Details

Time bar (total: 15.7s)

sample127.0ms

Algorithm
halfpoints
Results

simplify2.6s

Counts
1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize268.0ms

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

rewrite38.0ms

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
24.0ms
(+.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))))
6.0ms
(-.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

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize176.0ms

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)))

rewrite14.0ms

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
7.0ms
(+.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)))
4.0ms
(-.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 (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

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize269.0ms

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate--l+ associate-/r/
Counts
4 → 5
Calls
4 calls:
Slowest
36.0ms
(-.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))
8.0ms
(+.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)))

simplify2.5s

Counts
9 → 9

prune354.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.8b

localize272.0ms

Local error

Found 4 expressions with local error:

0.9b
(+.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)))
0.7b
(*.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)))

rewrite26.0ms

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
11.0ms
(+.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)))
6.0ms
(*.p16 (/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x))) (+.p16 x (real->posit16 1)))
4.0ms
(/.p16 (real->posit16 1) (*.p16 (-.p16 x (real->posit16 1)) (+.p16 (real->posit16 1) x)))
4.0ms
(-.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)))

simplify654.0ms

Counts
20 → 20

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

regimes192.0ms

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch5.0ms

end0.0ms

sample2.1s

Algorithm
halfpoints
Results