Details

analyze423.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	65×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 21.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
20.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

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)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
36.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify26.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5275	577

prune71.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

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: 21.1b

Counts

50 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x y) (* z (+ x y)))
1.2b	(+ (* x y) (* z (+ x y)))
20.0b	(sqrt (+ (* x y) (* z (+ x y))))
20.0b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite16.0ms

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` `associate-+r+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x y) (* z (+ x y)))
7.0ms	(+ (* x y) (* z (+ x y)))
33.0ms	(sqrt (+ (* x y) (* z (+ x y))))
36.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify25.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5491	916

prune82.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 21.1b

Counts

73 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x y) (* z (+ x y)))
1.2b	(+ (* x y) (* z (+ x y)))
20.6b	(cbrt (+ (* x y) (* z (+ x y))))
20.6b	(cbrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(cbrt (+ (* x y) (* z (+ x y))))
3.0ms	(cbrt (+ (* x y) (* z (+ x y))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x y) (* z (+ x y)))
7.0ms	(+ (* x y) (* z (+ x y)))
58.0ms	(cbrt (+ (* x y) (* z (+ x y))))
61.0ms	(cbrt (+ (* x y) (* z (+ x y))))

simplify25.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4992	870
1	4992	870

prune88.0ms

Filtered

54 candidates to 64 candidates (-18.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	6	69

Merged error: 21.1b

Counts

69 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x y) (* z (+ x y)))
1.2b	(+ (* x y) (* z (+ x y)))
20.6b	(cbrt (+ (* x y) (* z (+ x y))))
23.5b	(pow (+ (* x y) (* z (+ x y))) 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`associate-+r+` `add-cbrt-cube`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `flip3-+` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `cbrt-div` `distribute-lft-in` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

4.0ms	(+ (* x y) (* z (+ x y)))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(cbrt (+ (* x y) (* z (+ x y))))
4.0ms	(pow (+ (* x y) (* z (+ x y))) 1/3)

series136.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x y) (* z (+ x y)))
7.0ms	(+ (* x y) (* z (+ x y)))
60.0ms	(cbrt (+ (* x y) (* z (+ x y))))
61.0ms	(pow (+ (* x y) (* z (+ x y))) 1/3)

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5046	819

prune93.0ms

Filtered

53 candidates to 69 candidates (-30.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	69	6	75

Merged error: 21.1b

Counts

75 → 6

regimes342.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.8b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

analyze417.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample649.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
97.0ms	2372×	body	80	nan

Details

analyze423.0ms

sample23.0ms

simplify3.0ms

prune7.0ms

localize9.0ms

rewrite15.0ms

series50.0ms

simplify26.0ms

prune71.0ms

localize10.0ms

rewrite16.0ms

series84.0ms

simplify25.0ms

prune82.0ms

localize11.0ms

rewrite15.0ms

series135.0ms

simplify25.0ms

prune88.0ms

localize17.0ms

rewrite17.0ms

series136.0ms

simplify43.0ms

prune93.0ms

regimes342.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze417.0ms

sample649.0ms

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