Details

Time bar (total: 20.4s)

sample227.0ms

Algorithm
intervals
Results
83.0ms92×body2560valid
52.0ms728×body80nan
41.0ms81×body1280valid
11.0ms34×body640valid
6.0ms26×body320valid
2.0ms15×body80valid
1.0msbody160valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2179
3419
41089
54529
641789
done50029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize9.0ms

Local error

Found 2 expressions with local error:

3.2b
(fmod a (asin a))
27.2b
(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))

series23.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(fmod a (asin a))
20.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify5.9s

Counts
28 → 28
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
046322
1113308
2532290
34951288
done5000288

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 32.3b

localize27.0ms

Local error

Found 4 expressions with local error:

3.2b
(fmod a (asin a))
3.2b
(fmod a (asin a))
27.5b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.5b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite26.0ms

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))
15.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
8.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series59.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
19.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
35.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify441.0ms

Counts
68 → 68
Iterations

Useful iterations: done (438.0ms)

IterNodesCost
064892
1167840
2659800
done5000784

prune345.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 32.3b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 31.4b against oracle of 31.4b and baseline of 31.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample9.4s

Algorithm
intervals
Results
3.1s2929×body2560valid
2.7s24032×body80nan
1.9s2576×body1280valid
530.0ms1283×body640valid
238.0ms588×body320valid
58.0ms327×body160valid
33.0ms297×body80valid