Details

Time bar (total: 21.3s)

sample289.0ms

Algorithm
intervals
Results
95.0ms95×body2560valid
65.0ms773×body80nan
49.0ms41×body640valid
49.0ms84×body1280valid
5.0ms20×body320valid
1.0ms10×body80valid
1.0msbody160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5003
61190
5241
4101
341
217
110
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize15.0ms

Local error

Found 2 expressions with local error:

1.9b
(fmod a (asin a))
29.7b
(pow (atan (fmod a (asin a))) (* a a))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 unpow-prod-down *-un-lft-identity add-exp-log add-cube-cbrt
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 28
Calls
2 calls:
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (* a a))

series34.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
31.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify3.4s

Counts
34 → 34
Iterations
IterNodes
done5006
43485
31069
2284
1116
052

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.1b

localize25.0ms

Local error

Found 4 expressions with local error:

1.9b
(fmod a (asin a))
1.9b
(fmod a (asin a))
30.1b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
30.1b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 unpow-prod-down times-frac add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 68
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
9.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
9.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series81.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
37.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
39.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify4.0s

Counts
80 → 80
Iterations
IterNodes
done5001
44050
31316
2406
1168
070

prune494.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.1b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 30.8b against oracle of 30.8b and baseline of 30.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample11.2s

Algorithm
intervals
Results
4.5s3086×body2560valid
3.0s23752×body80nan
2.2s2474×body1280valid
511.0ms1262×body640valid
221.0ms602×body320valid
72.0ms298×body160valid
37.0ms278×body80valid