Details

Time bar (total: 40.3s)

sample121.0ms

Algorithm
halfpoints
Results

simplify3.9s

Counts
1 → 1

prune59.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize295.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg
3×p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
Counts
4 → 8
Calls
4 calls:
Slowest
5.0ms
(*.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)))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))

series0.0ms

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

simplify2.0s

Counts
12 → 12

prune586.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize431.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9)) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.3b
(*.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))
0.2b
(*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*r/ p16-flip--
2×sub-neg associate-*l/ *-commutative
1×distribute-rgt-in +-commutative distribute-lft-in associate-*l* associate-/l* associate-/l/
Counts
4 → 10
Calls
4 calls:
Slowest
15.0ms
(/.p16 (*.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9)) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
14.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
10.0ms
(*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
7.0ms
(*.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))

series0.0ms

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

simplify10.9s

Counts
14 → 14

prune899.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize322.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg
3×p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
Counts
4 → 8
Calls
4 calls:
Slowest
5.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(*.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
(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)))

simplify1.7s

Counts
12 → 12

prune768.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize420.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×sub-neg distribute-rgt-out p16-flip--
Counts
4 → 5
Calls
4 calls:
Slowest
7.0ms
(+.p16 (real->posit16 1) (/.p16 (*.p16 rand (real->posit16 1)) (sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))))
4.0ms
(+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))

series0.0ms

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

simplify13.6s

Counts
9 → 9

prune558.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes518.0ms

Accuracy

0% (0.1b remaining)

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

bsearch9.0ms

end0.0ms

sample2.9s

Algorithm
halfpoints
Results