Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	87×	body	1280	valid
9.0ms	83×	body	10240	exit
5.0ms	49×	body	640	valid
2.0ms	87×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

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: 42.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
2.5b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `clear-num` `div-inv`

Counts

2 → 9

Calls

2 calls:

4.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)

series42.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	89	63
1	199	62
2	566	60
3	1822	59
4	5001	58

prune40.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (fma (fma x 1/6 1/2) (pow x 2) x))
0.0b	(fma (fma x 1/6 1/2) (pow x 2) x)
0.1b	(fma x 1/6 1/2)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 5

Calls

3 calls:

2.0ms	(/ (exp x) (fma (fma x 1/6 1/2) (pow x 2) x))
1.0ms	(fma (fma x 1/6 1/2) (pow x 2) x)
1.0ms	(fma x 1/6 1/2)

series98.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (exp x) (fma (fma x 1/6 1/2) (pow x 2) x))
26.0ms	(fma (fma x 1/6 1/2) (pow x 2) x)
35.0ms	(fma x 1/6 1/2)

simplify151.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (148.0ms)

Iter	Nodes	Cost
0	96	65
1	271	60
2	922	58
3	4250	58
4	5001	54

prune33.0ms

Filtered

14 candidates to 7 candidates (50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (fma (fma x 1/6 1/2) (pow x 2) x) (exp x)))
0.0b	(fma (fma x 1/6 1/2) (pow x 2) x)
0.1b	(fma x 1/6 1/2)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`clear-num` `associate-/r/`
2×	`frac-2neg` `fma-udef` `div-inv`
1×	`associate-/r*` `remove-double-div` `inv-pow`

Counts

3 → 11

Calls

3 calls:

3.0ms	(/ 1 (/ (fma (fma x 1/6 1/2) (pow x 2) x) (exp x)))
1.0ms	(fma (fma x 1/6 1/2) (pow x 2) x)
1.0ms	(fma x 1/6 1/2)

series99.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (/ (fma (fma x 1/6 1/2) (pow x 2) x) (exp x)))
30.0ms	(fma (fma x 1/6 1/2) (pow x 2) x)
32.0ms	(fma x 1/6 1/2)

simplify47.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	105	81
1	325	75
2	1439	73
3	5001	73

prune43.0ms

Filtered

20 candidates to 11 candidates (55.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0.0b

Counts

24 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.1b	(fma 1/12 x (/ 1 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

2 → 5

Calls

2 calls:

2.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
1.0ms	(fma 1/12 x (/ 1 x))

series65.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
49.0ms	(fma 1/12 x (/ 1 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	55	43
1	154	42
2	563	41
3	2483	40
4	5001	38

prune11.0ms

Filtered

11 candidates to 5 candidates (45.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

regimes36.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

394.0ms	2308×	body	1280	valid
301.0ms	2640×	body	10240	exit
178.0ms	1612×	body	640	valid
55.0ms	2871×	body	80	valid
55.0ms	783×	body	320	valid
19.0ms	427×	body	160	valid