Details

Time bar (total: 13.2s)

sample97.0ms

Algorithm
halfpoints
Results

simplify263.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
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))))

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize228.0ms

Local error

Found 4 expressions with local error:

0.9b
(+.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)))
0.2b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

rewrite36.0ms

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
23.0ms
(+.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))
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 (/.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)))

simplify1.9s

Counts
10 → 10
Calls
10 calls:
Slowest
424.0ms
(-.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)))
277.0ms
(+.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))))
273.0ms
(+.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))))
226.0ms
(/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
226.0ms
(+.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))))

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize244.0ms

Local error

Found 4 expressions with local error:

0.9b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (-.p16 (/.p16 (real->posit16 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)))
0.2b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

rewrite37.0ms

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
14.0ms
(/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))
12.0ms
(+.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)))

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)))

simplify2.2s

Counts
10 → 10
Calls
10 calls:
Slowest
754.0ms
(-.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)))
309.0ms
(+.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)))
275.0ms
(+.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)))
273.0ms
(+.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)))
273.0ms
(+.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)))

prune329.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

localize265.0ms

Local error

Found 4 expressions with local error:

1.1b
(-.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)))
0.2b
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate--l+ associate-/r/
Counts
4 → 5
Calls
4 calls:
Slowest
21.0ms
(-.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))
7.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.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 (/.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)))

simplify1.2s

Counts
9 → 9
Calls
9 calls:
Slowest
482.0ms
(+.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))
242.0ms
(-.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
168.0ms
(/.p16 (real->posit16 1) (-.p16 (*.p16 x x) (*.p16 (real->posit16 1) (real->posit16 1))))
135.0ms
(-.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)))
63.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))

prune321.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

localize337.0ms

Local error

Found 4 expressions with local error:

0.9b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (*.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 (real->posit16 2) x))) (+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))))
0.8b
(/.p16 (*.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 (real->posit16 2) x))) (+.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))
0.3b
(+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip--
1×sub-neg associate-*l/ associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
11.0ms
(/.p16 (*.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 (real->posit16 2) x))) (+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)))
9.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (*.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 (real->posit16 2) x))) (+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))))
6.0ms
(+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))
3.0ms
(-.p16 (/.p16 (real->posit16 1) (-.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 (/.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 (real->posit16 2) x))) (+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))))
0.0ms
(/.p16 (*.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 (real->posit16 2) x))) (+.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 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))

simplify2.1s

Counts
9 → 10
Calls
9 calls:
Slowest
891.0ms
(-.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)))
371.0ms
(/.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 (real->posit16 2) x)))
212.0ms
(*.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 (real->posit16 2) x)))
134.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (*.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 (real->posit16 2) x))) (+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))))
122.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (*.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 (real->posit16 2) x))) (+.p16 (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x))))

prune407.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

regimes127.0ms

Accuracy

-∞% (-63.0b remaining)

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

bsearch9.0ms

end0.0ms

sample2.6s

Algorithm
halfpoints
Results