Details

Time bar (total: 9.0s)

sample139.0ms

Algorithm
halfpoints
Results

simplify98.0ms

Calls
1 calls:
Slowest
98.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize232.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg p16-flip--
Calls
2 calls:
Slowest
6.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

series0.0ms

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

simplify153.0ms

Calls
2 calls:
Slowest
88.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
65.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize384.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
0.5b
(-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
0.3b
(*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.3b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- difference-of-squares
1×+-commutative sub-neg associate-*l/ associate-*r/ *-commutative associate-/l* associate-/l/
Calls
4 calls:
Slowest
16.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
9.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
5.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
4.0ms
(*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))

series0.0ms

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

simplify742.0ms

Calls
6 calls:
Slowest
642.0ms
(-.p16 (*.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (*.p16 (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))))
65.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
14.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
8.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
8.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))

prune634.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize427.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
0.6b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.3b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.3b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip--
1×sub-neg associate-*r/ associate-/l* associate-/l/
Calls
4 calls:
Slowest
9.0ms
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
5.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
3.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

series0.0ms

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

simplify826.0ms

Calls
10 calls:
Slowest
418.0ms
(*.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))))
118.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
106.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
78.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
63.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune479.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize462.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.p16 (-.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
0.5b
(-.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
0.3b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.3b
(*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate-*l/ associate-*r/ *-commutative associate-/l/
Calls
4 calls:
Slowest
16.0ms
(/.p16 (-.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
7.0ms
(-.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
6.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))

series0.0ms

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

simplify255.0ms

Calls
6 calls:
Slowest
212.0ms
(-.p16 (*.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (real->posit16 1)) (+.p16 x (real->posit16 1))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (real->posit16 1)) (+.p16 x (real->posit16 1)))) (*.p16 (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))))
13.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) x))
9.0ms
(+.p16 x (real->posit16 1))
6.0ms
(+.p16 x (real->posit16 1))
6.0ms
(+.p16 x (real->posit16 1))

prune488.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

regimes280.0ms

Accuracy

-∞% (-63.4b remaining)

Error of 0.6b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample3.1s

Algorithm
halfpoints
Results