Details

sample1.4s

Algorithm: halfpoints

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
4	3444
3	563
2	106
1	34
0	15

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize275.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

14×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
13×	`associate-l`
11×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
10×	`associate--l+`
9×	`p16-times-frac` `associate-*l/`
8×	`/p16-rgt-identity-expand`
7×	`introduce-quire` `-p16-rgt-identity-expand`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`p16-flip--`
3×	`associate--l-` `insert-quire-sub` `associate-/r` `associate-r` `associate-/l`
2×	`associate-*r/`
1×	`associate-/r/` `*-commutative` `associate-/l/`

Counts

4 → 88

Calls

4 calls:

82.0ms	(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
35.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
57.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
71.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

simplify2.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
3	4053
2	636
1	138
0	63

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize406.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
1.1b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

68×	`p16-lft-identity-expand` `p16--un-lft-identity`
54×	`p16-times-frac`
53×	`*p16-rgt-identity-expand`
40×	`distribute-lft-out--`
21×	`*-commutative`
20×	`associate-l` `difference-of-squares`
18×	`associate-/l*`
15×	`distribute-rgt-out--`
12×	`introduce-quire`
11×	`/p16-rgt-identity-expand`
10×	`+p16-lft-identity-expand` `associate-r` `associate--l+` `+p16-rgt-identity-expand`
8×	`-p16-rgt-identity-expand`
6×	`associate-/r/`
5×	`insert-quire-fdp-sub`
4×	`p16-flip--`
3×	`associate--l-` `insert-quire-sub` `associate-/r*` `sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate--r+` `associate-/l/`
1×	`associate--r-`

Counts

4 → 155

Calls

4 calls:

39.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
35.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
80.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
287.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

simplify3.5s

Counts

159 → 159

Iterations

Iter	Nodes
done	5039
3	2459
2	479
1	126
0	66

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize419.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
1.1b	(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
11.2b	(quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

40.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
40.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
109.0ms	(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)

simplify4.8s

Counts

57 → 57

Iterations

Iter	Nodes
done	5029
4	3303
3	859
2	154
1	68
0	44

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize387.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.6b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
1.1b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

rewrite550.0ms

Algorithm

rewrite-expression-head

Rules

68×	`p16-lft-identity-expand` `p16--un-lft-identity`
54×	`p16-times-frac`
53×	`*p16-rgt-identity-expand`
40×	`distribute-lft-out--`
21×	`*-commutative`
20×	`associate-l` `difference-of-squares`
18×	`associate-/l*`
15×	`distribute-rgt-out--`
12×	`introduce-quire`
11×	`/p16-rgt-identity-expand`
10×	`+p16-lft-identity-expand` `associate-r` `associate--l+` `+p16-rgt-identity-expand`
8×	`-p16-rgt-identity-expand`
6×	`associate-/r/`
5×	`insert-quire-fdp-sub`
4×	`p16-flip--`
3×	`associate--l-` `insert-quire-sub` `associate-/r*` `sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate--r+` `associate-/l/`
1×	`associate--r-`

Counts

4 → 155

Calls

4 calls:

39.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
37.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
127.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
339.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

simplify3.3s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
3	2363
2	477
1	126
0	66

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes518.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
0	21

end1.0ms

sample31.4s

Algorithm: halfpoints