Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	266×	body	80	nan
7.0ms	256×	body	80	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.3b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

28.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
28.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 19.3b

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`sum-log` `sqrt-prod`
2×	`pow1/3` `sqrt-div`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

28.0ms	(+ (+ (* x y) (* x z)) (* y z))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ (* x y) (* x z)) (* y z))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
218.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	258	638
1	812	584
2	3241	560
3	5002	558

prune306.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 19.3b

localize22.0ms

Local error

Found 4 expressions with local error:

18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
28.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
219.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	213	676
1	618	627
2	2098	609
3	5002	605

prune331.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 19.3b

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.8b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample895.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
237.0ms	8086×	body	80	nan