0.808 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.430 * * * [progress]: [2/2] Setting up program. 0.439 * [progress]: [Phase 2 of 3] Improving. 0.441 * [simplify]: Simplifying using # : (* (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)))) 0.447 * * [simplify]: iteration 0 : 31 enodes (cost 21 ) 0.448 * * [simplify]: iteration 1 : 53 enodes (cost 20 ) 0.450 * * [simplify]: iteration 2 : 84 enodes (cost 20 ) 0.451 * * [simplify]: iteration 3 : 203 enodes (cost 20 ) 0.460 * * [simplify]: iteration 4 : 879 enodes (cost 20 ) 0.491 * * [simplify]: iteration 5 : 5001 enodes (cost 20 ) 0.492 * [simplify]: Simplified to: (/ (* (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)) (exp (* (atan2 x.im x.re) y.im))) 0.504 * * [progress]: iteration 1 / 4 0.504 * * * [progress]: picking best candidate 0.511 * * * * [pick]: Picked # 0.511 * * * [progress]: localizing error 0.543 * * * [progress]: generating rewritten candidates 0.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.552 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 0.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.565 * * * [progress]: generating series expansions 0.565 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.570 * [approximate]: Approximating (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in (x.re x.im y.im y.re) around 0 0.580 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in x.im 0.581 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.im 0.582 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.re 0.587 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in x.im 0.587 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.im 0.587 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.re 0.591 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.im 0.591 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.re 0.594 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.re 0.602 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in x.im 0.618 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.im 0.618 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.re 0.618 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.im 0.618 * [taylor]: Taking taylor expansion of (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log (sqrt (+ (pow x.re 2) (pow x.im 2))))))) in y.re 0.618 * [approximate]: Approximating (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in (x.re x.im y.im y.re) around 0 0.637 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in x.im 0.638 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.im 0.639 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.re 0.648 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in x.im 0.648 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.im 0.648 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.re 0.652 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.im 0.652 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.re 0.652 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.re 0.659 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in x.im 0.672 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.im 0.673 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.re 0.673 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.im 0.673 * [taylor]: Taking taylor expansion of (cos (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re))) in y.re 0.673 * [approximate]: Approximating (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in (x.re x.im y.im y.re) around 0 0.693 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in x.im 0.694 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.im 0.694 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.re 0.699 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in x.im 0.699 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.im 0.699 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.re 0.703 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.im 0.703 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.re 0.703 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.re 0.710 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in x.im 0.722 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.im 0.723 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.re 0.723 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.im 0.723 * [taylor]: Taking taylor expansion of (cos (neg (+ (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.im) (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)))) in y.re 0.723 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 0.723 * [approximate]: Approximating (sqrt (+ (pow x.re 2) (pow x.im 2))) in (x.re x.im) around 0 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.732 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.750 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.768 * [approximate]: Approximating (sqrt (+ (pow x.re 2) (pow x.im 2))) in (x.re x.im) around 0 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 0.774 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.792 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 0.811 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.811 * [approximate]: Approximating (* (atan2 x.im x.re) y.re) in (x.im x.re y.re) around 0 0.811 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in x.re 0.811 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in y.re 0.811 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in x.re 0.811 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in y.re 0.811 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in y.re 0.812 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in x.re 0.812 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in y.re 0.812 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in y.re 0.813 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.re) in y.re 0.814 * [approximate]: Approximating (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in (x.im x.re y.re) around 0 0.814 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in x.re 0.814 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.815 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in x.re 0.815 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.815 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.816 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in x.re 0.816 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.816 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.816 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.817 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in x.re 0.817 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.817 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.817 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.818 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.re) in y.re 0.818 * [approximate]: Approximating (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in (x.im x.re y.re) around 0 0.819 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in x.re 0.819 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in x.re 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.822 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in x.re 0.822 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.822 