Details

Time bar (total: 18.3s)

sample380.0ms

Algorithm
halfpoints

simplify463.0ms

Counts
1 → 1
Iterations
IterNodes
done2004
3490
2109
139
018

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize439.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.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))
0.6b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

rewrite238.0ms

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:
42.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
77.0ms
(/.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))))
9.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
92.0ms
(/.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))))

simplify725.0ms

Counts
410 → 410
Iterations
IterNodes
done2013
2517
1116
055

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize528.0ms

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))))
0.6b
(/.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))))
5.7b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
11.0b
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

rewrite499.0ms

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:
47.0ms
(/.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))))
448.0ms
(/.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))
1.0ms
(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)

simplify760.0ms

Counts
94 → 94
Iterations
IterNodes
done2002
31302
2271
174
039

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize518.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.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 (+.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))))
5.7b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
11.0b
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
402×p16-times-frac
194×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
46×associate-/l*
18×associate-/r/
17×/p16-rgt-identity-expand
6×associate-/r*
2×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l/
Counts
4 → 210
Calls
4 calls:
31.0ms
(/.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.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))))
22.0ms
(/.p16 (+.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 (real->posit16 1.0) (/.p16 (+.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 (+.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)

simplify759.0ms

Counts
214 → 214
Iterations
IterNodes
done2003
31058
2339
1100
049

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize373.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.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 beta (+.p16 (*.p16 (real->posit16 2) (real->posit16 1)) alpha)))
0.6b
(/.p16 (+.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))))
5.7b
(quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))
11.0b
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
402×p16-times-frac
194×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
46×associate-/l*
18×associate-/r/
17×/p16-rgt-identity-expand
6×associate-/r*
2×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l/
Counts
4 → 210
Calls
4 calls:
35.0ms
(/.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.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 beta (+.p16 (*.p16 (real->posit16 2) (real->posit16 1)) alpha)))
24.0ms
(/.p16 (+.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))
1.0ms
(quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha)

series0.0ms

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

simplify867.0ms

Counts
214 → 214
Iterations
IterNodes
done2003
31324
2360
1115
057

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes479.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
022

end0.0ms

sample5.1s

Algorithm
halfpoints