Details

Time bar (total: 58.1s)

sample322.0ms

Algorithm
intervals
Results
129.0ms862×body80nan
80.0ms88×body2560valid
45.0ms86×body1280valid
14.0ms39×body640valid
4.0ms17×body320valid
2.0ms12×body160valid
1.0ms14×body80valid

simplify34.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1129
2419
32409
done50019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize19.0ms

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))

series25.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
23.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify2.6s

Counts
32 → 32
Iterations

Useful iterations: done (2.6s)

IterNodesCost
050352
1203337
done5000319

prune154.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 29.9b

localize19.0ms

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))

rewrite12.0ms

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))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series169.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
59.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
103.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify8.8s

Counts
76 → 76
Iterations

Useful iterations: done (8.8s)

IterNodesCost
068960
1380906
done5000866

prune358.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.9b

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 31.2b against oracle of 31.1b and baseline of 31.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample11.6s

Algorithm
intervals
Results
4.5s2989×body2560valid
3.2s23815×body80nan
1.9s2529×body1280valid
547.0ms1250×body640valid
235.0ms645×body320valid
60.0ms297×body160valid
37.0ms290×body80valid