Details

sample448.0ms

Algorithm

intervals

Results

238.0ms	84×	body	5120	exit
135.0ms	79×	body	1280	valid
43.0ms	57×	body	640	valid
10.0ms	84×	body	80	valid
8.0ms	24×	body	320	valid
3.0ms	12×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 34.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (sin (expm1 a)))
0.0b	(sin (expm1 a))
0.0b	(atan2 (expm1 (sin (expm1 a))) (atan a))
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`log1p-expm1-u`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
2×	`expm1-udef`
1×	`expm1-log1p` `sin-diff`

Counts

4 → 39

Calls

4 calls:

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

series163.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(expm1 (sin (expm1 a)))
67.0ms	(sin (expm1 a))
2.0ms	(atan2 (expm1 (sin (expm1 a))) (atan a))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify123.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	108	302
1	242	264
2	720	264
3	2933	264
4	5001	264

prune196.0ms

Filtered

51 candidates to 39 candidates (76.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	39	12	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	13	52

Merged error: 33.4b

Counts

52 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 40

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)

series136.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(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)

simplify253.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	471
1	67	393
2	144	391
3	589	391
4	4672	391
5	5001	391

prune243.0ms

Filtered

52 candidates to 39 candidates (75.0%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	46	19	65

Merged error: 33.4b

Counts

65 → 19

localize20.0ms

Local error

Found 4 expressions with local error:

39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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)

simplify94.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	408
1	19	356
2	23	356
3	28	356
4	47	356
5	101	356
6	507	356
7	1681	356
8	5001	356

prune265.0ms

Filtered

48 candidates to 36 candidates (75.0%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	16	16
Picked	1	0	1
Done	0	2	2
Total	46	21	67

Merged error: 33.4b

Counts

67 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.8b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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)

series9.0ms

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

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	408
1	19	356
2	23	356
3	28	356
4	47	356
5	101	356
6	507	356
7	1681	356
8	5001	356

prune205.0ms

Filtered

48 candidates to 36 candidates (75.0%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	17	18
Picked	1	0	1
Done	0	2	2
Total	47	22	69

Merged error: 33.4b

Counts

69 → 22

regimes371.0ms

Accuracy

0% (1.2b remaining)

Error of 33.4b against oracle of 32.1b and baseline of 33.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7

end0.0ms

sample13.2s

Algorithm

intervals

Results

7.2s	2620×	body	5120	exit
3.9s	2254×	body	1280	valid
1.2s	1680×	body	640	valid
322.0ms	2816×	body	80	valid
288.0ms	816×	body	320	valid
102.0ms	432×	body	160	valid
5.0ms	1×	body	5120	valid
2.0ms	1×	body	2560	valid