Details

Time bar (total: 25.4s)

sample76.0ms

Algorithm
halfpoints

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
112
07

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize119.0ms

Local error

Found 2 expressions with local error:

0.1b
(sqrt.p16 (+.p16 x (real->posit16 1)))
0.9b
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×*p16-lft-identity-expand p16-*-un-lft-identity
6×introduce-quire
5×*p16-rgt-identity-expand
4×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand distribute-lft-out--
3×insert-quire-fdp-sub
2×associate--l+ /p16-rgt-identity-expand associate--r+
1×associate--l- insert-quire-sub sub-neg distribute-rgt-out-- p16-flip-- associate--r-
Counts
2 → 33
Calls
2 calls:
0.0ms
(sqrt.p16 (+.p16 x (real->posit16 1)))
5.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))

series0.0ms

Counts
2 → 2
Calls
2 calls:
0.0ms
(sqrt.p16 (+.p16 x (real->posit16 1)))
0.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))

simplify1.1s

Counts
35 → 35
Iterations
IterNodes
done2003
42003
3834
2126
137
023

prune962.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize158.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.1b
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.2b
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.9b
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
41×*p16-lft-identity-expand p16-*-un-lft-identity
19×*p16-rgt-identity-expand
16×introduce-quire
14×+p16-lft-identity-expand +p16-rgt-identity-expand
12×p16-distribute-lft-out associate-*l* -p16-rgt-identity-expand distribute-lft-out
8×associate-*r* distribute-lft-out--
6×distribute-rgt-in distribute-lft-in associate--l+ /p16-rgt-identity-expand insert-quire-fdp-add
4×associate-+l+ associate-+r+
3×sub-neg distribute-rgt-out insert-quire-fdp-sub associate--r-
2×+-commutative associate-+r- insert-quire-add distribute-rgt-out-- associate-*r/ p16-flip-- associate-+l- associate--r+
1×associate--l- insert-quire-sub associate-*l/ *-commutative
Counts
4 → 125
Calls
4 calls:
6.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
16.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
11.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
5.0ms
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.0ms
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

simplify1.1s

Counts
129 → 129
Iterations
IterNodes
done2047
32047
2600
199
042

prune4.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize340.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.1b
(*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.1b
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
0.4b
(+.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
33×*p16-lft-identity-expand p16-*-un-lft-identity
15×associate-*r* associate-*l* *p16-rgt-identity-expand
12×p16-distribute-lft-out +p16-lft-identity-expand +p16-rgt-identity-expand distribute-lft-out
10×introduce-quire
8×associate-+l+ -p16-rgt-identity-expand /p16-rgt-identity-expand
6×distribute-rgt-in associate-+r+ distribute-lft-in
4×insert-quire-fdp-add
3×distribute-rgt-out
2×+-commutative associate-+r- insert-quire-add associate-*l/ associate-*r/ *-commutative associate-+l-
Counts
4 → 109
Calls
4 calls:
6.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
7.0ms
(*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
8.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
7.0ms
(+.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.0ms
(*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
0.0ms
(+.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
done2004
32004
2627
1101
047

prune4.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize281.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
0.2b
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (neg.p16 (sqrt.p16 x)))
0.2b
(*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))
0.4b
(+.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (neg.p16 (sqrt.p16 x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×*p16-lft-identity-expand p16-*-un-lft-identity
18×associate-*l*
13×+p16-lft-identity-expand *p16-rgt-identity-expand +p16-rgt-identity-expand
10×/p16-rgt-identity-expand
9×introduce-quire associate-*r*
8×distribute-rgt-in distribute-lft-in -p16-rgt-identity-expand
6×associate-+l+
4×associate-+r- p16-distribute-lft-out insert-quire-fdp-add distribute-lft-out
3×associate-*l/ associate-*r/ *-commutative
2×distribute-rgt-out associate-+l-
1×+-commutative associate-+r+ insert-quire-add
Counts
4 → 97
Calls
4 calls:
4.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
2.0ms
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (neg.p16 (sqrt.p16 x)))
2.0ms
(*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))
13.0ms
(+.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (neg.p16 (sqrt.p16 x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
0.0ms
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (neg.p16 (sqrt.p16 x)))
0.0ms
(*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))
0.0ms
(+.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (neg.p16 (sqrt.p16 x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))))

simplify4.2s

Counts
101 → 101
Iterations
IterNodes
done2015
32015
2342
197
044

prune4.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

regimes189.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample2.1s

Algorithm
halfpoints