Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

347×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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	4587	3
12	5001	3

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.3b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

1.3b	(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)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune42.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 1.3b

Counts

15 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
1.3b	(fma (- y x) (/ z t) x)
1.3b	(fma (- y x) (/ z t) x)
1.3b	(fma (- y x) (/ z t) x)

rewrite5.0ms

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)

series311.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (fma (- y x) (/ z t) x))
38.0ms	(fma (- y x) (/ z t) x)
36.0ms	(fma (- y x) (/ z t) x)
41.0ms	(fma (- y x) (/ z t) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	117	320
1	277	290
2	1031	260
3	5001	255

prune177.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	52	8	60

Merged error: 1.2b

Counts

60 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (- y x) (/ z t) x)
1.3b	(fma (- y x) (/ z t) x)
1.3b	(fma (- y x) (/ z t) x)
1.3b	(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)

series144.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (- y x) (/ z t) x)
34.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)
36.0ms	(fma (- y x) (/ z t) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1248	212
4	5003	212

prune186.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	52	8	60

Merged error: 1.2b

Counts

60 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (- y x) (/ z t) x)
1.3b	(fma (- y x) (/ z t) x)
1.3b	(fma (- y x) (/ z t) x)
1.3b	(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)

series162.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)
43.0ms	(fma (- y x) (/ z t) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1248	212
4	5003	212

prune164.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	52	8	60

Merged error: 1.2b

Counts

60 → 8

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 1.9b against oracle of 1.8b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample619.0ms

Algorithm

intervals

Results

338.0ms

10685×

body

valid