Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

353×

body

valid

simplify155.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4585	3
12	5001	3

prune7.0ms

Filtered

1 candidates to 1 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: 1.9b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

1.8b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (/ z t) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (- y x) (/ z t) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1247	53
4	5002	53

prune31.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 1.8b

Counts

15 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (- y x) (/ z t) x))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series324.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (fma (- y x) (/ z t) x))
37.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	117	320
1	277	290
2	1031	260
3	5002	255

prune124.0ms

Filtered

55 candidates to 44 candidates (20.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	52	7	59

Merged error: 1.8b

Counts

59 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)

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` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series155.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (- y x) (/ z t) x)
37.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1247	212
4	5002	212

prune143.0ms

Filtered

52 candidates to 40 candidates (23.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	51	8	59

Merged error: 1.8b

Counts

59 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)
1.8b	(fma (- y x) (/ z t) x)
2.0b	(expm1 (log1p (fma (- y x) (/ z t) x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`log1p-expm1-u`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`fma-udef`
2×	`expm1-log1p`
1×	`expm1-udef`

Counts

4 → 42

Calls

4 calls:

1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(expm1 (log1p (fma (- y x) (/ z t) x)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma (- y x) (/ z t) x)
41.0ms	(fma (- y x) (/ z t) x)
37.0ms	(fma (- y x) (/ z t) x)
169.0ms	(expm1 (log1p (fma (- y x) (/ z t) x)))

simplify127.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (121.0ms)

Iter	Nodes	Cost
0	116	280
1	272	252
2	873	225
3	4198	219
4	5001	211

prune164.0ms

Filtered

54 candidates to 41 candidates (24.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	54	8	62

Merged error: 1.8b

Counts

62 → 8

regimes189.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample545.0ms

Algorithm

intervals

Results

284.0ms

10647×

body

valid