Details

Time bar (total: 6.3s)

sample183.0ms

Algorithm
intervals
Results
71.0ms95×body2560valid
45.0ms665×body80nan
30.0ms78×body1280valid
12.0ms46×body640valid
3.0ms15×body320valid
1.0ms11×body160valid
1.0ms11×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1175
2405
31045
43285
518975
650025

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.3b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

1.9b
(fmod a (asin a))
28.0b
(pow (atan (fmod a (asin a))) (* a a))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×pow-unpow
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log unpow-prod-down swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp *-commutative unswap-sqr sqr-pow
Counts
2 → 40
Calls
2 calls:
1.0ms
(fmod a (asin a))
5.0ms
(pow (atan (fmod a (asin a))) (* a a))

series20.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
19.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify114.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0166274
1608263
23000263
35002262

prune93.0ms

Filtered
46 candidates to 33 candidates (28.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done000
Total46147

Merged error: 32.3b

Counts
47 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.2s2988×body2560valid
1.6s23995×body80nan
995.0ms2511×body1280valid
322.0ms1268×body640valid
105.0ms603×body320valid
40.0ms313×body160valid
26.0ms317×body80valid