Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 1.4b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

1.4b	(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)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

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

prune34.0ms

Filtered

13 candidates to 9 candidates (69.2%)

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: 1.4b

Counts

15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ x y) (- z t) t))
1.4b	(fma (/ x y) (- z t) t)
1.4b	(fma (/ x y) (- z t) t)
1.4b	(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)

series263.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma (/ x y) (- z t) t))
27.0ms	(fma (/ x y) (- z t) t)
30.0ms	(fma (/ x y) (- z t) t)
27.0ms	(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

prune182.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	50	9	59

Merged error: 1.3b

Counts

59 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

1.4b	(fma (/ x y) (- z t) t)
1.4b	(fma (/ x y) (- z t) t)
1.4b	(fma (/ x y) (- z t) t)
1.4b	(fma (/ x y) (- z t) t)

rewrite3.0ms

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)

series109.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma (/ x y) (- z t) t)
26.0ms	(fma (/ x y) (- z t) t)
29.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

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

prune156.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	51	10	61

Merged error: 1.3b

Counts

61 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(fma (/ x y) (- z t) t)
1.4b	(fma (/ x y) (- z t) t)
1.4b	(fma (/ x y) (- z t) t)
1.4b	(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)

series109.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)
29.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

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

prune154.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	52	10	62

Merged error: 1.3b

Counts

62 → 10

regimes210.0ms

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

sample615.0ms

Algorithm

intervals

Results

338.0ms

10720×

body

valid

Details

sample24.0ms

simplify112.0ms

prune7.0ms

localize7.0ms

rewrite1.0ms

series29.0ms

simplify45.0ms

prune34.0ms

localize10.0ms

rewrite4.0ms

series263.0ms

simplify36.0ms

prune182.0ms

localize13.0ms

rewrite3.0ms

series109.0ms

simplify40.0ms

prune156.0ms

localize16.0ms

rewrite4.0ms

series109.0ms

simplify41.0ms

prune154.0ms

regimes210.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample615.0ms

Profiling