Details

sample58.0ms

Algorithm

intervals

Results

33.0ms	83×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	6×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.3b	(log (+ 1.0 (exp x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-div`
3×	`flip3-+` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

3 → 11

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
3.0ms	(- (log (+ 1.0 (exp x))) (* x y))
2.0ms	(log (+ 1.0 (exp x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
63.0ms	(- (log (+ 1.0 (exp x))) (* x y))
60.0ms	(log (+ 1.0 (exp x)))

simplify144.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 4 (140.0ms)

Iter	Nodes	Cost
0	156	136
1	444	130
2	1394	128
3	4658	124
4	5001	123

prune46.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Merged error: 0.2b

Counts

21 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
8.5b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--` `fma-udef`

Counts

3 → 5

Calls

3 calls:

2.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
1.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
17.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
56.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	170	117
1	551	108
2	2086	104
3	5002	97

prune38.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	14	3	17

Merged error: 0.2b

Counts

17 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0))) (* x y))
0.0b	(fma x 0.5 (log 2.0))
0.0b	(fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
1×	`sub-neg` `flip3--` `associate--l+` `flip--`

Counts

3 → 7

Calls

3 calls:

2.0ms	(- (fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0))) (* x y))
1.0ms	(fma x 0.5 (log 2.0))
1.0ms	(fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0))) (* x y))
171.0ms	(fma x 0.5 (log 2.0))
46.0ms	(fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	96	118
1	304	113
2	1379	101
3	5002	97

prune33.0ms

Filtered

16 candidates to 9 candidates (56.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	16	3	19

Merged error: 0.2b

Counts

19 → 3

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 0.5 y) (log 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma x (- 0.5 y) (log 2.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma x (- 0.5 y) (log 2.0))

simplify30.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	21	17
1	38	14
2	56	11
3	74	11
4	87	11
5	117	11
6	180	11
7	299	11
8	468	11
9	526	11
10	573	11
11	600	11
12	600	11

prune6.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	4	3	7

Merged error: 0.2b

Counts

7 → 3

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2506×	body	10240	exit
331.0ms	8428×	body	80	valid
72.0ms	251×	body	640	valid
59.0ms	116×	body	1280	valid
29.0ms	179×	body	320	valid
10.0ms	105×	body	160	valid

Iter	Nodes	Cost
0	21	17
1	38	14
2	56	11
3	74	11
4	87	11
5	117	11
6	180	11
7	299	11
8	468	11
9	526	11
10	573	11
11	600	11
12	600	11

Iter	Nodes	Cost
0	21	17
1	38	14
2	56	11
3	74	11
4	87	11
5	117	11
6	180	11
7	299	11
8	468	11
9	526	11
10	573	11
11	600	11
12	600	11

Iter	Nodes	Cost
0	21	17
1	38	14
2	56	11
3	74	11
4	87	11
5	117	11
6	180	11
7	299	11
8	468	11
9	526	11
10	573	11
11	600	11
12	600	11