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.823 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in x.re 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.828 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.re)) in y.re 0.828 * * * [progress]: simplifying candidates 0.829 * [simplify]: Simplifying using # : (* (cos (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)) (cos (* (atan2 x.im x.re) y.re))) (* (sin (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)) (sin (* (atan2 x.im x.re) y.re))) (log (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (cbrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (cbrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))) (cbrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (* (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sqrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sqrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (* (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (* (cbrt (+ (* x.re x.re) (* x.im x.im))) (cbrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt 1) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) (/ 1 2) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (* (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (* (cbrt (+ (* x.re x.re) (* x.im x.im))) (cbrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt 1) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) (/ 1 2) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (atan2 x.im x.re) y.re) (+ (log (atan2 x.im x.re)) (log y.re)) (log (* (atan2 x.im x.re) y.re)) (exp (* (atan2 x.im x.re) y.re)) (* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re)) (* (cbrt (* (atan2 x.im x.re) y.re)) (cbrt (* (atan2 x.im x.re) y.re))) (cbrt (* (atan2 x.im x.re) y.re)) (* (* (* (atan2 x.im x.re) y.re) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.re)) (sqrt (* (atan2 x.im x.re) y.re)) (sqrt (* (atan2 x.im x.re) y.re)) (* (sqrt (atan2 x.im x.re)) (sqrt y.re)) (* (sqrt (atan2 x.im x.re)) (sqrt y.re)) (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (* (atan2 x.im x.re) (sqrt y.re)) (* (atan2 x.im x.re) 1) (* (cbrt (atan2 x.im x.re)) y.re) (* (sqrt (atan2 x.im x.re)) y.re) (* (atan2 x.im x.re) y.re) 1 (cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ 1 x.re))))) (cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re))))) x.im x.re (* -1 x.re) x.im x.re (* -1 x.re) (* (atan2 x.im x.re) y.re) (* (atan2 x.im x.re) y.re) (* (atan2 x.im x.re) y.re) 0.833 * * [simplify]: iteration 0 : 189 enodes (cost 422 ) 0.836 * * [simplify]: iteration 1 : 491 enodes (cost 385 ) 0.844 * * [simplify]: iteration 2 : 1112 enodes (cost 381 ) 0.860 * * [simplify]: iteration 3 : 2385 enodes (cost 381 ) 0.896 * * [simplify]: iteration 4 : 5001 enodes (cost 381 ) 0.899 * [simplify]: Simplified to: (* (cos (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)) (cos (* (atan2 x.im x.re) y.re))) (* (sin (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)) (sin (* (atan2 x.im x.re) y.re))) (log (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (cbrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (cbrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))) (cbrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (pow (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) 3) (sqrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sqrt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 3) (fabs (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) 1 (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) 1/2 (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 3) (fabs (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) 1 (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) 1/2 (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (atan2 x.im x.re) y.re) (log (* (atan2 x.im x.re) y.re)) (log (* (atan2 x.im x.re) y.re)) (exp (* (atan2 x.im x.re) y.re)) (pow (* (atan2 x.im x.re) y.re) 3) (* (cbrt (* (atan2 x.im x.re) y.re)) (cbrt (* (atan2 x.im x.re) y.re))) (cbrt (* (atan2 x.im x.re) y.re)) (pow (* (atan2 x.im x.re) y.re) 3) (sqrt (* (atan2 x.im x.re) y.re)) (sqrt (* (atan2 x.im x.re) y.re)) (* (sqrt (atan2 x.im x.re)) (sqrt y.re)) (* (sqrt (atan2 x.im x.re)) (sqrt y.re)) (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (* (atan2 x.im x.re) (sqrt y.re)) (atan2 x.im x.re) (* (cbrt (atan2 x.im x.re)) y.re) (* (sqrt (atan2 x.im x.re)) y.re) (* (atan2 x.im x.re) y.re) 1 (cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ 1 x.re))))) (cos (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re))))) x.im x.re (* -1 x.re) x.im x.re (* -1 x.re) (* (atan2 x.im x.re) y.re) (* (atan2 x.im x.re) y.re) (* (atan2 x.im x.re) y.re) 0.900 * * * [progress]: adding candidates to table 1.281 * * [progress]: iteration 2 / 4 1.281 * * * [progress]: picking best candidate 1.293 * * * * [pick]: Picked # 1.293 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 1.313 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.327 * * * [progress]: generating series expansions 1.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 1.327 * [approximate]: Approximating (sqrt (+ (pow x.re 2) (pow x.im 2))) in (x.re x.im) around 0 1.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 1.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 1.334 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.354 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 1.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 1.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.371 * [approximate]: Approximating (* (atan2 x.im x.re) y.im) in (x.im x.re y.im) around 0 1.371 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 1.371 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 1.371 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 1.371 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 1.371 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 1.372 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 1.372 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 1.372 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 1.373 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 1.374 * [approximate]: Approximating (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in (x.im x.re y.im) around 0 1.374 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 1.374 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.374 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 1.374 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.375 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.376 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 1.376 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.376 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.376 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.377 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 1.377 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.377 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.377 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.377 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 1.378 * [approximate]: Approximating (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in (x.im x.re y.im) around 0 1.378 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 1.379 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.379 