Details

Time bar (total: 42.3s)

sample615.0ms

Algorithm
halfpoints

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5025
42074
3418
293
135
019

prune95.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize355.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.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)))
0.6b
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

rewrite459.0ms

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:
16.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
267.0ms
(+.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))
133.0ms
(/.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)))
37.0ms
(/.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)))

simplify3.1s

Counts
192 → 192
Iterations
IterNodes
done5000
33357
2461
1118
060

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize417.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
36×p16-times-frac
35×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
13×associate-*r* associate-*l*
10×+p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
8×introduce-quire
6×associate-+l+ associate-/r* -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 → 115
Calls
4 calls:
41.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (*.p16 i (real->posit16 2)) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2)))))
7.0ms
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (*.p16 i (real->posit16 2)) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2))))) (real->posit16 1.0))
24.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2))))
86.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (*.p16 i (real->posit16 2)) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))

series0.0ms

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

simplify3.6s

Counts
119 → 119
Iterations
IterNodes
done5004
33315
2811
1134
059

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

localize324.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
36×p16-times-frac
35×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
13×associate-*r* associate-*l*
10×+p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
8×introduce-quire
6×associate-+l+ associate-/r* -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 → 115
Calls
4 calls:
37.0ms
(*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha)) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2)))))
4.0ms
(+.p16 (*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha)) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2))))) (real->posit16 1.0))
22.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2))))
80.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha))

series0.0ms

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

simplify2.9s

Counts
119 → 119
Iterations
IterNodes
done5000
33245
2733
1133
060

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize365.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha)) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2)))))
0.2b
(+.p16 (+.p16 (real->posit16 0.0) (*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha)) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2)))))) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2))))
0.6b
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
48×*p16-lft-identity-expand p16-*-un-lft-identity
46×*p16-rgt-identity-expand
36×p16-times-frac
16×introduce-quire
13×associate-*r* associate-*l* insert-quire-fdp-add
10×/p16-rgt-identity-expand
8×-p16-rgt-identity-expand
7×insert-quire-add +p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-/r* p16-distribute-lft-out distribute-lft-out associate-/l*
4×associate-/r/ associate-+l-
3×distribute-rgt-out associate-/l/
2×distribute-rgt-in associate-+r+ associate-+r- distribute-lft-in
1×+-commutative associate-+l+ distribute-lft1-in associate-*l/ associate-*r/ p16-flip-- *-commutative
Counts
4 → 136
Calls
4 calls:
62.0ms
(*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha)) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2)))))
8.0ms
(+.p16 (+.p16 (real->posit16 0.0) (*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha)) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2)))))) (real->posit16 1.0))
15.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (*.p16 i (real->posit16 2))))
45.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 beta (real->posit16 2.0))) alpha))

series0.0ms

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

simplify2.8s

Counts
140 → 140
Iterations
IterNodes
done5027
33568
2574
1150
065

prune2.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done24
024

end0.0ms

sample14.9s

Algorithm
halfpoints