Details

Time bar (total: 23.3s)

sample245.0ms

Algorithm
halfpoints

simplify59.0ms

Counts
1 → 1
Iterations
IterNodes
done37
337
235
127
016

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize251.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (real->posit16 4) (*.p16 a c))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
1.0b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×*p16-lft-identity-expand p16-*-un-lft-identity
14×*p16-rgt-identity-expand
12×distribute-lft-out--
9×/p16-rgt-identity-expand
8×+p16-lft-identity-expand introduce-quire p16-times-frac +p16-rgt-identity-expand associate-/l*
6×-p16-rgt-identity-expand
3×distribute-rgt-out-- associate-*l* insert-quire-fdp-sub
2×distribute-rgt-in distribute-lft-in associate-*l/ associate--l+ p16-flip-- associate-/r/ associate--r+ associate-/l/
1×associate--l- insert-quire-sub associate-/r* sub-neg associate-*r* associate-*r/ *-commutative associate--r-
Counts
4 → 81
Calls
4 calls:
24.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
12.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
9.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

series1.0ms

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

simplify1.9s

Counts
85 → 85
Iterations
IterNodes
done5012
32150
2352
189
048

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.1b

localize301.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
1.0b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×*p16-lft-identity-expand p16-*-un-lft-identity
13×*p16-rgt-identity-expand
12×distribute-lft-out--
10×introduce-quire
8×+p16-lft-identity-expand p16-times-frac -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l*
7×/p16-rgt-identity-expand
4×associate--l+ insert-quire-fdp-sub associate--r+
3×distribute-rgt-out-- p16-flip--
2×associate--l- insert-quire-sub sub-neg associate-/r/ associate--r- associate-/l/
1×associate-/r* associate-*l/
Counts
4 → 80
Calls
4 calls:
10.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
12.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
7.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))

series0.0ms

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

simplify2.5s

Counts
84 → 84
Iterations
IterNodes
done5005
32512
2410
1102
054

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.1b

localize296.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (real->posit16 4) (*.p16 a c))
0.3b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
1.0b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×*p16-lft-identity-expand p16-*-un-lft-identity
28×associate-/l*
26×*p16-rgt-identity-expand
24×p16-times-frac
16×distribute-lft-out--
8×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
7×/p16-rgt-identity-expand
6×-p16-rgt-identity-expand
4×distribute-rgt-out--
3×associate-*l* insert-quire-fdp-sub
2×distribute-rgt-in distribute-lft-in associate--l+ associate--r+
1×associate--l- insert-quire-sub sub-neg associate-*r* associate-*l/ associate-*r/ p16-flip-- associate-/r/ *-commutative associate--r- associate-/l/
Counts
4 → 89
Calls
4 calls:
9.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
18.0ms
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
7.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

series0.0ms

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

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5007
31088
2309
183
049

prune2.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.1b

localize286.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (real->posit16 4) (*.p16 a c))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.4b
(*.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
1.0b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
35×*p16-lft-identity-expand p16-*-un-lft-identity
31×associate-*l*
27×*p16-rgt-identity-expand
24×p16-times-frac
16×distribute-lft-out--
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×introduce-quire
7×/p16-rgt-identity-expand
6×-p16-rgt-identity-expand
4×distribute-rgt-in distribute-lft-in distribute-rgt-out-- associate-*r*
3×insert-quire-fdp-sub
2×associate-*l/ associate--l+ associate-*r/ *-commutative associate--r+
1×associate--l- insert-quire-sub sub-neg p16-flip-- associate-/r/ associate--r-
Counts
4 → 98
Calls
4 calls:
8.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
13.0ms
(*.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
7.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.0ms
(*.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

simplify4.4s

Counts
102 → 102
Iterations
IterNodes
done5004
31487
2434
1116
053

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.1b

regimes1.4s

Accuracy

0% (0.4b remaining)

Error of 1.5b against oracle of 1.1b and baseline of 1.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done16
016

end0.0ms

sample3.2s

Algorithm
halfpoints