Details

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

126.0ms	96×	body	1280	valid
45.0ms	54×	body	640	valid
14.0ms	75×	body	80	valid
10.0ms	17×	body	320	valid
10.0ms	14×	body	160	valid

simplify62.0ms

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

prune14.0ms

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: 0.5b

Counts

2 → 1

localize46.0ms

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)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.6b	(- (cos x) (cos y))

rewrite37.0ms

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:

16.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series46.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
11.0ms	(- (cos x) (cos y))

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (14.0ms)

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

prune301.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0.3b

Counts

105 → 7

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.6b	(- (cos x) (cos y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`associate-l`
21×	`times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1`
11×	`difference-of-squares`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `unswap-sqr`
3×	`associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 120

Calls

4 calls:

11.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
21.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
19.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
22.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	751	1321
1	3282	1206
2	5001	1206

prune436.0ms

Filtered

89 candidates to 132 candidates (-48.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	6	132
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	128	11	139

Merged error: 0.2b

Counts

139 → 11

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)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
2.6b	(- (cos x) (cos y))

rewrite25.0ms

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:

6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
8.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
23.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
23.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (45.0ms)

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

prune366.0ms

Filtered

61 candidates to 75 candidates (-23.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	74	12	86

Merged error: 0.1b

Counts

86 → 12

localize55.0ms

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)))
2.6b	(- (cos x) (cos y))
4.9b	(cbrt (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`cbrt-div`
7×	`add-cube-cbrt`
6×	`add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3` `frac-sub` `sin-mult` `distribute-lft-out--`
2×	`times-frac`
1×	`frac-times` `sub-neg` `diff-log` `associate-r/` `associate-l/` `diff-cos`

Counts

4 → 64

Calls

4 calls:

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

series88.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
26.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))
31.0ms	(cbrt (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))

simplify115.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	414	860
1	1141	810
2	4213	790
3	5001	790

prune357.0ms

Filtered

63 candidates to 76 candidates (-20.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	75	13	88

Merged error: 0.1b

Counts

88 → 13

regimes241.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	58
1	59	58

end0.0ms

sample9.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

3.7s	2801×	body	1280	valid
1.5s	1803×	body	640	valid
452.0ms	727×	body	320	valid
442.0ms	2324×	body	80	valid
141.0ms	345×	body	160	valid

Details

sample3.0s

simplify62.0ms

prune14.0ms

localize46.0ms

rewrite37.0ms

series46.0ms

simplify64.0ms

prune301.0ms

localize37.0ms

rewrite60.0ms

series50.0ms

simplify79.0ms

prune436.0ms

localize40.0ms

rewrite25.0ms

series79.0ms

simplify53.0ms

prune366.0ms

localize55.0ms

rewrite23.0ms

series88.0ms

simplify115.0ms

prune357.0ms

regimes241.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.2s

Profiling