Details

analyze2.3s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample56.0ms

Algorithm

intervals

Results

31.0ms	249×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	4×	body	640	invalid
1.0ms	3×	body	640	valid
1.0ms	2×	body	1280	invalid
1.0ms	8×	body	80	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5355	28

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.6b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
0.0b	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
32.3b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-log-exp`
6×	`add-cube-cbrt` `unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow` `distribute-lft-out--` `difference-of-squares`
2×	`sub-neg` `diff-log` `sum-log` `distribute-lft-out`
1×	`+-commutative` `cos-diff` `pow-to-exp` `cos-sum` `flip3--` `pow-pow` `flip3-+` `times-frac` `pow-exp` `flip--` `flip-+` `associate--r+` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

13.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
17.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
7.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series136.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
40.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
41.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
21.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5026	1072

prune148.0ms

Filtered

54 candidates to 69 candidates (-27.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 1.4b

Counts

70 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
0.0b	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-log-exp`
6×	`unpow-prod-down`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`pow-unpow` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
2×	`diff-log` `sum-log` `distribute-lft-out`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `times-frac` `pow-exp` `flip--` `flip-+` `associate--r+` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

13.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
14.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
12.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series114.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
41.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
38.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify50.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4942	916
1	4942	916

prune108.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 1.4b

Counts

59 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fabs (- m n)) (log (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
0.0b	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
1.1b	(log (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
8×	`log-prod`
7×	`pow1` `add-log-exp`
6×	`unpow-prod-down` `log-pow`
5×	`add-exp-log`
4×	`exp-prod` `add-cbrt-cube` `associate--r+`
3×	`pow-unpow` `distribute-lft-out--` `difference-of-squares`
2×	`exp-sum` `distribute-lft-out`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `times-frac` `diff-log` `rem-log-exp` `pow-exp` `sum-log` `flip--` `flip-+` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

17.0ms	(- (fabs (- m n)) (log (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
13.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
16.0ms	(log (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (fabs (- m n)) (log (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
35.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
39.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
38.0ms	(log (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)))

simplify40.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4955	1204
1	4955	1204

prune161.0ms

Filtered

61 candidates to 79 candidates (-29.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	79	3	82

Merged error: 1.4b

Counts

82 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
1.2b	(log (cbrt (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
1.2b	(log (cbrt (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`log-prod`
12×	`add-cube-cbrt` `unpow-prod-down`
8×	`pow1` `add-exp-log` `cbrt-prod`
6×	`pow-unpow`
4×	`log-pow` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
2×	`pow-to-exp` `pow-pow` `times-frac` `pow1/3` `rem-log-exp` `exp-sum` `pow-exp` `distribute-lft-out--` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
12.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
15.0ms	(log (cbrt (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
14.0ms	(log (cbrt (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
40.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
89.0ms	(log (cbrt (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))
90.0ms	(log (cbrt (exp (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))))

simplify77.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4973	1276
1	4973	1276

prune266.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Merged error: 1.4b

Counts

89 → 3

regimes358.0ms

Accuracy

0% (0.2b remaining)

Error of 1.5b against oracle of 1.3b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	54
1	31	54

end0.0ms

analyze2.3s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample1.4s

Algorithm

intervals

Results

845.0ms	7812×	body	80	valid
48.0ms	77×	body	1280	invalid
41.0ms	64×	body	1280	valid
38.0ms	91×	body	640	invalid
31.0ms	70×	body	640	valid
27.0ms	266×	body	80	invalid
16.0ms	53×	body	320	invalid
10.0ms	32×	body	320	valid
6.0ms	26×	body	160	invalid
5.0ms	22×	body	160	valid

Details

analyze2.3s

sample56.0ms

simplify35.0ms

prune12.0ms

localize21.0ms

rewrite48.0ms

series136.0ms

simplify40.0ms

prune148.0ms

localize14.0ms

rewrite41.0ms

series114.0ms

simplify50.0ms

prune108.0ms

localize16.0ms

rewrite58.0ms

series152.0ms

simplify40.0ms

prune161.0ms

localize20.0ms

rewrite53.0ms

series258.0ms

simplify77.0ms

prune266.0ms

regimes358.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.3s

sample1.4s

Profiling