Details

Time bar (total: 21.2s)

sample239.0ms

Algorithm
halfpoints
Results

simplify194.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
194.0ms
(/.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)))

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize186.0ms

Local error

Found 4 expressions with local error:

1.9b
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
0.7b
(/.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))

rewrite46.0ms

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/
Counts
4 → 14
Calls
4 calls:
Slowest
19.0ms
(/.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))
9.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
6.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

series0.0ms

Counts
4 → 4
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))

simplify3.9s

Counts
21 → 18
Calls
21 calls:
Slowest
858.0ms
(/.p16 (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)) (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)))
588.0ms
(*.p16 (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
426.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
345.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
269.0ms
(/.p16 (/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (-.p16 (*.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (*.p16 (real->posit16 1.0) (real->posit16 1.0))))

prune557.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize147.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.3b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2)))
0.2b
(-.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))

rewrite15.0ms

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/
Counts
4 → 14
Calls
4 calls:
Slowest
5.0ms
(*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
5.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
3.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2)))
2.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

series0.0ms

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

simplify3.9s

Counts
21 → 18
Calls
21 calls:
Slowest
754.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))) (*.p16 (real->posit16 1.0) (real->posit16 1.0))))
472.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
466.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
451.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
419.0ms
(*.p16 (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)) (*.p16 (real->posit16 2) (real->posit16 2)))

prune678.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize228.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×associate-/r/ associate-/l/
1×sub-neg associate-*r* associate-*l/ associate-*r/ *-commutative
Counts
4 → 9
Calls
4 calls:
Slowest
4.0ms
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
3.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
1.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

series0.0ms

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

simplify2.1s

Counts
17 → 13
Calls
17 calls:
Slowest
734.0ms
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (real->posit16 1.0) (real->posit16 1.0)))))
258.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
249.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (real->posit16 1.0) (real->posit16 1.0))))
132.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (real->posit16 1.0) (real->posit16 1.0)))
126.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune511.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize212.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip-- associate-/l/
2×associate-*l/ associate-*r/ associate-/r/
1×sub-neg associate-*r* *-commutative associate-/l*
Counts
4 → 11
Calls
4 calls:
Slowest
19.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
7.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
5.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

series0.0ms

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

simplify3.1s

Counts
15 → 15
Calls
15 calls:
Slowest
556.0ms
(*.p16 (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
544.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (real->posit16 1.0) (real->posit16 1.0)))))
339.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
281.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
246.0ms
(*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))

prune513.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample4.4s

Algorithm
halfpoints
Results