Details

sample213.0ms

Algorithm

intervals

Results

115.0ms	86×	body	1280	valid
47.0ms	56×	body	640	valid
13.0ms	77×	body	80	valid
13.0ms	23×	body	320	valid
5.0ms	14×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

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

localize40.0ms

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))
2.3b	(- (cos x) (cos y))

rewrite45.0ms

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:

20.0ms	(* (* (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)))
5.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series54.0ms

Counts

4 → 10

Calls

4 calls:

25.0ms	(* (* (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)))
0.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

simplify76.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (17.0ms)

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

prune330.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Merged error: 0.3b

Counts

105 → 9

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.5b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(- (cos x) (cos y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `flip3--` `associate-*r/` `add-cbrt-cube` `flip--`
3×	`difference-of-squares`
2×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 52

Calls

4 calls:

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

series73.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
31.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	297	543
1	710	501
2	2044	489
3	5001	473

prune364.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	61	10	71

Merged error: 0.2b

Counts

71 → 10

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.5b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
2.0b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
18×	`difference-of-squares`
16×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
8×	`add-log-exp` `sqr-pow`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `flip3--` `associate-*r/` `add-cbrt-cube` `flip--`
2×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log`
1×	`difference-cubes` `sqrt-prod`

Counts

4 → 71

Calls

4 calls:

9.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
9.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
5.0ms	(- 3.0 (sqrt 5.0))
15.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series85.0ms

Counts

4 → 10

Calls

4 calls:

35.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
32.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
18.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify143.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	425	838
1	1168	792
2	4576	780
3	5001	780

prune436.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 0.2b

Counts

91 → 10

localize65.0ms

Local error

Found 4 expressions with local error:

1.0b	(- 3.0 (sqrt 5.0))
2.0b	(- (pow (cos x) 3) (pow (cos y) 3))
2.0b	(- (pow (cos x) 3) (pow (cos y) 3))
2.0b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
50×	`difference-of-squares`
36×	`unpow-prod-down` `*-un-lft-identity` `cube-prod`
24×	`sqr-pow`
16×	`distribute-lft-out--`
12×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`
3×	`difference-cubes`
1×	`sqrt-prod`

Counts

4 → 117

Calls

4 calls:

5.0ms	(- 3.0 (sqrt 5.0))
13.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
13.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
14.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series59.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(- 3.0 (sqrt 5.0))
22.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
18.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
18.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify112.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	222	1180
1	640	1142
2	2686	1138
3	5002	1138

prune729.0ms

Filtered

77 candidates to 127 candidates (-64.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	127	10	137

Merged error: 0.2b

Counts

137 → 10

regimes218.0ms

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	60	74
1	60	74

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.5s	2772×	body	1280	valid
1.5s	1848×	body	640	valid
450.0ms	757×	body	320	valid
408.0ms	2261×	body	80	valid
147.0ms	362×	body	160	valid

Details

sample213.0ms

simplify62.0ms

prune6.0ms

localize40.0ms

rewrite45.0ms

series54.0ms

simplify76.0ms

prune330.0ms

localize41.0ms

rewrite31.0ms

series73.0ms

simplify70.0ms

prune364.0ms

localize50.0ms

rewrite42.0ms

series85.0ms

simplify143.0ms

prune436.0ms

localize65.0ms

rewrite50.0ms

series59.0ms

simplify112.0ms

prune729.0ms

regimes218.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.4s

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