Details

Time bar (total: 10.1s)

sample103.0ms

Algorithm
halfpoints
Results

simplify307.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
307.0ms
(+.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))))

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize244.0ms

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)))

rewrite26.0ms

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
20.0ms
(+.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)))

simplify987.0ms

Counts
7 → 10
Calls
7 calls:
Slowest
301.0ms
(+.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))))
243.0ms
(+.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))))
219.0ms
(+.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))))
199.0ms
(+.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))))
10.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune403.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize246.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.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)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg p16-flip--
1×associate-/r/ associate--r+ associate--r-
Counts
4 → 7
Calls
4 calls:
Slowest
6.0ms
(-.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)))))
5.0ms
(-.p16 (/.p16 (real->posit16 2) x) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
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 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)))

simplify134.0ms

Counts
7 → 11
Calls
7 calls:
Slowest
88.0ms
(neg.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
15.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
8.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
8.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
5.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

prune401.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize225.0ms

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))))

rewrite19.0ms

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))

simplify1.5s

Counts
14 → 18
Calls
14 calls:
Slowest
334.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
281.0ms
(*.p16 (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))) (real->posit16 1))
272.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
268.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1)))))
256.0ms
(/.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)))))

prune868.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize185.0ms

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)))

rewrite29.0ms

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/
Counts
4 → 14
Calls
4 calls:
Slowest
20.0ms
(+.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))))
3.0ms
(*.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 (real->posit16 2) x))
2.0ms
(/.p16 (/.p16 (real->posit16 1) (+.p16 x (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 (/.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)))

simplify1.8s

Counts
14 → 18
Calls
14 calls:
Slowest
618.0ms
(*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (real->posit16 1))
359.0ms
(*.p16 (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))) (real->posit16 1))
304.0ms
(*.p16 (real->posit16 1) (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))))
275.0ms
(*.p16 (real->posit16 1) (/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 x (real->posit16 1))))
198.0ms
(/.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))

prune594.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

regimes324.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch9.0ms

end0.0ms

sample1.7s

Algorithm
halfpoints
Results