Details

Time bar (total: 4.0s)

analyze35.0ms (0.9%)

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)

sample756.0ms (18.8%)

Results
729.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129
3129
Stop Event
saturated
Counts
1 → 1

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
14.9b
(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
14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series343.0ms (8.5%)

Counts
1 → 24
Calls

1 calls:

342.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite37.0ms (0.9%)

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
11459
218119
349829
Stop Event
node limit
Counts
1 → 30
Calls

1 calls:

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

simplify58.0ms (1.4%)

Algorithm
egg-herbie
Rules
801×div-sub_binary64
792×fma-def_binary64
513×fma-neg_binary64
310×times-frac_binary64
268×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040472
176472
2132448
3375312
4906280
52132280
64048280
75162280
Stop Event
node limit
Counts
54 → 37

prune28.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New30737
Fresh000
Picked011
Done000
Total30838
Error
0.1b
Counts
38 → 8
Alt Table
StatusErrorProgram
0.8b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
14.9b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
15.0b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
15.2b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
Compiler

Compiled 523 to 401 computations (23.3% saved)

localize6.0ms (0.1%)

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

series402.0ms (10%)

Counts
3 → 48
Calls

3 calls:

335.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
36.0ms
(cbrt.f64 (/.f64 1/2 a))
31.0ms
(cbrt.f64 g)

rewrite74.0ms (1.9%)

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
116218
2184218
3498718
4502318
Stop Event
node limit
Counts
3 → 65
Calls

3 calls:

73.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
73.0ms
(cbrt.f64 g)
73.0ms
(cbrt.f64 (/.f64 1/2 a))

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Rules
688×unswap-sqr_binary64
476×times-frac_binary64
431×fma-def_binary64
347×div-sub_binary64
347×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050680
1109680
2194624
3490512
41293472
52564472
65038472
Stop Event
node limit
Counts
113 → 79

prune48.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New74579
Fresh246
Picked011
Done011
Total761187
Error
0.1b
Counts
87 → 11
Alt Table
StatusErrorProgram
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.8b
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
15.0b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
1.5b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
1.6b
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
0.8b
(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
15.2b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
14.9b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
Compiler

Compiled 1039 to 746 computations (28.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.4b
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
0.5b
(cbrt.f64 (/.f64 -1 a))
0.6b
(cbrt.f64 g)

series550.0ms (13.7%)

Counts
3 → 48
Calls

3 calls:

447.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
67.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
36.0ms
(cbrt.f64 (/.f64 -1 a))

rewrite48.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
878×log1p-expm1-u_binary64
878×expm1-log1p-u_binary64
101×add-sqr-sqrt_binary64
96×add-cbrt-cube_binary64
95×add-cube-cbrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
121421
2236421
3541721
Stop Event
node limit
Counts
3 → 59
Calls

3 calls:

47.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
47.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
47.0ms
(cbrt.f64 (/.f64 -1 a))

simplify59.0ms (1.5%)

Algorithm
egg-herbie
Rules
769×times-frac_binary64
506×unswap-sqr_binary64
479×fma-def_binary64
386×associate-*l*_binary64
344×fma-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
050908
1109908
2207884
3591744
41841656
53891548
65104548
Stop Event
node limit
Counts
107 → 71

prune65.0ms (1.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New91495
Fresh268
Picked011
Done022
Total9313106
Error
0.1b
Counts
106 → 13
Alt Table
StatusErrorProgram
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
1.5b
(*.f64 (cbrt.f64 g) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) 3) (cbrt.f64 -1/2)))
27.9b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g g))) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
14.9b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.4b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.8b
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
15.0b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
15.2b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
15.1b
(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 3))
Compiler

Compiled 1430 to 1080 computations (24.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g)))
0.5b
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
0.5b
(cbrt.f64 (/.f64 -1 a))
0.6b
(cbrt.f64 (neg.f64 g))

series846.0ms (21.1%)

Counts
3 → 60
Calls

3 calls:

413.0ms
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
385.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g)))
49.0ms
(cbrt.f64 (neg.f64 g))

rewrite52.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
903×log1p-expm1-u_binary64
903×expm1-log1p-u_binary64
112×add-sqr-sqrt_binary64
106×add-cbrt-cube_binary64
104×add-cube-cbrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
123618
2242918
3552518
Stop Event
node limit
Counts
3 → 53
Calls

3 calls:

51.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g)))
51.0ms
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
51.0ms
(cbrt.f64 (neg.f64 g))

simplify98.0ms (2.4%)

Algorithm
egg-herbie
Rules
779×div-sub_binary64
628×unswap-sqr_binary64
554×fma-def_binary64
436×fma-neg_binary64
363×associate-*l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0521224
11121224
22041176
3594888
41911888
54154804
64409804
74926804
84943804
Stop Event
node limit
Counts
113 → 68

prune53.0ms (1.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New97299
Fresh099
Picked011
Done033
Total9715112
Error
0.0b
Counts
112 → 15
Alt Table
StatusErrorProgram
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
1.5b
(*.f64 (cbrt.f64 g) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) 3) (cbrt.f64 -1/2)))
15.2b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
15.6b
(*.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3))
47.8b
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (sqrt.f64 (cbrt.f64 (*.f64 g g)))))
27.9b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g g))) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
14.9b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.4b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.8b
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
15.0b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
15.1b
(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 3))
Compiler

Compiled 1447 to 1043 computations (27.9% saved)

regimes194.0ms (4.8%)

Accuracy

Total 0.8b remaining (90.9%)

Threshold costs 0.8b (90.9%)

Counts
35 → 1
Compiler

Compiled 2325 to 1894 computations (18.5% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
2911
Stop Event
saturated

end168.0ms (4.2%)

Compiler

Compiled 198 to 161 computations (18.7% saved)

Profiling

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