Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

331×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	20	7
3	24	7
done	24	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

14.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify2.5s

Counts

19 → 19

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	39	202
1	106	193
2	319	178
3	984	178
4	2235	173
done	5000	173

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)
36.8b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite58.0ms

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:

17.0ms	(- (* y.re x.re) (* y.im x.im))
22.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
15.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series340.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* y.re x.re) (* y.im x.im))
179.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
83.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	105	1174
1	273	965
2	904	882
done	5001	878

prune283.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
0.9b	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
7.4b	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
7.4b	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))

rewrite11.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
3.0ms	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
2.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
2.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))

series655.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
163.0ms	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
147.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
160.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	98	1296
1	225	1226
2	541	1156
3	1544	1140
done	5000	1106

prune338.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
7.4b	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
7.4b	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
7.4b	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 70

Calls

4 calls:

2.0ms	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
2.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
2.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
2.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))

series696.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(pow (fma y.re x.re (- (* x.im y.im))) 3/2)
183.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
167.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))
166.0ms	(cbrt (pow (fma y.re x.re (- (* x.im y.im))) 3/2))

simplify1.6s

Counts

82 → 82

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	98	1358
1	225	1297
2	541	1210
3	1544	1188
done	5000	1153

prune496.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

464.0ms

10411×

body

valid