Details

Time bar (total: 15.7s)

sample196.0ms

Algorithm
halfpoints
Results

simplify156.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
155.0ms
(/.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)))

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize226.0ms

Local error

Found 4 expressions with local error:

1.5b
(/.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))))
0.8b
(*.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))
0.2b
(*.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)))

rewrite27.0ms

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*
Counts
4 → 18
Calls
4 calls:
Slowest
9.0ms
(*.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)))
8.0ms
(/.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))))
7.0ms
(*.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

Counts
4 → 4
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))

simplify1.9s

Counts
18 → 22
Calls
18 calls:
Slowest
274.0ms
(*.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))
270.0ms
(*.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 (*.p16 i i) (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 1.0) (real->posit16 1.0)))))
233.0ms
(*.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))
232.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))

prune892.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize225.0ms

Local error

Found 4 expressions with local error:

0.8b
(*.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))))
0.4b
(/.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))))

rewrite32.0ms

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*
Counts
4 → 12
Calls
4 calls:
Slowest
14.0ms
(/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))))
8.0ms
(*.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))
6.0ms
(*.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))))
3.0ms
(/.p16 i (-.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 (/.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 (*.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))))

simplify2.4s

Counts
17 → 16
Calls
17 calls:
Slowest
535.0ms
(*.p16 (*.p16 i (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
316.0ms
(*.p16 i (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
261.0ms
(*.p16 (*.p16 (/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))) i) (*.p16 i i))
245.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
243.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

prune678.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize172.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.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)))
0.0b
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))

rewrite13.0ms

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*
Counts
4 → 15
Calls
4 calls:
Slowest
5.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
4.0ms
(/.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)))
3.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))
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 (/.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)))

simplify2.2s

Counts
16 → 19
Calls
16 calls:
Slowest
522.0ms
(/.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)))
483.0ms
(/.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)))
480.0ms
(/.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)))
417.0ms
(/.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)))
127.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

prune731.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize149.0ms

Local error

Found 4 expressions with local error:

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))))
0.2b
(/.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)))
0.1b
(-.p16 (*.p16 i (real->posit16 2)) (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 i (real->posit16 2)) (real->posit16 1.0))) (/.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)))
2.0ms
(/.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 (/.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)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

simplify656.0ms

Counts
12 → 13
Calls
12 calls:
Slowest
214.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
89.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
89.0ms
(/.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)))
87.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

prune348.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch3.0ms

end0.0ms

sample4.5s

Algorithm
halfpoints
Results