Details

Time bar (total: 27.2s)

sample380.0ms

Algorithm
intervals
Results
127.0ms99×body2560valid
85.0ms813×body80nan
53.0ms71×body1280valid
48.0ms39×body640valid
9.0ms26×body320valid
3.0ms11×body160valid
2.0ms10×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2179
3419
41089
54529
641789
done50029

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize25.0ms

Local error

Found 2 expressions with local error:

2.2b
(fmod a (asin a))
27.5b
(pow (atan (fmod a (asin a))) (* a a))

rewrite8.0ms

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))
7.0ms
(pow (atan (fmod a (asin a))) (* a a))

series40.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(fmod a (asin a))
36.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify8.1s

Counts
28 → 28
Iterations

Useful iterations: 3 (3.0s)

IterNodesCost
046322
1113308
2532290
34951288
done5000288

prune613.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize42.0ms

Local error

Found 4 expressions with local error:

2.2b
(fmod a (asin a))
2.2b
(fmod a (asin a))
27.7b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.7b
(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
add-cbrt-cube add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 56
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(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))

series75.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
34.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
35.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify615.0ms

Counts
68 → 68
Iterations

Useful iterations: done (612.0ms)

IterNodesCost
064892
1167840
2659800
done5000784

prune518.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.1b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample11.9s

Algorithm
intervals
Results
4.2s24078×body80nan
3.8s2978×body2560valid
1.9s2554×body1280valid
615.0ms1259×body640valid
198.0ms630×body320valid
72.0ms315×body160valid
44.0ms264×body80valid