Details

sample57.0ms

Algorithm

intervals

Results

32.0ms	262×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	320	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

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: 16.0b

Counts

2 → 1

localize22.0ms

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)
32.4b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite36.0ms

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:

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

series78.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ (* K (+ m n)) 2.0) M)
6.0ms	(* K (+ m n))
39.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
21.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (33.0ms)

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

prune149.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Merged error: 0.6b

Counts

80 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

18.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
39.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify80.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	284	378
1	795	361
2	3218	353
3	5001	350

prune76.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Merged error: 0.6b

Counts

45 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

16.4b	(cbrt (* K (+ m n)))
16.4b	(cbrt (* K (+ m n)))
16.4b	(cbrt (* K (+ m n)))
32.4b	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 43

Calls

4 calls:

4.0ms	(cbrt (* K (+ m n)))
4.0ms	(cbrt (* K (+ m n)))
4.0ms	(cbrt (* K (+ m n)))
10.0ms	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

series109.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (* K (+ m n)))
28.0ms	(cbrt (* K (+ m n)))
28.0ms	(cbrt (* K (+ m n)))
23.0ms	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

simplify63.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	186	514
1	386	464
2	918	446
3	2313	434
4	5001	407

prune110.0ms

Filtered

49 candidates to 55 candidates (-12.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Merged error: 0.6b

Counts

57 → 2

regimes293.0ms

Accuracy

0% (0.2b remaining)

Error of 1.6b against oracle of 1.4b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

817.0ms	8055×	body	80	valid
81.0ms	190×	body	640	valid
78.0ms	126×	body	1280	valid
34.0ms	108×	body	320	valid
11.0ms	53×	body	160	valid
2.0ms	2×	body	2560	valid

Details

sample57.0ms

simplify48.0ms

prune12.0ms

localize22.0ms

rewrite36.0ms

series78.0ms

simplify42.0ms

prune149.0ms

localize15.0ms

rewrite29.0ms

series81.0ms

simplify80.0ms

prune76.0ms

localize27.0ms

rewrite24.0ms

series109.0ms

simplify63.0ms

prune110.0ms

regimes293.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling