Details

sample1.1s

Algorithm

intervals

Results

433.0ms	238×	body	10240	exit
164.0ms	100×	body	2560	valid
63.0ms	82×	body	1280	valid
50.0ms	91×	body	1280	nan
24.0ms	284×	body	80	nan
22.0ms	73×	body	640	nan
16.0ms	38×	body	640	valid
7.0ms	40×	body	320	nan
6.0ms	20×	body	320	valid
3.0ms	27×	body	160	nan
3.0ms	13×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	1×	body	2560	nan
0.0ms	3×	body	80	valid

simplify49.0ms

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	1268	6
6	5001	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: 60.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.6b	(fmod (cosh a) (* a a))

rewrite14.0ms

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))
8.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series61.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(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 (99.0ms)

Iter	Nodes	Cost
0	220	450
1	820	423
2	3547	413
3	5002	405

prune147.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	38	9	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	9	48

Merged error: 59.7b

Counts

48 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
14.6b	(log (exp (fmod (cosh a) (* a a))))
59.6b	(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×	`add-exp-log` `exp-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`rem-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 60

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))

series52.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(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))

simplify121.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	265	654
1	902	598
2	3693	590
3	5001	586

prune222.0ms

Filtered

72 candidates to 54 candidates (75.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	70	11	81

Merged error: 59.7b

Counts

81 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

14.2b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

29×	`log-pow`
27×	`exp-prod`
22×	`add-sqr-sqrt`
16×	`cbrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`log-prod`
2×	`rem-log-exp`
1×	`exp-to-pow` `*-commutative`

Counts

4 → 70

Calls

4 calls:

9.0ms	(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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(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))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	155	615
1	401	543
2	1565	507
3	5002	494

prune314.0ms

Filtered

82 candidates to 62 candidates (75.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	81	12	93

Merged error: 59.7b

Counts

93 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(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))

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	1059	200
5	5003	200

prune254.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	47	13	60

Merged error: 59.6b

Counts

60 → 13

regimes281.0ms

Accuracy

0% (0.3b remaining)

Error of 60.0b against oracle of 59.7b and baseline of 60.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	20	36

end0.0ms

sample25.2s

Algorithm

intervals

Results

13.8s	7833×	body	10240	exit
5.0s	3109×	body	2560	valid
1.9s	2544×	body	1280	valid
1.5s	2882×	body	1280	nan
715.0ms	2494×	body	640	nan
512.0ms	1249×	body	640	valid
417.0ms	8587×	body	80	nan
220.0ms	1249×	body	320	nan
188.0ms	637×	body	320	valid
72.0ms	611×	body	160	nan
70.0ms	331×	body	160	valid
33.0ms	15×	body	5120	nan
14.0ms	130×	body	80	valid
10.0ms	11×	body	2560	nan