Details

sample217.0ms

Algorithm

halfpoints

Results

simplify178.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

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)))

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize228.0ms

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)))
0.6b	(/.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 i 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

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

9.0ms	(/.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))

simplify3.4s

Counts

21 → 18

Calls

21 calls:

Slowest

789.0ms	(/.p16 (-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (real->posit16 1.0)) (/.p16 (.p16 i i) (*.p16 (real->posit16 2) i)))
635.0ms	(.p16 (-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (real->posit16 1.0)) (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)))
375.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
285.0ms	(-.p16 (.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i))) (.p16 (real->posit16 1.0) (real->posit16 1.0)))
207.0ms	(/.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)))

prune799.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize148.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.3b	(/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2)))
0.2b	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.1b	(.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))

rewrite14.0ms

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

5.0ms	(.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
4.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
3.0ms	(/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2)))
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 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.0ms	(.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
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 (real->posit16 2) (real->posit16 2)))

simplify4.0s

Counts

21 → 18

Calls

21 calls:

Slowest

706.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i))) (.p16 (real->posit16 1.0) (real->posit16 1.0))))
542.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
536.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
447.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
427.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

prune843.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize526.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.2b	(.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.0b	(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

rewrite12.0ms

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

5.0ms	(.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
3.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
2.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
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 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.0ms	(.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.0ms	(/.p16 (/.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))

simplify2.4s

Counts

17 → 13

Calls

17 calls:

Slowest

1.1s	(.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (/.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)))))
256.0ms	(/.p16 (/.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))))
209.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
125.0ms	(.p16 (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)) (real->posit16 2))
118.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune549.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.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)))
0.2b	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
0.0b	(-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--` `associate-/l/`
2×	`associate-l/` `associate-r/` `associate-/r/`
1×	`sub-neg` `associate-r` `-commutative` `associate-/l`

Counts

4 → 11

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.9s

Counts

15 → 15

Calls

15 calls:

Slowest

451.0ms	(.p16 (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
448.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.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)))))
332.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
310.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
303.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))

prune419.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch3.0ms

end0.0ms

sample4.8s

Algorithm

halfpoints

Results