Details

Time bar (total: 24.4s)

sample264.0ms

Algorithm
intervals
Results
87.0ms88×body2560valid
66.0ms862×body80nan
47.0ms86×body1280valid
20.0ms39×body640valid
4.0ms17×body320valid
2.0ms12×body160valid
2.0ms14×body80valid

simplify4.8s

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: 30.1b

localize9.0ms

Local error

Found 2 expressions with local error:

2.2b
(fmod a (asin a))
29.2b
(pow (atan (fmod a (asin a))) (* a a))

rewrite7.0ms

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))
5.0ms
(pow (atan (fmod a (asin a))) (* a a))

series27.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
24.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify2.9s

Counts
28 → 28
Iterations

Useful iterations: 3 (192.0ms)

IterNodesCost
046322
192308
2206290
3600288
42179288
done5001288

prune109.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 29.9b

localize26.0ms

Local error

Found 4 expressions with local error:

2.2b
(fmod a (asin a))
2.2b
(fmod a (asin a))
29.4b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.4b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite20.0ms

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))
8.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
8.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series58.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
20.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
33.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.2s

Counts
68 → 68
Iterations

Useful iterations: done (5.2s)

IterNodesCost
064892
1134832
2315800
3959762
44093760
done5001756

prune276.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.9b

regimes60.0ms

Accuracy

0% (0.0b remaining)

Error of 31.2b against oracle of 31.1b and baseline of 31.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample10.7s

Algorithm
intervals
Results
3.9s2989×body2560valid
3.2s23815×body80nan
1.7s2529×body1280valid
689.0ms1250×body640valid
178.0ms645×body320valid
63.0ms297×body160valid
40.0ms290×body80valid