Details

Time bar (total: 5.7s)

sample155.0ms

Algorithm
intervals
Results
52.0ms83×body2560valid
35.0ms839×body80nan
28.0ms90×body1280valid
8.0ms38×body640valid
2.0ms17×body320valid
2.0ms15×body160valid
1.0ms13×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025
done50025

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize13.0ms

Local error

Found 2 expressions with local error:

3.4b
(fmod a (asin a))
27.7b
(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))

series23.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
21.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify55.0ms

Counts
28 → 28
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
096180
1340169
21284169
35001169
done5001169

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 31.9b

localize11.0ms

Local error

Found 4 expressions with local error:

3.4b
(fmod a (asin a))
3.4b
(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))

rewrite13.0ms

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))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series48.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
21.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
23.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify97.0ms

Counts
68 → 68
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0137494
1515470
22532458
35001454
done5001454

prune180.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 31.9b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
1913
done913

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.0s3050×body2560valid
1.1s24471×body80nan
831.0ms2456×body1280valid
277.0ms1221×body640valid
96.0ms634×body320valid
39.0ms344×body160valid
30.0ms295×body80valid