Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

441×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	18	5
1	46	4
2	77	4
3	87	3
4	87	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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(+ (* x x) (* (* x 2.0) y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
64×	`associate-l`
48×	`distribute-lft-out`
29×	`fma-def`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`associate-r`
4×	`sum-log`
3×	`+-commutative` `swap-sqr` `*-commutative`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`unswap-sqr`

Counts

2 → 83

Calls

2 calls:

38.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
24.0ms	(+ (* x x) (* (* x 2.0) y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
47.0ms	(+ (* x x) (* (* x 2.0) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	223	357
1	1060	298
2	5001	257

prune123.0ms

Filtered

89 candidates to 52 candidates (58.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Merged error: 0.0b

Counts

90 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (fma 2.0 x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

4.0ms

(* (fma 2.0 x y) y)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* (fma 2.0 x y) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	78	86
1	270	70
2	1753	70
3	5002	70

prune31.0ms

Filtered

23 candidates to 15 candidates (65.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Merged error: 0.0b

Counts

25 → 2

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample610.0ms

Algorithm

intervals

Results

390.0ms

14000×

body

valid