Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	296×	body	80	nan
8.0ms	256×	body	80	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize9.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (* x y) (* x z))
19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite30.0ms

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:

14.0ms	(+ (+ (* x y) (* x z)) (* y z))
2.0ms	(+ (* x y) (* x z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (* x y) (* x z))
102.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify114.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	356
1	908	323
2	3660	315
3	5001	315

prune128.0ms

Filtered

49 candidates to 38 candidates (77.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* x z))
1.4b	(+ (* x y) (* x z))
19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

4.0ms	(+ (* x y) (* x z))
2.0ms	(+ (* x y) (* x z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* x z))
30.0ms	(+ (* x y) (* x z))
102.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	212	468
1	733	434
2	2574	424
3	5001	424

prune227.0ms

Filtered

66 candidates to 52 candidates (78.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 20.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* x z))
19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

5.0ms	(+ (* x y) (* x z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x y) (* x z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
201.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
202.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	284	584
1	878	541
2	2942	518
3	5001	515

prune304.0ms

Filtered

65 candidates to 57 candidates (87.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 20.0b

localize23.0ms

Local error

Found 4 expressions with local error:

19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite48.0ms

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:

12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
103.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
201.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (59.0ms)

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

prune323.0ms

Filtered

70 candidates to 58 candidates (82.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 20.0b

regimes194.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.6b and baseline of 19.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample849.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
259.0ms	8067×	body	80	nan