Details

Time bar (total: 16.8s)

sample220.0ms

Algorithm
halfpoints

simplify855.0ms

Counts
1 → 1
Iterations
IterNodes
done2014
41467
3322
288
132
012

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize167.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 i i) (*.p16 i i))
0.2b
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.8b
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
2.1b
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
72×p16-times-frac
55×/p16-rgt-identity-expand
47×associate-/r/
38×associate-*l/
34×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
33×difference-of-squares
20×associate-*r/
11×difference-of-sqr-1
10×+p16-lft-identity-expand +p16-rgt-identity-expand associate-/l*
8×associate-/r* introduce-quire
6×-p16-rgt-identity-expand associate--l+
4×distribute-rgt-in distribute-lft-in associate-/l/
3×insert-quire-fdp-sub
2×p16-flip-- associate--r+
1×associate--l- insert-quire-sub sub-neg associate-*r* associate-*l* *-commutative associate--r-
Counts
4 → 154
Calls
4 calls:
5.0ms
(*.p16 (*.p16 i i) (*.p16 i i))
9.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
9.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
9.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))

series0.0ms

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

simplify487.0ms

Counts
158 → 158
Iterations
IterNodes
done2080
2555
1141
058

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize228.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
0.0b
(*.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))
0.2b
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.8b
(/.p16 (*.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0)))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
12×*p16-lft-identity-expand +p16-lft-identity-expand *p16-rgt-identity-expand +p16-rgt-identity-expand p16-*-un-lft-identity
10×/p16-rgt-identity-expand
9×difference-of-squares
8×introduce-quire
7×associate-/r* p16-times-frac
6×distribute-rgt-in distribute-lft-in -p16-rgt-identity-expand associate-*l/ associate--l+
5×associate-*r* associate-*l*
4×associate-*r/ associate-/r/
3×difference-of-sqr-1 insert-quire-fdp-sub associate-/l/
2×p16-flip-- *-commutative associate--r+
1×associate--l- insert-quire-sub sub-neg associate-/l* associate--r-
Counts
4 → 98
Calls
4 calls:
10.0ms
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
5.0ms
(*.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))
16.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
8.0ms
(/.p16 (*.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0)))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

series0.0ms

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

simplify1.3s

Counts
102 → 102
Iterations
IterNodes
done2000
2511
1124
053

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize228.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
0.2b
(*.p16 (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.4b
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.4b
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
48×p16-times-frac
39×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
20×associate-/r/
17×associate-*r*
16×associate-*l*
8×+p16-lft-identity-expand introduce-quire /p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l*
6×associate-/r* -p16-rgt-identity-expand
3×p16-flip-- insert-quire-fdp-sub
2×distribute-rgt-in distribute-lft-in associate--l+ associate--r+ associate-/l/
1×associate--l- insert-quire-sub sub-neg associate-*l/ associate-*r/ *-commutative associate--r-
Counts
4 → 127
Calls
4 calls:
2.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
5.0ms
(*.p16 (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
3.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
4.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

series0.0ms

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

simplify473.0ms

Counts
131 → 131
Iterations
IterNodes
done2002
2816
1158
059

prune1.7s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize435.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0)))))
0.4b
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0))))
0.4b
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.7b
(quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×p16-times-frac
37×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
18×associate-/r/
16×associate-*r* associate-*l*
8×associate-/l*
7×/p16-rgt-identity-expand
6×associate-/r*
5×+p16-lft-identity-expand +p16-rgt-identity-expand
3×introduce-quire -p16-rgt-identity-expand
2×distribute-rgt-in distribute-lft-in associate-/l/
1×associate-*l/ associate-*r/ *-commutative
Counts
4 → 105
Calls
4 calls:
9.0ms
(*.p16 (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0)))))
4.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0))))
7.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0)))))
0.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0))))
0.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 (real->posit16 2) i)) (real->posit16 1.0) (real->posit16 1.0))

simplify742.0ms

Counts
109 → 109
Iterations
IterNodes
done2005
31377
2616
1128
049

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done15
015

end0.0ms

sample5.5s

Algorithm
halfpoints