Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

468×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (120.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	51	17
3	121	17
4	301	14
5	646	11
6	1627	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))

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)))
6.0ms	(* (* x.re x.im) x.im)
18.0ms	(* 3 (* (* x.re x.im) x.im))

series110.0ms

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)
30.0ms	(* 3 (* (* x.re x.im) x.im))

simplify595.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	82	672
1	229	610
2	991	530
done	5000	530

prune109.0ms

Pruning

6 alts after pruning (6 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))

rewrite52.0ms

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))
21.0ms	(* (* 3 (* x.re x.im)) x.im)
6.0ms	(* 3 (* x.re x.im))

series98.0ms

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))

simplify604.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	85	672
1	232	604
2	1071	530
done	5000	530

prune111.0ms

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)))
0.1b	(* (* x.re x.im) x.im)
0.2b	(* 3 (* (* x.re x.im) x.im))

rewrite49.0ms

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)))
6.0ms	(* (* x.re x.im) x.im)
18.0ms	(* 3 (* (* x.re x.im) x.im))

series112.0ms

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)
33.0ms	(* 3 (* (* x.re x.im) x.im))

simplify609.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	82	672
1	229	610
2	991	530
done	5000	530

prune102.0ms

Pruning

7 alts after pruning (5 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)
27.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im)))
7.0ms	(* (cbrt 3) (* x.re x.im))

series284.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im))
83.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im))) x.im)
65.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re x.im)))
41.0ms	(* (cbrt 3) (* x.re x.im))

simplify660.0ms

Counts

106 → 106

Iterations

Useful iterations: done (657.0ms)

Iter	Nodes	Cost
0	124	1767
1	366	1651
2	1607	1101
done	5000	1099

prune198.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

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

sample735.0ms

Algorithm

intervals

Results

521.0ms

14504×

body

valid