Details

Time bar (total: 20.2s)

sample238.0ms

Algorithm
intervals
Results
72.0ms90×body2560valid
70.0ms709×body80nan
38.0ms80×body1280valid
15.0ms47×body640valid
5.0ms20×body320valid
2.0ms17×body80valid
0.0msbody160valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2179
3419
41089
54529
641789
done50029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize10.0ms

Local error

Found 2 expressions with local error:

1.5b
(fmod a (asin a))
28.0b
(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))

series31.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(fmod a (asin a))
27.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify877.0ms

Counts
32 → 32
Iterations

Useful iterations: done (876.0ms)

IterNodesCost
050352
1119337
2554319
done5000318

prune141.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.9b

localize28.0ms

Local error

Found 4 expressions with local error:

1.5b
(fmod a (asin a))
1.5b
(fmod a (asin a))
28.0b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
28.0b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite23.0ms

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:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
9.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
10.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series90.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(fmod a (asin a))
4.0ms
(fmod a (asin a))
40.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
42.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify4.3s

Counts
76 → 76
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
068960
1172906
2669866
34954824
done5000824

prune372.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.9b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 31.0b against oracle of 31.0b and baseline of 31.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample10.3s

Algorithm
intervals
Results
3.7s23745×body80nan
3.2s3003×body2560valid
1.6s2527×body1280valid
491.0ms1241×body640valid
235.0ms625×body320valid
59.0ms313×body160valid
35.0ms291×body80valid