Details

Time bar (total: 5.6s)

analyze300.0ms (5.3%)

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
0%99.9%0.1%5
0%99.9%0.1%6
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample37.0ms (0.7%)

Algorithm
intervals
Symmetry

(sort x y)

Results
9.0ms256×body128valid
1.0ms24×body128invalid
Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
5177

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
8.3b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.0b
(/.f64 (*.f64 x y) z)

series11.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

11.0ms
(/.f64 (*.f64 x y) z)

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/r*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x y) z)

simplify119.0ms (2.1%)

Algorithm
egg-herbie
Rules
1034×associate-/r/_binary64
1020×div-sub_binary64
899×associate-/r*_binary64
356×associate-/l*_binary64
354×sub-neg_binary64
Counts
59 → 36
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053513
1118468
2408468
31644468
41898468
52032468
62452468
73371468
83480468
94398468
104999468
114859468

prune26.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Error
0.0b
Counts
37 → 7
Alt Table
StatusErrorProgram
8.3b
(/.f64 (*.f64 x y) z)
36.0b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
6.8b
(*.f64 x (/.f64 y z))
4.9b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
34.1b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
6.7b
(/.f64 x (/.f64 z y))
8.3b
(*.f64 (*.f64 x y) (/.f64 1 z))
Compiler

Compiled 483 to 189 computations (60.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b
(cbrt.f64 z)
4.0b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

series585.0ms (10.4%)

Counts
4 → 84
Calls

4 calls:

476.0ms
(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
39.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
37.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
34.0ms
(cbrt.f64 z)

rewrite29.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64
32×add-exp-log_binary64
31×times-frac_binary64
30×cbrt-prod_binary64
30×*-un-lft-identity_binary64
Counts
4 → 139
Calls

4 calls:

10.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
5.0ms
(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)

simplify129.0ms (2.3%)

Algorithm
egg-herbie
Rules
527×fma-neg_binary64
499×associate-/r/_binary64
434×*-commutative_binary64
328×unswap-sqr_binary64
168×fma-def_binary64
Counts
223 → 216
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01823283
14392349
219162292
326492238
445812238
549302238

prune134.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2493252
Fresh055
Picked011
Done011
Total24910259
Error
0b
Counts
259 → 10
Alt Table
StatusErrorProgram
34.1b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
6.9b
(*.f64 x (*.f64 (/.f64 1 z) y))
8.3b
(/.f64 (*.f64 x y) z)
36.0b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
6.8b
(*.f64 x (/.f64 y z))
4.9b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
5.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))))
28.0b
(*.f64 (/.f64 x (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)))
6.7b
(/.f64 x (/.f64 z y))
8.3b
(*.f64 (*.f64 x y) (/.f64 1 z))
Compiler

Compiled 4645 to 1271 computations (72.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 z)
0.8b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))))
1.8b
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
6.2b
(cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series2.6s (46.7%)

Counts
3 → 96
Calls

3 calls:

1.6s
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
962.0ms
(cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
60.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))))

rewrite40.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64
33×times-frac_binary64
32×cbrt-prod_binary64
29×add-exp-log_binary64
27×cbrt-div_binary64
Counts
3 → 120
Calls

3 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))))
12.0ms
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z)))
3.0ms
(cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify144.0ms (2.6%)

Algorithm
egg-herbie
Rules
519×times-frac_binary64
480×associate-/l*_binary64
280×associate-*l*_binary64
272×associate-/r*_binary64
246×associate-*r*_binary64
Counts
216 → 163
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02114860
15004388
215904118
336854091
450294091

prune170.0ms (3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3430343
Fresh077
Picked011
Done022
Total34310353
Error
0b
Counts
353 → 10
Alt Table
StatusErrorProgram
34.1b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
6.9b
(*.f64 x (*.f64 (/.f64 1 z) y))
8.3b
(/.f64 (*.f64 x y) z)
36.0b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
6.8b
(*.f64 x (/.f64 y z))
4.9b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
5.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))))
28.0b
(*.f64 (/.f64 x (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)))
6.7b
(/.f64 x (/.f64 z y))
8.3b
(*.f64 (*.f64 x y) (/.f64 1 z))
Compiler

Compiled 12634 to 1742 computations (86.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.5b
(/.f64 x (/.f64 z y))

series13.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

12.0ms
(/.f64 x (/.f64 z y))

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/r*_binary64
Counts
1 → 72
Calls

1 calls:

4.0ms
(/.f64 x (/.f64 z y))

simplify106.0ms (1.9%)

Algorithm
egg-herbie
Rules
786×fma-def_binary64
737×fma-neg_binary64
483×*-commutative_binary64
349×associate-/r/_binary64
328×div-sub_binary64
Counts
108 → 111
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01491514
13121454
29131451
321831451
425131451
527151451
631891451
750691451

prune64.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1083111
Fresh426
Picked101
Done123
Total1147121
Error
0b
Counts
121 → 7
Alt Table
StatusErrorProgram
6.0b
(*.f64 (/.f64 x z) y)
6.9b
(/.f64 1 (/.f64 (/.f64 z y) x))
17.1b
(*.f64 (sqrt.f64 y) (/.f64 x (/.f64 z (sqrt.f64 y))))
5.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 y (cbrt.f64 z))))
6.9b
(*.f64 x (*.f64 (/.f64 1 z) y))
8.3b
(/.f64 (*.f64 x y) z)
8.3b
(*.f64 (*.f64 x y) (/.f64 1 z))
Compiler

Compiled 1577 to 418 computations (73.5% saved)

regimes304.0ms (5.4%)

Accuracy

Total 0.6b remaining (97.3%)

Threshold costs 0.6b (97.3%)

Counts
42 → 5
Compiler

Compiled 3579 to 1886 computations (47.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02786
13186
23086

end6.0ms (0.1%)

Compiler

Compiled 186 to 75 computations (59.7% saved)

sample729.0ms (13%)

Algorithm
intervals
Results
235.0ms8000×body128valid
19.0ms729×body128invalid
Compiler

Compiled 166 to 83 computations (50% saved)

Profiling

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