Details

sample20.0ms

Algorithm

intervals

Results

6.0ms

338×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	20	3
2	24	3
3	24	3
done	24	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

9.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify81.0ms

Counts

19 → 19

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	105	92
1	362	83
2	1107	83
3	2622	80
4	5001	80
done	5001	80

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
35.3b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite31.0ms

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×	`expm1-log1p-u` `pow-unpow` `flip3--` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `fma-neg` `pow1/3` `diff-log` `prod-diff` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 68

Calls

3 calls:

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

series235.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* y.re x.re) (* y.im x.im))
142.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
46.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify42.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	270	465
1	1152	434
2	5001	428
done	5001	428

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
0.3b	(pow (cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3)) 3)
35.3b	(cbrt (pow (cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3)) 3))
35.3b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
48×	`unpow-prod-down` `cube-prod`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cube-div`
8×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
6×	`pow1` `add-exp-log` `pow-unpow`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

13.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
20.0ms	(pow (cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3)) 3)
20.0ms	(cbrt (pow (cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3)) 3))
10.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series376.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
140.0ms	(pow (cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3)) 3)
46.0ms	(cbrt (pow (cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3)) 3))
43.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify55.0ms

Counts

165 → 165

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	404	1188
1	1327	1096
2	5001	1072
done	5001	1072

prune228.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

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	9	3
1	9	3
done	9	3

end0.0ms

sample555.0ms

Algorithm

intervals

Results

201.0ms

10551×

body

valid