Details

sample58.0ms

Algorithm

intervals

Results

31.0ms	256×	body	80	valid
3.0ms	4×	body	1280	valid
3.0ms	7×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5147	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: 15.9b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* K (/ (+ m n) 2.0))
0.0b	(- (* K (/ (+ m n) 2.0)) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
34.7b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(* K (/ (+ m n) 2.0))
6.0ms	(- (* K (/ (+ m n) 2.0)) M)
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
10.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

series85.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* K (/ (+ m n) 2.0))
13.0ms	(- (* K (/ (+ m n) 2.0)) M)
43.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
21.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5170	976

prune176.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 1.0b

Counts

90 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`unpow-prod-down`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1` `add-exp-log` `pow-unpow`
2×	`add-cbrt-cube` `difference-of-squares`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `times-frac` `pow-exp` `sum-log` `flip-+` `distribute-lft-out` `distribute-lft-out--` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

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

series79.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) l)
40.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4896	512
1	4896	512

prune78.0ms

Filtered

29 candidates to 38 candidates (-31.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 1.0b

Counts

42 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (+ m n) 2.0))
0.6b	(cbrt (/ (+ m n) 2.0))
0.6b	(cbrt (/ (+ m n) 2.0))
34.6b	(cos (- (* (* K (* (cbrt (/ (+ m n) 2.0)) (cbrt (/ (+ m n) 2.0)))) (cbrt (/ (+ m n) 2.0))) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod`
46×	`*-un-lft-identity`
36×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 85

Calls

4 calls:

4.0ms	(cbrt (/ (+ m n) 2.0))
4.0ms	(cbrt (/ (+ m n) 2.0))
4.0ms	(cbrt (/ (+ m n) 2.0))
23.0ms	(cos (- (* (* K (* (cbrt (/ (+ m n) 2.0)) (cbrt (/ (+ m n) 2.0)))) (cbrt (/ (+ m n) 2.0))) M))

series149.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (/ (+ m n) 2.0))
37.0ms	(cbrt (/ (+ m n) 2.0))
40.0ms	(cbrt (/ (+ m n) 2.0))
35.0ms	(cos (- (* (* K (* (cbrt (/ (+ m n) 2.0)) (cbrt (/ (+ m n) 2.0)))) (cbrt (/ (+ m n) 2.0))) M))

simplify65.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4923	1139
1	4923	1139

prune243.0ms

Filtered

75 candidates to 97 candidates (-29.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 1.0b

Counts

101 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (+ m n) 2.0))
0.6b	(cbrt (/ (+ m n) 2.0))
0.6b	(cbrt (* (cbrt (+ m n)) (cbrt (+ m n))))
34.6b	(cos (- (* (* K (* (cbrt (/ (+ m n) 2.0)) (cbrt (/ (+ m n) 2.0)))) (* (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (/ (cbrt (+ m n)) 2.0)))) M))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
32×	`*-un-lft-identity`
24×	`times-frac`
22×	`cbrt-div`
20×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`pow1` `add-exp-log` `frac-times` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`cos-sum` `associate-r/` `associate-l/` `div-inv`
1×	`cos-diff` `sub-neg`

Counts

4 → 77

Calls

4 calls:

4.0ms	(cbrt (/ (+ m n) 2.0))
4.0ms	(cbrt (/ (+ m n) 2.0))
8.0ms	(cbrt (* (cbrt (+ m n)) (cbrt (+ m n))))
36.0ms	(cos (- (* (* K (* (cbrt (/ (+ m n) 2.0)) (cbrt (/ (+ m n) 2.0)))) (* (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (/ (cbrt (+ m n)) 2.0)))) M))

series196.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (/ (+ m n) 2.0))
38.0ms	(cbrt (/ (+ m n) 2.0))
49.0ms	(cbrt (* (cbrt (+ m n)) (cbrt (+ m n))))
71.0ms	(cos (- (* (* K (* (cbrt (/ (+ m n) 2.0)) (cbrt (/ (+ m n) 2.0)))) (* (cbrt (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (/ (cbrt (+ m n)) 2.0)))) M))

simplify60.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4899	1568
1	4899	1568

prune245.0ms

Filtered

71 candidates to 89 candidates (-25.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	87	6	93

Merged error: 0.9b

Counts

93 → 6

regimes430.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	20	17
1	20	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

827.0ms	8072×	body	80	valid
75.0ms	126×	body	1280	valid
70.0ms	166×	body	640	valid
30.0ms	99×	body	320	valid
13.0ms	61×	body	160	valid
1.0ms	1×	body	2560	valid

Details

sample58.0ms

simplify33.0ms

prune12.0ms

localize20.0ms

rewrite38.0ms

series85.0ms

simplify49.0ms

prune176.0ms

localize13.0ms

rewrite27.0ms

series79.0ms

simplify61.0ms

prune78.0ms

localize24.0ms

rewrite38.0ms

series149.0ms

simplify65.0ms

prune243.0ms

localize31.0ms

rewrite55.0ms

series196.0ms

simplify60.0ms

prune245.0ms

regimes430.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling