Details

sample45.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	226×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite26.0ms

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:

2.0ms	(+ (* x y) (* x z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* x y) (* x z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify111.0ms

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

prune400.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.7b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite48.0ms

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:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
9.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
22.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (21.0ms)

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

prune743.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.7b

localize21.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

75.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	359	2154
1	863	2082
2	3042	2037
3	5001	1939

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.7b

localize21.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

10.0ms	(+ (+ (* x y) (* x z)) (* y z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify98.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	258	585
1	812	527
2	3241	509
3	5001	507

prune734.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.7b

regimes752.0ms

Accuracy

0% (0.1b remaining)

Error of 19.5b against oracle of 19.5b and baseline of 19.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

499.0ms	8189×	body	80	nan
483.0ms	8000×	body	80	valid