Details

Time bar (total: 16.2s)

sample200.0ms

Algorithm
halfpoints
Results

simplify4.0s

Counts
1 → 1

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize197.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.4b
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.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))
0.0b
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×difference-of-sqr-1 associate-*r* associate-/r/ *-commutative
1×associate-/r* sub-neg associate-*l* associate-*l/ associate-*r/ associate-/l/
Counts
4 → 13
Calls
4 calls:
Slowest
12.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
5.0ms
(/.p16 (/.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 (real->posit16 2)) (/.p16 (/.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))

series0.0ms

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

simplify223.0ms

Counts
17 → 17

prune681.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize177.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b
(/.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)) (real->posit16 1.0)))
0.0b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite21.0ms

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
9.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
5.0ms
(/.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
5.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
2.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

series0.0ms

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

simplify419.0ms

Counts
13 → 13

prune523.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize245.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.3b
(/.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)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/l/
2×associate-*l/ associate-*r/ p16-flip--
1×sub-neg associate-/r/ *-commutative associate-/l*
Counts
4 → 10
Calls
4 calls:
Slowest
7.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
6.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
5.0ms
(/.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

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

simplify363.0ms

Counts
14 → 14

prune797.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize280.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.p16 (/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.2b
(*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.1b
(/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (real->posit16 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/l/
2×associate-*r/
1×p16-flip-- associate-/r/ *-commutative associate-/l*
Counts
4 → 7
Calls
4 calls:
Slowest
14.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
7.0ms
(/.p16 (/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
5.0ms
(*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
5.0ms
(/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (real->posit16 2))

series0.0ms

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

simplify3.0s

Counts
10 → 11

prune234.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes174.0ms

Accuracy

-∞% (-63.5b remaining)

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

bsearch2.0ms

end0.0ms

sample4.5s

Algorithm
halfpoints
Results