Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

335×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

13.0ms

(+ (* x.re y.im) (* x.im y.re))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify1.3s

Counts

14 → 14

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	32	160
1	103	155
2	466	141
3	2202	141
done	5000	141

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
34.5b	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

8.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
10.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

series275.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* x.re y.im) (* x.im y.re))
195.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
40.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

simplify1.5s

Counts

68 → 68

Iterations

Useful iterations: 2 (360.0ms)

Iter	Nodes	Cost
0	96	1090
1	321	915
2	1983	821
done	5001	821

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (+ (* x.re y.im) (* y.re x.im)) 3/2)
1.1b	(pow (+ (* x.re y.im) (* y.re x.im)) 3/2)
7.9b	(cbrt (pow (+ (* x.re y.im) (* y.re x.im)) 3/2))
7.9b	(cbrt (pow (+ (* x.re y.im) (* y.re x.im)) 3/2))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 64

Calls

4 calls:

10.0ms	(pow (+ (* x.re y.im) (* y.re x.im)) 3/2)
10.0ms	(pow (+ (* x.re y.im) (* y.re x.im)) 3/2)
17.0ms	(cbrt (pow (+ (* x.re y.im) (* y.re x.im)) 3/2))
18.0ms	(cbrt (pow (+ (* x.re y.im) (* y.re x.im)) 3/2))

series484.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(pow (+ (* x.re y.im) (* y.re x.im)) 3/2)
124.0ms	(pow (+ (* x.re y.im) (* y.re x.im)) 3/2)
99.0ms	(cbrt (pow (+ (* x.re y.im) (* y.re x.im)) 3/2))
121.0ms	(cbrt (pow (+ (* x.re y.im) (* y.re x.im)) 3/2))

simplify1.3s

Counts

76 → 76

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	85	1182
1	213	1114
2	609	1048
3	2432	1030
done	5000	1018

prune312.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

495.0ms

10350×

body

valid