Details

Time bar (total: 14.7s)

sample314.0ms

Algorithm
intervals
Results
101.0ms88×body2560valid
83.0ms862×body80nan
57.0ms86×body1280valid
32.0ms39×body640valid
5.0ms17×body320valid
3.0ms12×body160valid
2.0ms14×body80valid

simplify4.8s

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:

2.2b
(fmod a (asin a))
29.2b
(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))

series21.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
19.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify3.7s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
050352
197337
2216319
3650318
42378316
done5000316

prune109.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 29.9b

localize14.0ms

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))

rewrite21.0ms

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))
8.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
9.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series78.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
30.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
43.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.3s

Counts
76 → 76
Iterations

Useful iterations: 4 (2.8s)

IterNodesCost
068960
1139898
2322866
31000824
44280820
done5000820

prune373.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.9b

regimes0.0ms