Details

Time bar (total: 26.1s)

sample435.0ms

Algorithm
intervals
Results
163.0ms98×body2560valid
140.0ms799×body80nan
70.0ms86×body1280valid
22.0ms36×body640valid
6.0ms15×body320valid
3.0ms10×body160valid
2.0ms11×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
72384
6661
5241
4101
341
217
110
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize29.0ms

Local error

Found 2 expressions with local error:

1.9b
(fmod a (asin a))
32.1b
(pow (atan (fmod a (asin a))) (* a a))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 unpow-prod-down *-un-lft-identity add-exp-log add-cube-cbrt
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 28
Calls
2 calls:
0.0ms
(fmod a (asin a))
6.0ms
(pow (atan (fmod a (asin a))) (* a a))

series36.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
33.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify5.6s

Counts
34 → 34
Iterations
IterNodes
57133
41811
3682
2269
1116
052

prune306.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 27.5b

localize31.0ms

Local error

Found 4 expressions with local error:

1.9b
(fmod a (asin a))
1.9b
(fmod a (asin a))
32.3b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
32.3b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 unpow-prod-down times-frac add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 68
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
3.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
8.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series65.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
31.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
31.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify2.3s

Counts
80 → 80
Iterations
IterNodes
43325
31115
2395
1166
070

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 27.5b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 30.8b against oracle of 30.8b and baseline of 30.8b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
19
09

end0.0ms

sample14.3s

Algorithm
intervals
Results
5.4s24271×body80nan
4.7s2967×body2560valid
2.3s2564×body1280valid
876.0ms1297×body640valid
277.0ms573×body320valid
148.0ms294×body160valid
58.0ms305×body80valid