Details

Time bar (total: 15.7s)

sample414.0ms

Algorithm
intervals
Results
197.0ms71×body5120exit
144.0ms80×body1280valid
42.0ms59×body640valid
10.0ms85×body80valid
5.0ms15×body320valid
4.0ms17×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: 34.9b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0b
(expm1 (sin (expm1 a)))
0.2b
(sin (expm1 a))
39.4b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×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
(atan2 (expm1 (sin (expm1 a))) (atan a))
1.0ms
(expm1 (sin (expm1 a)))
2.0ms
(sin (expm1 a))
1.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series65.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan2 (expm1 (sin (expm1 a))) (atan a))
1.0ms
(expm1 (sin (expm1 a)))
59.0ms
(sin (expm1 a))
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify124.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
039248
144212
254212
368212
4114212
5228212
6919212
73184212
85001212

prune150.0ms

Filtered
40 candidates to 28 candidates (70.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New281240
Fresh000
Picked101
Done000
Total291241

Merged error: 33.6b

Counts
41 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.7b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.7b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
39.5b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
1.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
1.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
1.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

series332.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
108.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
112.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify94.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
038628
168546
2145540
3478525
42428525
55002525

prune213.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh11011
Picked101
Done000
Total481664

Merged error: 33.5b

Counts
64 → 16

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
39.5b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
39.5b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
39.5b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite4.0ms

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

series116.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify96.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
038844
168702
2145700
3478655
42428655
55002655

prune269.0ms

Filtered
44 candidates to 34 candidates (77.3%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New38644
Fresh01515
Picked101
Done000
Total392160

Merged error: 33.2b

Counts
60 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
39.4b
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.5b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
39.5b
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite4.0ms

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

series116.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
2.0ms
(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
3.0ms
(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify96.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
046694
177582
2156340
3481340
42431340
55001340

prune193.0ms

Filtered
44 candidates to 32 candidates (72.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New37744
Fresh21820
Picked101
Done000
Total402565

Merged error: 33.1b

Counts
65 → 25

regimes342.0ms

Accuracy

0% (1.7b remaining)

Error of 33.2b against oracle of 31.5b and baseline of 33.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02770
12770

end0.0ms

sample13.0s

Algorithm
intervals
Results
7.0s2534×body5120exit
3.9s2274×body1280valid
1.2s1636×body640valid
324.0ms2845×body80valid
291.0ms822×body320valid
97.0ms420×body160valid
9.0ms2×body5120valid
2.0ms1×body2560valid

Profiling

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