Details

Time bar (total: 10.8s)

sample218.0ms

Algorithm
halfpoints
Results

simplify96.0ms

Calls
1 calls:
Slowest
96.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize218.0ms

Local error

Found 2 expressions with local error:

1.6b
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
0.1b
(sqrt.p16 (+.p16 x (real->posit16 1)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg p16-flip--
Calls
2 calls:
Slowest
3.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
0.0ms
(sqrt.p16 (+.p16 x (real->posit16 1)))

series0.0ms

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

simplify197.0ms

Calls
2 calls:
Slowest
109.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
87.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.1b

localize256.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))
0.4b
(*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.3b
(*.p16 (sqrt.p16 x) (sqrt.p16 x))
0.2b
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
2×*-commutative sqrt-sqrd.p16
1×+-commutative sub-neg p16-flip-- difference-of-squares
Calls
4 calls:
Slowest
9.0ms
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
3.0ms
(-.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))
2.0ms
(*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))
2.0ms
(*.p16 (sqrt.p16 x) (sqrt.p16 x))

series0.0ms

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

simplify60.0ms

Calls
3 calls:
Slowest
50.0ms
(-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
8.0ms
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
1.0ms
(real->posit16 1)

prune606.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize347.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))
0.3b
(*.p16 (sqrt.p16 x) (sqrt.p16 x))
0.2b
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
0.2b
(/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×+-commutative sub-neg associate--l+ *-commutative sqrt-sqrd.p16 associate-/l/
Calls
4 calls:
Slowest
16.0ms
(/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))
10.0ms
(-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))
4.0ms
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
3.0ms
(*.p16 (sqrt.p16 x) (sqrt.p16 x))

series0.0ms

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

simplify133.0ms

Calls
5 calls:
Slowest
123.0ms
(-.p16 (*.p16 (+.p16 x (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))
5.0ms
(real->posit16 1)
2.0ms
(real->posit16 1)
1.0ms
(real->posit16 1)
1.0ms
(real->posit16 1)

prune707.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize479.0ms

Local error

Found 4 expressions with local error:

0.4b
(+.p16 x (-.p16 (real->posit16 1) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))
0.3b
(*.p16 (sqrt.p16 x) (sqrt.p16 x))
0.2b
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
0.2b
(/.p16 (+.p16 x (-.p16 (real->posit16 1) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ associate-+r- sub-neg *-commutative sqrt-sqrd.p16
Calls
4 calls:
Slowest
9.0ms
(/.p16 (+.p16 x (-.p16 (real->posit16 1) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))
6.0ms
(+.p16 x (-.p16 (real->posit16 1) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))
4.0ms
(+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
4.0ms
(*.p16 (sqrt.p16 x) (sqrt.p16 x))

series0.0ms

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

simplify8.0ms

Calls
2 calls:
Slowest
4.0ms
(neg.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)))
3.0ms
(*.p16 (sqrt.p16 x) (sqrt.p16 x))

prune530.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes676.0ms

Accuracy

-∞% (-63.4b remaining)

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

bsearch5.0ms

end0.0ms

sample6.0s

Algorithm
halfpoints
Results