Details

Time bar (total: 20.2s)

sample309.0ms

Algorithm
intervals
Results
95.0ms92×body2560valid
81.0ms81×body1280valid
69.0ms728×body80nan
15.0ms34×body640valid
7.0ms26×body320valid
2.0ms15×body80valid
2.0msbody160valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1109
2179
3419
41089
54529
641789
done50029

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize20.0ms

Local error

Found 2 expressions with local error:

3.2b
(fmod a (asin a))
27.2b
(pow (atan (fmod a (asin a))) (* a a))

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))

series39.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
36.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify495.0ms

Counts
32 → 32
Iterations

Useful iterations: done (494.0ms)

IterNodesCost
050352
1119337
2554319
done5000318

prune157.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 32.3b

localize20.0ms

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))

rewrite14.0ms

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))
6.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series61.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
32.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
22.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify4.1s

Counts
76 → 76
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
068960
1172906
2669866
34954824
done5000824

prune456.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 32.3b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
done923

end0.0ms

sample10.7s

Algorithm
intervals
Results
4.0s24032×body80nan
3.1s2929×body2560valid
1.7s2576×body1280valid
577.0ms1283×body640valid
208.0ms588×body320valid
71.0ms327×body160valid
39.0ms297×body80valid