Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
9.0ms	226×	body	80	nan

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

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: 23.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
22.0b	(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)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify115.0ms

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

prune126.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Merged error: 23.2b

Counts

50 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

19.9b	(cbrt (+ (* x y) (* x z)))
19.9b	(cbrt (+ (* x y) (* x z)))
19.9b	(cbrt (+ (* x y) (* x z)))
22.0b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`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` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
18.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (+ (* x y) (* x z)))
108.0ms	(cbrt (+ (* x y) (* x z)))
107.0ms	(cbrt (+ (* x y) (* x z)))
105.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	273	794
1	752	735
2	2412	714
3	5001	710

prune234.0ms

Filtered

69 candidates to 65 candidates (94.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Merged error: 23.2b

Counts

77 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
22.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
22.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
103.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
103.0ms	(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	578
1	666	522
2	2872	510
3	5001	510

prune207.0ms

Filtered

68 candidates to 54 candidates (79.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	67	9	76

Merged error: 23.2b

Counts

76 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
22.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
22.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

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

series530.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
198.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
199.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify101.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (94.0ms)

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

prune266.0ms

Filtered

66 candidates to 56 candidates (84.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	65	10	75

Merged error: 23.2b

Counts

75 → 10

regimes294.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
320.0ms	7797×	body	80	nan