Details

analyze2.4s

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

sample129.0ms

Algorithm

intervals

Results

25.0ms	251×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune13.0ms

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: 18.1b

Counts

2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
0.0b	(- (* K (/ (+ m n) 2.0)) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
40.7b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

15.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
7.0ms	(- (* K (/ (+ m n) 2.0)) M)
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series120.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
13.0ms	(- (* K (/ (+ m n) 2.0)) M)
45.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
21.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify66.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4888	1044
1	4888	1044

prune153.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Merged error: 1.0b

Counts

69 → 3

localize16.0ms

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)

rewrite43.0ms

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)
15.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
13.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series120.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
43.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
40.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4929	925
1	4929	925

prune103.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 1.0b

Counts

60 → 3

localize39.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
16.6b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
16.6b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
40.6b	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`

Counts

4 → 46

Calls

4 calls:

7.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
7.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
8.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
8.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
57.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
60.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
22.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5152	873

prune208.0ms

Filtered

53 candidates to 58 candidates (-9.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 1.0b

Counts

61 → 6

localize41.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
16.6b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
16.6b	(cbrt (- (* K (/ (+ m n) 2.0)) M))
40.6b	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (* (cbrt (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M)))) (cbrt (cbrt (- (* K (/ (+ m n) 2.0)) M))))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`

Counts

4 → 46

Calls

4 calls:

8.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
8.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
7.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
32.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (* (cbrt (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M)))) (cbrt (cbrt (- (* K (/ (+ m n) 2.0)) M))))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
59.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
59.0ms	(cbrt (- (* K (/ (+ m n) 2.0)) M))
23.0ms	(cos (* (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (* (cbrt (* (cbrt (- (* K (/ (+ m n) 2.0)) M)) (cbrt (- (* K (/ (+ m n) 2.0)) M)))) (cbrt (cbrt (- (* K (/ (+ m n) 2.0)) M))))) (cbrt (- (* K (/ (+ m n) 2.0)) M))))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5120	1249

prune265.0ms

Filtered

53 candidates to 58 candidates (-9.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	1	2	3
Picked	1	0	1
Done	1	1	2
Total	58	6	64

Merged error: 1.0b

Counts

64 → 6

regimes479.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	17
1	61	17

end0.0ms

sample3.7s

Algorithm

intervals

Results

770.0ms	7830×	body	80	valid
34.0ms	74×	body	640	valid
26.0ms	41×	body	1280	valid
10.0ms	31×	body	320	valid
5.0ms	24×	body	160	valid

Details

analyze2.4s

sample129.0ms

simplify49.0ms

prune13.0ms

localize33.0ms

rewrite42.0ms

series120.0ms

simplify66.0ms

prune153.0ms

localize16.0ms

rewrite43.0ms

series120.0ms

simplify49.0ms

prune103.0ms

localize39.0ms

rewrite31.0ms

series197.0ms

simplify44.0ms

prune208.0ms

localize41.0ms

rewrite56.0ms

series197.0ms

simplify41.0ms

prune265.0ms

regimes479.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

Profiling