Details

Time bar (total: 7.9s)

sample114.0ms

Algorithm
halfpoints
Results

simplify127.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
127.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize174.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg p16-flip--
Counts
2 → 2
Calls
2 calls:
Slowest
6.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))

series0.0ms

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

simplify242.0ms

Counts
2 → 4
Calls
2 calls:
Slowest
138.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
103.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize232.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.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) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
0.5b
(-.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) x) (/.p16 (real->posit16 1) x)))
0.3b
(*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.2b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- difference-of-squares
1×+-commutative sub-neg associate-*l/ associate-*r/ *-commutative associate-/l* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
13.0ms
(/.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) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
7.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
4.0ms
(*.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))

series0.0ms

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

simplify936.0ms

Counts
6 → 13
Calls
6 calls:
Slowest
787.0ms
(-.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 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))))
98.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
16.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
14.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
13.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune443.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize175.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
0.6b
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.2b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.2b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip--
1×sub-neg associate-*r/ associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
8.0ms
(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
4.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
3.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

series0.0ms

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

simplify1.1s

Counts
10 → 10
Calls
10 calls:
Slowest
641.0ms
(*.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (-.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) x) (/.p16 (real->posit16 1) x))))
130.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
130.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
74.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
73.0ms
(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

prune319.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

localize330.0ms

Local error

Found 4 expressions with local error:

0.9b
(/.p16 (-.p16 (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
0.5b
(-.p16 (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
0.2b
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.2b
(*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 7
Calls
4 calls:
Slowest
16.0ms
(/.p16 (-.p16 (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)))
9.0ms
(-.p16 (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)))
8.0ms
(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
4.0ms
(*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))

series0.0ms

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

simplify1.2s

Counts
6 → 11
Calls
6 calls:
Slowest
1.2s
(-.p16 (*.p16 (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1))) (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))) (+.p16 x (real->posit16 1)))) (*.p16 (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x)) (*.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) x))))
17.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
15.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
15.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
14.0ms
(*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))

prune436.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

regimes181.0ms

Accuracy

-∞% (-63.4b remaining)

Error of 0.6b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
halfpoints
Results