Details

Time bar (total: 1.1m)

sample94.0ms

Algorithm
halfpoints

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
112
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize150.0ms

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))

simplify1.4s

Counts
35 → 35
Iterations
IterNodes
done5002
3834
2126
137
023

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize195.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
41×*p16-lft-identity-expand p16-*-un-lft-identity
19×*p16-rgt-identity-expand
12×associate-/r* p16-distribute-lft-out p16-times-frac associate-*l* distribute-lft-out
10×+p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
8×introduce-quire associate-*r* -p16-rgt-identity-expand distribute-lft-out--
6×distribute-rgt-in distribute-lft-in associate--l+
4×associate-*r/ associate-/l/
3×sub-neg distribute-rgt-out p16-flip-- insert-quire-fdp-sub associate--r-
2×distribute-rgt-out-- associate-*l/ associate--r+
1×associate--l- insert-quire-sub associate-/r/ *-commutative associate-/l*
Counts
4 → 115
Calls
4 calls:
0.0ms
(sqrt.p16 (+.p16 (real->posit16 1) x))
13.0ms
(/.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (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)))
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)))
4.0ms
(-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))

series0.0ms

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

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5001
2787
1108
046

prune783.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize265.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
53×*p16-lft-identity-expand p16-*-un-lft-identity
36×p16-times-frac
29×*p16-rgt-identity-expand
16×p16-distribute-lft-out distribute-lft-out
12×associate-/r*
8×+p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-+l+ introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
4×associate-+r+ distribute-rgt-out
3×distribute-rgt-in distribute-lft-in associate-/l*
1×+-commutative associate-+r- insert-quire-add associate-/r/ insert-quire-fdp-add associate-+l- associate-/l/
Counts
4 → 100
Calls
4 calls:
0.0ms
(sqrt.p16 (+.p16 (real->posit16 1) x))
0.0ms
(sqrt.p16 (+.p16 (real->posit16 1) x))
9.0ms
(/.p16 (+.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)))) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
6.0ms
(+.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
(sqrt.p16 (+.p16 (real->posit16 1) x))
0.0ms
(sqrt.p16 (+.p16 (real->posit16 1) x))
0.0ms
(/.p16 (+.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)))) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (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 (neg.p16 (sqrt.p16 x)) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))))

simplify3.1s

Counts
104 → 104
Iterations
IterNodes
done5037
31966
2221
182
041

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize231.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.p16 (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
0.1b
(*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))
0.3b
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
0.3b
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
57×*p16-lft-identity-expand p16-*-un-lft-identity
36×p16-times-frac
33×*p16-rgt-identity-expand
16×p16-distribute-lft-out distribute-lft-out
14×+p16-lft-identity-expand +p16-rgt-identity-expand
12×associate-/r*
10×/p16-rgt-identity-expand
8×distribute-rgt-in distribute-lft-in
6×associate-+l+ associate-+r+ introduce-quire associate-*r* associate-*l* -p16-rgt-identity-expand
4×distribute-rgt-out
3×associate-/l*
2×associate-*l/ associate-*r/ *-commutative
1×+-commutative associate-+r- insert-quire-add associate-/r/ insert-quire-fdp-add associate-+l- sqrt-sqrd.p16 associate-/l/
Counts
4 → 129
Calls
4 calls:
7.0ms
(/.p16 (+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)))
2.0ms
(*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x)))
2.0ms
(*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 (+.p16 (real->posit16 1) x)))
5.0ms
(+.p16 (*.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 (+.p16 (real->posit16 1) x))) (*.p16 (sqrt.p16 x) (neg.p16 (sqrt.p16 x))))

series0.0ms

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

simplify56.0s

Counts
133 → 133
Iterations
IterNodes
done5008
3758
2256
171
045

prune677.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes123.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample1.2s

Algorithm
halfpoints