Details

sample230.0ms

Algorithm

halfpoints

Results

simplify153.0ms

Calls

1 calls:

Slowest

153.0ms

(/.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)))

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize290.0ms

Local error

Found 4 expressions with local error:

2.2b	(/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))
0.9b	(/.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))
0.1b	(.p16 (.p16 i i) (*.p16 i i))

rewrite38.0ms

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/`

Calls

4 calls:

Slowest

21.0ms	(/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))
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)))
5.0ms	(.p16 (.p16 i i) (*.p16 i i))
2.0ms	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

series0.0ms

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

simplify1.4s

Calls

16 calls:

Slowest

388.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
232.0ms	(/.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)))
220.0ms	(/.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)))
194.0ms	(/.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)))
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)))

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize335.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 i i))
0.9b	(/.p16 (/.p16 (.p16 i i) (/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 i i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.3b	(/.p16 (.p16 i i) (/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (*.p16 i i)))
0.2b	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`p16-times-frac`
4×	`difference-of-sqr-1` `associate-/r/` `associate-/l*`
3×	`associate-/r*`
2×	`p16-flip--`
1×	`sub-neg` `associate-/l/`

Calls

4 calls:

Slowest

10.0ms	(/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 i i))
8.0ms	(/.p16 (.p16 i i) (/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (*.p16 i i)))
6.0ms	(/.p16 (/.p16 (.p16 i i) (/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 i i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (real->posit16 1.0)))
3.0ms	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

series0.0ms

Calls

4 calls:

Slowest

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

simplify2.3s

Calls

22 calls:

Slowest

1.1s	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
408.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
318.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
173.0ms	(/.p16 (.p16 i i) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
93.0ms	(/.p16 (.p16 i i) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize409.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/l*`
3×	`associate-/r/`
2×	`associate-/l/`
1×	`p16-flip--`

Calls

4 calls:

Slowest

5.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
4.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
4.0ms	(/.p16 (*.p16 (real->posit16 2) i) i)
4.0ms	(/.p16 (*.p16 (real->posit16 2) i) i)

series0.0ms

Calls

4 calls:

Slowest

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

simplify6.2s

Calls

13 calls:

Slowest

1.3s	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
1.2s	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
987.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
950.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
668.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize415.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r/`
3×	`associate-/l*`
2×	`p16-flip--` `associate-/l/`
1×	`associate-r` `associate-l/` `associate-r/` `*-commutative`

Calls

4 calls:

Slowest

5.0ms	(.p16 (/.p16 (/.p16 i (/.p16 (real->posit16 2) (/.p16 i i))) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
3.0ms	(/.p16 (/.p16 i (/.p16 (real->posit16 2) (/.p16 i i))) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.0ms	(/.p16 (*.p16 (real->posit16 2) i) i)

series0.0ms

Calls

4 calls:

Slowest

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

simplify298.0ms

Calls

11 calls:

Slowest

252.0ms	(.p16 (/.p16 i (/.p16 (real->posit16 2) (/.p16 i i))) (/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
23.0ms	(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
5.0ms	(+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
5.0ms	(+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
4.0ms	(/.p16 i (*.p16 (real->posit16 2) i))

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes712.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch4.0ms

end0.0ms

sample6.1s

Algorithm

halfpoints

Results