Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	260×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 19.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite16.0ms

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:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
105.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

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

prune131.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 19.0b

Counts

50 → 5

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))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

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:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify95.0ms

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

prune236.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	68	5	73

Merged error: 19.0b

Counts

73 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
200.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
197.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify101.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	258	638
1	812	584
2	3241	560
3	5001	557

prune315.0ms

Filtered

66 candidates to 56 candidates (84.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	66	5	71

Merged error: 19.0b

Counts

71 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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:

5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
102.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
196.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	213	679
1	618	630
2	2098	612
3	5002	608

prune354.0ms

Filtered

70 candidates to 61 candidates (87.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 19.0b

Counts

75 → 5

regimes183.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.9b 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

sample968.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
286.0ms	8171×	body	80	nan