Details

sample114.0ms

Algorithm

intervals

Results

71.0ms	256×	body	80	valid
5.0ms	4×	body	1280	valid
4.0ms	5×	body	320	valid
3.0ms	3×	body	640	valid
1.0ms	2×	body	160	valid

simplify946.0ms

Counts: 1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize62.0ms

Local error

Found 4 expressions with local error:

35.1b	(cos (- (* (/ K 2) (+ m n)) M))
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(* (/ K 2) (+ m n))
0.0b	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

Slowest

205.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
100.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))
44.0ms	(cos (- (* (/ K 2) (+ m n)) M))
16.0ms	(* (/ K 2) (+ m n))

series467.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

218.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))
97.0ms	(cos (- (* (/ K 2) (+ m n)) M))
95.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
57.0ms	(* (/ K 2) (+ m n))

simplify1.7s

Counts: 152 → 152

prune2.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

Slowest

164.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
63.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

series306.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

226.0ms	(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))
79.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

simplify1.3s

Counts: 93 → 93

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize65.0ms

Local error

Found 3 expressions with local error:

22.0b

(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

0.0b

(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

0.0b

(- (- (fabs (- m n)) l) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

Slowest

263.0ms

(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

47.0ms

(- (- (fabs (- m n)) l) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))

1.0ms

(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

series421.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

238.0ms

(- (- (fabs (- m n)) l) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))

100.0ms

(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

82.0ms

(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

simplify1.7s

Counts: 87 → 87

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize108.0ms

Local error

Found 4 expressions with local error:

35.4b	(cos (- (* (/ (* (cbrt K) (cbrt K)) 1) (* (/ (cbrt K) 2) (+ m n))) M))
0.5b	(cbrt K)
0.5b	(cbrt K)
0.5b	(cbrt K)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

Slowest

201.0ms	(cos (- (* (/ (* (cbrt K) (cbrt K)) 1) (* (/ (cbrt K) 2) (+ m n))) M))
1.0ms	(cbrt K)
1.0ms	(cbrt K)
1.0ms	(cbrt K)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

333.0ms	(cbrt K)
265.0ms	(cbrt K)
255.0ms	(cbrt K)
160.0ms	(cos (- (* (/ (* (cbrt K) (cbrt K)) 1) (* (/ (cbrt K) 2) (+ m n))) M))

simplify2.5s

Counts: 63 → 63

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

regimes486.0ms

Accuracy

0% (0.3b remaining)

Error of 1.4b against oracle of 1.1b and baseline of 1.4b

bsearch4.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.9s	8085×	body	80	valid
195.0ms	121×	body	1280	valid
175.0ms	155×	body	640	valid
99.0ms	92×	body	320	valid
21.0ms	41×	body	160	valid
1.0ms	1×	body	2560	valid