Details

sample61.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
21.0ms	263×	body	80	nan

simplify9.0ms

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: 20.5b

localize10.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (* x y) (* x z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

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:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
2.0ms	(+ (* x y) (* x z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (* x y) (* x z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (30.0ms)

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

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.4b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x y) (* x z))
1.0b	(+ (* x y) (* x z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite32.0ms

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:

3.0ms	(+ (* x y) (* x z))
2.0ms	(+ (* x y) (* x z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x y) (* x z))
32.0ms	(+ (* x y) (* x z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (24.0ms)

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

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.4b

localize20.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (+ (* x y) (* x z)))
15.0b	(cbrt (+ (* x y) (* x z)))
19.4b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
60.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (+ (* x y) (* x z)))
114.0ms	(cbrt (+ (* x y) (* x z)))
114.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify109.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	329	831
1	982	552
2	3380	534
3	5001	530

prune324.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 20.4b

localize18.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	141	668
1	472	620
2	1729	608
3	5002	596

prune297.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 20.4b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b and baseline of 19.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

724.0ms	8000×	body	80	valid
676.0ms	8114×	body	80	nan