Details

Time bar (total: 2.4s)

analyze388.0ms (16.4%)

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
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14
Compiler

Compiled 19 to 9 computations (52.6% saved)

sample913.0ms (38.7%)

Symmetry

(sort x y)

Results
825.0ms8256×body128valid
49.0ms508×body128invalid
Compiler

Compiled 56 to 26 computations (53.6% saved)

simplify7.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
11715
23411
35411
46811
57211
67011

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
0.1b
(fma.f64 z (*.f64 z 3) (*.f64 x y))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Compiler

Compiled 84 to 41 computations (51.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (*.f64 z 3) (*.f64 x y))

series12.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

12.0ms
(fma.f64 z (*.f64 z 3) (*.f64 x y))

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 z (*.f64 z 3) (*.f64 x y))

simplify59.0ms (2.5%)

Algorithm
egg-herbie
Rules
893×fma-def_binary64
483×distribute-rgt-out_binary64
466×distribute-rgt-in_binary64
458×distribute-lft-in_binary64
301×*-commutative_binary64
Counts
46 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023508
134485
265485
3184485
4750485
52905485
63790485
74921485

prune17.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New21223
Fresh101
Picked011
Done000
Total22325
Error
0.0b
Counts
25 → 3
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (*.f64 z 3) (*.f64 x y))) (cbrt.f64 (fma.f64 z (*.f64 z 3) (*.f64 x y)))) (cbrt.f64 (fma.f64 z (*.f64 z 3) (*.f64 x y))))
0.1b
(fma.f64 y x (*.f64 3 (*.f64 z z)))
0.1b
(fma.f64 z (*.f64 z 3) (*.f64 x y))
Compiler

Compiled 382 to 198 computations (48.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y x (*.f64 3 (*.f64 z z)))
0.2b
(*.f64 3 (*.f64 z z))

series14.0ms (0.6%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(fma.f64 y x (*.f64 3 (*.f64 z z)))
2.0ms
(*.f64 3 (*.f64 z z))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
add-sqr-sqrt_binary64
associate-*l*_binary64
Counts
2 → 31
Calls

2 calls:

4.0ms
(*.f64 3 (*.f64 z z))
0.0ms
(fma.f64 y x (*.f64 3 (*.f64 z z)))

simplify70.0ms (3%)

Algorithm
egg-herbie
Rules
744×distribute-rgt-in_binary64
732×distribute-lft-in_binary64
709×associate-/l/_binary64
476×fma-def_binary64
374×*-commutative_binary64
Counts
79 → 44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053811
193752
2216743
3554743
41006743
52364743
63846743
75210743

prune39.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh101
Picked011
Done011
Total43447
Error
0.0b
Counts
47 → 4
Alt Table
StatusErrorProgram
0.5b
(fma.f64 y x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 3 (*.f64 z z)))))
0.1b
(fma.f64 3 (*.f64 z z) (*.f64 y x))
0.1b
(fma.f64 y x (*.f64 3 (*.f64 z z)))
0.1b
(fma.f64 z (*.f64 z 3) (*.f64 x y))
Compiler

Compiled 666 to 344 computations (48.3% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 3 (*.f64 z z) (*.f64 y x))

series12.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

12.0ms
(fma.f64 3 (*.f64 z z) (*.f64 y 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 3 (*.f64 z z) (*.f64 y x))

simplify59.0ms (2.5%)

Algorithm
egg-herbie
Rules
893×fma-def_binary64
483×distribute-rgt-out_binary64
466×distribute-rgt-in_binary64
458×distribute-lft-in_binary64
302×*-commutative_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022508
132485
264485
3184485
4750485
52905485
63790485
74921485

prune14.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done022
Total22426
Error
0.0b
Counts
26 → 4
Alt Table
StatusErrorProgram
0.5b
(fma.f64 y x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 3 (*.f64 z z)))))
0.1b
(fma.f64 3 (*.f64 z z) (*.f64 y x))
0.1b
(fma.f64 y x (*.f64 3 (*.f64 z z)))
0.1b
(fma.f64 z (*.f64 z 3) (*.f64 x y))
Compiler

Compiled 361 to 175 computations (51.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (*.f64 z z))
0.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 3 (*.f64 z z))))
0.5b
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z))))
17.2b
(cbrt.f64 (*.f64 3 (*.f64 z z)))

series92.0ms (3.9%)

Counts
3 → 36
Calls

3 calls:

39.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z))))
37.0ms
(cbrt.f64 (*.f64 3 (*.f64 z z)))
15.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 3 (*.f64 z z))))

rewrite17.0ms (0.7%)

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 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 3 (*.f64 z z))))
4.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z))))
3.0ms
(cbrt.f64 (*.f64 3 (*.f64 z z)))

simplify111.0ms (4.7%)

Algorithm
egg-herbie
Rules
874×fma-def_binary64
340×associate-/l*_binary64
315×*-commutative_binary64
310×associate-*l/_binary64
303×sqr-pow_binary64
Counts
115 → 114
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0761480
11371377
24241257
37321187
414391063
521361063
643271063
749991063
849181063

prune187.0ms (7.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2260226
Fresh000
Picked011
Done033
Total2264230
Error
0.0b
Counts
230 → 4
Alt Table
StatusErrorProgram
0.5b
(fma.f64 y x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) (cbrt.f64 (*.f64 3 (*.f64 z z)))) (cbrt.f64 (*.f64 3 (*.f64 z z)))))
0.1b
(fma.f64 3 (*.f64 z z) (*.f64 y x))
0.1b
(fma.f64 y x (*.f64 3 (*.f64 z z)))
0.1b
(fma.f64 z (*.f64 z 3) (*.f64 x y))
Compiler

Compiled 5972 to 3374 computations (43.5% saved)

regimes249.0ms (10.6%)

Accuracy

Total 0.1b remaining (80.1%)

Threshold costs 0.1b (80.1%)

Counts
39 → 1
Compiler

Compiled 4509 to 3033 computations (32.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
2911

end64.0ms (2.7%)

Remove

(sort x y)

Compiler

Compiled 103 to 65 computations (36.9% saved)

Profiling

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