Details

Time bar (total: 17.9s)

sample177.0ms

Algorithm
halfpoints

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done35
335
234
126
016

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize300.0ms

Local error

Found 4 expressions with local error:

0.3b
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
0.3b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.8b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×+p16-lft-identity-expand +p16-rgt-identity-expand
7×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×*p16-lft-identity-expand *p16-rgt-identity-expand associate--r+ p16-*-un-lft-identity
4×associate--l+
3×p16-times-frac p16-flip-- associate-/l*
2×associate--l- distribute-rgt-in insert-quire-sub sub-neg distribute-lft-in associate-/r/ associate-/l/
1×associate-/r* associate-*l/ insert-quire-fdp-sub associate--r-
Counts
4 → 63
Calls
4 calls:
9.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
8.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
8.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

series1.0ms

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

simplify1.5s

Counts
67 → 67
Iterations
IterNodes
done2101
32101
2419
1113
055

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize275.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.p16 (*.p16 c a) (real->posit16 4))
0.3b
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.8b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
7×introduce-quire -p16-rgt-identity-expand
6×/p16-rgt-identity-expand associate--r+
5×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×distribute-rgt-in distribute-lft-in associate--l+
3×associate-*r*
2×associate--l- insert-quire-sub sub-neg p16-flip--
1×associate-*l* associate-*l/ associate-*r/ *-commutative insert-quire-fdp-sub associate--r-
Counts
4 → 63
Calls
4 calls:
7.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
19.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

series0.0ms

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

simplify1.9s

Counts
67 → 67
Iterations
IterNodes
done2072
32072
2354
195
048

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize265.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.3b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.8b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--r+
13×+p16-lft-identity-expand +p16-rgt-identity-expand associate-/l*
11×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
10×distribute-rgt-in distribute-lft-in
9×p16-times-frac
7×introduce-quire -p16-rgt-identity-expand
5×/p16-rgt-identity-expand
4×associate--l+
2×associate--l- insert-quire-sub sub-neg p16-flip--
1×associate-/r/ insert-quire-fdp-sub associate--r- associate-/l/
Counts
4 → 74
Calls
4 calls:
8.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
9.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
4.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

series0.0ms

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

simplify1.3s

Counts
78 → 78
Iterations
IterNodes
done2012
32012
2732
1148
071

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize396.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.4b
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
0.8b
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
7.8b
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-/l*
10×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
4×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
2×associate--l+
1×associate--l- insert-quire-sub sub-neg p16-flip-- associate-/r/ associate-/l/
Counts
4 → 44
Calls
4 calls:
9.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
5.0ms
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
0.0ms
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

simplify1.3s

Counts
48 → 48
Iterations
IterNodes
done2022
52022
4894
3295
2123
156
039

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

regimes808.0ms

Accuracy

0% (0.4b remaining)

Error of 1.6b against oracle of 1.1b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
015

end0.0ms

sample3.3s

Algorithm
halfpoints