Details

Time bar (total: 9.3s)

sample93.0ms

Algorithm
halfpoints
Results

simplify373.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
373.0ms
(+.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))))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize242.0ms

Local error

Found 4 expressions with local error:

0.8b
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 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)))
0.1b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite24.0ms

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
18.0ms
(+.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)))

simplify863.0ms

Counts
7 → 10
Calls
7 calls:
Slowest
238.0ms
(+.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))))
214.0ms
(+.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))))
207.0ms
(+.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))))
188.0ms
(+.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)))

prune319.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize206.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 2) x) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))))
0.4b
(-.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)))
0.1b
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg p16-flip--
1×associate-/r/ associate--r+ associate--r-
Counts
4 → 7
Calls
4 calls:
Slowest
3.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 2) x) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))))
3.0ms
(-.p16 (/.p16 (real->posit16 2) x) (/.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

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

simplify102.0ms

Counts
7 → 11
Calls
7 calls:
Slowest
60.0ms
(neg.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
16.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
6.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
6.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
6.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize241.0ms

Local error

Found 4 expressions with local error:

0.8b
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1))))
0.6b
(*.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 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg p16-flip--
2×distribute-rgt-in associate-+r+ distribute-lft-in
1×+-commutative associate-+l+ associate-*l* associate-*l/ associate-/r/ *-commutative associate-+l- difference-of-squares
Counts
4 → 15
Calls
4 calls:
Slowest
21.0ms
(+.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))))
5.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1)))
5.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
4.0ms
(-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (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 (/.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 (*.p16 x x) (*.p16 (real->posit16 1) (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)))

simplify1.3s

Counts
14 → 19
Calls
14 calls:
Slowest
356.0ms
(/.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)))))
242.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
228.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
218.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
217.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.6b

localize340.0ms

Local error

Found 4 expressions with local error:

0.8b
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (/.p16 (*.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
0.5b
(/.p16 (*.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
0.4b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.2b
(-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg p16-flip-- difference-of-squares
1×+-commutative associate-+l+ associate-/r* p16-times-frac associate-/r/ associate-+l- associate-/l*
Counts
4 → 12
Calls
4 calls:
Slowest
38.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (/.p16 (*.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
8.0ms
(/.p16 (*.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
5.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
5.0ms
(-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (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 (*.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
0.0ms
(/.p16 (*.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
0.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.0ms
(-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))

simplify126.0ms

Counts
13 → 16
Calls
13 calls:
Slowest
18.0ms
(*.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
18.0ms
(/.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))
14.0ms
(*.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
12.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
11.0ms
(-.p16 x (real->posit16 1))

prune618.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.6b

regimes257.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.6s

Algorithm
halfpoints
Results