Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

290×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	2
1	24	2
2	35	2
3	45	2
4	70	2
5	151	2
6	234	2
7	254	2
8	333	2
9	573	2
10	1717	2
11	5001	2

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`*-un-lft-identity`
3×	`fma-def` `sum-log`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 19

Calls

1 calls:

15.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	101	89
1	329	77
2	1488	75
3	5001	74

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

36.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
63.0ms	(cbrt (+ (* x y) x))
62.0ms	(cbrt (+ (* x y) x))
82.0ms	(cbrt (+ (* x y) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	359	1056
1	1342	995
2	5001	918

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
34×	`sqrt-prod`
33×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
15×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `hypot-def`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

17.0ms	(+ (+ (* x y) x) y)
18.0ms	(sqrt (+ (+ (* x y) x) y))
18.0ms	(sqrt (+ (+ (* x y) x) y))
75.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ (* x y) x) y)
60.0ms	(sqrt (+ (+ (* x y) x) y))
55.0ms	(sqrt (+ (+ (* x y) x) y))
15.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	248	824
1	926	729
2	5002	703

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y))))
0.2b	(* (* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y)))) (sqrt (+ (+ (* x y) x) y)))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
17×	`associate-r`
14×	`sqrt-div`
13×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 95

Calls

4 calls:

39.0ms	(* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y))))
75.0ms	(* (* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y)))) (sqrt (+ (+ (* x y) x) y)))
8.0ms	(cbrt (+ (+ (* x y) x) y))
9.0ms	(cbrt (+ (+ (* x y) x) y))

series280.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y))))
91.0ms	(* (* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y)))) (sqrt (+ (+ (* x y) x) y)))
61.0ms	(cbrt (+ (+ (* x y) x) y))
61.0ms	(cbrt (+ (+ (* x y) x) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	733	1810
1	2796	1659
2	5001	1639

prune343.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample289.0ms

Algorithm

intervals

Results

153.0ms	9136×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid