Details

sample57.0ms

Algorithm

intervals

Results

34.0ms

492×

body

valid

simplify109.0ms

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)))

rewrite154.0ms

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:

52.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
17.0ms	(* x.im (* x.re x.im))
83.0ms	(* 3 (* x.im (* x.re x.im)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
20.0ms	(* x.im (* x.re x.im))
24.0ms	(* 3 (* x.im (* x.re x.im)))

simplify169.0ms

Counts: 60 → 60

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite74.0ms

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:

37.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
35.0ms	(* (* 3 x.im) (* x.re x.im))

series124.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
27.0ms	(* (* 3 x.im) (* x.re x.im))

simplify50.0ms

Counts: 40 → 40

prune89.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

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

rewrite208.0ms

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:

94.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
21.0ms	(* (* 3 x.im) x.re)
89.0ms	(* (* (* 3 x.im) x.re) x.im)

series172.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
35.0ms	(* (* 3 x.im) x.re)
43.0ms	(* (* (* 3 x.im) x.re) x.im)

simplify57.0ms

Counts: 60 → 60

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

80.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
16.0ms	(* 3 (* x.re x.im))
60.0ms	(* (* 3 (* x.re x.im)) x.im)

series134.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
29.0ms	(* 3 (* x.re x.im))
41.0ms	(* (* 3 (* x.re x.im)) x.im)

simplify50.0ms

Counts: 60 → 60

prune147.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b 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

14479×

body

valid