Details

sample347.0ms

Algorithm

intervals

Results

262.0ms	247×	body	5120	exit
31.0ms	66×	body	1280	valid
12.0ms	51×	body	640	valid
7.0ms	5×	body	2560	valid
5.0ms	176×	body	80	nan
5.0ms	34×	body	320	valid
5.0ms	91×	body	80	valid
1.0ms	9×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

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: 33.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
38.3b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`cosh-def`

Counts

2 → 19

Calls

2 calls:

1.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series46.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify139.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	82	99
1	173	89
2	590	81
3	3626	79
4	5001	79

prune81.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	16	9	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	9	26

Merged error: 33.5b

Counts

26 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(log1p (cosh c))
0.0b	(expm1 (log1p (cosh c)))
38.6b	(fmod (expm1 (log1p (cosh c))) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

1.0ms	(cosh c)
1.0ms	(log1p (cosh c))
1.0ms	(expm1 (log1p (cosh c)))
1.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))

series288.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
104.0ms	(log1p (cosh c))
139.0ms	(expm1 (log1p (cosh c)))
3.0ms	(fmod (expm1 (log1p (cosh c))) (log1p a))

simplify166.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	136	229
1	275	206
2	832	178
3	4741	174
4	5001	174

prune139.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Merged error: 32.4b

Counts

62 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.4b	(exp (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
38.3b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`cosh-def` `rem-log-exp` `rem-exp-log`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cosh c)
4.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series66.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify148.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	119	302
1	237	271
2	700	257
3	4121	249
4	5001	249

prune169.0ms

Filtered

62 candidates to 41 candidates (66.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	57	15	72

Merged error: 32.4b

Counts

72 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.4b	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0b	(log (fmod (cosh c) (log1p a)))
38.3b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`exp-prod`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 77

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
5.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series60.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
2.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify130.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	141	511
1	444	461
2	2963	456
3	5001	456

prune185.0ms

Filtered

89 candidates to 51 candidates (57.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	86	18	104

Merged error: 32.4b

Counts

104 → 18

regimes375.0ms

Accuracy

0% (1.3b remaining)

Error of 33.9b against oracle of 32.7b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	15	19

end0.0ms

sample11.0s

Algorithm

intervals

Results

8.4s	7993×	body	5120	exit
1.1s	2278×	body	1280	valid
371.0ms	1550×	body	640	valid
173.0ms	5256×	body	80	nan
164.0ms	147×	body	2560	valid
144.0ms	2818×	body	80	valid
119.0ms	798×	body	320	valid
51.0ms	401×	body	160	valid
14.0ms	8×	body	5120	valid