Details

sample1.3s

Algorithm

intervals

Results

597.0ms	237×	body	5120	exit
197.0ms	104×	body	2560	valid
75.0ms	82×	body	1280	valid
52.0ms	73×	body	1280	nan
31.0ms	73×	body	640	nan
23.0ms	254×	body	80	nan
19.0ms	37×	body	640	valid
12.0ms	42×	body	320	nan
7.0ms	19×	body	320	valid
2.0ms	12×	body	160	nan
2.0ms	7×	body	160	valid
1.0ms	7×	body	80	valid

simplify50.0ms

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

prune5.0ms

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: 60.7b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b	(fmod (cosh a) (* a a))

rewrite8.0ms

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

series66.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(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))

simplify104.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (98.0ms)

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

prune160.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	7	48

Merged error: 59.4b

Counts

48 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite9.0ms

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:

4.0ms	(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))

simplify103.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (96.0ms)

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

prune222.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	71	7	78

Merged error: 59.4b

Counts

78 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

9.8b	(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))

series144.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(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))

simplify162.0ms

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

prune252.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	53	9	62

Merged error: 59.4b

Counts

62 → 9

localize24.0ms

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))

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))

simplify60.0ms

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

prune274.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	47	10	57

Merged error: 59.4b

Counts

57 → 10

regimes211.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	21
1	14	21

end0.0ms

sample32.7s

Algorithm

intervals

Results

18.9s	7878×	body	5120	exit
5.7s	3187×	body	2560	valid
2.2s	2496×	body	1280	valid
2.0s	2938×	body	1280	nan
1.0s	2490×	body	640	nan
708.0ms	8722×	body	80	nan
633.0ms	1267×	body	640	valid
334.0ms	1296×	body	320	nan
201.0ms	588×	body	320	valid
112.0ms	647×	body	160	nan
78.0ms	339×	body	160	valid
22.0ms	9×	body	5120	nan
14.0ms	123×	body	80	valid
7.0ms	6×	body	2560	nan