Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	260×	body	80	valid
0.0hr	3×	body	640	valid
0.0hr	2×	body	1280	valid
0.0hr	5×	body	160	valid
0.0hr	2×	body	320	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	50	16
1	93	16
2	200	16
3	517	15
4	1893	15
5	5001	15

prune0.0hr

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 15.6b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* K (+ m n)) 2.0) M)
0.0b	(* K (+ m n))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
36.5b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`pow-unpow` `associate-l` `difference-of-squares`
2×	`sub-neg` `cos-sum` `associate-*r/` `distribute-lft-out--`
1×	`distribute-rgt-in` `cos-diff` `pow-to-exp` `flip3--` `pow-pow` `distribute-lft-in` `flip3-+` `times-frac` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	392	495
1	1304	457
2	5001	450

prune0.0hr

Filtered

79 candidates to 56 candidates (29.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0.9b

Counts

80 → 4

localize0.0hr

Local error

Found 2 expressions with local error:

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

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-log-exp`
11×	`add-sqr-sqrt`
7×	`distribute-lft-out--`
6×	`unpow-prod-down` `diff-log`
4×	`add-cube-cbrt`
3×	`pow1` `add-exp-log` `pow-unpow` `difference-of-squares`
2×	`sub-neg` `distribute-rgt-neg-in` `neg-log` `add-cbrt-cube` `associate--r+`
1×	`associate--l-` `neg-sub0` `pow-to-exp` `flip3--` `pow-pow` `times-frac` `pow-exp` `flip--` `associate--r-` `sqr-pow`

Counts

2 → 44

Calls

2 calls:

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

series0.0hr

Counts

2 → 6

Calls

2 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	307	480
1	860	455
2	3617	442
3	5001	439

prune0.0hr

Filtered

50 candidates to 34 candidates (32.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0.9b

Counts

54 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
36.5b	(cos (- (/ (* K (+ m n)) 2.0) M))
36.5b	(cos (- (/ (* K (+ m n)) 2.0) M))
36.5b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

0.0hr	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify0.0hr

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	86	463
1	132	417
2	213	415
3	406	415
4	1373	415
5	5001	415

prune0.0hr

Filtered

53 candidates to 44 candidates (17.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	53	4	57

Merged error: 0.9b

Counts

57 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.6b	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
36.5b	(cos (- (/ (* K (+ m n)) 2.0) M))
36.5b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

0.0hr	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.0hr	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.0hr	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))
0.0hr	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify0.0hr

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	86	478
1	132	430
2	213	426
3	406	426
4	1373	426
5	5001	426

prune0.0hr

Filtered

54 candidates to 44 candidates (18.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	53	5	58

Merged error: 0.9b

Counts

58 → 5

regimes0.0hr

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	21	10
1	23	10
2	23	10

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	8083×	body	80	valid
0.0hr	131×	body	1280	valid
0.0hr	160×	body	640	valid
0.0hr	108×	body	320	valid
0.0hr	64×	body	160	valid
0.0hr	4×	body	2560	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling