Details

Time bar (total: 1.1m)

sample1.4s

Algorithm
halfpoints

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5009
43444
3563
2106
134
015

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize264.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×associate--l+
7×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
5×distribute-rgt-in sub-neg *p16-lft-identity-expand distribute-lft-in associate-*l/ p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate-*r/
3×associate--l- insert-quire-sub associate-*r*
1×associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
67.0ms
(*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
57.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
54.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
54.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

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

simplify3.8s

Counts
75 → 75
Iterations
IterNodes
done5000
34167
2533
1143
062

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize284.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
17×+p16-lft-identity-expand +p16-rgt-identity-expand
14×associate--l+
13×associate-*l*
11×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
8×/p16-rgt-identity-expand
7×sub-neg introduce-quire -p16-rgt-identity-expand associate-*r/
5×p16-flip--
3×associate--l- insert-quire-sub associate-*l/
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 95
Calls
4 calls:
18.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)))
34.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
34.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
65.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

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

simplify10.6s

Counts
99 → 99
Iterations
IterNodes
done5020
34975
2755
1225
086

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize392.0ms

Local error

Found 4 expressions with local error:

0.4b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.9b
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
13×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
12×p16-times-frac
10×+p16-lft-identity-expand associate--l+ +p16-rgt-identity-expand
8×introduce-quire -p16-rgt-identity-expand
6×/p16-rgt-identity-expand
5×difference-of-squares
4×p16-flip-- associate-/l*
3×associate--l- insert-quire-sub associate-/r* sub-neg
2×distribute-rgt-in distribute-lft-in associate--r+ associate-/l/
1×associate-/r/ insert-quire-fdp-sub associate--r-
Counts
4 → 81
Calls
4 calls:
7.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
46.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
34.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
114.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

series0.0ms

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

simplify3.3s

Counts
85 → 85
Iterations
IterNodes
done5048
32554
2478
1124
065

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize498.0ms

Local error

Found 4 expressions with local error:

0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.6b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
1.1b
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand associate--l+ +p16-rgt-identity-expand
9×/p16-rgt-identity-expand
8×introduce-quire -p16-rgt-identity-expand
7×associate-*r/ associate-/l/
6×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
5×p16-flip--
3×associate--l- insert-quire-sub associate-/r* sub-neg p16-times-frac associate-*l/
2×distribute-rgt-in distribute-lft-in associate--r+
1×associate-/r/ insert-quire-fdp-sub associate-/l* associate--r- difference-of-squares
Counts
4 → 74
Calls
4 calls:
33.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
35.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
4.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
111.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

series0.0ms

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

simplify6.0s

Counts
78 → 78
Iterations
IterNodes
done5070
33751
2722
1154
066

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes535.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done19
019

end0.0ms

sample29.2s

Algorithm
halfpoints