Details

sample218.0ms

Algorithm

halfpoints

Results

simplify528.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

527.0ms

(/.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)))

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize183.0ms

Local error

Found 4 expressions with local error:

1.9b	(/.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

15.0ms	(/.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)))
6.0ms	(.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

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 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

Counts

16 → 18

Calls

16 calls:

Slowest

398.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
226.0ms	(/.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)))
187.0ms	(/.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)))
184.0ms	(/.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)))
140.0ms	(/.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)))

prune705.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize195.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 i i))
0.8b	(/.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))

rewrite26.0ms

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/`

Counts

4 → 17

Calls

4 calls:

Slowest

14.0ms	(/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 i i))
5.0ms	(/.p16 (.p16 i i) (/.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (*.p16 i i)))
5.0ms	(/.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)))
2.0ms	(-.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 (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))

simplify1.9s

Counts

22 → 21

Calls

22 calls:

Slowest

944.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
307.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
250.0ms	(/.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)))
149.0ms	(/.p16 (.p16 i i) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
66.0ms	(/.p16 (.p16 i i) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))

prune770.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize194.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 10

Calls

4 calls:

Slowest

12.0ms	(.p16 (/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) 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 (.p16 (real->posit16 2) 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

Counts

4 → 4

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 (/.p16 i (/.p16 (.p16 (real->posit16 2) 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 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)

simplify6.4s

Counts

15 → 14

Calls

15 calls:

Slowest

1.1s	(.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
1.0s	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
977.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
939.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
913.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune629.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize320.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 10

Calls

4 calls:

Slowest

12.0ms	(/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)))
8.0ms	(.p16 (/.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (/.p16 i i))) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
4.0ms	(/.p16 (/.p16 i (/.p16 (real->posit16 2) (/.p16 i i))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
3.0ms	(/.p16 (*.p16 (real->posit16 2) i) i)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify265.0ms

Counts

11 → 14

Calls

11 calls:

Slowest

212.0ms	(.p16 (/.p16 i (/.p16 (.p16 (real->posit16 2) i) i)) (/.p16 (/.p16 i (/.p16 (real->posit16 2) (/.p16 i i))) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
22.0ms	(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
6.0ms	(+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
6.0ms	(+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))
5.0ms	(/.p16 i (*.p16 (real->posit16 2) i))

prune502.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes168.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample4.3s

Algorithm

halfpoints

Results