Details

sample48.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	248×	body	80	nan

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize10.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (* x y) (* x z))
20.1b	(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:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
2.0ms	(+ (* x y) (* x z))
16.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (* x y) (* x z))
105.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

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

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.2b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* x z))
1.4b	(+ (* x y) (* x z))
20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite34.0ms

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:

2.0ms	(+ (* x y) (* x z))
2.0ms	(+ (* x y) (* x z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x y) (* x z))
37.0ms	(+ (* x y) (* x z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (26.0ms)

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

prune243.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.2b

localize23.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* x z))
20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite30.0ms

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:

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

series550.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* x z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
203.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
203.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (85.0ms)

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

prune335.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 21.2b

localize20.0ms

Local error

Found 4 expressions with local error:

20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
205.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
211.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
209.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	213	692
1	618	641
2	2098	611
3	5002	607

prune349.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 21.2b

regimes334.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

566.0ms	8000×	body	80	valid
535.0ms	8158×	body	80	nan