Details

analyze756.0ms

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

sample203.0ms

Algorithm

intervals

Results

119.0ms	92×	body	1280	valid
39.0ms	44×	body	640	valid
15.0ms	83×	body	80	valid
13.0ms	23×	body	320	valid
5.0ms	14×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4955	50
1	4955	50

prune16.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize37.0ms

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))
2.2b	(- (cos x) (cos y))

rewrite39.0ms

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×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 88

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))

series49.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify40.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5070	1524

prune288.0ms

Filtered

72 candidates to 98 candidates (-36.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Merged error: 0.3b

Counts

100 → 6

localize35.0ms

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)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.2b	(- (cos x) (cos y))

rewrite49.0ms

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×	`frac-times` `unswap-sqr`
3×	`associate-l/` `-commutative`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 115

Calls

4 calls:

10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
18.0ms	(* (* (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)))
4.0ms	(- (cos x) (cos y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
26.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify35.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5019	1862

prune439.0ms

Filtered

92 candidates to 127 candidates (-38.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	6	127
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	123	10	133

Merged error: 0.2b

Counts

133 → 10

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.1b	(cbrt (pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3))
1.2b	(pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3)
2.2b	(- (cos x) (cos y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-cube-cbrt`
8×	`cbrt-prod`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`associate-*r/` `sqrt-prod`
3×	`sub-neg` `pow-unpow` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares`
2×	`cube-div` `cube-mult` `unpow-prod-down` `flip3--` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `flip--` `distribute-lft-out--` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `cbrt-div` `distribute-lft-in` `times-frac` `pow1/3` `diff-log` `div-exp` `*-commutative` `rem-cbrt-cube` `diff-cos`

Counts

4 → 86

Calls

4 calls:

11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(cbrt (pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3))
9.0ms	(pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3)
5.0ms	(- (cos x) (cos y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(cbrt (pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3))
16.0ms	(pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3)
9.0ms	(- (cos x) (cos y))

simplify30.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5190	1166

prune337.0ms

Filtered

67 candidates to 98 candidates (-46.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	98	10	108

Merged error: 0.2b

Counts

108 → 10

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.1b	(cbrt (pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3))
1.2b	(pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3)
2.2b	(- (cos x) (cos y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod` `add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-cube-cbrt`
6×	`add-log-exp`
3×	`pow-unpow` `cbrt-div` `pow-exp` `rem-cube-cbrt` `difference-of-squares`
2×	`cube-div` `cube-mult` `unpow-prod-down` `flip3--` `pow-pow` `pow1/3` `unpow3` `cube-prod` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `times-frac` `diff-log` `div-exp` `pow-prod-down` `rem-cbrt-cube` `diff-cos`

Counts

4 → 73

Calls

4 calls:

6.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
2.0ms	(cbrt (pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3))
11.0ms	(pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3)
5.0ms	(- (cos x) (cos y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
6.0ms	(cbrt (pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3))
15.0ms	(pow (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) 3)
9.0ms	(- (cos x) (cos y))

simplify26.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5116	1062

prune318.0ms

Filtered

63 candidates to 85 candidates (-34.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	84	11	95

Merged error: 0.1b

Counts

95 → 11

regimes214.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	110	81
1	110	81

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.5s	2701×	body	1280	valid
1.6s	1882×	body	640	valid
446.0ms	2341×	body	80	valid
434.0ms	731×	body	320	valid
140.0ms	345×	body	160	valid

Details

analyze756.0ms

sample203.0ms

simplify20.0ms

prune16.0ms

localize37.0ms

rewrite39.0ms

series49.0ms

simplify40.0ms

prune288.0ms

localize35.0ms

rewrite49.0ms

series54.0ms

simplify35.0ms

prune439.0ms

localize40.0ms

rewrite31.0ms

series45.0ms

simplify30.0ms

prune337.0ms

localize43.0ms

rewrite26.0ms

series54.0ms

simplify26.0ms

prune318.0ms

regimes214.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.3s

Profiling