Details

Time bar (total: 16.6s)

sample216.0ms

Algorithm
halfpoints
Results

simplify239.0ms

Calls
1 calls:
Slowest
239.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

prune131.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize275.0ms

Local error

Found 4 expressions with local error:

2.2b
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
0.8b
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.2b
(*.p16 (*.p16 i i) (*.p16 i i))
0.1b
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-times-frac
3×difference-of-sqr-1
2×associate-/r* p16-flip-- associate-/l*
1×sub-neg associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
Calls
4 calls:
Slowest
13.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
4.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
3.0ms
(*.p16 (*.p16 i i) (*.p16 i i))
3.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
0.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.0ms
(*.p16 (*.p16 i i) (*.p16 i i))

simplify1.1s

Calls
16 calls:
Slowest
325.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
154.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
148.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
141.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
137.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize122.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.8b
(/.p16 (*.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.1b
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r* p16-times-frac difference-of-sqr-1 associate-/l*
2×p16-flip-- associate-/l/
1×sub-neg associate-*l/ associate-*r/ associate-/r/
Calls
4 calls:
Slowest
5.0ms
(/.p16 (*.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
2.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
2.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
2.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.0ms
(/.p16 (*.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

simplify991.0ms

Calls
21 calls:
Slowest
341.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
148.0ms
(*.p16 (*.p16 i i) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)))
136.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (*.p16 i i))
118.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
29.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize105.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.8b
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.1b
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.0b
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×difference-of-sqr-1
2×associate-/r* p16-times-frac associate-*l/ p16-flip-- associate-/l* associate-/l/
1×sub-neg associate-*r* associate-*l* associate-*r/ associate-/r/ *-commutative
Calls
4 calls:
Slowest
4.0ms
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
3.0ms
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
2.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
1.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.0ms
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.0ms
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))

simplify2.3s

Calls
16 calls:
Slowest
399.0ms
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
389.0ms
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
379.0ms
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
369.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
369.0ms
(/.p16 (*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize268.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2)))))
0.4b
(/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))
0.2b
(*.p16 (/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))) (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
0.1b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*l/ p16-flip--
2×associate-/r* associate-/r/
1×sub-neg associate-*r* associate-*r/ *-commutative
Calls
4 calls:
Slowest
2.0ms
(*.p16 (/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))) (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
1.0ms
(/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2)))))
1.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
1.0ms
(/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2)))))
0.0ms
(*.p16 (/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))) (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
0.0ms
(/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))
0.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

simplify661.0ms

Calls
10 calls:
Slowest
154.0ms
(*.p16 i (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
118.0ms
(*.p16 (/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))) (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
106.0ms
(*.p16 (/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))) (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
98.0ms
(*.p16 (/.p16 i (*.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))) (/.p16 i (*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
92.0ms
(*.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))

prune643.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes391.0ms

Accuracy

-∞% (-63.5b remaining)

Error of 0.5b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample5.4s

Algorithm
halfpoints
Results