Details

Time bar (total: 1.8s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1

sample42.0ms

Algorithm
intervals
Results
22.0ms72×body1280valid
8.0ms42×body640valid
4.0ms123×body80valid
2.0ms15×body320valid
0.0msbody160valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0470110
1470110

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.9b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
15×times-frac_binary64
11×add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64
associate-/l*_binary64
pow1_binary64 difference-of-sqr-1_binary64 associate-/r/_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
2 → 51
Calls
2 calls:
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
12.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
9.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify77.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04845766
14845766

prune52.0ms

Filtered
38 candidates to 57 candidates (-50.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh000
Picked101
Done000
Total56258

Merged error: 0b

Counts
58 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.1b
(*.f64 1/3 (pow.f64 x 3))
0.2b
(*.f64 2/15 (pow.f64 x 5))
19.3b
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×associate-*r*_binary64
14×add-exp-log_binary64
11×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64
add-cbrt-cube_binary64 unpow-prod-down_binary64
unswap-sqr_binary64
associate-*l*_binary64 prod-exp_binary64
pow1_binary64 sqr-pow_binary64 cube-prod_binary64
pow-to-exp_binary64 diff-log_binary64 cbrt-unprod_binary64 pow-exp_binary64 sum-log_binary64 *-commutative_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 unpow3_binary64 associate--l+_binary64 cube-mult_binary64
Counts
4 → 80
Calls
4 calls:
3.0ms
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
6.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(*.f64 2/15 (pow.f64 x 5))
7.0ms
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
4.0ms
(*.f64 1/3 (pow.f64 x 3))
5.0ms
(*.f64 2/15 (pow.f64 x 5))
6.0ms
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

simplify33.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05739807

prune54.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
1.9b
(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity_binary64
26×add-sqr-sqrt_binary64
24×times-frac_binary64
22×add-cube-cbrt_binary64
20×log-pow_binary64
18×exp-prod_binary64
distribute-lft-out_binary64
log-prod_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-log-exp_binary64 associate-/r/_binary64
associate-/l*_binary64 associate--l+_binary64
flip3-+_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 flip-+_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 difference-of-sqr-1_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64
Counts
3 → 82
Calls
3 calls:
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
8.0ms
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
17.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
9.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)

simplify57.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049551044
149551044

prune61.0ms

Filtered
65 candidates to 91 candidates (-40.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done011
Total91293

Merged error: 0b

Counts
93 → 2

regimes199.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.3b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07938
17938

end0.0ms

sample986.0ms

Algorithm
intervals
Results
427.0ms1722×body1280valid
189.0ms1148×body640valid
135.0ms4167×body80valid
73.0ms616×body320valid
25.0ms347×body160valid

Profiling

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