Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

321×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `prod-diff` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 17

Calls

1 calls:

11.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify2.0s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
4	2230
3	970
2	324
1	108
0	40

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
6	3960
5	795
4	197
3	60
2	37
1	31
0	22

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))))
2.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

47.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
143.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
128.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
159.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2661
2	913
1	344
0	136

prune449.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
2	14
1	12
0	7

end0.0ms

sample777.0ms

Algorithm

intervals

Results

476.0ms

10507×

body

valid