Details

Time bar (total: 4.8s)

analyze538.0ms (11.2%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
23.4%71%5.6%9
35.1%56.2%8.7%10
41%49.9%9.1%11
45.1%41.2%13.7%12
52.6%31.2%16.2%13
56.3%27.3%16.4%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample983.0ms (20.5%)

Results
851.0ms8256×body128valid
100.0ms948×body128invalid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11010
2128
3148
4158
5158

prune7.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
5.0b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 54 to 30 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)

series13.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

13.0ms
(fma.f64 y (/.f64 y z) x)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 y (/.f64 y z) x)

simplify47.0ms (1%)

Algorithm
egg-herbie
Rules
611×associate-/l/_binary64
604×associate-+l+_binary64
543×associate-*l*_binary64
462×fma-def_binary64
424×associate-/r*_binary64
Counts
46 → 17
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020376
128359
259359
3151359
4551359
52861359
65394359

prune11.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh011
Picked011
Done000
Total14519
Error
0.0b
Counts
19 → 5
Alt Table
StatusErrorProgram
30.8b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
42.1b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x)) (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
5.0b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 322 to 103 computations (68% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series218.0ms (4.5%)

Counts
3 → 108
Calls

3 calls:

112.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
92.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
14.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite47.0ms (1%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

35.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
5.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

simplify233.0ms (4.9%)

Algorithm
egg-herbie
Rules
688×fma-def_binary64
298×associate-*r*_binary64
276×cancel-sign-sub-inv_binary64
257×unswap-sqr_binary64
188×*-commutative_binary64
Counts
201 → 199
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03166172
19055625
227385166
346044783
449604783
549204783

prune206.0ms (4.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3642366
Fresh123
Picked011
Done011
Total3656371
Error
0.0b
Counts
371 → 6
Alt Table
StatusErrorProgram
1.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
30.8b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
2.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
0.1b
(fma.f64 y (/.f64 y z) x)
5.0b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 14433 to 5279 computations (63.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
0.5b
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

series273.0ms (5.7%)

Counts
3 → 108
Calls

3 calls:

117.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
94.0ms
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
61.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
13×add-sqr-sqrt_binary64
10×pow1_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
3 → 63
Calls

3 calls:

5.0ms
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
3.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

simplify186.0ms (3.9%)

Algorithm
egg-herbie
Rules
408×associate-*r*_binary64
351×unswap-sqr_binary64
265×*-commutative_binary64
211×associate-*l*_binary64
192×sqr-pow_binary64
Counts
171 → 200
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04498489
113057813
238807115
349997115

prune617.0ms (12.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7201721
Fresh033
Picked011
Done022
Total7207727
Error
0.0b
Counts
727 → 7
Alt Table
StatusErrorProgram
1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
4.4b
(*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) 6))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
30.8b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
2.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
0.1b
(fma.f64 y (/.f64 y z) x)
5.0b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 58734 to 16646 computations (71.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.0b
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5)

series312.0ms (6.5%)

Counts
2 → 72
Calls

2 calls:

200.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5)
112.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod_binary64
30×add-sqr-sqrt_binary64
24×unpow-prod-down_binary64
13×associate-*r*_binary64
12×*-un-lft-identity_binary64
Counts
2 → 69
Calls

2 calls:

7.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5))
3.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5)

simplify203.0ms (4.2%)

Algorithm
egg-herbie
Rules
691×fma-def_binary64
321×associate-*r*_binary64
321×unswap-sqr_binary64
281×cancel-sign-sub-inv_binary64
205×*-commutative_binary64
Counts
141 → 162
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03616529
110096123
231425923
349075923
449895923
548895923

prune353.0ms (7.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4580458
Fresh033
Picked011
Done033
Total4587465
Error
0.0b
Counts
465 → 7
Alt Table
StatusErrorProgram
1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
4.4b
(*.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) 6))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
30.8b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
2.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 5)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
0.1b
(fma.f64 y (/.f64 y z) x)
5.0b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 23329 to 10503 computations (55% saved)

regimes386.0ms (8%)

Accuracy

Total 0.1b remaining (69%)

Threshold costs 0.1b (69%)

Counts
55 → 1
Compiler

Compiled 14820 to 4900 computations (66.9% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end86.0ms (1.8%)

Compiler

Compiled 218 to 78 computations (64.2% saved)

Profiling

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