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

sample51.0ms

Algorithm

intervals

Results

25.0ms	252×	body	80	valid
3.0ms	7×	body	640	invalid
2.0ms	3×	body	1280	invalid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
1.0ms	7×	body	80	invalid
1.0ms	3×	body	160	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune16.0ms

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: 12.9b

Counts

2 → 1

localize20.0ms

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))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
32.9b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-cube-cbrt`
14×	`times-frac`
10×	`add-exp-log`
9×	`add-cbrt-cube` `add-log-exp`
7×	`pow1`
6×	`unpow-prod-down`
4×	`distribute-lft-out`
3×	`pow-unpow` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`sub-neg` `diff-log` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `cos-diff` `pow-to-exp` `cos-sum` `flip3--` `pow-pow` `associate-r/` `div-exp` `pow-prod-down` `pow-exp` `sum-log` `-commutative` `flip--` `div-inv` `associate--r+` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

15.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
9.0ms	(* K (/ (+ m n) 2.0))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
8.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series110.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
8.0ms	(* K (/ (+ m n) 2.0))
39.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
22.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4941	1178
1	4941	1178

prune187.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Merged error: 0.8b

Counts

93 → 4

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)

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:

14.0ms	(+ (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)

series130.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
40.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
55.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4929	925
1	4929	925

prune104.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0.8b

Counts

61 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ m n))
0.6b	(cbrt (+ m n))
0.6b	(cbrt (+ m n))
33.0b	(cos (- (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (/ (cbrt (+ m n)) 2.0)) M))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`cos-diff` `sub-neg` `cos-sum`

Counts

4 → 51

Calls

4 calls:

3.0ms	(cbrt (+ m n))
3.0ms	(cbrt (+ m n))
3.0ms	(cbrt (+ m n))
24.0ms	(cos (- (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (/ (cbrt (+ m n)) 2.0)) M))

series124.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ m n))
34.0ms	(cbrt (+ m n))
31.0ms	(cbrt (+ m n))
27.0ms	(cos (- (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (/ (cbrt (+ m n)) 2.0)) M))

simplify84.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4848	546
1	4848	546

prune133.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	62	5	67

Merged error: 0.8b

Counts

67 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

14.3b	(cbrt (* K (/ (+ m n) 2.0)))
14.3b	(cbrt (* K (/ (+ m n) 2.0)))
14.3b	(cbrt (* K (/ (+ m n) 2.0)))
32.9b	(cos (- (* (* (cbrt (* K (/ (+ m n) 2.0))) (cbrt (* K (/ (+ m n) 2.0)))) (cbrt (* K (/ (+ m n) 2.0)))) M))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/`
1×	`cos-diff` `sub-neg` `cos-sum`

Counts

4 → 39

Calls

4 calls:

6.0ms	(cbrt (* K (/ (+ m n) 2.0)))
6.0ms	(cbrt (* K (/ (+ m n) 2.0)))
6.0ms	(cbrt (* K (/ (+ m n) 2.0)))
11.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2.0))) (cbrt (* K (/ (+ m n) 2.0)))) (cbrt (* K (/ (+ m n) 2.0)))) M))

series144.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (* K (/ (+ m n) 2.0)))
36.0ms	(cbrt (* K (/ (+ m n) 2.0)))
37.0ms	(cbrt (* K (/ (+ m n) 2.0)))
33.0ms	(cos (- (* (* (cbrt (* K (/ (+ m n) 2.0))) (cbrt (* K (/ (+ m n) 2.0)))) (cbrt (* K (/ (+ m n) 2.0)))) M))

simplify61.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4838	480
1	4838	480

prune122.0ms

Filtered

43 candidates to 51 candidates (-18.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	51	5	56

Merged error: 0.8b

Counts

56 → 5

regimes380.0ms

Accuracy

0% (0.3b remaining)

Error of 1.4b against oracle of 1.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	17
1	61	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

818.0ms	7824×	body	80	valid
40.0ms	69×	body	1280	invalid
37.0ms	85×	body	640	invalid
31.0ms	71×	body	640	valid
28.0ms	45×	body	1280	valid
27.0ms	279×	body	80	invalid
24.0ms	77×	body	320	invalid
12.0ms	38×	body	320	valid
7.0ms	36×	body	160	invalid
5.0ms	22×	body	160	valid
3.0ms	3×	body	2560	invalid

Details

analyze2.4s

sample51.0ms

simplify48.0ms

prune16.0ms

localize20.0ms

rewrite45.0ms

series110.0ms

simplify51.0ms

prune187.0ms

localize14.0ms

rewrite43.0ms

series130.0ms

simplify44.0ms

prune104.0ms

localize26.0ms

rewrite35.0ms

series124.0ms

simplify84.0ms

prune133.0ms

localize24.0ms

rewrite29.0ms

series144.0ms

simplify61.0ms

prune122.0ms

regimes380.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling