Details

Time bar (total: 15.4s)

sample467.0ms

Algorithm
intervals
Results
248.0ms91×body5120exit
154.0ms82×body1280valid
30.0ms44×body640valid
10.0ms29×body320valid
10.0ms89×body80valid
3.0ms12×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087

prune3.0ms

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: 33.5b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (sin (expm1 a)))
0.0b
(expm1 a)
0.0b
(sin (expm1 a))
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
1.0ms
(expm1 (sin (expm1 a)))
1.0ms
(expm1 a)
2.0ms
(sin (expm1 a))
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series66.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(expm1 (sin (expm1 a)))
1.0ms
(expm1 a)
62.0ms
(sin (expm1 a))
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify122.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
039196
144168
254168
368168
4114168
5228168
6919168
73184168
85001168

prune139.0ms

Filtered
40 candidates to 28 candidates (70.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New301040
Fresh000
Picked011
Done000
Total301141

Merged error: 32.7b

Counts
41 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
cbrt-prod
pow1/3
Counts
4 → 32
Calls
4 calls:
1.0ms
(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series122.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify256.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
034413
163335
2140333
3584333
44641333
55001333

prune191.0ms

Filtered
44 candidates to 31 candidates (70.5%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New37744
Fresh279
Picked011
Done011
Total391655

Merged error: 32.7b

Counts
55 → 16

localize21.0ms

Local error

Found 4 expressions with local error:

38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series11.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
5.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify97.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
015352
117300
221300
326300
445300
599300
6505300
71672300
85001300

prune194.0ms

Filtered
40 candidates to 28 candidates (70.0%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New38240
Fresh11213
Picked011
Done022
Total391756

Merged error: 32.7b

Counts
56 → 17

localize30.0ms

Local error

Found 4 expressions with local error:

38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series8.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify96.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
015352
117300
221300
326300
445300
599300
6505300
71672300
85001300

prune160.0ms

Filtered
40 candidates to 28 candidates (70.0%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New39140
Fresh01313
Picked101
Done033
Total401757

Merged error: 32.7b

Counts
57 → 17

regimes284.0ms

Accuracy

0% (0.8b remaining)

Error of 33.6b against oracle of 32.8b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087

end0.0ms

sample13.1s

Algorithm
intervals
Results
7.2s2612×body5120exit
3.8s2261×body1280valid
1.2s1659×body640valid
314.0ms2774×body80valid
298.0ms848×body320valid
103.0ms449×body160valid
23.0msbody5120valid
10.0msbody2560valid

Profiling

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