Details

Time bar (total: 59.3s)

sample220.0ms

Algorithm
halfpoints

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
226
119
012

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize172.0ms

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)))

rewrite216.0ms

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:
151.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
10.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
37.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
14.0ms
(/.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)))

simplify1.5s

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

prune9.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize166.0ms

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))))

rewrite65.0ms

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:
35.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
4.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
17.0ms
(+.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))))

simplify1.2s

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

prune9.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize215.0ms

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))

rewrite148.0ms

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:
9.0ms
(+.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)))
88.0ms
(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
28.0ms
(/.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))

simplify2.7s

Counts
305 → 305
Iterations
IterNodes
done2012
52012
41903
3703
2167
179
047

prune15.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.4b

localize286.0ms

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

rewrite77.0ms

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-*r*
32×p16-distribute-lft-out distribute-lft-out
12×associate-/r* introduce-quire
11×+p16-lft-identity-expand +p16-rgt-identity-expand
8×distribute-rgt-out -p16-rgt-identity-expand /p16-rgt-identity-expand
7×associate-+l+
6×insert-quire-fdp-add
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×associate-*l* associate-/l*
2×+-commutative associate-+r- insert-quire-add associate-*l/ associate-/r/ associate-+l-
1×associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 170
Calls
4 calls:
22.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
26.0ms
(/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
6.0ms
(+.p16 (*.p16 (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))) (real->posit16 1.0))
17.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))))

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 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))))

simplify1.9s

Counts
174 → 174
Iterations
IterNodes
done2014
42014
3970
2401
183
045

prune10.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.4b

regimes766.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done13
013

end0.0ms

sample5.7s

Algorithm
halfpoints