Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

457×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (117.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	51	17
3	121	17
4	301	14
5	646	11
6	1604	11
done	5001	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

21.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
6.0ms	(* (* x.re x.im) x.im)
17.0ms	(* 3 (* (* x.re x.im) x.im))

series115.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
26.0ms	(* (* x.re x.im) x.im)
34.0ms	(* 3 (* (* x.re x.im) x.im))

simplify862.0ms

Counts

60 → 60

Iterations

Useful iterations: done (861.0ms)

Iter	Nodes	Cost
0	82	672
1	229	610
2	971	530
done	5000	528

prune105.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))
0.2b	(* (* 3 (* x.re x.im)) x.im)
0.3b	(* 3 (* x.re x.im))

rewrite46.0ms

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:

22.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
17.0ms	(* (* 3 (* x.re x.im)) x.im)
6.0ms	(* 3 (* x.re x.im))

series99.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
32.0ms	(* (* 3 (* x.re x.im)) x.im)
16.0ms	(* 3 (* x.re x.im))

simplify755.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (128.0ms)

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

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

25.0ms	(- (pow x.re 3) (* (* (* 3 x.re) x.im) x.im))
21.0ms	(* (* (* 3 x.re) x.im) x.im)
6.0ms	(* (* 3 x.re) x.im)

series100.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* (* (* 3 x.re) x.im) x.im))
32.0ms	(* (* (* 3 x.re) x.im) x.im)
17.0ms	(* (* 3 x.re) x.im)

simplify910.0ms

Counts

60 → 60

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	83	673
1	230	607
2	1102	535
done	5000	529

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 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	(* (* x.re x.im) x.im)
0.3b	(* (cbrt 3) (* (* x.re x.im) x.im))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
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 → 88

Calls

4 calls:

61.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im))))
57.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
6.0ms	(* (* x.re x.im) x.im)
22.0ms	(* (cbrt 3) (* (* x.re x.im) x.im))

series272.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im))))
84.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
26.0ms	(* (* x.re x.im) x.im)
67.0ms	(* (cbrt 3) (* (* x.re x.im) x.im))

simplify656.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	117	1549
1	344	1440
2	1476	1026
done	5000	1026

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b 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

sample757.0ms

Algorithm

intervals

Results

534.0ms

14459×

body

valid