Details

Time bar (total: 20.0s)

sample262.0ms

Algorithm
halfpoints

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
226
119
012

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize249.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.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))
0.7b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite237.0ms

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:
116.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
8.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
81.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
28.0ms
(/.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)))

simplify1.4s

Counts
237 → 237
Iterations
IterNodes
done2002
31588
2266
164
041

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize239.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.3b
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
0.4b
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
303×p16-times-frac
276×*p16-lft-identity-expand p16-*-un-lft-identity
172×*p16-rgt-identity-expand
74×p16-distribute-lft-out distribute-lft-out
44×associate-/r*
20×distribute-rgt-out
15×associate-/l*
12×introduce-quire
11×associate-/r/ /p16-rgt-identity-expand
8×-p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×insert-quire-fdp-add
5×p16-flip--
4×associate-+r+
3×associate-+l+
2×+-commutative associate-+r- insert-quire-add associate-+l- associate-/l/
1×distribute-lft1-in
Counts
4 → 301
Calls
4 calls:
8.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
16.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
59.0ms
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
15.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

series0.0ms

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

simplify1.6s

Counts
305 → 305
Iterations
IterNodes
done2002
41903
3703
2167
179
047

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize255.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.2b
(/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.4b
(+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))
0.7b
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
104×*p16-lft-identity-expand p16-*-un-lft-identity
72×p16-times-frac
56×*p16-rgt-identity-expand
40×associate-*l*
32×p16-distribute-lft-out distribute-lft-out
12×associate-/r* introduce-quire
11×+p16-lft-identity-expand +p16-rgt-identity-expand
9×associate-+l+
8×distribute-rgt-out -p16-rgt-identity-expand /p16-rgt-identity-expand
6×distribute-rgt-in distribute-lft-in insert-quire-fdp-add
4×associate-+r+ sub-neg
3×associate-*r* associate-/l*
2×+-commutative associate-+r- insert-quire-add associate-*r/ associate-/r/ associate-+l-
1×associate-*l/ p16-flip-- *-commutative associate-/l/
Counts
4 → 174
Calls
4 calls:
17.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
26.0ms
(/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
8.0ms
(+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))
19.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha))

series0.0ms

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

simplify1.2s

Counts
178 → 178
Iterations
IterNodes
done2003
31493
2407
1106
051

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize240.0ms

Local error

Found 4 expressions with local error:

0.3b
(+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) beta) (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha)))
0.4b
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha))
0.4b
(+.p16 (+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) beta) (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha))) (real->posit16 1.0))
0.4b
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) beta)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
99×*p16-lft-identity-expand p16-*-un-lft-identity
80×associate-*l*
72×p16-times-frac
61×*p16-rgt-identity-expand
31×p16-distribute-lft-out distribute-lft-out
18×introduce-quire
14×insert-quire-fdp-add
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×-p16-rgt-identity-expand
9×distribute-rgt-out
8×associate-+r+ insert-quire-add
7×/p16-rgt-identity-expand
5×associate-+l-
4×distribute-rgt-in distribute-lft-in
3×associate-+l+ associate-+r- associate-*r*
2×+-commutative associate-*l/ associate-/r/ *-commutative
1×distribute-lft1-in associate-*r/
Counts
4 → 175
Calls
4 calls:
7.0ms
(+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) beta) (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha)))
16.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha))
9.0ms
(+.p16 (+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) beta) (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (neg.p16 alpha))) (real->posit16 1.0))
16.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) beta)

series0.0ms

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

simplify867.0ms

Counts
179 → 179
Iterations
IterNodes
done2151
3940
2330
1100
045

prune2.4s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.3b

regimes911.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done16
016

end0.0ms

sample5.3s

Algorithm
halfpoints