Details

Time bar (total: 14.3s)

sample178.0ms

Algorithm
intervals
Results
62.0ms88×body2560valid
44.0ms863×body80nan
31.0ms89×body1280valid
11.0ms49×body640valid
2.0ms11×body320valid
2.0ms12×body160valid
1.0msbody80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
1109
2179
3419
4989
52589
68779
732149
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize8.0ms

Local error

Found 2 expressions with local error:

2.9b
(fmod a (asin a))
27.5b
(pow (atan (fmod a (asin a))) (* a a))

rewrite2.0ms

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))
1.0ms
(pow (atan (fmod a (asin a))) (* a a))

series22.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
21.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify3.5s

Counts
32 → 32
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
050352
1101337
2265319
3972318
44200316
done5001316

prune93.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 33.3b

localize12.0ms

Local error

Found 4 expressions with local error:

2.9b
(fmod a (asin a))
2.9b
(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))

rewrite6.0ms

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))
2.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
2.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series55.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
24.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify1.6s

Counts
76 → 76
Iterations

Useful iterations: 3 (349.0ms)

IterNodesCost
068960
1140898
2367866
31321824
done5000824

prune280.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 33.3b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 30.7b against oracle of 30.7b and baseline of 30.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.0s3023×body2560valid
1.2s24577×body80nan
1.2s2469×body1280valid
301.0ms1272×body640valid
110.0ms641×body320valid
37.0ms306×body160valid
30.0ms289×body80valid