Details

sample169.0ms

Algorithm

intervals

Results

86.0ms	79×	body	1280	valid
35.0ms	54×	body	640	valid
11.0ms	25×	body	320	valid
11.0ms	82×	body	80	valid
5.0ms	16×	body	160	valid

simplify51.0ms

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

Filtered

1 candidates to 0 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 → 1

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))
2.0b	(- (cos x) (cos y))

rewrite41.0ms

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:

18.0ms	(* (* (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))

series284.0ms

Counts

4 → 10

Calls

4 calls:

136.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (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

prune570.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	12	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	12	105

Merged error: 0.3b

Counts

105 → 12

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.5b	(+ (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

11.0ms	(* (sqrt 2.0) (- (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)))

series207.0ms

Counts

4 → 10

Calls

4 calls:

91.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
39.0ms	(+ (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))
76.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	457	637
1	1591	569
2	5001	564

prune510.0ms

Filtered

86 candidates to 62 candidates (72.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	86	12	98

Merged error: 0.2b

Counts

98 → 12

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

series72.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(- 3.0 (sqrt 5.0))
72.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	247	345
1	763	299
2	2484	287
3	5001	287

prune469.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Merged error: 0.2b

Counts

72 → 11

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.0b	(- (cos x) (cos y))
3.3b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

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

series293.0ms

Counts

4 → 10

Calls

4 calls:

94.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
59.0ms	(- (cos x) (cos y))
140.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	422	818
1	1443	744
2	5001	743

prune432.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	88	12	100

Merged error: 0.2b

Counts

100 → 12

regimes210.0ms

Accuracy

0% (0.2b 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	46	40
1	46	40

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.9s	2746×	body	1280	valid
1.2s	1803×	body	640	valid
384.0ms	781×	body	320	valid
344.0ms	2337×	body	80	valid
107.0ms	333×	body	160	valid