Details

sample110.0ms

Algorithm

intervals

Results

74.0ms	259×	body	80	valid
6.0ms	5×	body	1280	valid
6.0ms	6×	body	640	valid
1.0ms	2×	body	320	valid
1.0ms	1×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize52.0ms

Local error

Found 4 expressions with local error:

34.1b	(cos (- (* (/ K 2) (+ m n)) M))
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
0.0b	(* (/ K 2) (+ m n))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
19×	`associate-l`
17×	`add-cube-cbrt`
14×	`times-frac`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r` `add-log-exp`
9×	`difference-of-squares`
8×	`swap-sqr`
6×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
5×	`sub-neg`
4×	`distribute-rgt-in` `cos-sum` `exp-prod` `distribute-lft-in` `exp-sum` `associate--l+` `associate-*r/` `insert-posit16`
3×	`diff-log` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr` `rem-exp-log`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`pow2` `cos-diff` `cbrt-undiv` `pow-plus` `exp-diff` `div-exp` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

Slowest

206.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
152.0ms	(exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
36.0ms	(cos (- (* (/ K 2) (+ m n)) M))
20.0ms	(* (/ K 2) (+ m n))

series411.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
128.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
64.0ms	(cos (- (* (/ K 2) (+ m n)) M))
56.0ms	(* (/ K 2) (+ m n))

simplify347.0ms

Counts: 161 → 134

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.4b

localize59.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
0.0b	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`flip3--` `flip--`
22×	`*-un-lft-identity`
16×	`frac-sub`
14×	`add-log-exp`
12×	`frac-times`
10×	`pow1` `difference-of-squares`
8×	`sub-neg` `swap-sqr` `add-cube-cbrt`
6×	`diff-log` `associate-r` `associate-l` `associate-l/` `associate-r/` `distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log`
4×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `times-frac` `exp-sum` `associate--l+` `associate--r+`
3×	`insert-posit16` `rem-exp-log`
1×	`associate--l-` `pow2` `pow-plus` `exp-diff` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

Slowest

177.0ms	(exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
165.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
111.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

series470.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

248.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))
133.0ms	(exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
88.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

simplify439.0ms

Counts: 152 → 116

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(pow E (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
0.0b	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`flip3--` `flip--`
23×	`*-un-lft-identity`
16×	`frac-sub`
12×	`frac-times`
11×	`pow1`
10×	`difference-of-squares`
9×	`add-cube-cbrt`
8×	`sub-neg` `swap-sqr` `add-log-exp`
6×	`associate-r` `associate-l` `associate-l/` `associate-r/` `add-exp-log` `distribute-lft-out--`
5×	`add-cbrt-cube`
4×	`distribute-rgt-in` `unpow-prod-up` `pow-unpow` `distribute-lft-in` `times-frac` `associate--l+` `associate--r+`
3×	`unpow-prod-down` `diff-log` `insert-posit16`
2×	`pow-exp`
1×	`associate--l-` `pow2` `pow-to-exp` `e-exp-1` `pow-pow` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `pow-sub` `unswap-sqr` `sqr-pow`

Counts

3 → 112

Calls

3 calls:

Slowest

262.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
92.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))
37.0ms	(pow E (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

series529.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

240.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))
177.0ms	(pow E (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
112.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

simplify389.0ms

Counts: 164 → 121

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize60.0ms

Local error

Found 4 expressions with local error:

34.1b	(cos (- (* (/ K 2) (+ m n)) M))
34.1b	(cos (- (* (/ K 2) (+ m n)) M))
34.1b	(cos (- (* (/ K 2) (+ m n)) M))
0.6b	(cbrt (* (* (cos (- (* (/ K 2) (+ m n)) M)) (cos (- (* (/ K 2) (+ m n)) M))) (cos (- (* (/ K 2) (+ m n)) M))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cos-sum`
6×	`associate--l+`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `cos-diff` `sub-neg` `distribute-lft-in`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `cos-mult` `rem-cbrt-cube`

Counts

4 → 51

Calls

4 calls:

Slowest

101.0ms	(cbrt (* (* (cos (- (* (/ K 2) (+ m n)) M)) (cos (- (* (/ K 2) (+ m n)) M))) (cos (- (* (/ K 2) (+ m n)) M))))
32.0ms	(cos (- (* (/ K 2) (+ m n)) M))
30.0ms	(cos (- (* (/ K 2) (+ m n)) M))
30.0ms	(cos (- (* (/ K 2) (+ m n)) M))

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(cos (- (* (/ K 2) (+ m n)) M))
89.0ms	(cos (- (* (/ K 2) (+ m n)) M))
84.0ms	(cbrt (* (* (cos (- (* (/ K 2) (+ m n)) M)) (cos (- (* (/ K 2) (+ m n)) M))) (cos (- (* (/ K 2) (+ m n)) M))))
67.0ms	(cos (- (* (/ K 2) (+ m n)) M))

simplify849.0ms

Counts: 78 → 63

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

regimes642.0ms

Accuracy

0% (0.3b remaining)

Error of 1.5b against oracle of 1.3b and baseline of 1.5b

bsearch4.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.5s	8063×	body	80	valid
199.0ms	186×	body	640	valid
194.0ms	131×	body	1280	valid
131.0ms	95×	body	320	valid
28.0ms	61×	body	160	valid
3.0ms	2×	body	2560	valid