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 1.379 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.380 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.382 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 1.382 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.382 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.383 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.386 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 1.386 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.386 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.386 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.387 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 1.388 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.388 * [approximate]: Approximating (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in (x.re x.im y.re) around 0 1.391 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in x.im 1.391 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 1.392 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in x.im 1.392 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 1.393 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 1.397 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in x.im 1.401 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 1.401 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 1.404 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 1.406 * [approximate]: Approximating (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in (x.re x.im y.re) around 0 1.420 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 1.420 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.421 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 1.421 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.422 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.430 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 1.433 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.433 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.435 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.443 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 1.443 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.446 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.446 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.449 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 1.450 * [approximate]: Approximating (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in (x.re x.im y.re) around 0 1.464 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 1.464 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.465 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 1.465 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.466 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.471 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 1.475 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.475 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.476 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.485 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 1.485 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.487 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.487 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.489 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 1.490 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 1.490 * [approximate]: Approximating (+ (pow x.re 2) (pow x.im 2)) in (x.re x.im) around 0 1.490 * [taylor]: Taking taylor expansion of (+ (pow x.re 2) (pow x.im 2)) in x.im 1.491 * [taylor]: Taking taylor expansion of (+ (pow x.re 2) (pow x.im 2)) in x.im 1.492 * [taylor]: Taking taylor expansion of (+ (pow x.re 2) (pow x.im 2)) in x.im 1.493 * [taylor]: Taking taylor expansion of (+ (pow x.re 2) (pow x.im 2)) in x.im 1.496 * [taylor]: Taking taylor expansion of (+ (pow x.re 2) (pow x.im 2)) in x.im 1.496 * [approximate]: Approximating (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in (x.re x.im) around 0 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.511 * [approximate]: Approximating (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in (x.re x.im) around 0 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))) in x.im 1.524 * * * [progress]: simplifying candidates 1.525 * [simplify]: Simplifying using # : (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (* (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (* (cbrt (+ (* x.re x.re) (* x.im x.im))) (cbrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt 1) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) (/ 1 2) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (atan2 x.im x.re) y.im) (+ (log (atan2 x.im x.re)) (log y.im)) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im)) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (* (* (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im)) (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (* (atan2 x.im x.re) (sqrt y.im)) (* (atan2 x.im x.re) 1) (* (cbrt (atan2 x.im x.re)) y.im) (* (sqrt (atan2 x.im x.re)) y.im) (* (atan2 x.im x.re) y.im) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (+ (log (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (log y.re)) (log (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (exp (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (* (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (* (* y.re y.re) y.re)) (* (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re))) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (* (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt y.re) (cbrt y.re))) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) 1) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (cbrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (exp (* x.re x.re)) (exp (* x.im x.im))) (log (+ (* x.re x.re) (* x.im x.im))) (exp (+ (* x.re x.re) (* x.im x.im))) (* (cbrt (+ (* x.re x.re) (* x.im x.im))) (cbrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (+ (* x.re x.re) (* x.im x.im))) (* (* (+ (* x.re x.re) (* x.im x.im)) (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)) (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))) (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))) (- (* x.re x.re) (* x.im x.im)) x.im x.re (* -1 x.re) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* y.re (log x.im)) (* -1 (* y.re (log (/ 1 x.re)))) (* -1 (* y.re (log (/ -1 x.re)))) (+ (pow x.re 2) (pow x.im 2)) (+ (pow x.re 2) (pow x.im 2)) (+ (pow x.re 2) (pow x.im 2)) 1.529 * * [simplify]: iteration 0 : 265 enodes (cost 435 ) 1.534 * * [simplify]: iteration 1 : 1023 enodes (cost 385 ) 1.549 * * [simplify]: iteration 2 : 3343 enodes (cost 382 ) 1.601 * * [simplify]: iteration 3 : 5001 enodes (cost 382 ) 1.604 * [simplify]: Simplified to: (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 3) (fabs (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) 1 (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) 1/2 (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (atan2 x.im x.re) y.im) (log (* (atan2 x.im x.re) y.im)) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (* (atan2 x.im x.re) (sqrt y.im)) (atan2 x.im x.re) (* (cbrt (atan2 x.im x.re)) y.im) (* (sqrt (atan2 x.im x.re)) y.im) (* (atan2 x.im