Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

466×

body

valid

simplify147.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	5
done	5002	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b	(* 3 (* x.im (* x.re x.re)))
9.0b	(* x.im (* x.re x.re))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

46.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
40.0ms	(* 3 (* x.im (* x.re x.re)))
18.0ms	(* x.im (* x.re x.re))

series115.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
34.0ms	(* 3 (* x.im (* x.re x.re)))
29.0ms	(* x.im (* x.re x.re))

simplify147.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	205	293
1	839	254
2	4612	251
3	5001	251
done	5001	251

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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:

47.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
18.0ms	(* (* x.im x.re) x.re)
42.0ms	(* 3 (* (* x.im x.re) x.re))

series118.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
29.0ms	(* (* x.im x.re) x.re)
35.0ms	(* 3 (* (* x.im x.re) x.re))

simplify39.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	218	293
1	1110	254
2	5002	251
done	5002	251

prune100.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

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:

49.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
45.0ms	(* (* 3 (* x.im x.re)) x.re)
15.0ms	(* 3 (* x.im x.re))

series106.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
32.0ms	(* (* 3 (* x.im x.re)) x.re)
20.0ms	(* 3 (* x.im x.re))

simplify42.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	218	289
1	1116	254
2	5001	251
done	5001	251

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite126.0ms

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:

56.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
52.0ms	(* (* (* 3 x.im) x.re) x.re)
16.0ms	(* (* 3 x.im) x.re)

series106.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
35.0ms	(* (* (* 3 x.im) x.re) x.re)
20.0ms	(* (* 3 x.im) x.re)

simplify45.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	220	291
1	1258	254
2	5001	251
done	5001	251

prune86.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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	11	5
1	11	5
done	11	5

end0.0ms

sample817.0ms

Algorithm

intervals

Results

502.0ms

14432×

body

valid