Details

sample29.0ms

Algorithm

intervals

Results

6.0ms	210×	body	80	valid
5.0ms	31×	body	640	valid
4.0ms	32×	body	1280	valid
1.0ms	9×	body	2560	valid
1.0ms	18×	body	320	valid
1.0ms	13×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (20.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 0)

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) 0)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma y (- x z) 0)

simplify85.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	246	39
3	1474	39
4	5002	39

prune25.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
11.3b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

1241×	`*-un-lft-identity`
768×	`prod-diff`
581×	`add-sqr-sqrt`
551×	`associate-l`
530×	`associate-r`
399×	`distribute-lft-out--`
340×	`distribute-lft-out`
332×	`distribute-rgt-out`
315×	`add-cube-cbrt`
287×	`*-commutative`
212×	`associate--l+`
76×	`unswap-sqr`
73×	`swap-sqr`
41×	`fma-neg`
39×	`difference-of-squares`
16×	`add-log-exp`
7×	`diff-log`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`associate--l-`

Counts

2 → 912

Calls

2 calls:

36.0ms	(- (+ (* x y) (* y y)) (* y z))
75.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series68.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (+ (* x y) (* y y)) (* y z))
40.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify220.0ms

Algorithm

egg-herbie

Counts

918 → 918

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	1011	12386
1	2961	7596
2	5001	7386

prune464.0ms

Filtered

918 candidates to 181 candidates (19.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	917	1	918
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	918	3	921

Merged error: 0b

Counts

921 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y (+ (* x 1) (* y 1)) (- (* z y)))
11.3b	(- (fma y (+ (* x 1) (* y 1)) (- (* z y))) (* y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
10×	`swap-sqr` `associate-l`
9×	`associate-r`
5×	`difference-of-squares`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 80

Calls

2 calls:

1.0ms	(fma y (+ (* x 1) (* y 1)) (- (* z y)))
9.0ms	(- (fma y (+ (* x 1) (* y 1)) (- (* z y))) (* y y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma y (+ (* x 1) (* y 1)) (- (* z y)))
76.0ms	(- (fma y (+ (* x 1) (* y 1)) (- (* z y))) (* y y))

simplify64.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	340	1523
1	1130	1063
2	5001	936

prune81.0ms

Filtered

86 candidates to 33 candidates (38.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (- x z) 0)
0.2b	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
1.8b	(sqrt (fma y (- x z) 0))
1.8b	(sqrt (fma y (- x z) 0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma y (- x z) 0)
6.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
1.0ms	(sqrt (fma y (- x z) 0))
1.0ms	(sqrt (fma y (- x z) 0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma y (- x z) 0)
41.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
57.0ms	(sqrt (fma y (- x z) 0))
62.0ms	(sqrt (fma y (- x z) 0))

simplify171.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (162.0ms)

Iter	Nodes	Cost
0	167	465
1	606	407
2	3334	383
3	5001	372

prune137.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes48.0ms

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	6	2

end0.0ms

sample730.0ms

Algorithm

intervals

Results

200.0ms	7029×	body	80	valid
116.0ms	895×	body	1280	valid
105.0ms	953×	body	640	valid
52.0ms	611×	body	320	valid
34.0ms	201×	body	2560	valid
18.0ms	345×	body	160	valid