Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

480×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite15.0ms

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:

12.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
3.0ms	(+ (* x x) (* (* x 2.0) y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
39.0ms	(+ (* x x) (* (* x 2.0) y))

simplify154.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (28.0ms)

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

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* y (+ (* x 2.0) y)))
0.0b	(* y (+ (* x 2.0) y))

rewrite18.0ms

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-+r+` `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	(+ (pow x 2) (* y (+ (* x 2.0) y)))
11.0ms	(* y (+ (* x 2.0) y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))
39.0ms	(* y (+ (* x 2.0) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	216	231
1	1074	212
2	5002	212

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

5.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
10.0ms	(* x (+ (* 2.0 y) x))

series59.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
37.0ms	(* x (+ (* 2.0 y) x))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	225	237
1	1110	217
2	5001	217

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* 2.0 y) x))
0.0b	(* x (+ (* 2.0 y) x))
4.9b	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))
4.9b	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `sqrt-prod`
4×	`flip3-+` `sqrt-div` `associate-*r/` `flip-+` `add-log-exp`
2×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

11.0ms	(* x (+ (* 2.0 y) x))
12.0ms	(* x (+ (* 2.0 y) x))
8.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))
8.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (+ (* 2.0 y) x))
37.0ms	(* x (+ (* 2.0 y) x))
57.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))
54.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	221	514
1	947	492
2	4803	490
3	5002	490

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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	13	5
1	13	5

end0.0ms

sample591.0ms

Algorithm

intervals

Results

377.0ms

14396×

body

valid