Details

sample1.1s

Algorithm

intervals

Results

522.0ms	290×	body	10240	exit
173.0ms	104×	body	2560	valid
59.0ms	81×	body	1280	valid
46.0ms	88×	body	1280	nan
24.0ms	83×	body	640	nan
16.0ms	41×	body	640	valid
15.0ms	291×	body	80	nan
7.0ms	42×	body	320	nan
4.0ms	13×	body	320	valid
3.0ms	14×	body	160	valid
2.0ms	15×	body	160	nan
0.0ms	3×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5002	6

prune4.0ms

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: 61.0b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

3.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series59.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify105.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	220	450
1	820	423
2	3551	413
3	5001	405

prune164.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	6	48

Merged error: 59.7b

Counts

48 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.3b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

3.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series53.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify104.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	265	654
1	902	598
2	3697	588
3	5001	580

prune262.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Merged error: 59.7b

Counts

77 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

11.5b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

2.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series141.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify163.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	61	413
1	114	342
2	274	337
3	731	331
4	3953	311
5	5001	311

prune276.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	55	10	65

Merged error: 59.7b

Counts

65 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite4.0ms

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 (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify61.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	228
1	42	200
2	94	200
3	232	200
4	1067	200
5	5001	200

prune267.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	46	12	58

Merged error: 59.7b

Counts

58 → 12

regimes164.0ms

Accuracy

0% (0.3b remaining)

Error of 60.1b against oracle of 59.8b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	25	37

end0.0ms

sample24.6s

Algorithm

intervals

Results

13.2s	7542×	body	10240	exit
5.2s	3210×	body	2560	valid
1.8s	2478×	body	1280	valid
1.5s	2936×	body	1280	nan
711.0ms	2517×	body	640	nan
495.0ms	1227×	body	640	valid
393.0ms	8554×	body	80	nan
221.0ms	1269×	body	320	nan
179.0ms	630×	body	320	valid
74.0ms	617×	body	160	nan
73.0ms	342×	body	160	valid
13.0ms	6×	body	5120	nan
12.0ms	113×	body	80	valid
7.0ms	7×	body	2560	nan