Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

468×

body

valid

simplify1.5s

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)))

rewrite148.0ms

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:

60.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
26.0ms	(* x.im (* x.re x.im))
59.0ms	(* 3 (* x.im (* x.re x.im)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
20.0ms	(* x.im (* x.re x.im))
32.0ms	(* 3 (* x.im (* x.re x.im)))

simplify583.0ms

Counts: 60 → 60

prune220.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite110.0ms

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:

66.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
43.0ms	(* (* 3 x.im) (* x.re x.im))

series88.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
26.0ms	(* (* 3 x.im) (* x.re x.im))

simplify705.0ms

Counts: 40 → 40

prune120.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite201.0ms

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:

89.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
85.0ms	(* (* (* 3 x.im) x.re) x.im)
23.0ms	(* (* 3 x.im) x.re)

series151.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
23.0ms	(* (* (* 3 x.im) x.re) x.im)
31.0ms	(* (* 3 x.im) x.re)

simplify775.0ms

Counts: 60 → 60

prune194.0ms

Pruning

9 alts after pruning (7 fresh and 2 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) (* x.im (* x.re x.im)))
0.3b	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

rewrite425.0ms

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:

161.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
35.0ms	(* x.im (* x.re x.im))
62.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
163.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
20.0ms	(* x.im (* x.re x.im))
75.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
124.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

simplify797.0ms

Counts: 93 → 93

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.9s

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14637×

body

valid