Details

Time bar (total: 40.9s)

sample140.0ms

Algorithm
halfpoints
Results

simplify3.3s

Counts
1 → 1

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize212.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.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
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg p16-flip--
2×distribute-rgt-in distribute-lft-in *-commutative
1×associate-*l/ associate-*r/
Counts
4 → 12
Calls
4 calls:
Slowest
5.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
4.0ms
(*.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)))

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

simplify3.2s

Counts
16 → 16

prune779.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize369.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (*.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9))
0.3b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
5×associate-*l/
4×p16-flip--
2×*-commutative
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate-/l* associate-/l/
Counts
4 → 11
Calls
4 calls:
Slowest
8.0ms
(/.p16 (*.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9)) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
8.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
6.0ms
(*.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9))
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 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (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 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9))
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))

simplify21.8s

Counts
15 → 15

prune643.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize209.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×sub-neg
4×p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
Counts
4 → 10
Calls
4 calls:
Slowest
3.0ms
(*.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)))
2.0ms
(-.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 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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify1.6s

Counts
14 → 14

prune666.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize209.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.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)))) (/.p16 rand (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)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
2×sub-neg associate-*l/ associate-*r/ *-commutative
1×associate-*l*
Counts
4 → 10
Calls
4 calls:
Slowest
4.0ms
(*.p16 (*.p16 (real->posit16 1) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 rand (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))))
2.0ms
(*.p16 (-.p16 a (/.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)))
2.0ms
(-.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)))) (/.p16 rand (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)))

simplify3.6s

Counts
14 → 14

prune652.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes389.0ms

Accuracy

-∞% (-63.8b remaining)

Error of 0.2b against oracle of 64.0b and baseline of 64.0b

bsearch6.0ms

end0.0ms

sample3.0s

Algorithm
halfpoints
Results