Details

Time bar (total: 49.7s)

sample139.0ms

Algorithm
halfpoints
Results

simplify4.1s

Counts
1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize255.0ms

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)))))

rewrite13.0ms

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
6.0ms
(*.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

prune664.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize636.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*r/
2×sub-neg p16-flip-- *-commutative
1×distribute-rgt-in +-commutative distribute-lft-in associate-/l* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
9.0ms
(/.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
8.0ms
(*.p16 (real->posit16 9) (/.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
5.0ms
(+.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 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.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 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.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 (+.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)))

simplify17.0s

Counts
13 → 13

prune792.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize293.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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

series0.0ms

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

simplify1.8s

Counts
12 → 12

prune742.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize337.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.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 (/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.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 (real->posit16 1) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.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)))) (+.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))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*l/ p16-flip--
2×*-commutative associate-/l* associate-/l/
1×distribute-rgt-in distribute-lft-in associate-*r/
Counts
4 → 10
Calls
4 calls:
Slowest
20.0ms
(*.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)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))
12.0ms
(/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
7.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
5.0ms
(/.p16 (*.p16 (real->posit16 1) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.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)))) (+.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.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 (*.p16 (real->posit16 1) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.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)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))))
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)))) (+.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))))

simplify16.7s

Counts
14 → 14

prune909.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes391.0ms

Accuracy

0% (0.1b remaining)

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

bsearch6.0ms

end0.0ms

sample3.2s

Algorithm
halfpoints
Results