Details

Time bar (total: 37.3s)

sample842.0ms

Algorithm
halfpoints

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2003
42003
3418
293
135
019

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize447.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.3b
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
0.5b
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.8b
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

rewrite517.0ms

Algorithm
rewrite-expression-head
Rules
126×p16-times-frac
117×*p16-lft-identity-expand p16-*-un-lft-identity
67×*p16-rgt-identity-expand
38×p16-distribute-lft-out distribute-lft-out
26×/p16-rgt-identity-expand
19×associate-/r/
15×associate-/r*
14×distribute-rgt-out
10×introduce-quire
8×-p16-rgt-identity-expand associate-/l*
7×+p16-lft-identity-expand +p16-rgt-identity-expand
5×associate-/l/
4×associate-+r+ insert-quire-fdp-add
3×associate-+l+
2×+-commutative associate-+r- insert-quire-add distribute-lft1-in associate-*r/ associate-+l-
1×associate-*l/ p16-flip--
Counts
4 → 188
Calls
4 calls:
16.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
332.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
135.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
27.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

simplify1.3s

Counts
192 → 192
Iterations
IterNodes
done2000
32000
2461
1118
060

prune2.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.4b

localize462.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha)))
0.3b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha)))) (real->posit16 1.0))
0.5b
(/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha))
0.6b
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
122×*p16-lft-identity-expand p16-*-un-lft-identity
103×p16-times-frac
78×*p16-rgt-identity-expand
41×associate-*r*
34×p16-distribute-lft-out distribute-lft-out
25×associate-/l*
20×/p16-rgt-identity-expand
17×associate-/r/
16×distribute-rgt-out
8×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
6×-p16-rgt-identity-expand associate-*l/
4×associate-/r*
3×distribute-lft1-in associate-*l* insert-quire-fdp-add
2×distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in associate-*r/ p16-flip-- associate-/l/
1×+-commutative associate-+r- insert-quire-add *-commutative associate-+l-
Counts
4 → 203
Calls
4 calls:
64.0ms
(*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha)))
23.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha)))) (real->posit16 1.0))
100.0ms
(/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha))
10.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha)))
0.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha)))) (real->posit16 1.0))
0.0ms
(/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha))
0.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (-.p16 beta alpha))))

simplify1.4s

Counts
207 → 207
Iterations
IterNodes
done2004
32004
2735
1146
062

prune2.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.4b

localize580.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))
0.3b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))) (real->posit16 1.0))
0.6b
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0))))
0.6b
(*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
82×*p16-lft-identity-expand p16-*-un-lft-identity
76×p16-times-frac
62×*p16-rgt-identity-expand
54×associate-*r*
26×associate-/r/ /p16-rgt-identity-expand
21×associate-*l/
18×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
13×associate-/l*
10×+p16-lft-identity-expand +p16-rgt-identity-expand
9×associate-*r/
8×introduce-quire
6×-p16-rgt-identity-expand
5×distribute-lft1-in
4×distribute-rgt-in distribute-lft-in associate-*l*
3×insert-quire-fdp-add
2×associate-+l+ associate-+r+ *-commutative
1×+-commutative associate-+r- associate-/r* insert-quire-add p16-flip-- associate-+l- associate-/l/
Counts
4 → 182
Calls
4 calls:
66.0ms
(*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))
27.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))) (real->posit16 1.0))
14.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0))))
26.0ms
(*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))
0.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))) (real->posit16 1.0))
0.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0))))
0.0ms
(*.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

simplify1.4s

Counts
186 → 186
Iterations
IterNodes
done2007
32007
21040
1189
065

prune2.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize699.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))
0.3b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))) (real->posit16 1.0))
0.6b
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0))))
0.6b
(*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
82×*p16-lft-identity-expand p16-*-un-lft-identity
76×p16-times-frac
62×*p16-rgt-identity-expand
54×associate-*r*
26×associate-/r/ /p16-rgt-identity-expand
21×associate-*l/
18×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
13×associate-/l*
10×+p16-lft-identity-expand +p16-rgt-identity-expand
9×associate-*r/
8×introduce-quire
6×-p16-rgt-identity-expand
5×distribute-lft1-in
4×distribute-rgt-in distribute-lft-in associate-*l*
3×insert-quire-fdp-add
2×associate-+l+ associate-+r+ *-commutative
1×+-commutative associate-+r- associate-/r* insert-quire-add p16-flip-- associate-+l- associate-/l/
Counts
4 → 182
Calls
4 calls:
59.0ms
(*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))
29.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))) (real->posit16 1.0))
7.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0))))
6.0ms
(*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))
0.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0)))) (real->posit16 1.0))
0.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (real->posit16 1.0)) (*.p16 (*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)) (real->posit16 1.0))))
0.0ms
(*.p16 (+.p16 beta (+.p16 alpha (*.p16 (real->posit16 2) i))) (/.p16 (real->posit16 1.0) (-.p16 beta alpha)))

simplify1.4s

Counts
186 → 186
Iterations
IterNodes
done2017
32017
2864
1187
069

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.4b

regimes1.6s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done26
026

end0.0ms

sample16.3s

Algorithm
halfpoints