Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

469×

body

valid

simplify266.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3197	4
12	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x x) (* y y))
5.0ms	(+ (+ (* x x) (* y y)) (* y y))
8.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series111.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x x) (* y y))
43.0ms	(+ (+ (* x x) (* y y)) (* y y))
40.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify123.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	218	352
1	1048	312
2	4094	291
3	5002	280

prune101.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y (+ y y)))
0.1b	(+ (+ (* x x) (* y (+ y 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` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

2 → 26

Calls

2 calls:

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

series74.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x x) (* y (+ y y)))
38.0ms	(+ (+ (* x x) (* y (+ y y))) (* y y))

simplify119.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	185	237
1	870	218
2	3936	207
3	5002	204

prune69.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y (+ y y)))
0.1b	(+ (* y y) (+ (* x x) (* y (+ y y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

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

series71.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x x) (* y (+ y y)))
35.0ms	(+ (* y y) (+ (* x x) (* y (+ y y))))

simplify123.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	187	235
1	914	219
2	3735	217
3	5001	217

prune67.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x x) (* (* 3 y) y))
5.0ms	(* (* 3 y) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x x) (* (* 3 y) y))
24.0ms	(* (* 3 y) y)

simplify134.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	173	161
1	862	143
2	4332	138
3	5002	137

prune53.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

end0.0ms

sample541.0ms

Algorithm

intervals

Results

317.0ms

14239×

body

valid