Details

Time bar (total: 2.2m)

sample5.5s

Algorithm
intervals
Results
5.3s1086×body10240exit
79.0ms256×body80valid

simplify239.0ms

Calls
1 calls:
Slowest
239.0ms
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize78.0ms

Local error

Found 4 expressions with local error:

24.8b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
0.3b
(* y.re (log (hypot x.re x.im)))
0.3b
(* (atan2 x.im x.re) y.im)
0.2b
(* (atan2 x.im x.re) y.re)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×log-prod associate-*l*
5×pow1
4×expm1-log1p-u add-cbrt-cube associate-*r* add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative
1×cos-sum log-pow fma-udef
Calls
4 calls:
Slowest
7.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
6.0ms
(* (atan2 x.im x.re) y.re)
6.0ms
(* (atan2 x.im x.re) y.im)
4.0ms
(* y.re (log (hypot x.re x.im)))

series222.0ms

Calls
4 calls:
Slowest
140.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
53.0ms
(* y.re (log (hypot x.re x.im)))
14.0ms
(* (atan2 x.im x.re) y.im)
14.0ms
(* (atan2 x.im x.re) y.re)

simplify892.0ms

Calls
27 calls:
Slowest
307.0ms
(- 1 (+ (* y.im (* (atan2 x.im x.re) (* y.re (log x.im)))) (* 1/2 (* (pow y.im 2) (pow (log x.im) 2)))))
131.0ms
(* -1 (* y.re (log (/ -1 x.re))))
110.0ms
(* -1 (* y.re (log (/ 1 x.re))))
105.0ms
(cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
77.0ms
(cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ 1 x.re)))))

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.2b

end0.0ms

sample2.1m

Algorithm
intervals
Results
2.0m30049×body10240exit
3.4s8000×body80valid