Details

sample1.1s

Algorithm

intervals

Results

467.0ms	252×	body	10240	exit
164.0ms	99×	body	2560	valid
70.0ms	91×	body	1280	valid
48.0ms	89×	body	1280	nan
31.0ms	96×	body	640	nan
16.0ms	38×	body	640	valid
14.0ms	297×	body	80	nan
10.0ms	54×	body	320	nan
5.0ms	18×	body	320	valid
2.0ms	18×	body	160	nan
2.0ms	8×	body	160	valid
0.0ms	2×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

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: 61.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.9b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

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

series118.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cosh a)
48.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

simplify150.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	269	492
1	996	462
2	4603	442
3	5001	442

prune204.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 60.3b

Counts

61 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.2b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

6.0ms	(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))

series51.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(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))

simplify106.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (99.0ms)

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

prune236.0ms

Filtered

71 candidates to 52 candidates (73.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	71	9	80

Merged error: 60.3b

Counts

80 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

10.9b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(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))

series142.0ms

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))

simplify161.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (35.0ms)

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

prune269.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 60.3b

Counts

64 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(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))

series8.0ms

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

prune279.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	48	9	57

Merged error: 60.3b

Counts

57 → 9

regimes187.0ms

Accuracy

0% (0.3b remaining)

Error of 60.2b against oracle of 59.9b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	20	36

end0.0ms

sample24.9s

Algorithm

intervals

Results

13.7s	7780×	body	10240	exit
5.0s	3103×	body	2560	valid
1.9s	2604×	body	1280	valid
1.5s	2924×	body	1280	nan
728.0ms	2549×	body	640	nan
495.0ms	1231×	body	640	valid
396.0ms	8581×	body	80	nan
228.0ms	1286×	body	320	nan
183.0ms	645×	body	320	valid
74.0ms	633×	body	160	nan
63.0ms	307×	body	160	valid
12.0ms	110×	body	80	valid
11.0ms	5×	body	5120	nan
4.0ms	4×	body	2560	nan