Details

sample130.0ms

Algorithm

halfpoints

Results

simplify347.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

346.0ms

(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize188.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`sub-neg` `p16-flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
1×	`associate-l/` `associate-r/`

Counts

4 → 12

Calls

4 calls:

Slowest

3.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
3.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify3.9s

Counts

20 → 16

Calls

20 calls:

Slowest

466.0ms	(.p16 (real->posit16 9) (-.p16 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
429.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
390.0ms	(.p16 (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
386.0ms	(-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
378.0ms	(-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune856.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize213.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
0.2b	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
2×	`associate-l/` `associate-r/` `*-commutative`
1×	`distribute-rgt-in` `+-commutative` `p16-distribute-lft-out` `distribute-lft-in` `associate-r` `distribute-lft-out`

Counts

4 → 13

Calls

4 calls:

Slowest

4.0ms	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
4.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
3.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify3.1s

Counts

21 → 17

Calls

21 calls:

Slowest

434.0ms	(.p16 (real->posit16 9) (-.p16 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
327.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
291.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
285.0ms	(-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
271.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))

prune791.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize300.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
0.2b	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
2×	`associate-r/` `-commutative`
1×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*l/`

Counts

4 → 10

Calls

4 calls:

Slowest

14.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
7.0ms	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand))
4.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand))
0.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify2.0s

Counts

14 → 14

Calls

14 calls:

Slowest

553.0ms	(.p16 (real->posit16 9) (-.p16 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
354.0ms	(-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
240.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
201.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
189.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))

prune857.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize246.0ms

Local error

Found 4 expressions with local error:

0.2b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand))
0.2b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b	(/.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.2b	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (/.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand)) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--`
2×	`sub-neg` `associate-l/` `-commutative`
1×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-r` `associate-r/` `associate-/l` `associate-/l/`

Counts

4 → 10

Calls

4 calls:

Slowest

5.0ms	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (/.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand)) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
4.0ms	(/.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
4.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand))
3.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand))
0.0ms	(+.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (/.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand)) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
0.0ms	(/.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify2.1s

Counts

13 → 14

Calls

13 calls:

Slowest

538.0ms	(.p16 (real->posit16 9) (-.p16 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
536.0ms	(.p16 (-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (.p16 (real->posit16 1) rand))
213.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand))
180.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand))
171.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.p16 (real->posit16 1) rand))

prune551.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

-∞% (-63.8b remaining)

Error of 0.2b against oracle of 64.0b and baseline of 64.0b

bsearch8.0ms

end0.0ms

sample2.4s

Algorithm

halfpoints

Results