Details

Time bar (total: 27.1s)

sample230.0ms

Algorithm
intervals
Results
87.0ms93×body2560valid
45.0ms604×body80nan
42.0ms77×body1280valid
16.0ms44×body640valid
5.0ms23×body320valid
1.0ms13×body80valid
1.0msbody160valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2179
3419
41049
52749
68709
733949
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize11.0ms

Local error

Found 2 expressions with local error:

2.2b
(fmod a (asin a))
28.9b
(pow (atan (fmod a (asin a))) (* a a))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 26
Calls
2 calls:
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (* a a))

series33.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
31.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify4.4s

Counts
32 → 32
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
050352
197337
2216319
3650318
42378316
done5000316

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.6b

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b
(fmod a (asin a))
2.2b
(fmod a (asin a))
28.9b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
28.9b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log unpow-prod-down times-frac
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 64
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series105.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(fmod a (asin a))
4.0ms
(fmod a (asin a))
45.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
52.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.5s

Counts
76 → 76
Iterations

Useful iterations: 4 (3.2s)

IterNodesCost
068960
1139898
2322866
31000824
44280820
done5000820

prune421.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.6b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 30.9b against oracle of 30.9b and baseline of 30.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample11.3s

Algorithm
intervals
Results
4.0s3018×body2560valid
2.9s23641×body80nan
2.6s2438×body1280valid
527.0ms1221×body640valid
178.0ms662×body320valid
69.0ms333×body160valid
45.0ms328×body80valid