Details

Time bar (total: 33.4s)

sample445.0ms

Algorithm
halfpoints

simplify595.0ms

Counts
1 → 1
Iterations
IterNodes
done2003
42003
3418
293
135
019

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize251.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.2b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.5b
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.7b
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
126×p16-times-frac
104×*p16-lft-identity-expand p16-*-un-lft-identity
56×*p16-rgt-identity-expand
32×p16-distribute-lft-out distribute-lft-out
22×/p16-rgt-identity-expand
15×associate-/r* associate-/r/
8×distribute-rgt-out introduce-quire -p16-rgt-identity-expand associate-/l*
6×+p16-lft-identity-expand +p16-rgt-identity-expand
5×associate-/l/
4×associate-+r+
2×+-commutative associate-+l+ associate-+r- insert-quire-add associate-*r/ insert-quire-fdp-add associate-+l-
1×associate-*l/ p16-flip--
Counts
4 → 165
Calls
4 calls:
8.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
8.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
77.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
14.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
0.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

simplify1.0s

Counts
169 → 169
Iterations
IterNodes
done2001
32001
2426
1110
055

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize244.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
0.2b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
0.6b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
108×*p16-lft-identity-expand p16-*-un-lft-identity
90×p16-times-frac
66×*p16-rgt-identity-expand
40×associate-*r*
28×p16-distribute-lft-out distribute-lft-out
15×associate-/r*
13×associate-*l*
10×/p16-rgt-identity-expand
9×+p16-lft-identity-expand +p16-rgt-identity-expand
7×distribute-rgt-out
6×associate-+r+ introduce-quire -p16-rgt-identity-expand associate-/l*
4×distribute-rgt-in distribute-lft-in associate-/r/
3×associate-/l/
1×+-commutative associate-+l+ associate-+r- insert-quire-add associate-*l/ associate-*r/ p16-flip-- *-commutative insert-quire-fdp-add associate-+l-
Counts
4 → 175
Calls
4 calls:
8.0ms
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
37.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))))
47.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
24.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

simplify749.0ms

Counts
179 → 179
Iterations
IterNodes
done2003
32003
2656
1136
062

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize347.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
0.2b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i)))))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
0.6b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
108×*p16-lft-identity-expand p16-*-un-lft-identity
90×p16-times-frac
66×*p16-rgt-identity-expand
40×associate-*r*
28×p16-distribute-lft-out distribute-lft-out
15×associate-/r*
13×associate-*l*
10×/p16-rgt-identity-expand
9×+p16-lft-identity-expand +p16-rgt-identity-expand
7×distribute-rgt-out
6×associate-+r+ introduce-quire -p16-rgt-identity-expand associate-/l*
4×distribute-rgt-in distribute-lft-in associate-/r/
3×associate-/l/
1×+-commutative associate-+l+ associate-+r- insert-quire-add associate-*l/ associate-*r/ p16-flip-- *-commutative insert-quire-fdp-add associate-+l-
Counts
4 → 175
Calls
4 calls:
16.0ms
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
96.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i)))))
86.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
14.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i)))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

simplify1.0s

Counts
179 → 179
Iterations
IterNodes
done2023
32023
2596
1145
065

prune3.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize580.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
0.3b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha))
0.5b
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha)) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
0.6b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
38×*p16-lft-identity-expand p16-*-un-lft-identity
30×p16-times-frac
26×*p16-rgt-identity-expand
15×associate-/r*
13×associate-*l*
11×/p16-rgt-identity-expand
9×+p16-lft-identity-expand +p16-rgt-identity-expand
8×p16-distribute-lft-out distribute-lft-out
6×associate-+r+ introduce-quire -p16-rgt-identity-expand
5×distribute-rgt-in distribute-lft-in associate-/l/
4×associate-*r/ associate-/l*
3×associate-*r* associate-/r/
2×sub-neg distribute-rgt-out associate-*l/ p16-flip--
1×+-commutative associate-+l+ associate-+r- insert-quire-add *-commutative insert-quire-fdp-add associate-+l-
Counts
4 → 117
Calls
4 calls:
16.0ms
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
18.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha))
144.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha)) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
37.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha))
0.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha)) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))

simplify1.3s

Counts
121 → 121
Iterations
IterNodes
done2020
32020
2838
1156
071

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

regimes1.3s

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done26
026

end0.0ms

sample16.6s

Algorithm
halfpoints