Details

analyze2.5s

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

sample52.0ms

Algorithm

intervals

Results

27.0ms	250×	body	80	valid
2.0ms	5×	body	640	valid
2.0ms	4×	body	640	invalid
1.0ms	7×	body	80	invalid
1.0ms	2×	body	320	invalid
1.0ms	1×	body	1280	invalid
0.0ms	1×	body	320	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune25.0ms

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: 15.4b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(- (* K (/ (+ m n) 2.0)) M)
0.0b	(* K (/ (+ m n) 2.0))
33.4b	(cos (- (* K (/ (+ m n) 2.0)) M))

rewrite35.0ms

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` `prod-exp` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `cos-diff` `pow-to-exp` `cos-sum` `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 → 75

Calls

4 calls:

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

series82.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
16.0ms	(- (* K (/ (+ m n) 2.0)) M)
8.0ms	(* K (/ (+ m n) 2.0))
20.0ms	(cos (- (* K (/ (+ m n) 2.0)) M))

simplify84.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4925	951
1	4925	951

prune185.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 1.2b

Counts

88 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fabs (- m n)) (+ (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

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

Counts

2 → 36

Calls

2 calls:

15.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
11.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series82.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (fabs (- m n)) (+ (pow (- (/ (+ m n) 2.0) M) 2.0) l))
41.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify26.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5087	706

prune91.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 1.2b

Counts

47 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ m n))
0.5b	(cbrt (+ m n))
0.5b	(cbrt (+ m n))
33.4b	(cos (- (* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt (+ m n)) (sqrt 2.0))) M))

rewrite33.0ms

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

series140.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ m n))
31.0ms	(cbrt (+ m n))
30.0ms	(cbrt (+ m n))
50.0ms	(cos (- (* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt (+ m n)) (sqrt 2.0))) M))

simplify61.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5150	546

prune163.0ms

Filtered

51 candidates to 63 candidates (-23.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 1.1b

Counts

68 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ m n))
0.6b	(cbrt m)
1.9b	(* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt m) (sqrt 2.0)))
30.3b	(cos (- (* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt m) (sqrt 2.0))) M))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-r`
36×	`add-exp-log` `times-frac`
33×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`add-cbrt-cube`
25×	`cbrt-prod`
18×	`prod-exp` `sqrt-prod` `cbrt-unprod`
13×	`pow1` `associate-*r/`
10×	`cbrt-div`
9×	`frac-times` `associate-*l/`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
2×	`pow1/3`
1×	`cos-diff` `sub-neg` `cos-sum` `associate-l` `*-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 113

Calls

4 calls:

3.0ms	(cbrt (+ m n))
1.0ms	(cbrt m)
24.0ms	(* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt m) (sqrt 2.0)))
24.0ms	(cos (- (* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt m) (sqrt 2.0))) M))

series187.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (+ m n))
23.0ms	(cbrt m)
52.0ms	(* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt m) (sqrt 2.0)))
82.0ms	(cos (- (* (* K (* (cbrt (+ m n)) (/ (cbrt (+ m n)) (sqrt 2.0)))) (/ (cbrt m) (sqrt 2.0))) M))

simplify66.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4931	2237
1	4931	2237

prune241.0ms

Filtered

80 candidates to 125 candidates (-56.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	2	3
Picked	1	0	1
Done	1	1	2
Total	126	5	131

Merged error: 1.1b

Counts

131 → 5

regimes397.0ms

Accuracy

0% (0.3b remaining)

Error of 1.3b against oracle of 1.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	17
1	61	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

921.0ms	7840×	body	80	valid
49.0ms	73×	body	1280	invalid
36.0ms	77×	body	640	invalid
31.0ms	80×	body	320	invalid
31.0ms	282×	body	80	invalid
28.0ms	58×	body	640	valid
22.0ms	33×	body	1280	valid
16.0ms	49×	body	320	valid
11.0ms	49×	body	160	invalid
4.0ms	20×	body	160	valid
2.0ms	2×	body	2560	invalid

Details

analyze2.5s

sample52.0ms

simplify45.0ms

prune25.0ms

localize28.0ms

rewrite35.0ms

series82.0ms

simplify84.0ms

prune185.0ms

localize14.0ms

rewrite27.0ms

series82.0ms

simplify26.0ms

prune91.0ms

localize27.0ms

rewrite33.0ms

series140.0ms

simplify61.0ms

prune163.0ms

localize30.0ms

rewrite57.0ms

series187.0ms

simplify66.0ms

prune241.0ms

regimes397.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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