Details

Time bar (total: 25.9s)

sample314.0ms

Algorithm
intervals
Results
91.0ms88×body2560valid
70.0ms862×body80nan
50.0ms86×body1280valid
39.0ms17×body320valid
15.0ms39×body640valid
2.0ms12×body160valid
2.0ms14×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2179
3419
41049
52749
68709
733949
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))

rewrite9.0ms

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:
1.0ms
(fmod a (asin a))
7.0ms
(pow (atan (fmod a (asin a))) (* a a))

series41.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
37.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify3.8s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
050352
197337
2216319
3650318
42378316
done5000316

prune99.0ms

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))

rewrite11.0ms

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))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series82.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
44.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
31.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.8s

Counts
76 → 76
Iterations

Useful iterations: 4 (3.4s)

IterNodesCost
068960
1139898
2322866
31000824
44280820
done5000820

prune397.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.9b

regimes47.0ms

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

sample10.5s

Algorithm
intervals
Results
3.6s2989×body2560valid
2.8s23815×body80nan
1.6s2529×body1280valid
1.0s1250×body640valid
297.0ms645×body320valid
57.0ms297×body160valid
37.0ms290×body80valid