Details

Time bar (total: 20.2s)

sample207.0ms

Algorithm
halfpoints

simplify1.3s

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

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize332.0ms

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))
0.8b
(/.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)))
1.9b
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))

rewrite69.0ms

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:
11.0ms
(*.p16 (*.p16 i i) (*.p16 i i))
7.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
28.0ms
(/.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)))
19.0ms
(/.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)))

simplify1.3s

Counts
158 → 158
Iterations
IterNodes
done2148
32148
2555
1141
058

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize263.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
46×p16-times-frac
28×/p16-rgt-identity-expand
26×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
23×associate-/r/
14×associate-/l*
10×associate-*l/
8×associate-/r*
4×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l/
1×p16-flip--
Counts
4 → 103
Calls
4 calls:
10.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
9.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
6.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
7.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))

series0.0ms

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

simplify1.6s

Counts
107 → 107
Iterations
IterNodes
done2027
42027
31742
2481
196
044

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

localize258.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 (/.p16 i (+.p16 (*.p16 (*.p16 (real->posit16 2) i) (real->posit16 2)) (real->posit16 2))) (real->posit16 1.0)) (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.3b
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.4b
(/.p16 i (+.p16 (*.p16 (*.p16 (real->posit16 2) i) (real->posit16 2)) (real->posit16 2)))
0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
44×p16-times-frac
27×*p16-lft-identity-expand p16-*-un-lft-identity
26×/p16-rgt-identity-expand *p16-rgt-identity-expand
23×associate-*r*
21×associate-/r/
12×associate-*l/
10×associate-/r*
7×associate-/l*
6×+p16-lft-identity-expand +p16-rgt-identity-expand
4×introduce-quire -p16-rgt-identity-expand
2×distribute-rgt-in distribute-lft-in distribute-rgt-out associate-*r/ p16-flip-- associate-/l/
1×distribute-lft1-in associate-*l* *-commutative
Counts
4 → 108
Calls
4 calls:
7.0ms
(*.p16 (*.p16 (/.p16 i (+.p16 (*.p16 (*.p16 (real->posit16 2) i) (real->posit16 2)) (real->posit16 2))) (real->posit16 1.0)) (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
4.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.0ms
(/.p16 i (+.p16 (*.p16 (*.p16 (real->posit16 2) i) (real->posit16 2)) (real->posit16 2)))
3.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))

series0.0ms

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

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done2000
32000
21001
1164
058

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize349.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.2b
(*.p16 i (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
0.3b
(/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))
0.4b
(/.p16 (*.p16 i (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))) (+.p16 (*.p16 (*.p16 (real->posit16 2) i) (real->posit16 2)) (real->posit16 2)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×/p16-rgt-identity-expand
10×*p16-lft-identity-expand +p16-lft-identity-expand +p16-rgt-identity-expand p16-*-un-lft-identity
9×associate-/r/
8×introduce-quire *p16-rgt-identity-expand
7×associate-/r* associate-*r*
6×p16-times-frac -p16-rgt-identity-expand associate--l+
4×distribute-rgt-in distribute-lft-in distribute-rgt-out associate-*l/ associate-*r/
3×p16-flip-- insert-quire-fdp-sub
2×distribute-lft1-in associate--r+ associate-/l/
1×associate--l- insert-quire-sub sub-neg *-commutative associate-/l* associate--r-
Counts
4 → 82
Calls
4 calls:
3.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
5.0ms
(*.p16 i (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
17.0ms
(/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))
8.0ms
(/.p16 (*.p16 i (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))) (+.p16 (*.p16 (*.p16 (real->posit16 2) i) (real->posit16 2)) (real->posit16 2)))

series0.0ms

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

simplify1.3s

Counts
86 → 86
Iterations
IterNodes
done2009
32009
2385
1113
057

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
013

end0.0ms

sample5.3s

Algorithm
halfpoints