Details

sample367.0ms

Algorithm

intervals

Results

202.0ms	82×	body	10240	exit
101.0ms	63×	body	1280	valid
29.0ms	44×	body	640	valid
11.0ms	106×	body	80	valid
9.0ms	30×	body	320	valid
3.0ms	13×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (sin (expm1 a)))
0.0b	(atan2 (expm1 (sin (expm1 a))) (atan a))
0.2b	(sin (expm1 a))
34.6b	(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:

0.0ms	(expm1 (sin (expm1 a)))
0.0ms	(atan2 (expm1 (sin (expm1 a))) (atan a))
2.0ms	(sin (expm1 a))
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series73.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(expm1 (sin (expm1 a)))
2.0ms	(atan2 (expm1 (sin (expm1 a))) (atan a))
66.0ms	(sin (expm1 a))
3.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify119.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	248
1	44	212
2	54	212
3	68	212
4	114	212
5	228	212
6	919	212
7	3184	212
8	5001	212

prune158.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 29.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
34.7b	(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

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)))
0.0ms	(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)

series349.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
113.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
114.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
4.0ms	(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)

simplify91.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	38	628
1	68	546
2	145	540
3	478	525
4	2428	525
5	5002	525

prune220.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 29.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
34.7b	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite4.0ms

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)))
0.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

series348.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
118.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
113.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
4.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify93.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	44	648
1	74	562
2	153	556
3	514	539
4	2557	539
5	5001	539

prune253.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 29.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
34.7b	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
34.7b	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
34.7b	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite2.0ms

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)))
0.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
0.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
0.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

series129.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))
4.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
4.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
4.0ms	(fmod (* (* (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a))) (log (exp (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))))) (cbrt (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify95.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	44	904
1	74	750
2	153	748
3	514	697
4	2557	697
5	5001	697

prune218.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 28.9b

regimes328.0ms

Accuracy

0% (1.7b remaining)

Error of 33.3b against oracle of 31.6b and baseline of 33.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	23	77

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.4s	2582×	body	10240	exit
3.8s	2314×	body	1280	valid
1.1s	1673×	body	640	valid
279.0ms	2850×	body	80	valid
246.0ms	774×	body	320	valid
77.0ms	383×	body	160	valid
14.0ms	3×	body	5120	valid
6.0ms	3×	body	2560	valid