Details

Time bar (total: 18.6s)

sample131.0ms

Algorithm
halfpoints

simplify333.0ms

Counts
1 → 1
Iterations
IterNodes
done455
7455
6445
5367
4223
3114
241
121
013

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize175.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.3b
(+.p16 (+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
0.4b
(+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
166×*p16-lft-identity-expand p16-*-un-lft-identity
160×insert-quire-fdp-add
102×introduce-quire
84×p16-distribute-lft-out distribute-lft-out
73×associate-*l*
58×*p16-rgt-identity-expand
31×associate-*r*
30×*-commutative
20×insert-quire-add
12×associate-+l+
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×associate-+r+ distribute-rgt-out
9×-p16-rgt-identity-expand
5×associate-+l-
4×/p16-rgt-identity-expand
3×+-commutative associate-+r-
2×distribute-rgt-in distribute-lft-in
1×associate-*l/
Counts
3 → 258
Calls
3 calls:
7.0ms
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
115.0ms
(+.p16 (+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
33.0ms
(+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1))

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.0ms
(+.p16 (+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
0.0ms
(+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1))

simplify7.4s

Counts
261 → 261
Iterations
IterNodes
done5000
42933
3615
2191
1119
076

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize202.0ms

Local error

Found 2 expressions with local error:

4.7b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))
11.3b
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
Counts
2 → 0
Calls
2 calls:
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

series0.0ms

Counts
2 → 2
Calls
2 calls:
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

simplify6.0ms

Counts
2 → 2
Iterations
IterNodes
done14
114
012

prune49.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize230.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
4.7b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (*.p16 (+.p16 d3 (real->posit16 5)) d1) (real->posit16 1.0)) d1 (real->posit16 32))
14.5b
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (*.p16 (+.p16 d3 (real->posit16 5)) d1) (real->posit16 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*l*
2×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
1×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand associate-*l/ *-commutative +p16-rgt-identity-expand
Counts
3 → 13
Calls
3 calls:
7.0ms
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (*.p16 (+.p16 d3 (real->posit16 5)) d1) (real->posit16 1.0)) d1 (real->posit16 32))
1.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (*.p16 (+.p16 d3 (real->posit16 5)) d1) (real->posit16 1.0))

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (*.p16 (+.p16 d3 (real->posit16 5)) d1) (real->posit16 1.0)) d1 (real->posit16 32))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (*.p16 (+.p16 d3 (real->posit16 5)) d1) (real->posit16 1.0))

simplify24.0ms

Counts
16 → 16
Iterations
IterNodes
done31
231
123
019

prune365.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize161.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32))
0.3b
(+.p16 d3 (+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32)))
0.3b
(*.p16 (+.p16 d3 (+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32))) d1)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-+r+
13×*p16-lft-identity-expand p16-*-un-lft-identity
12×associate-+l+
10×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
8×associate-+r-
7×introduce-quire *p16-rgt-identity-expand
5×+-commutative
4×p16-distribute-lft-out /p16-rgt-identity-expand associate-+l- distribute-lft-out
3×associate-*l* insert-quire-fdp-add
1×insert-quire-add distribute-rgt-out associate-*l/ *-commutative
Counts
3 → 71
Calls
3 calls:
30.0ms
(+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32))
30.0ms
(+.p16 d3 (+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32)))
29.0ms
(*.p16 (+.p16 d3 (+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32))) d1)

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32))
0.0ms
(+.p16 d3 (+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32)))
0.0ms
(*.p16 (+.p16 d3 (+.p16 (+.p16 d2 (real->posit16 5)) (real->posit16 32))) d1)

simplify3.1s

Counts
74 → 74
Iterations
IterNodes
done5000
41193
3337
2124
160
035

prune896.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes488.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
013

end0.0ms

sample2.8s

Algorithm
halfpoints