Details

Time bar (total: 23.6s)

sample294.0ms

Algorithm
intervals
Results
117.0ms88×body2560valid
69.0ms821×body80nan
45.0ms83×body1280valid
16.0ms41×body640valid
7.0ms23×body320valid
2.0ms11×body160valid
1.0ms10×body80valid

simplify4.7s

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: 35.0b

localize9.0ms

Local error

Found 2 expressions with local error:

3.9b
(fmod a (asin a))
26.3b
(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))

series24.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
22.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify2.4s

Counts
28 → 28
Iterations

Useful iterations: 3 (170.0ms)

IterNodesCost
046322
192308
2206290
3600288
42179288
done5001288

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 34.8b

localize13.0ms

Local error

Found 4 expressions with local error:

3.9b
(fmod a (asin a))
3.9b
(fmod a (asin a))
26.5b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
26.5b
(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))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series63.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
19.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
40.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.0s

Counts
68 → 68
Iterations

Useful iterations: done (5.0s)

IterNodesCost
064892
1134832
2315800
3959762
44093760
done5001756

prune343.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 34.8b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 31.2b against oracle of 31.2b and baseline of 31.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0923
done923

end0.0ms

sample10.6s

Algorithm
intervals
Results
3.6s2948×body2560valid
2.8s23838×body80nan
2.4s2545×body1280valid
568.0ms1248×body640valid
170.0ms637×body320valid
120.0ms329×body160valid
38.0ms293×body80valid