Details

Time bar (total: 15.5s)

sample254.0ms

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)))

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize174.0ms

Local error

Found 4 expressions with local error:

1.7b
(/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
1.0b
(*.p16 (/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
0.2b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.1b
(*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg associate-*l* associate-*r/
2×p16-times-frac difference-of-sqr-1 associate-*r* associate-/r/ *-commutative
1×distribute-rgt-in associate-/r* distribute-lft-in associate-*l/ associate-/l*
Calls
4 calls:
Slowest
8.0ms
(*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
4.0ms
(/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
3.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
2.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))

series0.0ms

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

simplify2.3s

Calls
18 calls:
Slowest
555.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
333.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
314.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
294.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
236.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

prune719.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize85.0ms

Local error

Found 4 expressions with local error:

1.0b
(*.p16 (*.p16 (/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))) (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
0.8b
(/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))))
0.5b
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.3b
(*.p16 (/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))) (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

rewrite8.0ms

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

series0.0ms

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

simplify2.4s

Calls
17 calls:
Slowest
575.0ms
(*.p16 (*.p16 i (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
317.0ms
(*.p16 i (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
287.0ms
(*.p16 (*.p16 (/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))) i) (*.p16 i i))
258.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
231.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

prune648.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.2b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.1b
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
0.1b
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
3×difference-of-sqr-1
2×associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
1×associate-/r* sub-neg p16-times-frac associate-*r* associate-*l* associate-/r/ associate-/l*
Calls
4 calls:
Slowest
10.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
3.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
2.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
2.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))

series0.0ms

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

simplify2.1s

Calls
16 calls:
Slowest
612.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
563.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
403.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
375.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
87.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

prune876.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize112.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.2b
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.2b
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×associate-/r/ associate-/l/
1×sub-neg associate-*r* associate-*l/ associate-*r/ *-commutative
Calls
4 calls:
Slowest
6.0ms
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
4.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
3.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
3.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

series0.0ms

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

simplify779.0ms

Calls
12 calls:
Slowest
253.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
139.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
92.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
91.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
88.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes206.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample3.9s

Algorithm
halfpoints
Results