Details

Time bar (total: 18.3s)

sample100.0ms

Algorithm
halfpoints
Results

simplify278.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
278.0ms
(+.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))))

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize209.0ms

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)))

rewrite41.0ms

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
29.0ms
(+.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))
3.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
3.0ms
(/.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)))

simplify1.6s

Counts
10 → 10
Calls
10 calls:
Slowest
318.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 2) x) (/.p16 (real->posit16 2) x)))
236.0ms
(+.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))))
220.0ms
(+.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))))
211.0ms
(+.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))))
202.0ms
(-.p16 (/.p16 (real->posit16 2) x) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize219.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×+-commutative associate-+r+ associate-+r- associate-/r/
Counts
4 → 6
Calls
4 calls:
Slowest
13.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
7.0ms
(-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
4.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
3.0ms
(/.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 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
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)))

simplify2.5s

Counts
10 → 10
Calls
10 calls:
Slowest
968.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 2) x) (/.p16 (real->posit16 2) x)))
332.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
325.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
286.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
216.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

localize189.0ms

Local error

Found 4 expressions with local error:

1.0b
(-.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
0.6b
(+.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)))
0.1b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate--l+ associate-/r/
Counts
4 → 5
Calls
4 calls:
Slowest
13.0ms
(-.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
4.0ms
(+.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

Counts
4 → 4
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)))) (/.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)))

simplify1.7s

Counts
9 → 9
Calls
9 calls:
Slowest
669.0ms
(+.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
263.0ms
(/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
226.0ms
(-.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 (real->posit16 2) x) (/.p16 (real->posit16 2) x)))
171.0ms
(-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
93.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))

prune277.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

localize230.0ms

Local error

Found 4 expressions with local error:

0.8b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
0.6b
(*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1)))
0.4b
(-.p16 (*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
0.2b
(/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×associate--l+
3×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/ p16-flip--
2×sub-neg associate-/r/
1×+-commutative associate-+r- associate-/r* associate-*l* *-commutative
Counts
4 → 16
Calls
4 calls:
Slowest
6.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
4.0ms
(/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x)))
3.0ms
(*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1)))
2.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))

series0.0ms

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

simplify6.7s

Counts
21 → 20
Calls
21 calls:
Slowest
1.2s
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1))))
933.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1))))
514.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (*.p16 x (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x)))))
486.0ms
(*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) x)
442.0ms
(*.p16 x (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))))

prune846.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.6b

regimes311.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.4s

Algorithm
halfpoints
Results