Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

389×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	30	3
2	86	3
3	290	3
4	803	3
5	1451	3
6	3457	3
7	5001	3

prune6.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- t x) (- y z) 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 (- t x) (- y z) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	49	63
1	114	55
2	346	55
3	1570	54
4	5003	54

prune34.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t z (* x y))
0.0b	(fma x z (- (fma t z (* x y))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma t z (* x y))
43.0ms	(fma x z (- (fma t z (* x y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	43	110
1	112	96
2	393	96
3	1847	96
4	5001	96

prune63.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- t x) (- y z) x)
0.2b	(pow (fma (- t x) (- y z) x) 3)
38.5b	(cbrt (pow (fma (- t x) (- y z) x) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

1.0ms	(fma (- t x) (- y z) x)
2.0ms	(pow (fma (- t x) (- y z) x) 3)
2.0ms	(cbrt (pow (fma (- t x) (- y z) x) 3))

series971.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma (- t x) (- y z) x)
868.0ms	(pow (fma (- t x) (- y z) x) 3)
52.0ms	(cbrt (pow (fma (- t x) (- y z) x) 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	184	389
1	740	366
2	5001	360

prune129.0ms

Filtered

67 candidates to 41 candidates (61.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

4.0ms

(- x (* x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- x (* x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	89	96
1	288	84
2	1343	83
3	5001	69

prune44.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	23	4	27

Merged error: 0b

Counts

27 → 4

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample655.0ms

Algorithm

intervals

Results

346.0ms

12232×

body

valid