Details

Time bar (total: 59.1s)

sample154.0ms

Algorithm
halfpoints

simplify53.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
226
119
012

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize164.0ms

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))
0.3b
(+.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)))

rewrite318.0ms

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:
184.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
21.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
84.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
19.0ms
(/.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)))

simplify2.0s

Counts
237 → 237
Iterations
IterNodes
done5000
31588
2266
164
041

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize220.0ms

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)))
0.3b
(+.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))))

rewrite141.0ms

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:
64.0ms
(/.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)))
48.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
16.0ms
(/.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))))

simplify1.9s

Counts
186 → 186
Iterations
IterNodes
done5000
31426
2220
154
036

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize267.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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:
10.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
94.0ms
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 1.0))
24.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha)))
19.0ms
(/.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 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha)))
0.0ms
(/.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (-.p16 beta alpha))

simplify3.7s

Counts
146 → 146
Iterations
IterNodes
done5008
41906
3656
2132
169
042

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize227.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
21×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
18×p16-times-frac
13×associate-*l*
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×associate-+l+ introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×distribute-rgt-in distribute-lft-in
4×associate-+r- sub-neg
3×associate-+r+ associate-/r* associate-*r* insert-quire-fdp-add associate-/l*
2×+-commutative associate-*r/ associate-/r/
1×insert-quire-add associate-*l/ p16-flip-- *-commutative associate-+l- associate-/l/
Counts
4 → 96
Calls
4 calls:
10.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
14.0ms
(/.p16 (real->posit16 1.0) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
10.0ms
(+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (-.p16 beta alpha)) (real->posit16 1.0))
8.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.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 alpha (+.p16 beta (real->posit16 2.0))))
0.0ms
(+.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (-.p16 beta alpha)) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (-.p16 beta alpha))

simplify38.1s

Counts
100 → 100
Iterations
IterNodes
done5002
44160
31460
2381
197
047

prune1.3s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes504.0ms

Accuracy

0% (0.4b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 0.8b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done13
013

end0.0ms

sample5.1s

Algorithm
halfpoints