Details

Time bar (total: 26.2s)

sample308.0ms

Algorithm
intervals
Results
119.0ms88×body2560valid
71.0ms821×body80nan
49.0ms83×body1280valid
16.0ms41×body640valid
7.0ms23×body320valid
3.0ms11×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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.0b

localize19.0ms

Local error

Found 2 expressions with local error:

3.9b
(fmod a (asin a))
26.3b
(pow (atan (fmod a (asin a))) (* a a))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 26
Calls
2 calls:
1.0ms
(fmod a (asin a))
8.0ms
(pow (atan (fmod a (asin a))) (* a a))

series30.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
28.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify4.1s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
050352
197337
2216319
3650318
42378316
done5000316

prune164.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 34.8b

localize26.0ms

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
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 64
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))

series75.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(fmod a (asin a))
4.0ms
(fmod a (asin a))
38.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.4s

Counts
76 → 76
Iterations

Useful iterations: 4 (2.9s)

IterNodesCost
068960
1139898
2322866
31000824
44280820
done5000820

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 34.8b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample10.9s

Algorithm
intervals
Results
3.7s23838×body80nan
3.7s2948×body2560valid
1.5s2545×body1280valid
560.0ms1248×body640valid
181.0ms637×body320valid
115.0ms329×body160valid
37.0ms293×body80valid