Details

Time bar (total: 58.0s)

sample443.0ms

Algorithm
halfpoints

simplify784.0ms

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

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize261.0ms

Local error

Found 4 expressions with local error:

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

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
126×p16-times-frac
117×*p16-lft-identity-expand p16-*-un-lft-identity
67×*p16-rgt-identity-expand
38×p16-distribute-lft-out distribute-lft-out
26×/p16-rgt-identity-expand
19×associate-/r/
15×associate-/r*
14×distribute-rgt-out
10×introduce-quire
8×-p16-rgt-identity-expand associate-/l*
7×+p16-lft-identity-expand +p16-rgt-identity-expand
5×associate-/l/
4×associate-+r+ insert-quire-fdp-add
3×associate-+l+
2×+-commutative associate-+r- insert-quire-add distribute-lft1-in associate-*r/ associate-+l-
1×associate-*l/ p16-flip--
Counts
4 → 188
Calls
4 calls:
17.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
319.0ms
(+.p16 (/.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))) (real->posit16 1.0))
109.0ms
(/.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 (/.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))) (real->posit16 1.0))
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)))

simplify1.2s

Counts
192 → 192
Iterations
IterNodes
done2000
32000
2461
1118
060

prune10.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize466.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))) (real->posit16 1.0))
0.2b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
0.5b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))
0.6b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
109×*p16-lft-identity-expand p16-*-un-lft-identity
90×p16-times-frac
67×*p16-rgt-identity-expand
40×associate-*l*
28×p16-distribute-lft-out distribute-lft-out
15×associate-/r*
13×associate-*r*
10×+p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
8×introduce-quire
7×distribute-rgt-out
6×associate-+l+ -p16-rgt-identity-expand associate-/l*
4×distribute-rgt-in distribute-lft-in associate-/r/
3×insert-quire-fdp-add associate-/l/
2×associate-+r+
1×+-commutative associate-+r- insert-quire-add associate-*l/ associate-*r/ p16-flip-- *-commutative associate-+l-
Counts
4 → 178
Calls
4 calls:
5.0ms
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))) (real->posit16 1.0))
76.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
26.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))
116.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

simplify1.2s

Counts
182 → 182
Iterations
IterNodes
done2009
32009
2681
1124
057

prune8.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize256.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (real->posit16 1.0))
0.3b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha))
0.5b
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))
0.6b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
109×*p16-lft-identity-expand p16-*-un-lft-identity
75×p16-times-frac
65×*p16-rgt-identity-expand
40×associate-*l*
34×p16-distribute-lft-out distribute-lft-out
15×associate-/r* /p16-rgt-identity-expand
13×distribute-rgt-out
8×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
7×associate-/r/
6×-p16-rgt-identity-expand
5×associate-/l/
4×associate-*r/ associate-/l*
3×distribute-rgt-in distribute-lft-in associate-*r* insert-quire-fdp-add
2×associate-+l+ associate-+r+ sub-neg distribute-lft1-in associate-*l/ p16-flip--
1×+-commutative associate-+r- insert-quire-add *-commutative associate-+l-
Counts
4 → 181
Calls
4 calls:
64.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (real->posit16 1.0))
49.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha))
14.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))
66.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha))
0.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

simplify777.0ms

Counts
185 → 185
Iterations
IterNodes
done2020
32020
2549
1136
061

prune8.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize414.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta (+.p16 (*.p16 i (real->posit16 2)) alpha))) (real->posit16 1.0))
0.3b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha))
0.5b
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta (+.p16 (*.p16 i (real->posit16 2)) alpha)))
0.6b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
109×*p16-lft-identity-expand p16-*-un-lft-identity
75×p16-times-frac
65×*p16-rgt-identity-expand
40×associate-*l*
34×p16-distribute-lft-out distribute-lft-out
15×associate-/r* /p16-rgt-identity-expand
13×distribute-rgt-out
8×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
7×associate-/r/
6×-p16-rgt-identity-expand
5×associate-/l/
4×associate-*r/ associate-/l*
3×distribute-rgt-in distribute-lft-in associate-*r* insert-quire-fdp-add
2×associate-+l+ associate-+r+ sub-neg distribute-lft1-in associate-*l/ p16-flip--
1×+-commutative associate-+r- insert-quire-add *-commutative associate-+l-
Counts
4 → 181
Calls
4 calls:
29.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta (+.p16 (*.p16 i (real->posit16 2)) alpha))) (real->posit16 1.0))
47.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha))
7.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta (+.p16 (*.p16 i (real->posit16 2)) alpha)))
61.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta (+.p16 (*.p16 i (real->posit16 2)) alpha))) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha))
0.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta (+.p16 (*.p16 i (real->posit16 2)) alpha)))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))

simplify1.3s

Counts
185 → 185
Iterations
IterNodes
done2028
32028
2680
1143
064

prune7.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

regimes834.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
021

end0.0ms

sample13.2s

Algorithm
halfpoints