Details

analyze454.0ms

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

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	69×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune3.0ms

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: 20.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(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:

3.0ms	(+ (* x y) (* x z))
5.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify120.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	256	358
1	972	331
2	3980	326
3	5002	326

prune77.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Merged error: 20.2b

Counts

50 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
0.8b	(+ (* x y) (* z (+ x y)))
19.2b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

6.0ms	(* z (+ x y))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series47.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* z (+ x y))
7.0ms	(+ (* x y) (* z (+ x y)))
34.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	280	331
1	1194	312
2	5001	311

prune85.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 20.2b

Counts

64 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (+ (* x y) (* x z)) (* y z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

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))
7.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	193	582
1	729	538
2	3189	532
3	5003	532

prune100.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Merged error: 20.2b

Counts

74 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.8b	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
19.2b	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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

series114.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
12.0ms	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
39.0ms	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

simplify145.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	317	722
1	1010	644
2	4849	611
3	5002	602

prune86.0ms

Filtered

54 candidates to 66 candidates (-22.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	63	9	72

Merged error: 20.2b

Counts

72 → 9

regimes460.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.5b and baseline of 19.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

analyze472.0ms

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

sample784.0ms

Algorithm

intervals

Results

423.0ms	8000×	body	80	valid
119.0ms	2323×	body	80	nan

Details

analyze454.0ms

sample27.0ms

simplify8.0ms

prune3.0ms

localize10.0ms

rewrite15.0ms

series44.0ms

simplify120.0ms

prune77.0ms

localize8.0ms

rewrite14.0ms

series47.0ms

simplify40.0ms

prune85.0ms

localize12.0ms

rewrite25.0ms

series80.0ms

simplify102.0ms

prune100.0ms

localize12.0ms

rewrite14.0ms

series114.0ms

simplify145.0ms

prune86.0ms

regimes460.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze472.0ms

sample784.0ms

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