Details

Time bar (total: 4.8s)

analyze343.0ms (7.1%)

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)

sample889.0ms (18.4%)

Symmetry

(sort x y)

Results
777.0ms8256×body128valid
69.0ms767×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify8.0ms (0.2%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
5.9b
(/.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
5.8b
(/.f64 (*.f64 x y) z)

series12.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

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

rewrite5.0ms (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:

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

simplify113.0ms (2.3%)

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

prune38.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New28836
Fresh000
Picked101
Done000
Total29837
Error
0.0b
Counts
37 → 8
Alt Table
StatusErrorProgram
6.6b
(/.f64 (/.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
5.1b
(/.f64 x (/.f64 z y))
6.0b
(*.f64 (*.f64 x y) (/.f64 1 z))
6.1b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.1b
(*.f64 x (/.f64 y z))
35.0b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
4.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
6.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
Compiler

Compiled 547 to 216 computations (60.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 y (cbrt.f64 z))
0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b
(cbrt.f64 z)
3.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

series416.0ms (8.6%)

Counts
4 → 84
Calls

4 calls:

288.0ms
(/.f64 y (cbrt.f64 z))
43.0ms
(cbrt.f64 z)
42.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
42.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite32.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt_binary64
46×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
42×cbrt-prod_binary64
Counts
4 → 157
Calls

4 calls:

10.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
7.0ms
(/.f64 y (cbrt.f64 z))
4.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)

simplify132.0ms (2.7%)

Algorithm
egg-herbie
Rules
527×fma-neg_binary64
473×associate-/r/_binary64
442×*-commutative_binary64
328×unswap-sqr_binary64
168×associate-*r/_binary64
Counts
241 → 233
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01933378
14462551
219042483
326382429
445702429
549182429

prune175.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2645269
Fresh257
Picked101
Done000
Total26710277
Error
0b
Counts
277 → 10
Alt Table
StatusErrorProgram
6.0b
(*.f64 (*.f64 x y) (/.f64 1 z))
4.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 z))))
35.0b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
5.9b
(pow.f64 (/.f64 (*.f64 y x) z) 1)
5.1b
(/.f64 x (/.f64 z y))
5.1b
(*.f64 x (/.f64 y z))
4.4b
(*.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (cbrt.f64 (/.f64 y (cbrt.f64 z))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))) (cbrt.f64 (/.f64 y (cbrt.f64 z))))
4.0b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
6.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
23.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (expm1.f64 (log1p.f64 (cbrt.f64 z))))) (/.f64 y (cbrt.f64 z)))
Compiler

Compiled 5127 to 1342 computations (73.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b
(cbrt.f64 z)
0.6b
(cbrt.f64 (/.f64 1 z))
3.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 y (cbrt.f64 (/.f64 1 z))))

series64.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

34.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
29.0ms
(cbrt.f64 (/.f64 1 z))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64
16×add-cbrt-cube_binary64
13×cbrt-prod_binary64
12×times-frac_binary64
11×*-un-lft-identity_binary64
Counts
2 → 59
Calls

2 calls:

8.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
3.0ms
(cbrt.f64 (/.f64 1 z))

simplify87.0ms (1.8%)

Algorithm
egg-herbie
Rules
798×times-frac_binary64
613×associate-*l/_binary64
474×associate-/l*_binary64
379×associate-*r/_binary64
220×associate-/r*_binary64
Counts
107 → 73
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111728
12441396
210211359
342471317
448631317
549871317

prune129.0ms (2.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1653168
Fresh369
Picked011
Done000
Total16810178
Error
0b
Counts
178 → 10
Alt Table
StatusErrorProgram
5.1b
(*.f64 x (/.f64 y z))
3.3b
(*.f64 (/.f64 1 (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))
35.0b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
5.9b
(pow.f64 (/.f64 (*.f64 y x) z) 1)
23.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (expm1.f64 (log1p.f64 (cbrt.f64 z))))) (/.f64 y (cbrt.f64 z)))
4.2b
(*.f64 (/.f64 x (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
5.1b
(/.f64 x (/.f64 z y))
6.0b
(*.f64 (*.f64 x y) (/.f64 1 z))
2.5b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))
4.0b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
Compiler

Compiled 3540 to 1678 computations (52.6% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (/.f64 1 z))
0.7b
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z))))
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))

series1.1s (22.1%)

Counts
3 → 84
Calls

3 calls:

976.0ms
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z))))
54.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))
37.0ms
(cbrt.f64 x)

rewrite42.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
84×add-exp-log_binary64
50×associate-*l*_binary64
44×cbrt-unprod_binary64
44×prod-exp_binary64
42×cbrt-prod_binary64
Counts
3 → 138
Calls

3 calls:

14.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))
11.0ms
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z))))
1.0ms
(cbrt.f64 x)

simplify137.0ms (2.8%)

Algorithm
egg-herbie
Rules
686×associate-/r*_binary64
438×associate-*r*_binary64
324×associate-*l*_binary64
265×associate-/r/_binary64
230×log-prod_binary64
Counts
222 → 214
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02305640
15923853
224833639
345073639
449793639

prune189.0ms (3.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2790279
Fresh088
Picked011
Done011
Total27910289
Error
0b
Counts
289 → 10
Alt Table
StatusErrorProgram
5.1b
(*.f64 x (/.f64 y z))
3.3b
(*.f64 (/.f64 1 (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))
35.0b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
5.9b
(pow.f64 (/.f64 (*.f64 y x) z) 1)
23.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (expm1.f64 (log1p.f64 (cbrt.f64 z))))) (/.f64 y (cbrt.f64 z)))
4.2b
(*.f64 (/.f64 x (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
5.1b
(/.f64 x (/.f64 z y))
6.0b
(*.f64 (*.f64 x y) (/.f64 1 z))
2.5b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 y (cbrt.f64 (/.f64 1 z)))))
4.0b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 y (cbrt.f64 (/.f64 1 z))))
Compiler

Compiled 7994 to 2740 computations (65.7% saved)

regimes618.0ms (12.8%)

Accuracy

Total 0.8b remaining (97.8%)

Threshold costs 0.8b (97.8%)

Counts
93 → 5
Compiler

Compiled 8743 to 4972 computations (43.1% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
/-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02774
13274
23174

end273.0ms (5.6%)

Compiler

Compiled 366 to 190 computations (48.1% saved)

Profiling

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