Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

341×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:

3.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify933.0ms

Counts

19 → 19

Iterations

Useful iterations: 4 (313.0ms)

Iter	Nodes	Cost
0	39	202
1	111	193
2	331	178
3	937	178
4	2157	173
done	5001	173

prune47.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	20	114
1	28	114
2	54	100
3	172	100
4	636	100
5	2733	100
done	5000	100

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.0b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

19.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
119.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: 3 (437.0ms)

Iter	Nodes	Cost
0	133	2138
1	324	1963
2	1090	1835
3	3803	1655
done	5000	1655

prune297.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(pow (- (* x.re y.re) (* x.im y.im)) 3)
36.7b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

rewrite13.0ms

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:

3.0ms	(- (* x.re y.re) (* x.im y.im))
4.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
4.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

series214.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* x.re y.re) (* x.im y.im))
141.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
37.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

simplify461.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	107	1174
1	288	965
2	1111	882
done	5000	882

prune173.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes209.0ms

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	12	7
2	14	7
done	14	7

end0.0ms

sample500.0ms

Algorithm

intervals

Results

231.0ms

10502×

body

valid