Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
13.0ms317×body80valid

simplify22.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(- (* x.re y.re) (* x.im y.im))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
Slowest
15.0ms
(- (* x.re y.re) (* x.im y.im))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(- (* x.re y.re) (* x.im y.im))

simplify323.0ms

Counts
6 → 20
Calls
6 calls:
Slowest
215.0ms
(/ (exp (* x.re y.re)) (exp (* x.im y.im)))
36.0ms
(- (* y.re x.re) (* y.im x.im))
29.0ms
(- (* y.re x.re) (* y.im x.im))
22.0ms
(fma (- y.im) x.im (* y.im x.im))
18.0ms
(fma x.re y.re (- (* y.im x.im)))

prune137.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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

series74.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
74.0ms
(fma x.re y.re (- (* x.im y.im)))

simplify69.0ms

Counts
3 → 14
Calls
3 calls:
Slowest
33.0ms
(- (* y.re x.re) (* y.im x.im))
33.0ms
(- (* y.re x.re) (* y.im x.im))
1.0ms
0

prune193.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample984.0ms

Algorithm
intervals
Results
707.0ms10379×body80valid