Details

sample124.0ms

Algorithm

intervals

Results

77.0ms	261×	body	80	valid
6.0ms	3×	body	1280	valid
5.0ms	4×	body	640	valid
4.0ms	5×	body	320	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	2910
4	776
3	248
2	100
1	51
0	21

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (+ m n) K) 2) M)
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(* (+ m n) K)
34.6b	(cos (- (/ (* (+ m n) K) 2) M))

rewrite315.0ms

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:

27.0ms	(- (/ (* (+ m n) K) 2) M)
227.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
27.0ms	(* (+ m n) K)
31.0ms	(cos (- (/ (* (+ m n) K) 2) M))

series311.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (/ (* (+ m n) K) 2) M)
107.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
33.0ms	(* (+ m n) K)
91.0ms	(cos (- (/ (* (+ m n) K) 2) M))

simplify2.5s

Counts

109 → 109

Iterations

Iter	Nodes
3	6185
2	1580
1	475
0	186

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.3b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite211.0ms

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:

210.0ms

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

series121.0ms

Counts

1 → 3

Calls

1 calls:

121.0ms

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

simplify1.5s

Counts

52 → 52

Iterations

Iter	Nodes
3	4187
2	933
1	269
0	94

prune750.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
18.3b	(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

rewrite201.0ms

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:

200.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0ms	(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

series206.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
102.0ms	(posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
3	4129
2	946
1	281
0	103

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.3b

localize83.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(* (+ m n) K)
34.6b	(cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))
50.5b	(posit16->real (real->posit16 (* (+ m n) K)))

rewrite241.0ms

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:

207.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
18.0ms	(* (+ m n) K)
14.0ms	(cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))
0.0ms	(posit16->real (real->posit16 (* (+ m n) K)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
41.0ms	(* (+ m n) K)
109.0ms	(cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))
25.0ms	(posit16->real (real->posit16 (* (+ m n) K)))

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
3	5310
2	1434
1	423
0	170

prune3.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.3b

regimes714.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.0b and baseline of 1.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	18
1	18
0	16

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s	8108×	body	80	valid
279.0ms	106×	body	1280	valid
159.0ms	142×	body	640	valid
75.0ms	112×	body	320	valid
26.0ms	49×	body	160	valid
4.0ms	2×	body	2560	valid