Details

sample349.0ms

Algorithm

intervals

Results

258.0ms	251×	body	10240	exit
33.0ms	72×	body	1280	valid
11.0ms	9×	body	2560	valid
10.0ms	47×	body	640	valid
6.0ms	192×	body	80	nan
4.0ms	88×	body	80	valid
3.0ms	2×	body	5120	valid
3.0ms	24×	body	320	valid
1.0ms	14×	body	160	valid

simplify221.0ms

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: 34.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

39.2b

(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))

simplify100.0ms

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

prune43.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Merged error: 34.5b

Counts

13 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
39.2b	(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))

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify86.0ms

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

prune134.0ms

Filtered

49 candidates to 29 candidates (59.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	40	9	49
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	42	13	55

Merged error: 34.5b

Counts

55 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
39.2b	(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))

series68.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify201.0ms

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

prune148.0ms

Filtered

56 candidates to 32 candidates (57.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	8	4	12
Picked	0	1	1
Done	0	0	0
Total	55	14	69

Merged error: 34.5b

Counts

69 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0b	(log (fmod (cosh c) (log1p a)))
39.2b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(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))

series100.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
46.0ms	(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))

simplify35.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	201	619
1	695	532
2	5001	525

prune213.0ms

Filtered

96 candidates to 55 candidates (57.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	1	11	12
Picked	1	0	1
Done	1	0	1
Total	88	22	110

Merged error: 34.5b

Counts

110 → 22

regimes485.0ms

Accuracy

0% (0.0b remaining)

Error of 34.2b against oracle of 34.1b and baseline of 34.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	19	19
2	19	19

end0.0ms

sample10.4s

Algorithm

intervals

Results

8.0s	8004×	body	10240	exit
1.0s	2295×	body	1280	valid
339.0ms	1573×	body	640	valid
159.0ms	5218×	body	80	nan
147.0ms	133×	body	2560	valid
123.0ms	2766×	body	80	valid
107.0ms	825×	body	320	valid
40.0ms	404×	body	160	valid
6.0ms	4×	body	5120	valid