Details

Time bar (total: 16.1s)

sample143.0ms

Algorithm
halfpoints
Results

simplify212.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
212.0ms
(/.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)))

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize259.0ms

Local error

Found 4 expressions with local error:

1.7b
(/.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))))
1.0b
(*.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))
0.1b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.1b
(*.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)))

rewrite33.0ms

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
13.0ms
(/.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))))
10.0ms
(*.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)))
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))) (real->posit16 1.0))
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)))

simplify2.1s

Counts
18 → 22
Calls
18 calls:
Slowest
312.0ms
(*.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))
295.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
254.0ms
(*.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))
246.0ms
(/.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)))))
240.0ms
(*.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))

prune930.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize207.0ms

Local error

Found 4 expressions with local error:

1.0b
(*.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))))
0.5b
(/.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))))

rewrite29.0ms

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
11.0ms
(*.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))
8.0ms
(/.p16 i (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))))
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))))
4.0ms
(/.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 i (real->posit16 2)) (*.p16 i (real->posit16 2))))
0.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

simplify2.6s

Counts
17 → 16
Calls
17 calls:
Slowest
607.0ms
(*.p16 (*.p16 i (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))) (*.p16 i i))
410.0ms
(*.p16 i (/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
269.0ms
(/.p16 i (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
264.0ms
(-.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))

prune642.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize168.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.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)))
0.1b
(-.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)))
0.0b
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))

rewrite16.0ms

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 (*.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)))

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)))

simplify2.1s

Counts
16 → 19
Calls
16 calls:
Slowest
503.0ms
(/.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)))
481.0ms
(/.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)))
443.0ms
(/.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)))
443.0ms
(/.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)))
136.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

prune746.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize210.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.p16 (/.p16 i (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 (/.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))))
0.0b
(-.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
11.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
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)) (real->posit16 1.0))
2.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.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 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)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

simplify866.0ms

Counts
12 → 13
Calls
12 calls:
Slowest
257.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
147.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
132.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
132.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
91.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

prune293.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

regimes234.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch3.0ms

end0.0ms

sample4.1s

Algorithm
halfpoints
Results