Details

Time bar (total: 13.7s)

sample200.0ms

Algorithm
halfpoints
Results

simplify168.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
168.0ms
(/.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)))

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize200.0ms

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)))
0.7b
(/.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))

rewrite47.0ms

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
20.0ms
(/.p16 (*.p16 (*.p16 i i) (*.p16 i i)) (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
14.0ms
(/.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 i i) (*.p16 i i))
3.0ms
(-.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))

simplify1.3s

Counts
16 → 18
Calls
16 calls:
Slowest
429.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
178.0ms
(/.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)))
162.0ms
(/.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)))
157.0ms
(/.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)))
147.0ms
(/.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)))

prune651.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize187.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-times-frac associate-/l*
2×associate-/r*
1×associate-*r* associate-*l/ associate-*r/ p16-flip-- associate-/r/ *-commutative associate-/l/
Counts
4 → 12
Calls
4 calls:
Slowest
9.0ms
(*.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 i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
5.0ms
(/.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))
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 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.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))
0.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

simplify2.0s

Counts
17 → 16
Calls
17 calls:
Slowest
408.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
387.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
333.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
315.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
164.0ms
(*.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))

prune706.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize236.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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)))
0.1b
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
0.0b
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip-- associate-/l/
2×associate-*l/ associate-*r/ associate-/r/ associate-/l*
1×sub-neg *-commutative
Counts
4 → 11
Calls
4 calls:
Slowest
10.0ms
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
5.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))
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 (/.p16 i (real->posit16 2)) (/.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))
0.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))
0.0ms
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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)))

simplify2.2s

Counts
12 → 15
Calls
12 calls:
Slowest
462.0ms
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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)))
459.0ms
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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)))
425.0ms
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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)))
402.0ms
(/.p16 (/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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)))
363.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.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))))

prune562.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize168.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/r/
3×associate-/l/
2×p16-flip--
1×associate-/r* sub-neg associate-/l*
Counts
4 → 9
Calls
4 calls:
Slowest
6.0ms
(/.p16 (/.p16 (/.p16 i (real->posit16 2)) (/.p16 (-.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)))
4.0ms
(/.p16 (/.p16 i (real->posit16 2)) (/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (real->posit16 2))))
3.0ms
(/.p16 (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)) (/.p16 i (real->posit16 2)))
2.0ms
(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

series0.0ms

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

simplify309.0ms

Counts
10 → 13
Calls
10 calls:
Slowest
151.0ms
(-.p16 (*.p16 (*.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (*.p16 (real->posit16 1.0) (real->posit16 1.0)))
139.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms
(/.p16 i (real->posit16 2))
3.0ms
(/.p16 i (real->posit16 2))
2.0ms
(/.p16 i (real->posit16 2))

prune341.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

regimes167.0ms

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