Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	260×	body	80	valid
2.0ms	3×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* K (+ m n))
0.0b	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
34.6b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

20.0ms	(* K (+ m n))
358.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
57.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
37.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series875.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* K (+ m n))
474.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
296.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
68.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify38.0ms

Counts: 82 → 82

prune350.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

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)

rewrite424.0ms

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:

361.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
63.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series491.0ms

Counts

2 → 6

Calls

2 calls:

199.0ms	(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
291.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify76.0ms

Counts: 43 → 43

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.5b	(cbrt (pow (cos (- (/ (* K (+ m n)) 2.0) M)) 3))
0.6b	(pow (cos (- (/ (* K (+ m n)) 2.0) M)) 3)
34.6b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt` `unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow` `cube-prod`
5×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`cube-mult` `pow-to-exp` `cos-sum` `pow-pow` `unpow3` `pow-exp` `difference-of-squares`
1×	`cos-diff` `sub-neg` `times-frac` `pow1/3` `rem-cbrt-cube` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 74

Calls

4 calls:

58.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
4.0ms	(cbrt (pow (cos (- (/ (* K (+ m n)) 2.0) M)) 3))
5.0ms	(pow (cos (- (/ (* K (+ m n)) 2.0) M)) 3)
37.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series573.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
67.0ms	(cbrt (pow (cos (- (/ (* K (+ m n)) 2.0) M)) 3))
150.0ms	(pow (cos (- (/ (* K (+ m n)) 2.0) M)) 3)
67.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify161.0ms

Counts: 86 → 86

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
34.6b	(cos (- (/ (* K (+ m n)) 2.0) M))
34.6b	(cos (- (/ (* K (+ m n)) 2.0) M))
34.6b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite104.0ms

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:

2.0ms	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
31.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))
30.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))
39.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series378.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (cos (- (/ (* K (+ m n)) 2.0) M)))
71.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))
65.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))
72.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify121.0ms

Counts: 53 → 53

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes145.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	8120×	body	80	valid
128.0ms	140×	body	640	valid
124.0ms	142×	body	1280	valid
44.0ms	61×	body	160	valid
35.0ms	95×	body	320	valid
4.0ms	4×	body	2560	valid