Details

sample199.0ms

Algorithm

halfpoints

Results

simplify181.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

181.0ms

(/.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)))

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize251.0ms

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))

rewrite28.0ms

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

11.0ms	(/.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))
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 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

900.0ms	(/.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)))
649.0ms	(.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)))
343.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
240.0ms	(-.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)))
186.0ms	(/.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)))

prune760.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize155.0ms

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))

rewrite21.0ms

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

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

simplify3.9s

Counts

21 → 18

Calls

21 calls:

Slowest

626.0ms	(/.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))))
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)))
448.0ms	(/.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)))
442.0ms	(/.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)))
428.0ms	(.p16 (-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (real->posit16 1.0)) (*.p16 (real->posit16 2) (real->posit16 2)))

prune741.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize267.0ms

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))

rewrite22.0ms

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

8.0ms	(.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))))
6.0ms	(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
5.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
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 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))

simplify2.5s

Counts

17 → 13

Calls

17 calls:

Slowest

901.0ms	(.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 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 (real->posit16 1.0) (real->posit16 1.0)))))
298.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
239.0ms	(/.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))))
180.0ms	(-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (.p16 (real->posit16 1.0) (real->posit16 1.0)))
146.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))

prune749.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize218.0ms

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))

rewrite22.0ms

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

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

simplify3.9s

Counts

15 → 15

Calls

15 calls:

Slowest

725.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
664.0ms	(.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)))))
621.0ms	(.p16 (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
393.0ms	(.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))))
285.0ms	(/.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))))

prune473.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes322.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch4.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results