x.re) y.im) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (log (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) 3) (* (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re))) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (pow (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) 3) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt y.re) (cbrt y.re))) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt y.re)) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (cbrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (exp (+ (* x.re x.re) (* x.im x.im))) (log (+ (* x.re x.re) (* x.im x.im))) (exp (+ (* x.re x.re) (* x.im x.im))) (* (cbrt (+ (* x.re x.re) (* x.im x.im))) (cbrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (+ (* x.re x.re) (* x.im x.im))) (pow (+ (* x.re x.re) (* x.im x.im)) 3) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)) (- (pow x.im 4) (- (* (* x.re x.re) (* x.im x.im)) (pow x.re 4))) (+ (* (neg (pow x.im 3)) x.im) (pow x.re 4)) (- (* x.re x.re) (* x.im x.im)) x.im x.re (* -1 x.re) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* y.re (log x.im)) (* (log x.re) y.re) (* -1 (* y.re (log (/ -1 x.re)))) (+ (* x.re x.re) (* x.im x.im)) (+ (* x.re x.re) (* x.im x.im)) (+ (* x.re x.re) (* x.im x.im)) 1.604 * * * [progress]: adding candidates to table 2.113 * * [progress]: iteration 3 / 4 2.113 * * * [progress]: picking best candidate 2.141 * * * * [pick]: Picked # 2.141 * * * [progress]: localizing error 2.159 * * * [progress]: generating rewritten candidates 2.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 2.163 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 2.168 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.175 * * * [progress]: generating series expansions 2.175 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 2.175 * [approximate]: Approximating (sqrt (+ (pow x.re 2) (pow x.im 2))) in (x.re x.im) around 0 2.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 2.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 2.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 2.181 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x.re 2) (pow x.im 2))) in x.im 2.182 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 2.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.201 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in (x.re x.im) around 0 2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))) in x.im 2.218 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.218 * [approximate]: Approximating (* (atan2 x.im x.re) y.im) in (x.im x.re y.im) around 0 2.219 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.219 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.219 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.219 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.219 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.220 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.220 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.220 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.220 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.221 * [approximate]: Approximating (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in (x.im x.re y.im) around 0 2.222 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.222 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.222 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.222 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.222 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.223 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.223 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.223 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.223 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.225 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.225 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.225 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.225 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.225 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.226 * [approximate]: Approximating (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in (x.im x.re y.im) around 0 2.226 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.228 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.230 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.230 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.230 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.231 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.234 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.234 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.234 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.234 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.235 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.236 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 2.236 * [approximate]: Approximating (* (atan2 x.im x.re) y.im) in (x.im x.re y.im) around 0 2.236 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.236 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.237 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.237 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.237 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.238 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.238 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.238 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.238 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.239 * [approximate]: Approximating (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in (x.im x.re y.im) around 0 2.240 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.240 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.240 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.240 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.240 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.241 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.241 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.241 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.241 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.243 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.243 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.243 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.243 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.243 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.244 * [approximate]: Approximating (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in (x.im x.re y.im) around 0 2.244 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.244 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.245 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.245 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.246 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.248 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.248 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.248 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.249 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.252 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.252 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.252 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.252 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.254 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 