Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

336×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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×	`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.im (* x.im y.re))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify2.4s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
6	2708
5	599
4	165
3	55
2	30
1	25
0	21

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re))))
0.8b	(cbrt (fma x.re y.im (* x.im y.re)))
0.8b	(cbrt (fma x.re y.im (* x.im y.re)))
0.8b	(cbrt (fma x.re y.im (* x.im y.re)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

16.0ms	(* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re))))
1.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
1.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
1.0ms	(cbrt (fma x.re y.im (* x.im y.re)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re))))
149.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
142.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
133.0ms	(cbrt (fma x.re y.im (* x.im y.re)))

simplify2.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	4986
3	1530
2	625
1	258
0	104

prune546.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma x.re y.im (* x.im y.re)))
0.8b	(cbrt (fma x.re y.im (* x.im y.re)))
0.8b	(cbrt (fma x.re y.im (* x.im y.re)))
0.8b	(cbrt (* (* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re)))) (cbrt (fma x.re y.im (* x.im y.re)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
1.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
1.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
39.0ms	(cbrt (* (* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re)))) (cbrt (fma x.re y.im (* x.im y.re)))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
165.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
140.0ms	(cbrt (fma x.re y.im (* x.im y.re)))
172.0ms	(cbrt (* (* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re)))) (cbrt (fma x.re y.im (* x.im y.re)))))

simplify1.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5006
4	1567
3	593
2	266
1	133
0	65

prune435.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes235.0ms

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	7
1	7
0	6

end0.0ms

sample949.0ms

Algorithm

intervals

Results

561.0ms

10344×

body

valid