Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

481×

body

valid

simplify274.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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))

rewrite151.0ms

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:

8.0ms	(+ (* x x) (* y y))
30.0ms	(+ (+ (* x x) (* y y)) (* y y))
111.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series91.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* x x) (* y y))
34.0ms	(+ (+ (* x x) (* y y)) (* y y))
32.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify127.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (122.0ms)

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

prune100.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* y (+ y y)))
0.1b	(+ (+ (pow x 2) (* y (+ y y))) (* y y))

rewrite65.0ms

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:

12.0ms	(+ (pow x 2) (* y (+ y y)))
52.0ms	(+ (+ (pow x 2) (* y (+ y y))) (* y y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (pow x 2) (* y (+ y y)))
34.0ms	(+ (+ (pow x 2) (* y (+ y y))) (* y y))

simplify119.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	176	234
1	797	216
2	3779	208
3	5001	204

prune71.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* (* 3 y) y))
0.1b	(* (* 3 y) y)

rewrite30.0ms

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:

12.0ms	(+ (pow x 2) (* (* 3 y) y))
17.0ms	(* (* 3 y) y)

series56.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (pow x 2) (* (* 3 y) y))
22.0ms	(* (* 3 y) y)

simplify136.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	164	157
1	801	141
2	4166	138
3	5001	137

prune62.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
0.2b	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
6.5b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
6.5b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite253.0ms

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-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

52.0ms	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
137.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
29.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
31.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
37.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
45.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
49.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	244	1203
1	1165	1041
2	5001	979

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes69.0ms

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	4
1	11	4

end0.0ms

sample582.0ms

Algorithm

intervals

Results

295.0ms

14189×

body

valid