Details

Time bar (total: 17.1s)

sample115.0ms

Algorithm
halfpoints

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done2059
102059
91352
8902
7565
6401
5340
4256
3158
277
134
018

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize334.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
6×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×distribute-rgt-in sub-neg distribute-lft-in introduce-quire associate--r+ associate--r-
3×associate-*r* associate-*l* p16-flip--
2×associate-*r/
1×associate-*l/ *-commutative
Counts
4 → 60
Calls
4 calls:
0.0ms
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify1.1s

Counts
64 → 64
Iterations
IterNodes
done2016
42016
31336
2258
175
039

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize409.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.2b
(sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.2b
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×+p16-lft-identity-expand +p16-rgt-identity-expand
7×-p16-rgt-identity-expand
6×associate-+r+ *p16-lft-identity-expand introduce-quire /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
3×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
2×associate-+l+ associate-*l/ p16-flip-- associate--r+
1×+-commutative associate-+r- sub-neg insert-quire-add p16-distribute-lft-out associate-*r/ *-commutative insert-quire-fdp-add associate-+l- distribute-lft-out associate--r-
Counts
4 → 64
Calls
4 calls:
7.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.0ms
(sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
6.0ms
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.0ms
(sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.0ms
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify999.0ms

Counts
68 → 68
Iterations
IterNodes
done2003
32003
2383
1106
052

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize306.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
6×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand associate--r+ p16-*-un-lft-identity
5×sub-neg associate--r-
4×distribute-rgt-in distribute-lft-in introduce-quire p16-flip--
3×associate-*r* associate-*l*
2×associate-*r/
1×associate-*l/ *-commutative
Counts
4 → 65
Calls
4 calls:
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify991.0ms

Counts
69 → 69
Iterations
IterNodes
done2129
42129
31309
2251
171
039

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize431.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.3b
(*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.7b
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×/p16-rgt-identity-expand
10×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
8×distribute-rgt-in distribute-lft-in
6×associate-*r* associate-*l* associate-*r/
5×sub-neg associate--r-
4×introduce-quire p16-flip-- associate-/l/
3×associate-/r* p16-times-frac associate-*l/
2×*-commutative associate--r+
1×associate-/r/ associate-/l*
Counts
4 → 85
Calls
4 calls:
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
5.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
14.0ms
(*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
10.0ms
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify938.0ms

Counts
89 → 89
Iterations
IterNodes
done2041
32041
2569
1140
061

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes538.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
121
019

end0.0ms

sample2.7s

Algorithm
halfpoints