Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

354×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 3.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

3.1b	(fma (/ x y) (- z t) t)

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune37.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	5	14

Merged error: 3.1b

Counts

14 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ x y) (- z t) t))
3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)

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

series271.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (fma (/ x y) (- z t) t))
32.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	117	320
1	282	290
2	1045	260
3	5001	255

prune158.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	52	8	60

Merged error: 3.1b

Counts

60 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)

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

series120.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	91	248
2	268	212
3	1261	212
4	5002	212

prune200.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	52	8	60

Merged error: 3.1b

Counts

60 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)
3.1b	(fma (/ x y) (- z t) t)

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

series121.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	91	248
2	268	212
3	1261	212
4	5002	212

prune162.0ms

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: 3.1b

Counts

60 → 8

regimes186.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b 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

sample591.0ms

Algorithm

intervals

Results

302.0ms

10612×

body

valid