Details

analyze304.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

sample52.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	247	9
1	247	9

prune11.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

6.0ms

(- (* x x) (* (* y 4.0) z))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (* x x) (* (* y 4.0) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4905	179
1	4905	179

prune30.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 4.0 z))
0.2b	(* y (* 4.0 z))
2.2b	(sqrt (- (* x x) (* y (* 4.0 z))))
2.2b	(sqrt (- (* x x) (* y (* 4.0 z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`sqrt-div` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `flip--`

Counts

4 → 66

Calls

4 calls:

4.0ms	(* y (* 4.0 z))
4.0ms	(* y (* 4.0 z))
4.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
6.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* y (* 4.0 z))
3.0ms	(* y (* 4.0 z))
13.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
14.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

simplify32.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5075	708

prune112.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.2b	(sqrt (- (* x x) (* y (* 4.0 z))))
2.2b	(sqrt (- (* x x) (* y (* 4.0 z))))
2.2b	(sqrt (- (* x x) (* y (* 4.0 z))))
2.2b	(sqrt (- (* x x) (* y (* 4.0 z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

4.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
4.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
6.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
4.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
13.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
13.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
14.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4963	932
1	4963	932

prune200.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	72	3	75

Merged error: 0.0b

Counts

75 → 3

regimes384.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	9
1	52	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

309.0ms

8000×

body

valid

Details

analyze304.0ms

sample52.0ms

simplify15.0ms

prune11.0ms

localize11.0ms

rewrite7.0ms

series14.0ms

simplify47.0ms

prune30.0ms

localize10.0ms

rewrite20.0ms

series34.0ms

simplify32.0ms

prune112.0ms

localize16.0ms

rewrite19.0ms

series53.0ms

simplify44.0ms

prune200.0ms

regimes384.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling