Details

sample122.0ms

Algorithm

halfpoints

Results

simplify430.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

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)))

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize262.0ms

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)))

rewrite11.0ms

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

4.0ms	(.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)))

simplify2.2s

Counts

10 → 16

Calls

10 calls:

Slowest

448.0ms	(.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)))
380.0ms	(.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)))
379.0ms	(.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)))
313.0ms	(.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)))
252.0ms	(.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))))

prune706.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize201.0ms

Local error

Found 4 expressions with local error:

0.2b	(.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))))
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)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

Slowest

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

simplify3.4s

Counts

12 → 18

Calls

12 calls:

Slowest

1.1s	(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
817.0ms	(.p16 (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
314.0ms	(.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))))
308.0ms	(.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))))
294.0ms	(.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))))

prune767.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize561.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 13

Calls

4 calls:

Slowest

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

simplify729.0ms

Counts

11 → 17

Calls

11 calls:

Slowest

204.0ms	(.p16 (.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
169.0ms	(.p16 (.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
141.0ms	(.p16 (.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
134.0ms	(.p16 (.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
34.0ms	(.p16 (.p16 (real->posit16 1) rand) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune892.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize422.0ms

Local error

Found 4 expressions with local error:

1.0b	(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.3b	(.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 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.2b	(-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b	(/.p16 (.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 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 16

Calls

4 calls:

Slowest

16.0ms	(/.p16 (.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 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
7.0ms	(.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 (.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
3.0ms	(-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
3.0ms	(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify4.6s

Counts

17 → 20

Calls

17 calls:

Slowest

1.2s	(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
1.0s	(.p16 (/.p16 (real->posit16 1) (sqrt.p16 (.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)
848.0ms	(.p16 (.p16 (real->posit16 1) rand) (-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
824.0ms	(.p16 (.p16 (real->posit16 1) rand) (-.p16 (.p16 a a) (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
236.0ms	(.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 (.p16 (.p16 a a) (.p16 a a)) (.p16 (.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))

prune886.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes419.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch5.0ms

end0.0ms

sample2.4s

Algorithm

halfpoints

Results