Details

sample271.0ms

Algorithm

halfpoints

Results

simplify205.0ms

Calls

1 calls:

Slowest

205.0ms

(/.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)))

prune102.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize259.0ms

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)))
0.8b	(/.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 i i) (*.p16 i i))
0.1b	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

rewrite19.0ms

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

8.0ms	(/.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 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))
3.0ms	(.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 (.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 i i) (.p16 i i)) (.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 i i))

simplify1.4s

Calls

16 calls:

Slowest

361.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
199.0ms	(/.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)))
199.0ms	(/.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)))
195.0ms	(/.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)))
159.0ms	(/.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)))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize88.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.p16 (.p16 i i) (.p16 (real->posit16 2) i))
0.8b	(/.p16 (.p16 i i) (.p16 (real->posit16 2) i))
0.8b	(/.p16 (.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.1b	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series0.0ms

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 i 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 (real->posit16 2) i))

simplify913.0ms

Calls

21 calls:

Slowest

357.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
108.0ms	(.p16 (.p16 i i) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)))
103.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
99.0ms	(.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (.p16 i i))
22.0ms	(/.p16 (.p16 i i) (.p16 (real->posit16 2) i))

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize165.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.p16 (.p16 i i) (.p16 (real->posit16 2) i))
0.8b	(/.p16 (.p16 (.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.1b	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.0b	(.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

15.0ms	(.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i))
8.0ms	(/.p16 (.p16 (.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) 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))
2.0ms	(/.p16 (.p16 i i) (.p16 (real->posit16 2) i))

series0.0ms

Calls

4 calls:

Slowest

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

simplify2.0s

Calls

16 calls:

Slowest

352.0ms	(/.p16 (/.p16 (.p16 i i) (.p16 (real->posit16 2) i)) (-.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
332.0ms	(/.p16 (.p16 (.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
325.0ms	(/.p16 (.p16 (.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
310.0ms	(/.p16 (.p16 (.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
290.0ms	(/.p16 (.p16 (.p16 (/.p16 i (real->posit16 2)) (real->posit16 1.0)) (/.p16 (.p16 i i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize238.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.p16 i (.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (.p16 i (real->posit16 2)))))
0.4b	(/.p16 i (.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))
0.2b	(.p16 (/.p16 i (.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (.p16 i (real->posit16 2))))) (/.p16 i (.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
0.1b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series0.0ms

Calls

4 calls:

Slowest

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

simplify741.0ms

Calls

10 calls:

Slowest

188.0ms	(.p16 i (/.p16 i (.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
122.0ms	(.p16 (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))
113.0ms	(.p16 (/.p16 i (.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (.p16 i (real->posit16 2))))) (/.p16 i (.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
112.0ms	(.p16 (/.p16 i (.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (.p16 i (real->posit16 2))))) (/.p16 i (.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))
98.0ms	(.p16 (/.p16 i (.p16 (real->posit16 2) (+.p16 (real->posit16 1.0) (.p16 i (real->posit16 2))))) (/.p16 i (.p16 (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))))

prune761.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes526.0ms

Accuracy

-∞% (-63.5b remaining)

Error of 0.5b against oracle of 64.0b and baseline of 64.0b

bsearch6.0ms

end0.0ms

sample5.0s

Algorithm

halfpoints

Results