Details

Time bar (total: 23.7s)

sample256.0ms

Algorithm
intervals
Results
93.0ms93×body2560valid
51.0ms604×body80nan
47.0ms77×body1280valid
23.0ms44×body640valid
6.0ms23×body320valid
2.0ms13×body80valid
2.0msbody160valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
add-cbrt-cube add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 22
Calls
2 calls:
0.0ms
(fmod a (asin a))
7.0ms
(pow (atan (fmod a (asin a))) (* a a))

series39.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(fmod a (asin a))
36.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify2.5s

Counts
28 → 28
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
046322
192308
2206290
3600288
42179288
done5001288

prune106.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.6b

localize25.0ms

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
add-cbrt-cube add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 56
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))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series69.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
35.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.3s

Counts
68 → 68
Iterations

Useful iterations: done (5.3s)

IterNodesCost
064892
1134832
2315800
3959762
44093760
done5001756

prune322.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.6b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample10.5s

Algorithm
intervals
Results
3.9s3018×body2560valid
2.8s23641×body80nan
1.4s2438×body1280valid
1.1s1221×body640valid
170.0ms662×body320valid
64.0ms333×body160valid
45.0ms328×body80valid