Details

Time bar (total: 22.4s)

sample203.0ms

Algorithm
halfpoints
Results

simplify184.0ms

Calls
1 calls:
Slowest
183.0ms
(/.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)))

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize227.0ms

Local error

Found 4 expressions with local error:

2.0b
(/.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 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.2b
(*.p16 (*.p16 i i) (*.p16 i i))

rewrite43.0ms

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
17.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
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)))
11.0ms
(*.p16 (*.p16 i i) (*.p16 i 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 (*.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))

simplify1.4s

Calls
16 calls:
Slowest
413.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
192.0ms
(/.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)))
179.0ms
(/.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)))
179.0ms
(/.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)))
159.0ms
(/.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)))

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize391.0ms

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-times-frac associate-/l*
2×associate-/r* associate-/l/
1×p16-flip-- associate-/r/
Calls
4 calls:
Slowest
5.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
4.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
3.0ms
(/.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 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.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 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

simplify2.1s

Calls
17 calls:
Slowest
443.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
370.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
353.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
304.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
149.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize438.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
0.3b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.2b
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/l*
2×p16-times-frac associate-*l/ p16-flip-- associate-/r/ associate-/l/
1×associate-/r* associate-*r* associate-*r/ *-commutative
Calls
4 calls:
Slowest
13.0ms
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
6.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
3.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.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 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.0ms
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

simplify1.9s

Calls
14 calls:
Slowest
412.0ms
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
410.0ms
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
399.0ms
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
348.0ms
(*.p16 (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
290.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize260.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.2b
(*.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.0b
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*l/ p16-flip--
2×associate-/r/ associate-/l* associate-/l/
1×sub-neg associate-*r* associate-*r/ *-commutative
Calls
4 calls:
Slowest
11.0ms
(*.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
5.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

series0.0ms

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

simplify4.1s

Calls
12 calls:
Slowest
1.7s
(*.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
642.0ms
(*.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
612.0ms
(*.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
587.0ms
(*.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
524.0ms
(*.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))

prune872.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes481.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.6s

Algorithm
halfpoints
Results