Details

Time bar (total: 2.3m)

sample4.2s

Algorithm
intervals
Results
4.0s1028×body10240exit
67.0ms256×body80valid

simplify382.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
381.0ms
(* (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))))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

26.7b
(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)))
0.2b
(* (atan2 x.im x.re) y.re)
0.2b
(* (atan2 x.im x.re) y.im)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
11×pow1
10×add-cbrt-cube associate-*r* add-exp-log
associate-*l*
log-prod
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
cos-sum log-pow fma-udef
Counts
4 → 81
Calls
4 calls:
Slowest
19.0ms
(* (atan2 x.im x.re) y.im)
10.0ms
(* (atan2 x.im x.re) y.re)
9.0ms
(* y.re (log (hypot x.re x.im)))
4.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series777.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
542.0ms
(* y.re (log (hypot x.re x.im)))
190.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
25.0ms
(* (atan2 x.im x.re) y.im)
20.0ms
(* (atan2 x.im x.re) y.re)

simplify2.0s

Counts
48 → 93
Calls
48 calls:
Slowest
356.0ms
(- 1 (+ (* y.im (* (atan2 x.im x.re) (* y.re (log x.im)))) (* 1/2 (* (pow y.im 2) (pow (log x.im) 2)))))
341.0ms
(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im))
271.0ms
(* (* (* y.re y.re) y.re) (* (* (log (hypot x.re x.im)) (log (hypot x.re x.im))) (log (hypot x.re x.im))))
270.0ms
(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re))
170.0ms
(cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.1m

Algorithm
intervals
Results
2.0m30381×body10240exit
2.9s8000×body80valid