Details

Time bar (total: 59.6s)

sample184.0ms

Algorithm
halfpoints

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
428
328
226
119
012

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize203.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
151×*p16-lft-identity-expand p16-*-un-lft-identity
111×*p16-rgt-identity-expand
105×p16-times-frac
50×p16-distribute-lft-out distribute-lft-out
35×distribute-rgt-out
28×/p16-rgt-identity-expand
26×associate-/l*
22×associate-/r/
15×associate-/r*
12×introduce-quire
10×distribute-lft1-in
8×-p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×insert-quire-fdp-add
4×associate-+r+
3×associate-+l+ associate-/l/
2×+-commutative associate-+r- insert-quire-add associate-+l-
1×p16-flip--
Counts
4 → 233
Calls
4 calls:
77.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
9.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
63.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
30.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify6.6s

Counts
237 → 237
Iterations
IterNodes
47306
31581
2265
164
041

prune10.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize217.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.2b
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
101×*p16-lft-identity-expand p16-*-un-lft-identity
91×*p16-rgt-identity-expand
78×p16-times-frac
30×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
28×/p16-rgt-identity-expand
26×associate-/l*
22×associate-/r/
10×distribute-lft1-in
8×introduce-quire -p16-rgt-identity-expand
6×associate-/r* +p16-lft-identity-expand +p16-rgt-identity-expand
4×associate-+r-
3×associate-+r+ insert-quire-fdp-add associate-/l/
2×+-commutative associate-+l+
1×insert-quire-add p16-flip-- associate-+l-
Counts
4 → 182
Calls
4 calls:
68.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
9.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
36.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
20.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

simplify6.6s

Counts
186 → 186
Iterations
IterNodes
46967
31425
2220
154
036

prune7.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize220.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha)))) (real->posit16 2.0))
0.2b
(+.p16 beta (+.p16 (real->posit16 2.0) alpha))
0.4b
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha))))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
107×*p16-lft-identity-expand p16-*-un-lft-identity
97×*p16-rgt-identity-expand
87×p16-times-frac
30×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
29×/p16-rgt-identity-expand
26×associate-/l*
23×associate-/r/
18×introduce-quire
13×insert-quire-fdp-add
10×distribute-rgt1-in
8×-p16-rgt-identity-expand
6×associate-/r* +p16-lft-identity-expand +p16-rgt-identity-expand
3×associate-+r+ associate-+r- associate-/l/
2×+-commutative associate-+l+ associate-+l-
1×insert-quire-add p16-flip--
Counts
4 → 192
Calls
4 calls:
55.0ms
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha)))) (real->posit16 2.0))
9.0ms
(+.p16 beta (+.p16 (real->posit16 2.0) alpha))
33.0ms
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha))))
8.0ms
(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha)))) (real->posit16 2.0))
0.0ms
(+.p16 beta (+.p16 (real->posit16 2.0) alpha))
0.0ms
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 (real->posit16 2.0) alpha)))

simplify4.5s

Counts
196 → 196
Iterations
IterNodes
45197
31363
2223
166
045

prune7.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize293.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 2.0))
0.1b
(+.p16 (+.p16 beta alpha) (real->posit16 2.0))
0.2b
(/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
15.3b
(quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
69×*p16-lft-identity-expand p16-*-un-lft-identity
45×p16-times-frac
39×*p16-rgt-identity-expand
20×p16-distribute-lft-out distribute-lft-out
15×associate-/r*
7×introduce-quire /p16-rgt-identity-expand
6×associate-/l*
5×distribute-rgt-out -p16-rgt-identity-expand
4×+p16-lft-identity-expand +p16-rgt-identity-expand
3×insert-quire-fdp-add
2×associate-+r+ associate-/r/ associate-/l/
1×+-commutative associate-+l+ associate-+r- insert-quire-add associate-+l-
Counts
4 → 113
Calls
4 calls:
3.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 2.0))
16.0ms
(+.p16 (+.p16 beta alpha) (real->posit16 2.0))
40.0ms
(/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
1.0ms
(quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 beta alpha) (real->posit16 2.0))
0.0ms
(/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.0ms
(quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))

simplify2.3s

Counts
117 → 117
Iterations
IterNodes
62198
51394
4890
3377
2139
146
033

prune6.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

regimes376.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
114
014

end0.0ms

sample5.1s

Algorithm
halfpoints