Details

Time bar (total: 8.9s)

sample130.0ms

Algorithm
halfpoints
Results

simplify333.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
332.0ms
(+.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))))

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize165.0ms

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)))

rewrite18.0ms

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
11.0ms
(+.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 (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)))

simplify972.0ms

Counts
7 → 10
Calls
7 calls:
Slowest
266.0ms
(+.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))))
266.0ms
(+.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))))
223.0ms
(+.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))))
195.0ms
(+.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))))
12.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune435.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize185.0ms

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)))

simplify111.0ms

Counts
7 → 11
Calls
7 calls:
Slowest
64.0ms
(neg.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
16.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
9.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
5.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
5.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune445.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize217.0ms

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 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in associate-/r/
1×+-commutative associate-+l+ associate-/r* associate-*l* associate-*l/ *-commutative associate-+l- difference-of-squares
Counts
4 → 14
Calls
4 calls:
Slowest
12.0ms
(+.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))))
3.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (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))
1.0ms
(/.p16 (real->posit16 1) (-.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 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1)))
0.0ms
(/.p16 (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))

simplify1.4s

Counts
14 → 18
Calls
14 calls:
Slowest
390.0ms
(/.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)))))
255.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
252.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
247.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
197.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))

prune809.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

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 (*.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)))

rewrite22.0ms

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
13.0ms
(+.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)))))
4.0ms
(/.p16 (*.p16 (real->posit16 1) (+.p16 x (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))
2.0ms
(-.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)))

simplify87.0ms

Counts
13 → 16
Calls
13 calls:
Slowest
12.0ms
(/.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1)))
10.0ms
(-.p16 x (real->posit16 1))
8.0ms
(*.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
7.0ms
(*.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
7.0ms
(*.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune859.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.6b

regimes270.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch4.0ms

end0.0ms

sample2.1s

Algorithm
halfpoints
Results