Details

sample92.0ms

Algorithm

intervals

Results

52.0ms	256×	body	80	valid
12.0ms	8×	body	640	valid
3.0ms	5×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	3×	body	160	valid

simplify881.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize47.0ms

Local error

Found 4 expressions with local error:

35.3b	(cos (- (/ (* (+ m n) K) 2) M))
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(- (/ (* (+ m n) K) 2) M)
0.0b	(* (+ m n) K)

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

Slowest

194.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
27.0ms	(cos (- (/ (* (+ m n) K) 2) M))
24.0ms	(- (/ (* (+ m n) K) 2) M)
19.0ms	(* (+ m n) K)

series335.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
96.0ms	(- (/ (* (+ m n) K) 2) M)
94.0ms	(cos (- (/ (* (+ m n) K) 2) M))
27.0ms	(* (+ m n) K)

simplify603.0ms

Counts: 109 → 109

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize43.0ms

Local error

Found 1 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 49

Calls

1 calls:

Slowest

185.0ms

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

series113.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

113.0ms

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

simplify1.2s

Counts: 52 → 52

prune737.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 2 expressions with local error:

22.1b	(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

Slowest

219.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
1.0ms	(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

series221.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

122.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
98.0ms	(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

simplify1.2s

Counts: 64 → 64

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

localize80.0ms

Local error

Found 4 expressions with local error:

50.2b	(posit16->real (real->posit16 (* (+ m n) K)))
35.3b	(cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(* (+ m n) K)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

147.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
14.0ms	(* (+ m n) K)
13.0ms	(cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))
0.0ms	(posit16->real (real->posit16 (* (+ m n) K)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
83.0ms	(cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))
26.0ms	(posit16->real (real->posit16 (* (+ m n) K)))
24.0ms	(* (+ m n) K)

simplify1.9s

Counts: 103 → 103

prune2.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

regimes552.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.7s	8109×	body	80	valid
198.0ms	166×	body	640	valid
190.0ms	124×	body	1280	valid
66.0ms	98×	body	320	valid
26.0ms	59×	body	160	valid
2.0ms	1×	body	2560	valid