Details

Time bar (total: 5.1s)

analyze320.0ms (6.3%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample822.0ms (16.1%)

Results
779.0ms8256×body128valid
14.0ms191×body128invalid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2107
3107

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
Compiler

Compiled 26 to 13 computations (50% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x y) y)

series8.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x y) y)

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
associate-*r*_binary64
cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

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

simplify56.0ms (1.1%)

Algorithm
egg-herbie
Rules
723×fma-def_binary64
373×associate-*l*_binary64
319×unswap-sqr_binary64
312×associate-*r/_binary64
263×associate-*l/_binary64
Counts
44 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039389
195344
2300344
3591342
4859342
51608342
64153342
74970342

prune20.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New26531
Fresh000
Picked011
Done000
Total26632
Error
0.0b
Counts
32 → 6
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
8.7b
(*.f64 (pow.f64 y 2) x)
23.9b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
35.6b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
Compiler

Compiled 442 to 151 computations (65.8% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x y) y)
0.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
0.4b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
20.9b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series1.1s (22.1%)

Counts
3 → 72
Calls

3 calls:

638.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
463.0ms
(cbrt.f64 (*.f64 (*.f64 x y) y))
24.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))

rewrite21.0ms (0.4%)

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:

7.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
5.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))
2.0ms
(cbrt.f64 (*.f64 (*.f64 x y) y))

simplify112.0ms (2.2%)

Algorithm
egg-herbie
Rules
651×unswap-sqr_binary64
407×fma-neg_binary64
356×fma-def_binary64
202×exp-prod_binary64
202×log-prod_binary64
Counts
151 → 129
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01362312
12751992
26811634
314661454
445271450
549581450
649751450

prune198.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2733276
Fresh134
Picked101
Done011
Total2757282
Error
0.0b
Counts
282 → 7
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))))
8.7b
(*.f64 (pow.f64 y 2) x)
23.9b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
0.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
35.6b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))))
Compiler

Compiled 6748 to 1357 computations (79.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
0.6b
(cbrt.f64 y)
9.8b
(cbrt.f64 (*.f64 x y))
20.9b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series964.0ms (18.9%)

Counts
3 → 60
Calls

3 calls:

560.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
370.0ms
(cbrt.f64 (*.f64 x y))
33.0ms
(cbrt.f64 y)

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×pow1/3_binary64
add-exp-log_binary64
pow1_binary64
pow-prod-down_binary64
cbrt-prod_binary64
Counts
3 → 49
Calls

3 calls:

5.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
1.0ms
(cbrt.f64 (*.f64 x y))
1.0ms
(cbrt.f64 y)

simplify103.0ms (2%)

Algorithm
egg-herbie
Rules
483×fma-neg_binary64
348×unswap-sqr_binary64
324×fma-def_binary64
284×exp-prod_binary64
268×*-commutative_binary64
Counts
109 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01281646
12791546
27281368
316371208
443381082
549271082
649281082

prune97.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh055
Picked011
Done011
Total1358143
Error
0.0b
Counts
143 → 8
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
35.6b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))))
8.7b
(*.f64 (pow.f64 y 2) x)
23.9b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
0.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))))
Compiler

Compiled 3715 to 973 computations (73.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
20.9b
(cbrt.f64 (*.f64 (*.f64 x y) y))

series596.0ms (11.7%)

Counts
2 → 36
Calls

2 calls:

565.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
31.0ms
(cbrt.f64 x)

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×pow-prod-down_binary64
13×pow1/3_binary64
11×add-exp-log_binary64
11×pow1_binary64
cbrt-unprod_binary64
Counts
2 → 40
Calls

2 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
1.0ms
(cbrt.f64 x)

simplify71.0ms (1.4%)

Algorithm
egg-herbie
Rules
841×fma-neg_binary64
341×unswap-sqr_binary64
315×*-commutative_binary64
306×fma-def_binary64
235×associate-+l+_binary64
Counts
76 → 65
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111266
12551168
27711046
31515810
44320810
55018810

prune126.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1532155
Fresh145
Picked011
Done022
Total1549163
Error
0b
Counts
163 → 9
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
35.6b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))))
1.1b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y))))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
8.7b
(*.f64 (pow.f64 y 2) x)
23.9b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y)))
0.2b
(*.f64 (*.f64 x y) y)
0.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))
Compiler

Compiled 4223 to 1050 computations (75.1% saved)

regimes294.0ms (5.8%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

Counts
106 → 1
Compiler

Compiled 7460 to 3331 computations (55.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end94.0ms (1.8%)

Compiler

Compiled 231 to 89 computations (61.5% saved)

Profiling

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