Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

471×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (32.0ms)

Iter	Nodes	Cost
0	11	19
1	19	19
2	46	17
3	100	17
4	212	11
5	430	11
6	955	11
7	2776	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	(- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3))
0.2b	(* 3 (* (* x.re x.im) x.re))
0.2b	(* (* x.re x.im) x.re)

rewrite48.0ms

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	(- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3))
18.0ms	(* 3 (* (* x.re x.im) x.re))
7.0ms	(* (* x.re x.im) x.re)

series112.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3))
20.0ms	(* 3 (* (* x.re x.im) x.re))
18.0ms	(* (* x.re x.im) x.re)

simplify2.6s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	83	664
1	218	610
2	810	528
3	4035	524
done	5000	524

prune113.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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

series111.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (* (* 3 (* x.re x.im)) x.re) (pow x.im 3))
21.0ms	(* (* 3 (* x.re x.im)) x.re)
17.0ms	(* 3 (* x.re x.im))

simplify1.7s

Counts

60 → 60

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	85	664
1	225	602
2	930	532
done	5000	522

prune114.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 1 (* (* 3 x.re) x.im)) x.re) (pow x.im 3))
0.1b	(* (* 1 (* (* 3 x.re) x.im)) x.re)
0.3b	(* (* 3 x.re) x.im)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`pow1` `prod-exp` `add-cbrt-cube`
13×	`pow-prod-down` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`1-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 57

Calls

3 calls:

66.0ms	(- (* (* 1 (* (* 3 x.re) x.im)) x.re) (pow x.im 3))
62.0ms	(* (* 1 (* (* 3 x.re) x.im)) x.re)
7.0ms	(* (* 3 x.re) x.im)

series108.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* (* 1 (* (* 3 x.re) x.im)) x.re) (pow x.im 3))
20.0ms	(* (* 1 (* (* 3 x.re) x.im)) x.re)
17.0ms	(* (* 3 x.re) x.im)

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	109	849
1	305	669
2	1169	589
done	5001	579

prune126.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

58.0ms	(- (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (pow x.im 3))
7.0ms	(* (* x.re x.im) x.re)
20.0ms	(* (sqrt 3) (* (* x.re x.im) x.re))
55.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re))) (pow x.im 3))
17.0ms	(* (* x.re x.im) x.re)
52.0ms	(* (sqrt 3) (* (* x.re x.im) x.re))
84.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))

simplify960.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	108	1270
1	294	998
2	1088	824
done	5000	824

prune152.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes92.0ms

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

sample747.0ms

Algorithm

intervals

Results

509.0ms

14441×

body

valid