Details

sample39.0ms

Algorithm

intervals

Results

14.0ms

335×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	7	7
1	11	6
2	14	6
done	14	6

prune13.0ms

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

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	20	102
1	24	100
2	63	88
3	217	88
4	940	88
done	5001	88

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x.re y.im (* x.im y.re))
0.2b	(* (sqrt (fma x.re y.im (* x.im y.re))) (sqrt (fma x.re y.im (* x.im y.re))))
1.3b	(sqrt (fma x.re y.im (* x.im y.re)))
1.3b	(sqrt (fma x.re y.im (* x.im y.re)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x.re y.im (* x.im y.re))
13.0ms	(* (sqrt (fma x.re y.im (* x.im y.re))) (sqrt (fma x.re y.im (* x.im y.re))))
2.0ms	(sqrt (fma x.re y.im (* x.im y.re)))
2.0ms	(sqrt (fma x.re y.im (* x.im y.re)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma x.re y.im (* x.im y.re))
57.0ms	(* (sqrt (fma x.re y.im (* x.im y.re))) (sqrt (fma x.re y.im (* x.im y.re))))
117.0ms	(sqrt (fma x.re y.im (* x.im y.re)))
117.0ms	(sqrt (fma x.re y.im (* x.im y.re)))

simplify967.0ms

Counts

103 → 103

Iterations

Useful iterations: done (964.0ms)

Iter	Nodes	Cost
0	82	1472
1	164	995
2	653	901
done	5000	872

prune283.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes155.0ms

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	6	6
1	7	6
done	7	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

507.0ms

10350×

body

valid