Details

Time bar (total: 43.9s)

sample139.0ms

Algorithm
halfpoints
Results

simplify2.9s

Counts
1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize178.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
0.3b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.2b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.1b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×+-commutative associate-+l+ associate-/r/ associate-+l-
Counts
4 → 6
Calls
4 calls:
Slowest
14.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
3.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
2.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
2.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
0.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
0.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

simplify1.6s

Counts
10 → 10

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize234.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
0.4b
(-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.2b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.1b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×+-commutative associate-+r+ associate-+r- associate-/r/
Counts
4 → 6
Calls
4 calls:
Slowest
8.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
4.0ms
(-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
2.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
2.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
0.0ms
(-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
0.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

simplify2.5s

Counts
10 → 10

prune422.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

localize270.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
0.6b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
0.2b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.1b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate--l+ associate-/r/
Counts
4 → 5
Calls
4 calls:
Slowest
27.0ms
(-.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
9.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
5.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
3.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
0.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
0.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))

simplify2.4s

Counts
9 → 9

prune307.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.6b

localize211.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (*.p16 (/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))))
0.6b
(*.p16 (/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1)))
0.3b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.2b
(*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg
3×distribute-rgt-in distribute-lft-in p16-flip--
2×associate-+r+ associate-*r/ *-commutative
1×+-commutative associate-+l+ associate-*l* associate-*l/ associate-/r/ associate-+l-
Counts
4 → 16
Calls
4 calls:
Slowest
22.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (*.p16 (/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))))
17.0ms
(*.p16 (/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1)))
9.0ms
(*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))
7.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (*.p16 (/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))))
0.0ms
(*.p16 (/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1)))
0.0ms
(*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))
0.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))

simplify29.2s

Counts
20 → 20

prune939.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes232.0ms

Accuracy

-∞% (-63.0b remaining)

Error of 1.0b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm
halfpoints
Results