Details

sample51.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
4.0ms	9×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	2×	body	320	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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: 15.5b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* K (+ m n)) 2.0) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(* K (+ m n))
33.8b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite33.0ms

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:

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

series87.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ (* K (+ m n)) 2.0) M)
47.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
6.0ms	(* K (+ m n))
21.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

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

prune196.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	7	80

Merged error: 1.6b

Counts

80 → 7

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:

16.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
12.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
40.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (74.0ms)

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

prune100.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 1.6b

Counts

50 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt K)
0.6b	(cbrt K)
0.6b	(cbrt K)
33.7b	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt K)
1.0ms	(cbrt K)
1.0ms	(cbrt K)
13.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

series94.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt K)
21.0ms	(cbrt K)
26.0ms	(cbrt K)
26.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (37.0ms)

Iter	Nodes	Cost
0	130	345
1	254	312
2	456	282
3	1079	279
4	5001	267

prune133.0ms

Filtered

43 candidates to 55 candidates (-27.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	53	9	62

Merged error: 1.6b

Counts

62 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt K)
0.6b	(cbrt K)
0.6b	(cbrt K)
33.7b	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt K)
1.0ms	(cbrt K)
1.0ms	(cbrt K)
13.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt K)
21.0ms	(cbrt K)
22.0ms	(cbrt K)
26.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	130	345
1	254	312
2	456	282
3	1079	279
4	5001	267

prune109.0ms

Filtered

44 candidates to 55 candidates (-25.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	55	9	64

Merged error: 1.6b

Counts

64 → 9

regimes520.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

843.0ms	8086×	body	80	valid
81.0ms	151×	body	640	valid
68.0ms	113×	body	1280	valid
33.0ms	108×	body	320	valid
11.0ms	54×	body	160	valid
2.0ms	2×	body	2560	valid

Details

sample51.0ms

simplify48.0ms

prune12.0ms

localize27.0ms

rewrite33.0ms

series87.0ms

simplify46.0ms

prune196.0ms

localize15.0ms

rewrite29.0ms

series83.0ms

simplify79.0ms

prune100.0ms

localize27.0ms

rewrite17.0ms

series94.0ms

simplify42.0ms

prune133.0ms

localize29.0ms

rewrite17.0ms

series90.0ms

simplify42.0ms

prune109.0ms

regimes520.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Profiling