Details

Time bar (total: 2.6s)

sample25.0ms

Algorithm
intervals
Results
15.0ms345×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(+ (* x.re y.im) (* x.im y.re))

prune15.0ms

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))

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:
Slowest
0.0ms
(fma x.re y.im (* x.im y.re))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
40.0ms
(fma x.re y.im (* x.im y.re))

simplify640.0ms

Counts
14 → 14
Calls
14 calls:
Slowest
457.0ms
(* (* (fma x.re y.im (* x.im y.re)) (fma x.re y.im (* x.im y.re))) (fma x.re y.im (* x.im y.re)))
27.0ms
(cbrt (fma x.re y.im (* x.im y.re)))
25.0ms
(log1p (fma x.re y.im (* x.im y.re)))
23.0ms
(* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re))))
18.0ms
(exp (fma x.re y.im (* x.im y.re)))

prune108.0ms

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 y.re x.im (* y.im x.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:
Slowest
0.0ms
(fma y.re x.im (* y.im x.re))

series48.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
48.0ms
(fma y.re x.im (* y.im x.re))

simplify412.0ms

Counts
14 → 14
Calls
14 calls:
Slowest
177.0ms
(* (* (fma y.re x.im (* y.im x.re)) (fma y.re x.im (* y.im x.re))) (fma y.re x.im (* y.im x.re)))
39.0ms
(exp (fma y.re x.im (* y.im x.re)))
30.0ms
(* (cbrt (fma y.re x.im (* y.im x.re))) (cbrt (fma y.re x.im (* y.im x.re))))
29.0ms
(sqrt (fma y.re x.im (* y.im x.re)))
25.0ms
(cbrt (fma y.re x.im (* y.im x.re)))

prune150.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample1.1s

Algorithm
intervals
Results
724.0ms10499×body80valid