Details

Time bar (total: 13.0s)

sample166.0ms

Algorithm
halfpoints
Results

simplify353.0ms

Calls
1 calls:
Slowest
353.0ms
(+.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))))

prune79.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize481.0ms

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)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×+-commutative associate-+l+ associate-/r/ associate-+l-
Calls
4 calls:
Slowest
25.0ms
(+.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))))
5.0ms
(-.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 (/.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)))

simplify1.3s

Calls
7 calls:
Slowest
352.0ms
(+.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))))
343.0ms
(+.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))))
317.0ms
(+.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))))
262.0ms
(+.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))))
11.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune718.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/r/
Calls
4 calls:
Slowest
6.0ms
(+.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)))))
3.0ms
(+.p16 (neg.p16 (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
1.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
1.0ms
(/.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)))

simplify45.0ms

Calls
6 calls:
Slowest
14.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
10.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
6.0ms
(/.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)))

prune498.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize336.0ms

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))))

rewrite38.0ms

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
Calls
4 calls:
Slowest
24.0ms
(+.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))))
6.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
5.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (+.p16 x (real->posit16 1)))
3.0ms
(/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (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 (/.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))

simplify1.7s

Calls
14 calls:
Slowest
371.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
367.0ms
(/.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)))))
336.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
298.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
289.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize107.0ms

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

rewrite46.0ms

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-*l* associate-*l/ *-commutative associate-+l- associate-/l/
Calls
4 calls:
Slowest
24.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (+.p16 x (real->posit16 1))))
13.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
5.0ms
(*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (+.p16 x (real->posit16 1)))
3.0ms
(/.p16 (/.p16 (real->posit16 1) (+.p16 x (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 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (+.p16 x (real->posit16 1))))
0.0ms
(*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.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))
0.0ms
(/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1)))

simplify1.3s

Calls
14 calls:
Slowest
317.0ms
(*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (real->posit16 1))
262.0ms
(*.p16 (real->posit16 1) (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))))
244.0ms
(*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (real->posit16 1))
205.0ms
(*.p16 (real->posit16 1) (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))))
203.0ms
(/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

regimes445.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch5.0ms

end0.0ms

sample2.6s

Algorithm
halfpoints
Results