Details

sample90.0ms

Algorithm: halfpoints

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize169.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`p16-lft-identity-expand` `p16--un-lft-identity`
14×	`*p16-rgt-identity-expand`
9×	`p16-times-frac`
6×	`introduce-quire`
5×	`/p16-rgt-identity-expand`
4×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand` `distribute-lft-out--`
3×	`associate-/r` `insert-quire-fdp-sub` `associate-/l`
2×	`distribute-rgt-out--` `associate--l+` `associate-/r/` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-flip--` `associate--r-` `associate-/l/`

Counts

2 → 51

Calls

2 calls:

8.0ms	(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
28.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

simplify1.5s

Counts

53 → 53

Iterations

Iter	Nodes
done	5008
3	1281
2	237
1	52
0	29

prune322.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.6b

localize186.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.8b	(/.p16 (*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

501×	`p16-lft-identity-expand` `p16--un-lft-identity`
369×	`p16-times-frac`
266×	`*p16-rgt-identity-expand`
182×	`associate-r`
176×	`p16-distribute-lft-out` `distribute-lft-out`
126×	`associate-l`
88×	`distribute-rgt-out`
69×	`/p16-rgt-identity-expand`
62×	`associate-/r/`
60×	`distribute-lft-out--`
36×	`introduce-quire`
30×	`distribute-rgt-out--`
27×	`associate-/l*`
26×	`insert-quire-fdp-add`
14×	`*-commutative`
13×	`associate-/r*`
10×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
4×	`associate-+l+` `associate-+r+` `associate-/l/`
3×	`insert-quire-fdp-sub`
2×	`+-commutative` `associate-+r-` `insert-quire-add` `associate-*l/` `associate--l+` `p16-flip--` `associate-+l-` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-*r/` `associate--r-`

Counts

4 → 508

Calls

4 calls:

20.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
20.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
28.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
174.0ms	(/.p16 (*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(/.p16 (*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

simplify1.2s

Counts

512 → 512

Iterations

Iter	Nodes
done	5014
2	715
1	119
0	58

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize277.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.7b	(/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

199×	`p16-lft-identity-expand` `p16--un-lft-identity`
135×	`p16-times-frac`
124×	`*p16-rgt-identity-expand`
60×	`distribute-lft-out--`
48×	`p16-distribute-lft-out` `distribute-lft-out`
36×	`introduce-quire`
35×	`/p16-rgt-identity-expand`
30×	`distribute-rgt-out--` `associate-/r/`
26×	`insert-quire-fdp-add`
24×	`distribute-rgt-out`
13×	`associate-/r*`
10×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
9×	`associate-/l*`
4×	`associate-+l+` `associate-+r+`
3×	`insert-quire-fdp-sub`
2×	`+-commutative` `associate-+r-` `insert-quire-add` `associate--l+` `p16-flip--` `associate-+l-` `associate--r+` `associate-/l/`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate--r-`

Counts

4 → 254

Calls

4 calls:

35.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
39.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
26.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
126.0ms	(/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

simplify8.0s

Counts

258 → 258

Iterations

Iter	Nodes
done	5017
3	4446
2	471
1	81
0	46

prune979.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize279.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.8b	(*.p16 (/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

121×	`p16-lft-identity-expand` `p16--un-lft-identity`
86×	`*p16-rgt-identity-expand`
84×	`p16-times-frac`
43×	`associate-r`
36×	`introduce-quire`
31×	`associate-l`
26×	`insert-quire-fdp-add`
24×	`p16-distribute-lft-out` `distribute-lft-out`
23×	`/p16-rgt-identity-expand`
20×	`distribute-lft-out--`
19×	`associate-*r/`
16×	`associate-/r` `associate-l/`
15×	`associate-/r/`
12×	`+p16-lft-identity-expand` `distribute-rgt-out` `+p16-rgt-identity-expand` `associate-/l*`
10×	`distribute-rgt-out--` `-p16-rgt-identity-expand`
4×	`associate-+l+` `associate-+r+`
3×	`insert-quire-fdp-sub` `associate-/l/`
2×	`distribute-rgt-in` `+-commutative` `associate-+r-` `insert-quire-add` `distribute-lft-in` `associate--l+` `p16-flip--` `associate-+l-` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `*-commutative` `associate--r-`

Counts

4 → 226

Calls

4 calls:

22.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
22.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
15.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
141.0ms	(*.p16 (/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(*.p16 (/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))))

simplify3.5s

Counts

230 → 230

Iterations

Iter	Nodes
done	5002
3	2711
2	501
1	112
0	51

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

regimes179.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample1.9s

Algorithm: halfpoints