2.254 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.254 * [approximate]: Approximating (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in (x.re x.im y.re) around 0 2.257 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in x.im 2.258 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 2.259 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in x.im 2.259 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 2.260 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 2.264 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in x.im 2.268 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 2.268 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 2.272 * [taylor]: Taking taylor expansion of (* y.re (log (sqrt (+ (pow x.re 2) (pow x.im 2))))) in y.re 2.275 * [approximate]: Approximating (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in (x.re x.im y.re) around 0 2.289 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 2.289 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.290 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 2.290 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.291 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.297 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 2.300 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.300 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.302 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.310 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in x.im 2.310 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.312 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.312 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.315 * [taylor]: Taking taylor expansion of (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re) in y.re 2.316 * [approximate]: Approximating (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in (x.re x.im y.re) around 0 2.330 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 2.331 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.332 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 2.332 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.333 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.338 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 2.341 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.342 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.343 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.356 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in x.im 2.356 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.358 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.359 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.361 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (+ (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))) y.re)) in y.re 2.361 * * * [progress]: simplifying candidates 2.362 * [simplify]: Simplifying using # : (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (* (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (* (cbrt (+ (* x.re x.re) (* x.im x.im))) (cbrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt 1) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) (/ 1 2) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (* (cbrt (exp (* (atan2 x.im x.re) y.im))) (cbrt (exp (* (atan2 x.im x.re) y.im))))) (log (cbrt (exp (* (atan2 x.im x.re) y.im)))) (log (sqrt (exp (* (atan2 x.im x.re) y.im)))) (log (sqrt (exp (* (atan2 x.im x.re) y.im)))) (log 1) (log (exp (* (atan2 x.im x.re) y.im))) (log (exp (atan2 x.im x.re))) (log (exp (* (atan2 x.im x.re) y.im))) (log (exp (atan2 x.im x.re))) (log (log (exp (* (atan2 x.im x.re) y.im)))) (exp (log (exp (* (atan2 x.im x.re) y.im)))) (* (cbrt (log (exp (* (atan2 x.im x.re) y.im)))) (cbrt (log (exp (* (atan2 x.im x.re) y.im))))) (cbrt (log (exp (* (atan2 x.im x.re) y.im)))) (* (* (log (exp (* (atan2 x.im x.re) y.im))) (log (exp (* (atan2 x.im x.re) y.im)))) (log (exp (* (atan2 x.im x.re) y.im)))) (sqrt (log (exp (* (atan2 x.im x.re) y.im)))) (sqrt (log (exp (* (atan2 x.im x.re) y.im)))) (* (atan2 x.im x.re) y.im) (+ (log (atan2 x.im x.re)) (log y.im)) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im)) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (* (* (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im)) (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (* (atan2 x.im x.re) (sqrt y.im)) (* (atan2 x.im x.re) 1) (* (cbrt (atan2 x.im x.re)) y.im) (* (sqrt (atan2 x.im x.re)) y.im) (* (atan2 x.im x.re) y.im) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (+ (log (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (log y.re)) (log (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (exp (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (* (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (* (* y.re y.re) y.re)) (* (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re))) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (* (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt y.re) (cbrt y.re))) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) 1) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (cbrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) x.im x.re (* -1 x.re) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* y.re (log x.im)) (* -1 (* y.re (log (/ 1 x.re)))) (* -1 (* y.re (log (/ -1 x.re)))) 2.366 * * [simplify]: iteration 0 : 247 enodes (cost 426 ) 2.370 * * [simplify]: iteration 1 : 716 enodes (cost 377 ) 2.381 * * [simplify]: iteration 2 : 1692 enodes (cost 374 ) 2.405 * * [simplify]: iteration 3 : 3924 enodes (cost 374 ) 2.461 * * [simplify]: iteration 4 : 5001 enodes (cost 374 ) 2.463 * [simplify]: Simplified to: (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (exp (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im))))) (cbrt (sqrt (+ (* x.re x.re) (* x.im x.im)))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 3) (fabs (cbrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (cbrt (+ (* x.re x.re) (* x.im x.im)))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 1/2) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 1/2) 1 (sqrt (+ (* x.re x.re) (* x.im x.im))) (sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3))) (sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im))))) (sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im)))) (sqrt (- (* x.re x.re) (* x.im x.im))) 1/2 (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 1/2) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 1/2) (* 2 (log (cbrt (exp (* (atan2 x.im x.re) y.im))))) (log (cbrt (exp (* (atan2 x.im x.re) y.im)))) (log (pow (exp (* (atan2 x.im x.re) y.im)) 1/2)) (log (pow (exp (* (atan2 x.im x.re) y.im)) 1/2)) 0 (* (atan2 x.im x.re) y.im) (atan2 x.im x.re) (* (atan2 x.im x.re) y.im) (atan2 x.im x.re) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (atan2 x.im x.re) y.im) (log (* (atan2 x.im x.re) y.im)) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (* (atan2 x.im x.re) (sqrt y.im)) (atan2 x.im x.re) (* (cbrt (atan2 x.im x.re)) y.im) (* (sqrt (atan2 x.im x.re)) y.im) (* (atan2 x.im x.re) y.im) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (log (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) 3) (* (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re))) (cbrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (pow (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) 3) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (sqrt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (sqrt y.re)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (cbrt y.re) (cbrt y.re))) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt y.re)) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (log (+ (* x.re x.re) (* x.im x.im))) y.re) (* (cbrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (sqrt (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) y.re) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) x.im x.re (* -1 x.re) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* y.re (log x.im)) (* (log x.re) y.re) (* -1 (* y.re (log (/ -1 x.re)))) 2.464 * * * [progress]: adding candidates to table 2.941 * * [progress]: iteration 4 / 4 2.942 * * * [progress]: picking best candidate 2.966 * * * * [pick]: Picked # 2.966 * * * [progress]: localizing error 2.979 * * * [progress]: generating rewritten candidates 2.979 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 2.