Details

Time bar (total: 20.6s)

sample310.0ms

Algorithm
intervals
Results
105.0ms104×body2560valid
96.0ms735×body80nan
52.0ms90×body1280valid
11.0ms29×body640valid
5.0ms19×body320valid
1.0ms10×body80valid
1.0msbody160valid

simplify5.5s

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

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b
(fmod a (asin a))
30.1b
(pow (atan (fmod a (asin a))) (* a a))

rewrite5.0ms

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:
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (* a a))

series32.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(fmod a (asin a))
29.0ms
(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

prune144.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.1b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
done69

end0.0ms

sample10.5s

Algorithm
intervals
Results
3.6s2981×body2560valid
2.5s23928×body80nan
2.2s2552×body1280valid
1.0s1251×body640valid
163.0ms633×body320valid
52.0ms280×body160valid
36.0ms303×body80valid