Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

441×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune5.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+ (* x x) (* (* x 2.0) y))
6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x x) (* (* x 2.0) y))
28.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify160.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196

prune54.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(* x (+ (* 2.0 y) x))
7.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (+ (* 2.0 y) x))
22.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	237
1	1110	217
2	5002	217

prune60.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+ (* x (* 2.0 y)) (+ (* x x) (* y y)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* x (* 2.0 y)) (+ (* x x) (* y y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	136	147
1	590	130
2	3268	125
3	5002	125

prune26.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Merged error: 0b

Counts

20 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(* y (+ (* x 2.0) y))
7.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series62.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (+ (* x 2.0) y))
23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune52.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	41	4	45

Merged error: 0b

Counts

45 → 4

regimes30.0ms

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	12	5
1	12	5

end0.0ms

sample710.0ms

Algorithm

intervals

Results

483.0ms

14177×

body

valid