Details

sample47.0ms

Algorithm

intervals

Results

30.0ms

482×

body

valid

simplify75.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.1b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

44.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
16.0ms	(* x.im (* x.re x.im))
49.0ms	(* 3 (* x.im (* x.re x.im)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
20.0ms	(* x.im (* x.re x.im))
23.0ms	(* 3 (* x.im (* x.re x.im)))

simplify33.0ms

Counts: 60 → 60

prune110.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.2b	(* (* 3 x.im) (* x.re x.im))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

35.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
27.0ms	(* (* 3 x.im) (* x.re x.im))

series79.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
24.0ms	(* (* 3 x.im) (* x.re x.im))

simplify36.0ms

Counts: 40 → 40

prune73.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.2b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

56.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
58.0ms	(* (* (* 3 x.im) x.re) x.im)
18.0ms	(* (* 3 x.im) x.re)

series103.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
24.0ms	(* (* (* 3 x.im) x.re) x.im)
21.0ms	(* (* 3 x.im) x.re)

simplify46.0ms

Counts: 60 → 60

prune106.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
0.1b	(* x.im (* x.re x.im))
0.2b	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
0.2b	(* (sqrt 3) (* x.im (* x.re x.im)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-l`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 81

Calls

4 calls:

103.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
16.0ms	(* x.im (* x.re x.im))
118.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
49.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
20.0ms	(* x.im (* x.re x.im))
88.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
54.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))

simplify48.0ms

Counts: 93 → 93

prune163.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

14519×

body

valid