Details

Time bar (total: 13.4s)

sample164.0ms

Algorithm
intervals
Results
60.0ms88×body2560valid
38.0ms863×body80nan
30.0ms89×body1280valid
11.0ms49×body640valid
2.0ms11×body320valid
1.0ms12×body160valid
1.0msbody80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
1109
2179
3419
4989
52589
68779
732149
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize8.0ms

Local error

Found 2 expressions with local error:

2.9b
(fmod a (asin a))
27.5b
(pow (atan (fmod a (asin a))) (* a a))

rewrite2.0ms

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))
2.0ms
(pow (atan (fmod a (asin a))) (* a a))

series20.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
19.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify3.2s

Counts
28 → 28
Iterations

Useful iterations: 3 (179.0ms)

IterNodesCost
046322
196308
2255290
3908288
43932288
done5001288

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 33.3b

localize11.0ms

Local error

Found 4 expressions with local error:

2.9b
(fmod a (asin a))
2.9b
(fmod a (asin a))
27.7b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.7b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite6.0ms

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))
2.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
2.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series45.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
21.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
21.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify1.5s

Counts
68 → 68
Iterations

Useful iterations: 3 (314.0ms)

IterNodesCost
064892
1135832
2357800
31285762
done5001762

prune231.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 33.3b

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 30.7b against oracle of 30.7b and baseline of 30.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.9s3023×body2560valid
1.1s24577×body80nan
833.0ms2469×body1280valid
287.0ms1272×body640valid
100.0ms641×body320valid
35.0ms306×body160valid
26.0ms289×body80valid