Details

sample55.0ms

Algorithm

intervals

Results

33.0ms

450×

body

valid

simplify96.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

33.0ms	(* x.im (* x.re x.im))
98.0ms	(* 3 (* x.im (* x.re x.im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x.im (* x.re x.im))
41.0ms	(* 3 (* x.im (* x.re x.im)))

simplify73.0ms

Counts: 45 → 45

prune122.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 x.im) (* x.re x.im))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

38.0ms

(* (* 3 x.im) (* x.re x.im))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* (* 3 x.im) (* x.re x.im))

simplify121.0ms

Counts: 25 → 25

prune63.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

91.0ms	(* (* (* 3 x.im) x.re) x.im)
31.0ms	(* (* 3 x.im) x.re)

series50.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (* (* 3 x.im) x.re) x.im)
21.0ms	(* (* 3 x.im) x.re)

simplify33.0ms

Counts: 45 → 45

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x.im (* x.re x.im))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
0.3b	(* (cbrt 3) (* x.im (* x.re x.im)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
10×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`cbrt-prod` `associate-r` `*-commutative` `add-log-exp`

Counts

3 → 76

Calls

3 calls:

17.0ms	(* x.im (* x.re x.im))
147.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
66.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* x.im (* x.re x.im))
109.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
62.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

simplify55.0ms

Counts: 85 → 85

prune202.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify118.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14401×

body

valid