Details

Time bar (total: 3.5s)

analyze33.0ms (1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample809.0ms (23.4%)

Results
781.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129
Stop Event
saturated
Counts
1 → 1

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
14.8b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.5b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series346.0ms (10%)

Counts
1 → 24
Calls

1 calls:

346.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite41.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
695×log1p-expm1-u_binary64
695×expm1-log1p-u_binary64
129×expm1-udef_binary64
129×log1p-udef_binary64
115×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11469
218719
Stop Event
node limit
Counts
1 → 30
Calls

1 calls:

40.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify36.0ms (1%)

Algorithm
egg-herbie
Rules
403×fma-def_binary64
359×fma-neg_binary64
343×div-sub_binary64
310×times-frac_binary64
268×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040472
182472
2164448
3449312
41208280
52965280
Stop Event
node limit
Counts
54 → 37

prune30.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New29837
Fresh000
Picked101
Done000
Total30838
Error
0.1b
Counts
38 → 8
Alt Table
StatusErrorProgram
14.9b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
0.9b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
15.1b
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
15.5b
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.8b
(*.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1)
Compiler

Compiled 555 to 428 computations (22.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
0.6b
(cbrt.f64 (*.f64 g 1/2))
0.6b
(cbrt.f64 a)

series414.0ms (11.9%)

Counts
3 → 48
Calls

3 calls:

350.0ms
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
35.0ms
(cbrt.f64 (*.f64 g 1/2))
29.0ms
(cbrt.f64 a)

rewrite44.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
758×log1p-expm1-u_binary64
758×expm1-log1p-u_binary64
139×log1p-udef_binary64
80×egg-rr
78×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116318
2203818
Stop Event
node limit
Counts
3 → 80
Calls

3 calls:

43.0ms
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
43.0ms
(cbrt.f64 (*.f64 g 1/2))
43.0ms
(cbrt.f64 a)

simplify44.0ms (1.3%)

Algorithm
egg-herbie
Rules
595×associate-*l*_binary64
397×fma-def_binary64
355×fma-neg_binary64
217×*-commutative_binary64
153×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051652
1117652
2227628
3583484
41653468
54713468
Stop Event
node limit
Counts
128 → 94

prune63.0ms (1.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New831194
Fresh257
Picked011
Done000
Total8517102
Error
0.1b
Counts
102 → 17
Alt Table
StatusErrorProgram
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
0.9b
(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
32.1b
(/.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2)) (cbrt.f64 a))
14.8b
(*.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1)
36.6b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (*.f64 (pow.f64 (sqrt.f64 a) 1/3) (pow.f64 (sqrt.f64 a) 1/3)))
14.9b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
1.6b
(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
1.5b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 (cbrt.f64 a))))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
1.5b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (/.f64 1 (cbrt.f64 a))))
15.5b
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
1.5b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
0.9b
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
15.1b
(pow.f64 (cbrt.f64 (/.f64 a (*.f64 g 1/2))) -1)
Compiler

Compiled 1499 to 1100 computations (26.6% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b
(cbrt.f64 (/.f64 1/2 a))
0.6b
(cbrt.f64 g)

series401.0ms (11.6%)

Counts
3 → 48
Calls

3 calls:

339.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
33.0ms
(cbrt.f64 (/.f64 1/2 a))
28.0ms
(cbrt.f64 g)

rewrite38.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
687×log1p-expm1-u_binary64
687×expm1-log1p-u_binary64
138×expm1-udef_binary64
138×log1p-udef_binary64
127×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116418
2192718
Stop Event
node limit
Counts
3 → 65
Calls

3 calls:

37.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
37.0ms
(cbrt.f64 (/.f64 1/2 a))
37.0ms
(cbrt.f64 g)

simplify41.0ms (1.2%)

Algorithm
egg-herbie
Rules
476×times-frac_binary64
417×fma-def_binary64
350×div-sub_binary64
347×fma-neg_binary64
288×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050680
1115680
2231624
3580512
41692472
53545472
Stop Event
node limit
Counts
113 → 79

prune52.0ms (1.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New75479
Fresh41115
Picked011
Done011
Total791796
Error
0.0b
Counts
96 → 17
Alt Table
StatusErrorProgram
14.9b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
32.1b
(/.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2)) (cbrt.f64 a))
36.2b
(*.f64 (cbrt.f64 g) (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a)))))
1.5b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
0.9b
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
15.1b
(pow.f64 (cbrt.f64 (/.f64 a (*.f64 g 1/2))) -1)
1.5b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))
1.6b
(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
1.5b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (/.f64 1 (cbrt.f64 a))))
15.5b
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
14.8b
(*.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1)
Compiler

Compiled 1240 to 918 computations (26% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
0.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 a)

series395.0ms (11.4%)

Counts
2 → 36
Calls

2 calls:

360.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
35.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))

rewrite42.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
82×add-cube-cbrt_binary64
82×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118115
2224915
Stop Event
node limit
Counts
2 → 56
Calls

2 calls:

41.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
41.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))

simplify42.0ms (1.2%)

Algorithm
egg-herbie
Rules
541×times-frac_binary64
431×fma-def_binary64
347×fma-neg_binary64
270×*-commutative_binary64
187×exp-sum_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047636
1109636
2229612
3591476
41692444
53781444
Stop Event
node limit
Counts
92 → 67

prune65.0ms (1.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1114115
Fresh21214
Picked101
Done022
Total11418132
Error
0.0b
Counts
132 → 18
Alt Table
StatusErrorProgram
14.9b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
36.2b
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (exp.f64 (log.f64 (cbrt.f64 a))))
1.6b
(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
0.9b
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 a))))
32.1b
(/.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2)) (cbrt.f64 a))
36.2b
(*.f64 (cbrt.f64 g) (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a)))))
1.5b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
30.5b
(/.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 g))) 2) (cbrt.f64 a))
4.4b
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/3) (cbrt.f64 (cbrt.f64 a))))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
15.5b
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
14.8b
(*.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1)
1.5b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))
Compiler

Compiled 1556 to 1077 computations (30.8% saved)

regimes292.0ms (8.4%)

Accuracy

Total 0.7b remaining (90.1%)

Threshold costs 0.7b (90.1%)

Counts
61 → 1
Compiler

Compiled 3911 to 3132 computations (19.9% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
Stop Event
saturated

end204.0ms (5.9%)

Compiler

Compiled 250 to 201 computations (19.6% saved)

Profiling

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