Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

287×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

31.0ms	(+ (+ (* x y) x) y)
8.0ms	(+ (* x y) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
37.0ms	(+ (* x y) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.1b	(* (+ (* x y) x) (+ (* x y) x))
2.6b	(- (* (+ (* x y) x) (+ (* x y) x)) (* y y))
24.9b	(/ (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
5×	`associate-/r*` `distribute-lft-out--`
4×	`frac-times` `associate-/l*`
3×	`flip3--` `swap-sqr` `associate-r` `associate-l` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

7.0ms	(+ (* x y) x)
44.0ms	(* (+ (* x y) x) (+ (* x y) x))
30.0ms	(- (* (+ (* x y) x) (+ (* x y) x)) (* y y))
94.0ms	(/ (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y))

series185.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x y) x)
34.0ms	(* (+ (* x y) x) (+ (* x y) x))
48.0ms	(- (* (+ (* x y) x) (+ (* x y) x)) (* y y))
72.0ms	(/ (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y))

simplify79.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	474	1297
1	2416	1159
2	5002	1125

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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:

25.0ms	(+ (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) y)
9.0ms	(sqrt (+ (* x y) x))
9.0ms	(sqrt (+ (* x y) x))
52.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) y)
41.0ms	(sqrt (+ (* x y) x))
47.0ms	(sqrt (+ (* x y) x))
31.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	267	705
1	994	615
2	5002	585

prune173.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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	8	3
1	8	3

end0.0ms

sample334.0ms

Algorithm

intervals

Results

151.0ms	9106×	body	80	valid
0.0ms	2×	body	1280	valid