Details

sample357.0ms

Algorithm

intervals

Results

276.0ms	277×	body	10240	exit
28.0ms	60×	body	1280	valid
12.0ms	53×	body	640	valid
6.0ms	201×	body	80	nan
5.0ms	4×	body	2560	valid
4.0ms	32×	body	320	valid
4.0ms	89×	body	80	valid
2.0ms	18×	body	160	valid

simplify220.0ms

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: 33.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

38.2b

(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify99.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50

prune40.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	7	5	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	6	13

Merged error: 33.9b

Counts

13 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
38.2b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify84.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune124.0ms

Filtered

49 candidates to 29 candidates (59.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	45	10	55

Merged error: 33.9b

Counts

55 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(pow E (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
38.2b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

3.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify203.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	108	348
1	291	299
2	977	295
3	4952	281
4	5001	281

prune140.0ms

Filtered

56 candidates to 34 candidates (60.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	8	0	8
Picked	0	1	1
Done	1	0	1
Total	57	9	66

Merged error: 33.9b

Counts

66 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
0.8b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.5b	(log (fmod (cosh c) (log1p a)))
38.2b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

2.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
4.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series85.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
45.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify74.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	181	617
1	544	555
2	2604	555
3	5001	543

prune191.0ms

Filtered

94 candidates to 51 candidates (54.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	88	15	103

Merged error: 33.9b

Counts

103 → 15

regimes342.0ms

Accuracy

0% (0.0b remaining)

Error of 34.4b against oracle of 34.3b and baseline of 34.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	12	5

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7806×	body	10240	exit
1.1s	2334×	body	1280	valid
354.0ms	1585×	body	640	valid
172.0ms	5365×	body	80	nan
154.0ms	143×	body	2560	valid
123.0ms	2740×	body	80	valid
103.0ms	771×	body	320	valid
42.0ms	422×	body	160	valid
9.0ms	5×	body	5120	valid