Details

Time bar (total: 55.7s)

sample289.0ms

Algorithm
halfpoints

simplify52.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
226
119
012

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize280.0ms

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

rewrite284.0ms

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:
148.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
17.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
85.0ms
(+.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)))

simplify1.9s

Counts
237 → 237
Iterations
IterNodes
done2004
42004
31588
2266
164
041

prune12.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize188.0ms

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

rewrite73.0ms

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:
34.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
5.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
24.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
7.0ms
(/.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))))

simplify1.0s

Counts
186 → 186
Iterations
IterNodes
done2201
42201
31426
2220
154
036

prune8.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize320.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 2.0)) (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))))
0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.4b
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))))
0.7b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
134×*p16-lft-identity-expand p16-*-un-lft-identity
82×*p16-rgt-identity-expand
81×p16-times-frac
49×introduce-quire
44×p16-distribute-lft-out distribute-lft-out
43×insert-quire-fdp-add
23×associate-*r*
20×distribute-rgt-out
17×/p16-rgt-identity-expand
13×associate-*l*
12×associate-/r*
11×associate-/r/
8×-p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
4×associate-+r+ distribute-rgt1-in
3×associate-+l+ associate-/l*
2×+-commutative associate-+r- insert-quire-add associate-+l- associate-/l/
1×distribute-rgt-in distribute-lft-in associate-*l/ associate-*r/ p16-flip-- *-commutative
Counts
4 → 214
Calls
4 calls:
70.0ms
(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 2.0)) (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))))
17.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
81.0ms
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))))
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 (real->posit16 1.0) (real->posit16 2.0)) (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))))
0.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify1.6s

Counts
218 → 218
Iterations
IterNodes
done2024
32024
2576
1119
051

prune10.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize337.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.3b
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha)))
0.4b
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 1.0))
0.6b
(/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
87×p16-times-frac
67×*p16-lft-identity-expand p16-*-un-lft-identity
65×*p16-rgt-identity-expand
17×associate-/r*
11×associate-/r/ /p16-rgt-identity-expand
8×introduce-quire -p16-rgt-identity-expand
6×p16-distribute-lft-out +p16-lft-identity-expand +p16-rgt-identity-expand distribute-lft-out associate-/l*
5×p16-flip--
4×associate-+r-
3×associate-+r+ distribute-rgt-out insert-quire-fdp-add
2×+-commutative associate-+l+ associate-/l/
1×insert-quire-add distribute-lft1-in associate-+l-
Counts
4 → 142
Calls
4 calls:
9.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
23.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha)))
42.0ms
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 1.0))
15.0ms
(/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))

series0.0ms

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

simplify3.6s

Counts
146 → 146
Iterations
IterNodes
done2001
52001
41814
3696
2136
169
042

prune7.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.4b

regimes737.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
013

end1.0ms

sample6.3s

Algorithm
halfpoints