Details

sample44.0ms

Algorithm

intervals

Results

34.0ms

449×

body

valid

simplify9.0ms

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

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	(+ (+ (* 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))

series67.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
44.0ms	(+ (* x x) (* (* x 2.0) y))

simplify161.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (31.0ms)

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

prune71.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

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))

rewrite16.0ms

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:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (+ (* 2.0 y) x))
23.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (9.0ms)

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

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (* 2.0 y) x)) (* y y))
0.0b	(* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))
5.8b	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))
5.8b	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
38.0ms	(* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))
11.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))
7.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
30.0ms	(* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))
56.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))
62.0ms	(sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	227	1076
1	982	984
2	5001	952

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

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-+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:

10.0ms	(* y (+ (* x 2.0) y))
6.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* y (+ (* x 2.0) y))
27.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	216	231
1	1074	212
2	5001	212

prune78.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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

sample1.3s

Algorithm

intervals

Results

1.1s

14106×

body

valid