Details

Time bar (total: 6.1s)

sample193.0ms

Algorithm
intervals
Results
75.0ms104×body2560valid
54.0ms773×body80nan
28.0ms73×body1280valid
11.0ms42×body640valid
3.0ms18×body320valid
1.0ms10×body160valid
1.0msbody80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
518975
650025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.9b
(fmod a (asin a))
29.4b
(pow (atan (fmod a (asin a))) (* a a))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
pow-unpow
pow-to-exp *-commutative sqr-pow
Counts
2 → 4
Calls
2 calls:
1.0ms
(fmod a (asin a))
2.0ms
(pow (atan (fmod a (asin a))) (* a a))

series17.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
16.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify232.0ms

Algorithm
egg-herbie
Counts
10 → 10
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05758
118458
265758
3457058
4500258

prune17.0ms

Filtered
10 candidates to 5 candidates (50.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done000
Total10111

Merged error: 30.9b

Counts
11 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.0s3032×body2560valid
1.6s23979×body80nan
944.0ms2489×body1280valid
320.0ms1263×body640valid
101.0ms576×body320valid
44.0ms339×body160valid
25.0ms301×body80valid