Details

Time bar (total: 2.5s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample11.0ms

Algorithm
intervals
Results
7.0ms256×body128valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
0470913
1470913

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
15×times-frac_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 distribute-lft-out_binary64 cosh-undef_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
flip3-+_binary64 pow1_binary64 associate-/r/_binary64 flip-+_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 50
Calls
2 calls:
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series122.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
93.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify74.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04849954
14849954

prune35.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257

Merged error: 0b

Counts
57 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
0.0b
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity_binary64
75×times-frac_binary64
52×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
48×cbrt-prod_binary64
42×unpow-prod-down_binary64 cube-prod_binary64
17×distribute-lft-out_binary64 cosh-undef_binary64
10×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 add-log-exp_binary64 flip-+_binary64
associate-/r*_binary64 pow1_binary64 div-inv_binary64
pow-unpow_binary64 associate-/l*_binary64
cbrt-undiv_binary64 sqr-pow_binary64 cube-div_binary64 rem-cube-cbrt_binary64 div-exp_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
cbrt-div_binary64 pow-to-exp_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 170
Calls
4 calls:
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
13.0ms
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)

series360.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
77.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.0ms
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
167.0ms
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)

simplify63.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
054083566

prune84.0ms

Filtered
93 candidates to 182 candidates (-95.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1820182
Fresh011
Picked011
Done000
Total1822184

Merged error: 0b

Counts
184 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.f64 2 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.4b
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.4b
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.4b
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64
15×*-un-lft-identity_binary64 cbrt-prod_binary64
flip3-+_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-sqr-sqrt_binary64 flip-+_binary64
associate-/r/_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 frac-times_binary64
distribute-lft-out_binary64 pow1/3_binary64 cosh-undef_binary64 associate-/l*_binary64 times-frac_binary64
cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64 associate-*l/_binary64
associate-/r*_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 74
Calls
4 calls:
16.0ms
(/.f64 2 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
5.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
475.0ms
(/.f64 2 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
196.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
210.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
210.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051721720

prune78.0ms

Filtered
66 candidates to 86 candidates (-30.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288

Merged error: 0b

Counts
88 → 2

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01918
11918

end0.0ms

sample318.0ms

Algorithm
intervals
Results
224.0ms8000×body128valid

Profiling

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