Details

Time bar (total: 18.5s)

sample310.0ms

Algorithm
halfpoints

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2016
52016
41467
3322
288
132
012

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize162.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.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))
0.7b
(/.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)))
2.0b
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))

rewrite38.0ms

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:
7.0ms
(*.p16 (*.p16 i i) (*.p16 i i))
3.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
10.0ms
(/.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)))
16.0ms
(/.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)))

simplify1.7s

Counts
158 → 158
Iterations
IterNodes
done2148
32148
2555
1141
058

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize176.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))
0.1b
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
0.2b
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.7b
(/.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)))

rewrite16.0ms

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:
3.0ms
(*.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))
5.0ms
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
3.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
4.0ms
(/.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 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))
0.0ms
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
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)))

simplify2.6s

Counts
102 → 102
Iterations
IterNodes
done2097
32097
2523
1125
053

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize220.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.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))))
0.3b
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

rewrite18.0ms

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))
6.0ms
(*.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))))
4.0ms
(/.p16 (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
5.0ms
(/.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)))

simplify986.0ms

Counts
131 → 131
Iterations
IterNodes
done2006
32006
2614
1155
059

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize266.0ms

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 (real->posit16 1.0) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))))
0.3b
(/.p16 (real->posit16 1.0) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0)))))
0.3b
(/.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 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
216×p16-times-frac
120×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
52×associate-*r*
44×associate-/r/
23×associate-/r*
16×associate-*l*
10×associate-/l*
8×/p16-rgt-identity-expand
6×+p16-lft-identity-expand +p16-rgt-identity-expand
4×introduce-quire -p16-rgt-identity-expand associate-/l/
2×distribute-rgt-in distribute-lft-in
1×associate-*l/ associate-*r/ p16-flip-- *-commutative
Counts
4 → 219
Calls
4 calls:
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 (real->posit16 1.0) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))))
3.0ms
(/.p16 (real->posit16 1.0) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0)))))
5.0ms
(/.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 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (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 (real->posit16 1.0) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))))
0.0ms
(/.p16 (real->posit16 1.0) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (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 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (/.p16 (real->posit16 2) (real->posit16 1.0))))

simplify1.1s

Counts
223 → 223
Iterations
IterNodes
done2002
32002
2694
1188
064

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
015

end0.0ms

sample4.2s

Algorithm
halfpoints