Details

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

102.0ms	76×	body	1280	valid
48.0ms	57×	body	640	valid
19.0ms	33×	body	320	valid
14.0ms	77×	body	80	valid
5.0ms	13×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune5.0ms

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: 0.4b

Counts

2 → 1

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 94

Calls

4 calls:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series50.0ms

Counts

4 → 10

Calls

4 calls:

23.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
18.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify68.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune303.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	10	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Merged error: 0.2b

Counts

105 → 10

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-log-exp`
7×	`difference-of-squares`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `times-frac` `pow1/3` `diff-log`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series62.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
28.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify58.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	306	596
1	686	562
2	1839	550
3	5002	544

prune320.0ms

Filtered

56 candidates to 72 candidates (-28.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Merged error: 0.2b

Counts

82 → 12

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.7b	(+ (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))
2.0b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`cbrt-prod`
5×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `add-exp-log` `cos-mult` `add-cbrt-cube`
3×	`flip3--` `flip--`
2×	`sub-neg` `sqr-cos` `cbrt-div` `diff-log` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `times-frac` `sum-cos` `pow1/3` `associate--l+` `sum-log` `sqrt-prod` `frac-sub` `flip-+` `distribute-lft-out` `associate--r+` `sub-div`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
4.0ms	(+ (cos x) (cos y))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

series45.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
7.0ms	(+ (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))
13.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify124.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	432	558
1	1237	499
2	4092	487
3	5002	487

prune315.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	70	13	83

Merged error: 0.2b

Counts

83 → 13

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.8b	(- (cos x) (cos y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`cbrt-prod`
15×	`*-un-lft-identity`
7×	`add-cube-cbrt` `difference-of-squares`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`times-frac` `pow1/3`
1×	`sub-neg` `diff-log` `diff-cos`

Counts

4 → 63

Calls

4 calls:

7.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))

series84.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
24.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
24.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
11.0ms	(- (cos x) (cos y))

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	246	718
1	565	678
2	1602	662
3	5001	653

prune281.0ms

Filtered

61 candidates to 75 candidates (-23.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	75	13	88

Merged error: 0.2b

Counts

88 → 13

regimes232.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	51
1	50	51

end0.0ms

sample12.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

3.6s	2751×	body	1280	valid
1.5s	1782×	body	640	valid
667.0ms	2338×	body	80	valid
473.0ms	777×	body	320	valid
136.0ms	352×	body	160	valid

Details

sample5.7s

simplify52.0ms

prune5.0ms

localize38.0ms

rewrite40.0ms

series50.0ms

simplify68.0ms

prune303.0ms

localize40.0ms

rewrite23.0ms

series62.0ms

simplify58.0ms

prune320.0ms

localize43.0ms

rewrite23.0ms

series45.0ms

simplify124.0ms

prune315.0ms

localize42.0ms

rewrite26.0ms

series84.0ms

simplify57.0ms

prune281.0ms

regimes232.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample12.2s

Profiling