Details

sample69.0ms

Algorithm

intervals

Results

41.0ms

436×

body

valid

simplify2.9s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3 (* x.im (* x.re x.re)))
8.3b	(* x.im (* x.re x.re))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

70.0ms	(* 3 (* x.im (* x.re x.re)))
19.0ms	(* x.im (* x.re x.re))

series104.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 3 (* x.im (* x.re x.re)))
53.0ms	(* x.im (* x.re x.re))

simplify1.4s

Counts: 46 → 46

prune85.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

64.0ms	(* 3 (* (* x.im x.re) x.re))
31.0ms	(* (* x.im x.re) x.re)

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* 3 (* (* x.im x.re) x.re))
50.0ms	(* (* x.im x.re) x.re)

simplify486.0ms

Counts: 45 → 45

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

191.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
23.0ms	(* (* x.im x.re) x.re)
64.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

series255.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
48.0ms	(* (* x.im x.re) x.re)
84.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

simplify868.0ms

Counts: 85 → 85

prune203.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite870.0ms

Algorithm

rewrite-expression-head

Rules

77×	`pow1` `add-exp-log`
54×	`pow-prod-down` `prod-exp` `cbrt-unprod`
43×	`add-cbrt-cube`
20×	`associate-l`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `sqrt-prod`
4×	`*-commutative` `add-log-exp`

Counts

4 → 115

Calls

4 calls:

545.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re))))
79.0ms	(* (cbrt (sqrt 3)) (* (* x.im x.re) x.re))
208.0ms	(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re)))
31.0ms	(* (* x.im x.re) x.re)

series1.3s

Counts

4 → 12

Calls

4 calls:

595.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re))))
278.0ms	(* (cbrt (sqrt 3)) (* (* x.im x.re) x.re))
366.0ms	(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* (* x.im x.re) x.re)))
47.0ms	(* (* x.im x.re) x.re)

simplify1.2s

Counts: 127 → 127

prune466.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.0s

14378×

body

valid