Details

Time bar (total: 1.9s)

analyze33.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
68.7%31.2%0.1%6
68.7%18.7%12.6%7
71.8%15.6%12.6%8
71.8%9.4%18.8%9
73.4%7.8%18.8%10
73.4%4.7%22%11
74.1%3.9%22%12
74.1%2.3%23.5%13
74.5%2%23.5%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample18.0ms (0.9%)

Algorithm
intervals
Results
6.0ms256×body128valid
3.0ms149×body128invalid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify233.0ms (12.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
057239

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (exp.f64 (*.f64 y y)))

rewrite7.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_16809
associate-*r*_binary64_16727 pow1_binary64_16848 add-cube-cbrt_binary64_16822 associate-*l*_binary64_16728 *-un-lft-identity_binary64_16787 add-cbrt-cube_binary64_16823
add-exp-log_binary64_16825
add-log-exp_binary64_16826 cbrt-unprod_binary64_16820 prod-exp_binary64_16836 *-commutative_binary64_16718 unswap-sqr_binary64_16755 pow-prod-down_binary64_16858
Counts
1 → 18
Calls

1 calls:

6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))

series26.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

26.0ms
(*.f64 x (exp.f64 (*.f64 y y)))

simplify59.0ms (3.1%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05507228

prune18.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh000
Picked011
Done000
Total20222

Merged error: 0.0b

Counts
22 → 2
Compiler

Compiled 220 to 53 computations (75.9% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 (exp.f64 (*.f64 y y))))
0.0b
(sqrt.f64 (exp.f64 (*.f64 y y)))
0.0b
(sqrt.f64 (exp.f64 (*.f64 y y)))
0.0b
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 (*.f64 y y)))) (sqrt.f64 (exp.f64 (*.f64 y y))))

rewrite24.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_16809
13×pow1_binary64_16848 sqrt-prod_binary64_16803
12×associate-*r*_binary64_16727
11×add-cube-cbrt_binary64_16822 add-exp-log_binary64_16825 *-un-lft-identity_binary64_16787 add-cbrt-cube_binary64_16823
add-log-exp_binary64_16826 sqrt-pow1_binary64_16805
cbrt-unprod_binary64_16820 prod-exp_binary64_16836 associate-*l*_binary64_16728 pow-prod-down_binary64_16858
rem-sqrt-square_binary64_16800 pow1/2_binary64_16867 exp-to-pow_binary64_16849 *-commutative_binary64_16718 unswap-sqr_binary64_16755 exp-prod_binary64_16839
Counts
4 → 73
Calls

4 calls:

9.0ms
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 (*.f64 y y)))) (sqrt.f64 (exp.f64 (*.f64 y y))))
6.0ms
(*.f64 x (sqrt.f64 (exp.f64 (*.f64 y y))))
2.0ms
(sqrt.f64 (exp.f64 (*.f64 y y)))
2.0ms
(sqrt.f64 (exp.f64 (*.f64 y y)))

series102.0ms (5.4%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(*.f64 x (sqrt.f64 (exp.f64 (*.f64 y y))))
28.0ms
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 (*.f64 y y)))) (sqrt.f64 (exp.f64 (*.f64 y y))))
17.0ms
(sqrt.f64 (exp.f64 (*.f64 y y)))
17.0ms
(sqrt.f64 (exp.f64 (*.f64 y y)))

simplify91.0ms (4.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04966935
14966935

prune52.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh000
Picked011
Done011
Total84387

Merged error: 0b

Counts
87 → 3
Compiler

Compiled 1341 to 293 computations (78.2% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
0.0b
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
0.0b
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
0.0b
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))))

rewrite28.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod_binary64_16818
44×add-sqr-sqrt_binary64_16809
29×sqrt-prod_binary64_16803
22×add-cube-cbrt_binary64_16822 *-un-lft-identity_binary64_16787
11×pow1_binary64_16848 swap-sqr_binary64_16754
associate-*r*_binary64_16727 associate-*l*_binary64_16728 unswap-sqr_binary64_16755 pow1/3_binary64_16869
add-exp-log_binary64_16825
add-log-exp_binary64_16826 add-cbrt-cube_binary64_16823
pow-prod-up_binary64_16857 pow-sqr_binary64_16760 pow-prod-down_binary64_16858
pow2_binary64_16868 cbrt-unprod_binary64_16820 pow-plus_binary64_16850 prod-exp_binary64_16836 *-commutative_binary64_16718
Counts
4 → 98
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))))
2.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
2.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
2.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))

series324.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

86.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
82.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))))
80.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))
75.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 y y))))

simplify58.0ms (3%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
053081945

prune102.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done022
Total1103113

Merged error: 0b

Counts
113 → 3
Compiler

Compiled 3532 to 409 computations (88.4% saved)

regimes65.0ms (3.4%)

Compiler

Compiled 525 to 282 computations (46.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample630.0ms (33.2%)

Algorithm
intervals
Results
188.0ms8000×body128valid
102.0ms4222×body128invalid
Compiler

Compiled 118 to 68 computations (42.4% saved)

Profiling

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