Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ y t) (- z x) 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 t) (- z x) x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y t) (- z x) x))
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) 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 t) (- z x) x))
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series248.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (fma (/ y t) (- z x) x))
26.0ms	(fma (/ y t) (- z x) x)
28.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune134.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

rewrite6.0ms

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	276
1	93	248
2	270	212
3	1300	212
4	5001	212

prune154.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

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

series110.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	276
1	93	248
2	270	212
3	1300	212
4	5001	212

prune146.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

regimes146.0ms

Accuracy

12.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample521.0ms

Algorithm

intervals

Results

268.0ms

10631×

body

valid