Details

Time bar (total: 13.4s)

sample274.0ms

Algorithm
intervals
Results
91.0ms88×body2560valid
68.0ms862×body80nan
59.0ms86×body1280valid
16.0ms39×body640valid
5.0ms17×body320valid
2.0ms12×body160valid
1.0ms14×body80valid

simplify5.1s

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))

rewrite4.0ms

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

series31.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
27.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify2.5s

Counts
28 → 28
Iterations

Useful iterations: 3 (197.0ms)

IterNodesCost
046322
192308
2206290
3600288
42179288
done5001288

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 29.9b

localize18.0ms

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))

rewrite16.0ms

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))
6.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
8.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series51.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
27.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
20.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.0s

Counts
68 → 68
Iterations

Useful iterations: done (5.0s)

IterNodesCost
064892
1134832
2315800
3959762
44093760
done5001756

prune305.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.9b

regimes1.0ms