Details

Time bar (total: 14.7s)

sample168.0ms

Algorithm
halfpoints
Results

simplify233.0ms

Calls
1 calls:
Slowest
233.0ms
(+.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))))

prune84.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize291.0ms

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))))
0.4b
(-.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)))
0.2b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×+-commutative associate-+l+ associate-/r/ associate-+l-
Calls
4 calls:
Slowest
12.0ms
(+.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))))
9.0ms
(-.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

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 (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)))

simplify1.1s

Calls
7 calls:
Slowest
375.0ms
(+.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))))
281.0ms
(+.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))))
194.0ms
(+.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))))
194.0ms
(+.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))))
7.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune769.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize499.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
3×+-commutative
2×associate-+r+
1×p16-flip-- associate-/r/
Calls
4 calls:
Slowest
13.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (+.p16 (neg.p16 (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))))
6.0ms
(+.p16 (neg.p16 (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
5.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
4.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

series0.0ms

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

simplify95.0ms

Calls
7 calls:
Slowest
30.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
18.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
11.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
11.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
11.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune701.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize469.0ms

Local error

Found 4 expressions with local error:

0.8b
(+.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (neg.p16 (/.p16 (real->posit16 2) x)))
0.7b
(+.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)))
0.2b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
3×+-commutative
2×associate-+l+
1×unsub-neg p16-flip-- associate-/r/
Calls
4 calls:
Slowest
32.0ms
(+.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (neg.p16 (/.p16 (real->posit16 2) x)))
5.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
2.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
2.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

series0.0ms

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)))) (neg.p16 (/.p16 (real->posit16 2) x)))
0.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
0.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

simplify40.0ms

Calls
8 calls:
Slowest
15.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
6.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
3.0ms
(+.p16 x (real->posit16 1))
3.0ms
(neg.p16 (/.p16 (real->posit16 2) x))
3.0ms
(neg.p16 (/.p16 (real->posit16 2) x))

prune665.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.7b

localize522.0ms

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 x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1))))
0.5b
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1)))
0.4b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.2b
(/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
9×*-commutative
8×associate-/r* difference-of-squares
5×+-commutative associate-*l/
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×p16-flip--
2×sub-neg associate-/r/
1×associate-+l+ associate-*l* associate-+l-
Calls
4 calls:
Slowest
40.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1))))
12.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1)))
5.0ms
(/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
3.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))

series0.0ms

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 x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1))))
0.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (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 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))

simplify3.1s

Calls
25 calls:
Slowest
359.0ms
(/.p16 (real->posit16 1) (-.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 (*.p16 (real->posit16 1) (real->posit16 1)) (*.p16 (real->posit16 1) (real->posit16 1)))))
356.0ms
(*.p16 x (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
347.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
342.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
335.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) x)

prune2.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

regimes373.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch3.0ms

end0.0ms

sample3.2s

Algorithm
halfpoints
Results