Details

Time bar (total: 19.9s)

sample309.0ms

Algorithm
intervals
Results
103.0ms90×body2560valid
71.0ms709×body80nan
62.0ms80×body1280valid
22.0ms47×body640valid
7.0ms20×body320valid
3.0ms17×body80valid
1.0msbody160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
1109
2179
3419
41089
54529
641789
done50029

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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))
3.0ms
(pow (atan (fmod a (asin a))) (* a a))

series20.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
18.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify5.9s

Counts
28 → 28
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
046322
1113308
2532290
34951288
done5000288

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.9b

localize15.0ms

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))

rewrite19.0ms

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))
12.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series54.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
28.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
19.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify418.0ms

Counts
68 → 68
Iterations

Useful iterations: done (415.0ms)

IterNodesCost
064892
1167840
2659800
done5000784

prune292.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.9b

regimes34.0ms

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

sample9.4s

Algorithm
intervals
Results
3.7s3003×body2560valid
2.6s23745×body80nan
1.5s2527×body1280valid
538.0ms1241×body640valid
151.0ms625×body320valid
59.0ms313×body160valid
34.0ms291×body80valid