Details

Time bar (total: 24.1s)

sample334.0ms

Algorithm
intervals
Results
117.0ms808×body80nan
87.0ms82×body2560valid
60.0ms96×body1280valid
17.0ms41×body640valid
4.0ms15×body320valid
3.0ms12×body160valid
1.0ms10×body80valid

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5000
64067
5452
4108
341
217
110
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize13.0ms

Local error

Found 2 expressions with local error:

2.7b
(fmod a (asin a))
27.0b
(pow (atan (fmod a (asin a))) (* a a))

rewrite6.0ms

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

series36.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
34.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify5.5s

Counts
32 → 32
Iterations
IterNodes
done5000
34971
2550
1118
050

prune226.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 33.6b

localize50.0ms

Local error

Found 4 expressions with local error:

2.7b
(fmod a (asin a))
2.7b
(fmod a (asin a))
27.0b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.0b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite19.0ms

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 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))
7.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
7.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series65.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
27.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
31.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify3.8s

Counts
76 → 76
Iterations
IterNodes
done5000
34778
2672
1172
068

prune533.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 33.6b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample9.1s

Algorithm
intervals
Results
3.0s24124×body80nan
2.6s2966×body2560valid
1.7s2493×body1280valid
556.0ms1263×body640valid
200.0ms635×body320valid
54.0ms311×body160valid
37.0ms332×body80valid