Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

468×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (172.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	53	17
3	134	17
4	321	12
5	670	11
6	1623	11
done	5000	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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:

23.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
7.0ms	(* (* x.re x.im) x.im)
21.0ms	(* 3 (* (* x.re x.im) x.im))

series107.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
29.0ms	(* (* x.re x.im) x.im)
29.0ms	(* 3 (* (* x.re x.im) x.im))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	82	672
1	229	610
2	971	530
done	5001	528

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
0.1b	(* (* 3 (* x.re x.im)) x.im)
0.3b	(* 3 (* x.re x.im))

rewrite51.0ms

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:

25.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
18.0ms	(* (* 3 (* x.re x.im)) x.im)
6.0ms	(* 3 (* x.re x.im))

series99.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
29.0ms	(* (* 3 (* x.re x.im)) x.im)
17.0ms	(* 3 (* x.re x.im))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	85	672
1	232	604
2	1056	530
done	5000	530

prune114.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:

25.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
7.0ms	(* (* x.re x.im) x.im)
17.0ms	(* 3 (* (* x.re x.im) x.im))

series107.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
26.0ms	(* (* x.re x.im) x.im)
29.0ms	(* 3 (* (* x.re x.im) x.im))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	82	672
1	229	610
2	971	530
done	5001	528

prune118.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im))
0.1b	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im)))
0.3b	(* (cbrt 3) (* x.re x.im))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
8×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 94

Calls

4 calls:

98.0ms	(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im))
100.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im)
26.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im)))
7.0ms	(* (cbrt 3) (* x.re x.im))

series285.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im))
83.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im)
66.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im)))
42.0ms	(* (cbrt 3) (* x.re x.im))

simplify826.0ms

Counts

106 → 106

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	124	1767
1	366	1651
2	1594	1101
done	5001	1099

prune195.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample765.0ms

Algorithm

intervals

Results

531.0ms

14504×

body

valid