Details

Time bar (total: 25.2s)

sample122.0ms

Algorithm
halfpoints

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
113098
102235
91352
8902
7565
6401
5340
4256
3158
277
134
018

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize294.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.1b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(-.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))))

rewrite12.0ms

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)))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
6.0ms
(*.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))))

simplify2.0s

Counts
64 → 64
Iterations
IterNodes
done5019
31336
2258
175
039

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize352.0ms

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

rewrite13.0ms

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:
4.0ms
(*.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))))))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
7.0ms
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.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 a (/.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)))))

simplify2.5s

Counts
68 → 68
Iterations
IterNodes
done5022
32714
2371
1106
052

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize463.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.1b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(-.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))))

rewrite15.0ms

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)))))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
6.0ms
(*.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))))

simplify1.7s

Counts
64 → 64
Iterations
IterNodes
done5003
31294
2252
177
041

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize440.0ms

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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.3b
(*.p16 (*.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.6b
(/.p16 (*.p16 (*.p16 (real->posit16 9) (+.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))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×/p16-rgt-identity-expand
9×*p16-lft-identity-expand associate-*l/ *p16-rgt-identity-expand p16-*-un-lft-identity
7×+p16-lft-identity-expand -p16-rgt-identity-expand associate-*r/ +p16-rgt-identity-expand
6×associate-*r* associate-/l/
5×distribute-rgt-in distribute-lft-in
4×introduce-quire associate-*l*
3×associate-/r* p16-times-frac
2×associate-+r+ sub-neg p16-flip-- *-commutative associate--r-
1×+-commutative associate-+r- associate-/r/ associate-/l*
Counts
4 → 79
Calls
4 calls:
6.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
11.0ms
(*.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
9.0ms
(*.p16 (*.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
8.0ms
(/.p16 (*.p16 (*.p16 (real->posit16 9) (+.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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.0ms
(*.p16 (*.p16 (real->posit16 9) (+.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 (real->posit16 9) (+.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))))

simplify3.6s

Counts
83 → 83
Iterations
IterNodes
done5016
34580
2665
1138
057

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes480.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done23
123
021

end0.0ms

sample3.2s

Algorithm
halfpoints