Details

Time bar (total: 15.7s)

sample158.0ms

Algorithm
halfpoints

simplify364.0ms

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

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize283.0ms

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))

rewrite25.0ms

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:
7.0ms
(*.p16 (+.p16 d3 (real->posit16 5)) d1)
9.0ms
(+.p16 (+.p16 (*.p16 d1 d2) (*.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
7.0ms
(+.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))

simplify3.3s

Counts
59 → 59
Iterations
IterNodes
done2020
42020
3563
2166
173
043

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize279.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.p16 d1 (+.p16 (+.p16 d2 (real->posit16 5)) d3))
0.3b
(+.p16 (+.p16 d2 (real->posit16 5)) d3)
3.9b
(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (+.p16 d2 (real->posit16 5)) d3))) d1 (real->posit16 32))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
4×-p16-rgt-identity-expand
3×*p16-lft-identity-expand introduce-quire associate-*r* /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
2×+p16-lft-identity-expand associate-+l- +p16-rgt-identity-expand
1×distribute-rgt-in +-commutative associate-+l+ associate-+r- insert-quire-add distribute-lft-in associate-*r/ *-commutative
Counts
3 → 28
Calls
3 calls:
13.0ms
(*.p16 d1 (+.p16 (+.p16 d2 (real->posit16 5)) d3))
14.0ms
(+.p16 (+.p16 d2 (real->posit16 5)) d3)
1.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (+.p16 d2 (real->posit16 5)) d3))) d1 (real->posit16 32))

series0.0ms

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

simplify1.9s

Counts
31 → 31
Iterations
IterNodes
done2136
82136
71430
6588
5250
4158
3122
280
147
027

prune633.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize211.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.p16 d1 (+.p16 d2 (real->posit16 5)))
0.4b
(+.p16 (*.p16 d1 (+.p16 d2 (real->posit16 5))) (*.p16 d1 d3))
3.9b
(quire16-mul-add (posit16->quire16 (+.p16 (*.p16 d1 (+.p16 d2 (real->posit16 5))) (*.p16 d1 d3))) d1 (real->posit16 32))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-+l+ +p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
3×*p16-lft-identity-expand associate-*r* /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
2×distribute-rgt-in associate-+r+ distribute-lft-in
1×+-commutative associate-+r- insert-quire-add p16-distribute-lft-out associate-*r/ *-commutative insert-quire-fdp-add associate-+l- distribute-lft-out
Counts
3 → 36
Calls
3 calls:
3.0ms
(*.p16 d1 (+.p16 d2 (real->posit16 5)))
3.0ms
(+.p16 (*.p16 d1 (+.p16 d2 (real->posit16 5))) (*.p16 d1 d3))
0.0ms
(quire16-mul-add (posit16->quire16 (+.p16 (*.p16 d1 (+.p16 d2 (real->posit16 5))) (*.p16 d1 d3))) d1 (real->posit16 32))

series0.0ms

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

simplify917.0ms

Counts
39 → 39
Iterations
IterNodes
done2001
62001
51557
4345
3159
276
146
028

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize183.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.p16 d1 (+.p16 d2 (+.p16 (real->posit16 5) d3)))
0.3b
(+.p16 d2 (+.p16 (real->posit16 5) d3))
3.9b
(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 d2 (+.p16 (real->posit16 5) d3)))) d1 (real->posit16 32))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×-p16-rgt-identity-expand
3×*p16-lft-identity-expand associate-*r* /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
2×associate-+r- +p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
1×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in associate-*r/ *-commutative associate-+l-
Counts
3 → 27
Calls
3 calls:
5.0ms
(*.p16 d1 (+.p16 d2 (+.p16 (real->posit16 5) d3)))
5.0ms
(+.p16 d2 (+.p16 (real->posit16 5) d3))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 d2 (+.p16 (real->posit16 5) d3)))) d1 (real->posit16 32))

series0.0ms

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

simplify47.0ms

Counts
30 → 30
Iterations
IterNodes
done73
473
367
251
134
020

prune750.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes517.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
014

end0.0ms

sample3.2s

Algorithm
halfpoints