Details

Time bar (total: 2.1s)

sample56.0ms

Algorithm
intervals
Results
35.0ms329×body80valid

simplify34.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
34.0ms
(- (* x.re y.re) (* x.im y.im))

prune11.0ms

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))

rewrite17.0ms

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
16.0ms
(- (* x.re y.re) (* x.im y.im))

series54.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(- (* x.re y.re) (* x.im y.im))

simplify285.0ms

Counts
6 → 20
Calls
6 calls:
Slowest
196.0ms
(/ (exp (* x.re y.re)) (exp (* x.im y.im)))
30.0ms
(fma x.re y.re (- (* y.im x.im)))
20.0ms
(- (* y.re x.re) (* y.im x.im))
19.0ms
(- (* y.re x.re) (* y.im x.im))
16.0ms
(fma (- y.im) x.im (* y.im x.im))

prune202.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

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
1.0ms
(fma x.re y.re (- (* x.im y.im)))

series64.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
64.0ms
(fma x.re y.re (- (* x.im y.im)))

simplify67.0ms

Counts
3 → 14
Calls
3 calls:
Slowest
38.0ms
(- (* y.re x.re) (* y.im x.im))
28.0ms
(- (* y.re x.re) (* y.im x.im))
1.0ms
0

prune135.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample1.2s

Algorithm
intervals
Results
769.0ms10417×body80valid