Details

Time bar (total: 24.3s)

sample100.0ms

Algorithm
halfpoints

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
112
07

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize152.0ms

Local error

Found 2 expressions with local error:

0.1b
(sqrt.p16 (+.p16 x (real->posit16 1)))
0.8b
(-.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))

simplify1.2s

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

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize177.0ms

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))
0.3b
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.8b
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

rewrite16.0ms

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:
3.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
3.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
5.0ms
(*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
3.0ms
(-.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))

simplify932.0ms

Counts
129 → 129
Iterations
IterNodes
done2047
32047
2600
199
042

prune3.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize334.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
0.1b
(/.p16 (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.1b
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.6b
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
81×*p16-lft-identity-expand p16-*-un-lft-identity
48×p16-times-frac
39×*p16-rgt-identity-expand
28×p16-distribute-lft-out distribute-lft-out
21×distribute-rgt-out
12×associate-/r* associate-*r*
10×introduce-quire
8×+p16-lft-identity-expand -p16-rgt-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
6×associate-+l+ associate-+r+
4×insert-quire-fdp-add associate-/l*
3×distribute-rgt-in distribute-lft-in associate-*l*
2×+-commutative associate-+r- insert-quire-add associate-+l-
1×associate-*l/ associate-*r/ associate-/r/ *-commutative associate-/l/
Counts
4 → 152
Calls
4 calls:
6.0ms
(+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))
10.0ms
(/.p16 (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
7.0ms
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
6.0ms
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 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 (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.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)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.0ms
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) (*.p16 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))

simplify1.6s

Counts
156 → 156
Iterations
IterNodes
done2008
32008
2439
196
053

prune5.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize344.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (neg.p16 (sqrt.p16 x)) (sqrt.p16 x))
0.2b
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))
0.5b
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))) (*.p16 (neg.p16 (sqrt.p16 x)) (sqrt.p16 x)))
0.8b
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
47×*p16-lft-identity-expand p16-*-un-lft-identity
35×associate-*r*
21×*p16-rgt-identity-expand
20×distribute-lft-out--
14×p16-distribute-lft-out distribute-lft-out
12×+p16-lft-identity-expand +p16-rgt-identity-expand
10×introduce-quire
8×-p16-rgt-identity-expand /p16-rgt-identity-expand
6×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l*
5×distribute-rgt-out--
4×associate-+l+
3×insert-quire-fdp-sub
2×associate-*l/ associate--l+ associate-*r/ *-commutative associate--r+
1×associate--l- +-commutative insert-quire-sub associate-+r- sub-neg insert-quire-add distribute-rgt-out p16-flip-- insert-quire-fdp-add associate-+l- associate--r-
Counts
4 → 117
Calls
4 calls:
4.0ms
(*.p16 (neg.p16 (sqrt.p16 x)) (sqrt.p16 x))
14.0ms
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))
6.0ms
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.p16 (sqrt.p16 x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))) (*.p16 (neg.p16 (sqrt.p16 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 (neg.p16 (sqrt.p16 x)) (sqrt.p16 x))
0.0ms
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (+.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)) (+.p16 (sqrt.p16 x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))) (*.p16 (neg.p16 (sqrt.p16 x)) (sqrt.p16 x)))
0.0ms
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

simplify1.6s

Counts
121 → 121
Iterations
IterNodes
done2017
32017
2537
199
052

prune5.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.4b

regimes167.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample1.8s

Algorithm
halfpoints