Details

Time bar (total: 18.0s)

sample333.0ms

Algorithm
halfpoints

simplify48.0ms

Counts
1 → 1
Iterations
IterNodes
done37
337
235
127
016

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize315.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:
11.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
13.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
1.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
39.0ms
(-.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 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
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 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done2016
31967
2348
189
048

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize351.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×*p16-lft-identity-expand p16-*-un-lft-identity
13×*p16-rgt-identity-expand
12×distribute-lft-out--
10×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
8×p16-times-frac -p16-rgt-identity-expand associate-/l* associate--r+
7×/p16-rgt-identity-expand
4×associate--l+ insert-quire-fdp-sub
3×distribute-rgt-out-- p16-flip--
2×associate--l- distribute-rgt-in insert-quire-sub sub-neg distribute-lft-in associate-/r/ associate--r- associate-/l/
1×associate-/r* associate-*l/
Counts
4 → 84
Calls
4 calls:
10.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a)))
8.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a))))) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a))))
5.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a)))))

series0.0ms

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

simplify631.0ms

Counts
88 → 88
Iterations
IterNodes
done2000
2543
1118
060

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize405.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×*p16-lft-identity-expand p16-*-un-lft-identity
11×*p16-rgt-identity-expand
8×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand associate-/l* distribute-lft-out--
7×/p16-rgt-identity-expand
6×-p16-rgt-identity-expand
3×associate-*l* insert-quire-fdp-sub
2×distribute-rgt-in distribute-lft-in distribute-rgt-out-- associate--l+ p16-flip-- associate--r+ associate-/l/
1×associate--l- insert-quire-sub sub-neg associate-*r* associate-*l/ associate-*r/ *-commutative associate--r-
Counts
4 → 70
Calls
4 calls:
7.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) a)
8.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
5.0ms
(-.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 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) a)
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 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

simplify764.0ms

Counts
74 → 74
Iterations
IterNodes
done2004
31206
2238
177
044

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.9b

localize244.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×*p16-lft-identity-expand p16-*-un-lft-identity
13×*p16-rgt-identity-expand
12×distribute-lft-out--
10×+p16-lft-identity-expand introduce-quire +p16-rgt-identity-expand
8×associate-/r* p16-times-frac -p16-rgt-identity-expand associate--r+
7×/p16-rgt-identity-expand
4×associate--l+ insert-quire-fdp-sub
3×distribute-rgt-out-- p16-flip--
2×associate--l- distribute-rgt-in insert-quire-sub sub-neg distribute-lft-in associate-/r/ associate--r- associate-/l/
1×associate-*l/ associate-/l*
Counts
4 → 84
Calls
4 calls:
5.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a)))
6.0ms
(/.p16 (*.p16 (real->posit16 2) a) (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a))))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a))))
3.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 (real->posit16 4) a)))))

series0.0ms

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

simplify425.0ms

Counts
88 → 88
Iterations
IterNodes
done2040
2489
1109
060

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.9b

regimes1.5s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done16
016

end0.0ms

sample4.3s

Algorithm
halfpoints