Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	66×	body	1280	valid
7.0ms	64×	body	10240	exit
7.0ms	61×	body	640	valid
2.0ms	95×	body	80	valid
1.0ms	22×	body	320	valid
1.0ms	12×	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: 39.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
3.9b	(- (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:

26.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify63.0ms

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

prune34.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

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)
0.2b	(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)

series95.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (exp x) (fma (fma x 1/6 1/2) (pow x 2) x))
25.0ms	(fma (fma x 1/6 1/2) (pow x 2) x)
33.0ms	(fma x 1/6 1/2)

simplify156.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (153.0ms)

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

prune26.0ms

Filtered

14 candidates to 7 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize6.0ms

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))

series62.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
47.0ms	(fma 1/12 x (/ 1 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	55	40
1	154	40
2	563	38
3	2483	37
4	5001	37

prune10.0ms

Filtered

11 candidates to 5 candidates (45.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

regimes41.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

377.0ms	2250×	body	1280	valid
276.0ms	2574×	body	10240	exit
181.0ms	1666×	body	640	valid
61.0ms	836×	body	320	valid
53.0ms	2822×	body	80	valid
18.0ms	426×	body	160	valid