Details

Time bar (total: 25.1s)

sample458.0ms

Algorithm
intervals
Results
175.0ms94×body2560valid
127.0ms753×body80nan
79.0ms77×body1280valid
26.0ms36×body640valid
13.0ms23×body320valid
4.0ms12×body160valid
3.0ms14×body80valid

simplify1.6s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize15.0ms

Local error

Found 2 expressions with local error:

3.9b
(fmod a (asin a))
29.4b
(pow (atan (fmod a (asin a))) (* a a))

rewrite4.0ms

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))
3.0ms
(pow (atan (fmod a (asin a))) (* a a))

series24.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
21.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify3.9s

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

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.6b

localize44.0ms

Local error

Found 4 expressions with local error:

3.9b
(fmod a (asin a))
3.9b
(fmod a (asin a))
29.7b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.7b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite22.0ms

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))
7.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
13.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series55.0ms

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))
32.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify3.9s

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

prune449.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.6b

regimes61.0ms

Accuracy

0% (0.0b remaining)

Error of 30.6b against oracle of 30.6b and baseline of 30.6b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample14.4s

Algorithm
intervals
Results
4.9s3022×body2560valid
4.7s23907×body80nan
2.9s2513×body1280valid
885.0ms1226×body640valid
275.0ms616×body320valid
97.0ms304×body160valid
60.0ms319×body80valid