Details

Time bar (total: 20.8s)

sample115.0ms

Algorithm
halfpoints

simplify358.0ms

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

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize186.0ms

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))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
11×introduce-quire
9×-p16-rgt-identity-expand
8×associate-+r+ +p16-lft-identity-expand +p16-rgt-identity-expand
6×insert-quire-add insert-quire-fdp-add
5×associate-+l-
4×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate-+l+ associate-+r- associate-*l*
2×distribute-rgt-in +-commutative distribute-lft-in
1×associate-*l/ *-commutative
Counts
3 → 56
Calls
3 calls:
8.0ms
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
8.0ms
(+.p16 (+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
18.0ms
(+.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))

simplify6.6s

Counts
59 → 59
Iterations
IterNodes
done5772
42493
3563
2166
173
043

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize243.0ms

Local error

Found 2 expressions with local error:

6.5b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))
12.8b
(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))
1.0ms
(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)

simplify11.0ms

Counts
2 → 2
Iterations
IterNodes
done14
114
012

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize266.0ms

Local error

Found 2 expressions with local error:

0.3b
(+.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
12.8b
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-+r+
5×+p16-lft-identity-expand +p16-rgt-identity-expand
3×-p16-rgt-identity-expand
2×distribute-rgt-in associate-+l+ distribute-lft-in
1×+-commutative associate-+r- *p16-lft-identity-expand insert-quire-add introduce-quire /p16-rgt-identity-expand insert-quire-fdp-add *p16-rgt-identity-expand associate-+l- p16-*-un-lft-identity
Counts
2 → 21
Calls
2 calls:
6.0ms
(+.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
1.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

series0.0ms

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

simplify4.2s

Counts
23 → 23
Iterations
IterNodes
done6868
4901
3171
292
142
030

prune465.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize256.0ms

Local error

Found 3 expressions with local error:

0.2b
(+.p16 (real->posit16 5) (+.p16 d3 d2))
0.3b
(*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))
11.7b
(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))) (*.p16 d1 (real->posit16 32)) (real->posit16 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×*p16-lft-identity-expand p16-*-un-lft-identity
12×associate-*r*
8×p16-distribute-lft-out *p16-rgt-identity-expand distribute-lft-out
6×introduce-quire
4×-p16-rgt-identity-expand
3×+p16-lft-identity-expand /p16-rgt-identity-expand insert-quire-fdp-add +p16-rgt-identity-expand
2×associate-+l+ distribute-rgt-out
1×distribute-rgt-in +-commutative associate-+r+ associate-+r- insert-quire-add distribute-lft-in associate-*r/ *-commutative associate-+l-
Counts
3 → 51
Calls
3 calls:
22.0ms
(+.p16 (real->posit16 5) (+.p16 d3 d2))
15.0ms
(*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))) (*.p16 d1 (real->posit16 32)) (real->posit16 1.0))

series0.0ms

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

simplify1.9s

Counts
54 → 54
Iterations
IterNodes
done5001
42291
3457
2126
156
030

prune828.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
013

end0.0ms

sample3.0s

Algorithm
halfpoints