Details

Time bar (total: 4.3s)

analyze414.0ms (9.5%)

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
18.7%81.1%0.1%7
21.8%78%0.1%8
27.3%67.1%5.6%9
41%50.3%8.7%10
43.9%47%9.1%11
48.3%38%13.7%12
56.3%27.4%16.2%13
58.2%25.4%16.4%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample34.0ms (0.8%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms24×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify6.0ms (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

prune3.0ms (0.1%)

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
8.7b
(+.f64 x (/.f64 (*.f64 y y) z))
0.1b
(fma.f64 y (/.f64 y z) x)
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)

simplify46.0ms (1.1%)

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

prune13.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15217
Fresh011
Picked011
Done000
Total15419
Error
0.0b
Counts
19 → 4
Alt Table
StatusErrorProgram
8.7b
(+.f64 x (/.f64 (*.f64 y y) z))
31.9b
(*.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)))
0.1b
(fma.f64 y (/.f64 y z) x)
Compiler

Compiled 274 to 87 computations (68.2% saved)

localize8.0ms (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))

series135.0ms (3.1%)

Counts
3 → 108
Calls

3 calls:

72.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
50.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
12.0ms
(*.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)))

rewrite19.0ms (0.4%)

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:

8.0ms
(*.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)))
4.0ms
(*.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))

simplify175.0ms (4%)

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

prune231.0ms (5.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3633366
Fresh022
Picked101
Done011
Total3646370
Error
0.0b
Counts
370 → 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))))) (cbrt.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)))
1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.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))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
8.7b
(+.f64 x (/.f64 (*.f64 y y) z))
2.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 4)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
31.9b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
Compiler

Compiled 14507 to 5293 computations (63.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series127.0ms (2.9%)

Counts
2 → 72
Calls

2 calls:

74.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.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)))))
53.0ms
(cbrt.f64 (*.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))))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
cbrt-prod_binary64
associate-*l*_binary64
add-cube-cbrt_binary64
*-un-lft-identity_binary64
Counts
2 → 39
Calls

2 calls:

5.0ms
(cbrt.f64 (*.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))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.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)))))

simplify130.0ms (3%)

Algorithm
egg-herbie
Rules
680×fma-def_binary64
276×cancel-sign-sub-inv_binary64
263×associate-*r*_binary64
248×associate-/r/_binary64
244×fma-neg_binary64
Counts
111 → 142
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02954911
18664559
225804282
349474280
450004280

prune376.0ms (8.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5222524
Fresh224
Picked011
Done011
Total5246530
Error
0.0b
Counts
530 → 6
Alt Table
StatusErrorProgram
8.7b
(+.f64 x (/.f64 (*.f64 y y) z))
1.6b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.9b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.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))))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
31.9b
(*.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 (*.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))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
Compiler

Compiled 31027 to 10641 computations (65.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.6b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))))
1.2b
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)

series285.0ms (6.6%)

Counts
3 → 108
Calls

3 calls:

173.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)
59.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))))
53.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
unpow-prod-down_binary64
add-cube-cbrt_binary64
Counts
3 → 53
Calls

3 calls:

9.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))))
2.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

simplify148.0ms (3.4%)

Algorithm
egg-herbie
Rules
454×unswap-sqr_binary64
405×associate-*r*_binary64
264×*-commutative_binary64
225×times-frac_binary64
215×associate-/l*_binary64
Counts
161 → 202
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04267675
113087305
242296804
354736804

prune545.0ms (12.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6120612
Fresh033
Picked011
Done022
Total6126618
Error
0.0b
Counts
618 → 6
Alt Table
StatusErrorProgram
8.7b
(+.f64 x (/.f64 (*.f64 y y) z))
1.6b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.9b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.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))))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
31.9b
(*.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 (*.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))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
Compiler

Compiled 46267 to 16715 computations (63.9% saved)

regimes877.0ms (20.2%)

Accuracy

Total 0.1b remaining (71%)

Threshold costs 0.1b (71%)

Counts
110 → 1
Compiler

Compiled 21510 to 7906 computations (63.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample692.0ms (15.9%)

Algorithm
intervals
Results
286.0ms8000×body128valid
32.0ms971×body128invalid
Compiler

Compiled 215 to 76 computations (64.7% saved)

Profiling

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