Details

sample449.0ms

Algorithm

intervals

Results

214.0ms	77×	body	10240	exit
141.0ms	70×	body	1280	valid
47.0ms	55×	body	640	valid
16.0ms	83×	body	80	valid
10.0ms	23×	body	320	valid
8.0ms	24×	body	160	valid
2.0ms	1×	body	2560	valid

simplify2.0ms

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: 34.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0b	(expm1 (sin (expm1 a)))
0.7b	(sin (expm1 a))
38.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite2.0ms

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	(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0ms	(expm1 (sin (expm1 a)))
1.0ms	(sin (expm1 a))
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series67.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan2 (expm1 (sin (expm1 a))) (atan a))
1.0ms	(expm1 (sin (expm1 a)))
61.0ms	(sin (expm1 a))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify121.0ms

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

prune153.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))
0.3b	(exp (atan2 (expm1 (sin (expm1 a))) (atan a)))
0.7b	(sin (expm1 a))
38.8b	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`log-prod`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 40

Calls

4 calls:

1.0ms	(log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))
1.0ms	(exp (atan2 (expm1 (sin (expm1 a))) (atan a)))
1.0ms	(sin (expm1 a))
0.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

series95.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (atan2 (expm1 (sin (expm1 a))) (atan a))))
33.0ms	(exp (atan2 (expm1 (sin (expm1 a))) (atan a)))
55.0ms	(sin (expm1 a))
5.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify98.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 7 (94.0ms)

Iter	Nodes	Cost
0	63	401
1	92	342
2	121	342
3	180	342
4	339	342
5	863	342
6	3913	342
7	5001	338

prune205.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 33.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(sin (expm1 a))
38.8b	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
38.8b	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
38.8b	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

rewrite2.0ms

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

series65.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (expm1 a))
2.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
2.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
2.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)

simplify101.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	360
1	34	298
2	40	298
3	48	298
4	76	298
5	150	298
6	651	298
7	2184	298
8	5001	298

prune282.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(sin (expm1 a))
38.8b	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
38.8b	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
38.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite2.0ms

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

series66.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (expm1 a))
2.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
2.0ms	(fmod (log (exp (atan2 (expm1 (sin (expm1 a))) (atan a)))) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify102.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	34	300
1	37	256
2	43	256
3	51	256
4	79	256
5	153	256
6	654	256
7	2187	256
8	5001	256

prune187.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 32.9b

regimes335.0ms

Accuracy

0% (1.7b remaining)

Error of 33.7b against oracle of 32.0b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	17	28

end0.0ms

sample13.7s

Algorithm

intervals

Results

6.9s	2516×	body	10240	exit
4.2s	2277×	body	1280	valid
1.4s	1652×	body	640	valid
517.0ms	2768×	body	80	valid
382.0ms	868×	body	320	valid
137.0ms	432×	body	160	valid
9.0ms	2×	body	5120	valid
2.0ms	1×	body	2560	valid