Details

Time bar (total: 17.8s)

sample223.0ms

Algorithm
halfpoints
Results

simplify167.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
167.0ms
(/.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)))

prune55.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize175.0ms

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))

rewrite32.0ms

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
9.0ms
(/.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)))
9.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
8.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
6.0ms
(*.p16 (*.p16 i i) (*.p16 i i))

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 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.0ms
(*.p16 (*.p16 i i) (*.p16 i 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)))

simplify1.4s

Counts
16 → 18
Calls
16 calls:
Slowest
395.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
203.0ms
(/.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)))
198.0ms
(/.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)))
195.0ms
(/.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)))
177.0ms
(/.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)))

prune837.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize230.0ms

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)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-times-frac associate-/l*
2×associate-/r* associate-/l/
1×p16-flip-- associate-/r/
Counts
4 → 11
Calls
4 calls:
Slowest
7.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
4.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i))
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))

series0.0ms

Counts
4 → 4
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 (*.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))

simplify2.0s

Counts
17 → 15
Calls
17 calls:
Slowest
420.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
407.0ms
(/.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)))
274.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
147.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune770.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize277.0ms

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 i) (*.p16 (real->posit16 2) i)) (+.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 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))))

rewrite27.0ms

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
Counts
4 → 12
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)))
5.0ms
(/.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

Counts
4 → 4
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

Counts
14 → 16
Calls
14 calls:
Slowest
441.0ms
(*.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))))
431.0ms
(*.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))))
421.0ms
(*.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))))
327.0ms
(*.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))))
243.0ms
(*.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))))

prune670.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize156.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip-- associate-/l/
2×associate-*l/ associate-*r/ associate-/r/
1×sub-neg associate-*l* *-commutative associate-/l*
Counts
4 → 11
Calls
4 calls:
Slowest
5.0ms
(/.p16 (*.p16 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2)))
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 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.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 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2)))
0.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

simplify2.6s

Counts
11 → 15
Calls
11 calls:
Slowest
598.0ms
(/.p16 (*.p16 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
570.0ms
(/.p16 (*.p16 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
484.0ms
(/.p16 (*.p16 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
471.0ms
(/.p16 (*.p16 (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 i (real->posit16 2))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
188.0ms
(/.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))))

prune772.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes341.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch4.0ms

end0.0ms

sample5.1s

Algorithm
halfpoints
Results