Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

497×

body

valid

simplify271.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

29.0ms	(+ (+ (* x x) (* y y)) (* y y))
113.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify106.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	166	282
1	781	246
2	3541	225
3	5001	214

prune71.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

32.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	264	268
1	1301	209
2	5002	176

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 3 y) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

18.0ms

(* (* 3 y) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* 3 y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	95	68
1	465	57
2	2244	54
3	5001	53

prune31.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (* x x) (* y y)) (* y (+ y y)))
0.2b	(* (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))))
8.3b	(sqrt (+ (+ (* x x) (* y y)) (* y (+ y y))))
8.3b	(sqrt (+ (+ (* x x) (* y y)) (* y (+ y y))))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

31.0ms	(+ (+ (* x x) (* y y)) (* y (+ y y)))
150.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))))
31.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y (+ y y))))
35.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y (+ y y))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (* x x) (* y y)) (* y (+ y y)))
39.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))))
46.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y (+ y y))))
51.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y (+ y y))))

simplify103.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	443	3898
1	1906	3322
2	5002	3276

prune348.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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	10	4
1	10	4

end0.0ms

sample586.0ms

Algorithm

intervals

Results

305.0ms

14127×

body

valid