Details

Time bar (total: 22.9s)

sample343.0ms

Algorithm
halfpoints

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2098
42098
3490
2109
139
018

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize254.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
0.3b
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.4b
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.5b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
468×p16-times-frac
372×*p16-lft-identity-expand p16-*-un-lft-identity
338×*p16-rgt-identity-expand
102×p16-distribute-lft-out distribute-lft-out
80×associate-/l*
51×distribute-rgt-out
18×introduce-quire
17×distribute-lft1-in
14×insert-quire-fdp-add
11×/p16-rgt-identity-expand
10×-p16-rgt-identity-expand
8×insert-quire-add
6×associate-/r* +p16-lft-identity-expand associate-/r/ +p16-rgt-identity-expand
5×associate-+l-
4×associate-+r+
3×associate-+r-
2×+-commutative associate-+l+ associate-/l/
Counts
4 → 406
Calls
4 calls:
31.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
95.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
17.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
121.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

simplify811.0ms

Counts
410 → 410
Iterations
IterNodes
done2028
32028
2517
1116
055

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize403.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.5b
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.6b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
10.0b
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
84×p16-times-frac
52×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
16×associate-/l*
9×/p16-rgt-identity-expand
6×associate-/r* associate-/r/
2×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l/
Counts
4 → 90
Calls
4 calls:
44.0ms
(/.p16 (/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
29.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
0.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
0.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

simplify1.3s

Counts
94 → 94
Iterations
IterNodes
done2015
42015
31302
2271
174
039

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize622.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.6b
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))))
8.6b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
10.0b
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*l*
12×*p16-lft-identity-expand p16-times-frac *p16-rgt-identity-expand p16-*-un-lft-identity
7×/p16-rgt-identity-expand
4×+p16-lft-identity-expand +p16-rgt-identity-expand
3×associate-/r* associate-*r* associate-/l/
2×distribute-rgt-in distribute-lft-in introduce-quire -p16-rgt-identity-expand associate-*l/ associate-*r/ associate-/r/
1×*-commutative associate-/l*
Counts
4 → 50
Calls
4 calls:
26.0ms
(/.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
26.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))))
1.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
1.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(*.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))))
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
0.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

simplify1.6s

Counts
54 → 54
Iterations
IterNodes
done2025
42025
31359
2242
183
039

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize646.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))) alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.5b
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))) alpha))
8.6b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
10.0b
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
84×p16-times-frac
52×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
16×associate-/l*
9×/p16-rgt-identity-expand
6×associate-/r* associate-/r/
2×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l/
Counts
4 → 90
Calls
4 calls:
54.0ms
(/.p16 (/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))) alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
22.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))) alpha))
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
0.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

series2.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))) alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))) alpha))
0.0ms
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
0.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

simplify1.4s

Counts
94 → 94
Iterations
IterNodes
done2039
32039
2482
188
045

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes605.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done22
122
020

end0.0ms

sample7.5s

Algorithm
halfpoints