Details

Time bar (total: 55.5s)

sample1.1s

Algorithm
halfpoints

simplify2.2s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize225.0ms

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)

rewrite150.0ms

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:
43.0ms
(*.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))
41.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
33.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
32.0ms
(-.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)

simplify3.4s

Counts
75 → 75
Iterations
IterNodes
done5000
34167
2533
1143
062

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize492.0ms

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)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
1.0b
(/.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/ /p16-rgt-identity-expand
9×associate-/l/
7×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
6×*p16-lft-identity-expand associate--l+ *p16-rgt-identity-expand p16-*-un-lft-identity
5×associate-*l/ p16-flip--
3×associate--l- insert-quire-sub associate-/r* sub-neg p16-times-frac
1×associate-/r/ associate-/l*
Counts
4 → 67
Calls
4 calls:
39.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
55.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
62.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
166.0ms
(/.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) 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 a b) c) (real->posit16 2)) b)
0.0ms
(/.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

simplify3.2s

Counts
71 → 71
Iterations
IterNodes
done5002
33885
2560
1127
058

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize343.0ms

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)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.7b
(/.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
12×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
7×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
6×associate--l+ /p16-rgt-identity-expand
4×p16-flip--
3×associate--l- insert-quire-sub associate-/r* sub-neg associate-/l*
2×associate-/l/
1×associate-/r/
Counts
4 → 68
Calls
4 calls:
32.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
53.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
60.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
228.0ms
(/.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (+.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 a b) c) (real->posit16 2)) b)
0.0ms
(/.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

simplify2.8s

Counts
72 → 72
Iterations
IterNodes
done5003
33336
2390
1108
055

prune982.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize409.0ms

Local error

Found 4 expressions with local error:

0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
0.7b
(/.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (+.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))

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
21×*p16-lft-identity-expand p16-times-frac *p16-rgt-identity-expand p16-*-un-lft-identity
9×+p16-lft-identity-expand +p16-rgt-identity-expand
8×associate--l+ /p16-rgt-identity-expand
7×introduce-quire -p16-rgt-identity-expand associate-/l*
6×associate-/r*
5×difference-of-squares
4×p16-flip-- associate-/l/
2×associate--l- distribute-rgt-in insert-quire-sub sub-neg distribute-lft-in associate-/r/ associate--r+
1×insert-quire-fdp-sub associate--r-
Counts
4 → 93
Calls
4 calls:
51.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
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))
213.0ms
(/.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
123.0ms
(/.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 a b) c) (real->posit16 2)) b)
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 (+.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 (+.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))

simplify4.0s

Counts
97 → 97
Iterations
IterNodes
done5000
33071
2593
1131
066

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes449.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
024

end0.0ms

sample30.9s

Algorithm
halfpoints