 11
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
31.5b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) (cbrt.f64 y))
1.2b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))) (cbrt.f64 y))
31.7b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
10.2b
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
27.7b
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 y 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (cbrt.f64 y))
33.8b
(*.f64 (*.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
21.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
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)))
1.0b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
9.8b
(*.f64 (pow.f64 y 2) x)
Compiler

Compiled 3322 to 956 computations (71.2% saved)

localize10.0ms (0.2%)

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)))
20.3b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series990.0ms (24.4%)

Counts
3 → 72
Calls

3 calls:

533.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
434.0ms
(cbrt.f64 (*.f64 (*.f64 x y) y))
22.0ms
(*.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 (0.5%)

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:

6.0ms
(*.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 (2.7%)

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

prune226.0ms (5.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New2751276
Fresh099
Picked011
Done011
Total27512287
Error
0.0b
Counts
287 → 12
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
31.5b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) (cbrt.f64 y))
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)))
0.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
1.2b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))) (cbrt.f64 y))
31.7b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
10.2b
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
27.7b
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 y 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (cbrt.f64 y))
33.8b
(*.f64 (*.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
21.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
1.0b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
9.8b
(*.f64 (pow.f64 y 2) x)
Compiler

Compiled 6836 to 1452 computations (78.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.6b
(cbrt.f64 y)
9.8b
(cbrt.f64 (*.f64 x y))
20.3b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series344.0ms (8.5%)

Counts
1 → 24
Calls

1 calls:

344.0ms
(cbrt.f64 (*.f64 x y))

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
cbrt-prod_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
1 → 11
Calls

1 calls:

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

simplify66.0ms (1.6%)

Algorithm
egg-herbie
Rules
776×unswap-sqr_binary64
540×fma-def_binary64
408×fma-neg_binary64
294×times-frac_binary64
245×div-sub_binary64
Counts
35 → 19
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047460
187460
2132404
3319292
4780292
51796282
64748282
74920282

prune122.0ms (3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh099
Picked011
Done022
Total14912161
Error
0.0b
Counts
161 → 12
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
31.5b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) (cbrt.f64 y))
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)))
0.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
1.2b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))) (cbrt.f64 y))
31.7b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
10.2b
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
27.7b
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 y 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (cbrt.f64 y))
33.8b
(*.f64 (*.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
21.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
1.0b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
9.8b
(*.f64 (pow.f64 y 2) x)
Compiler

Compiled 3937 to 993 computations (74.8% saved)

regimes198.0ms (4.9%)

Accuracy

Total 0.2b remaining (84.3%)

Threshold costs 0.2b (84.3%)

Counts
73 → 1
Compiler

Compiled 3635 to 2023 computations (44.3% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end134.0ms (3.3%)

Compiler

Compiled 208 to 109 computations (47.6% saved)

Profiling

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