Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	306×	body	80	nan
12.0ms	256×	body	80	valid

simplify11.0ms

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

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: 17.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

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

series169.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

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

prune112.0ms

Filtered

49 candidates to 38 candidates (77.6%)

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: 17.3b

Counts

50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.4b	(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)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify93.0ms

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

prune199.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	67	6	73

Merged error: 17.3b

Counts

73 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

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:

10.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
208.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
210.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (96.0ms)

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

prune301.0ms

Filtered

66 candidates to 56 candidates (84.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	63	9	72

Merged error: 17.3b

Counts

72 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series452.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
202.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
209.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	197	594
1	625	540
2	2618	516
3	5001	514

prune192.0ms

Filtered

64 candidates to 52 candidates (81.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	64	9	73

Merged error: 17.3b

Counts

73 → 9

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

372.0ms	8000×	body	80	valid
351.0ms	8068×	body	80	nan