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 2.984 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.988 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 2.991 * * * [progress]: generating series expansions 2.991 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 2.991 * [approximate]: Approximating (* (atan2 x.im x.re) y.im) in (x.im x.re y.im) around 0 2.991 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.992 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.992 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.992 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.992 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.993 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 2.993 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.993 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.993 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 2.994 * [approximate]: Approximating (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in (x.im x.re y.im) around 0 2.995 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.995 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.995 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.995 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.995 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.996 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.996 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.996 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.996 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.998 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 2.998 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.998 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.998 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.998 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 2.999 * [approximate]: Approximating (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in (x.im x.re y.im) around 0 2.999 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 2.999 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.000 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.000 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.001 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.003 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.003 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.003 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.004 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.007 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.007 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.007 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.007 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.008 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.008 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 3.008 * [approximate]: Approximating (* (atan2 x.im x.re) y.im) in (x.im x.re y.im) around 0 3.009 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 3.009 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 3.009 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 3.009 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 3.009 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 3.010 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in x.re 3.010 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 3.010 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 3.010 * [taylor]: Taking taylor expansion of (* (atan2 x.im x.re) y.im) in y.im 3.011 * [approximate]: Approximating (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in (x.im x.re y.im) around 0 3.011 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 3.012 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.012 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 3.012 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.012 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.013 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 3.013 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.013 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.013 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.015 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in x.re 3.015 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.015 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.015 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.015 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im) in y.im 3.015 * [approximate]: Approximating (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in (x.im x.re y.im) around 0 3.016 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.016 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.017 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.017 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.018 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.020 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.020 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.020 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.020 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.024 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in x.re 3.024 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.024 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.024 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.025 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im)) in y.im 3.025 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.025 * [approximate]: Approximating (* (log x.re) y.re) in (x.re y.re) around 0 3.027 * [taylor]: Taking taylor expansion of (* (log x.re) y.re) in y.re 3.028 * [taylor]: Taking taylor expansion of (* (log x.re) y.re) in y.re 3.031 * [taylor]: Taking taylor expansion of (* (log x.re) y.re) in y.re 3.037 * [taylor]: Taking taylor expansion of (* (log x.re) y.re) in y.re 3.037 * [approximate]: Approximating (/ (log (/ 1 x.re)) y.re) in (x.re y.re) around 0 3.040 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x.re)) y.re) in y.re 3.045 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x.re)) y.re) in y.re 3.049 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x.re)) y.re) in y.re 3.055 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x.re)) y.re) in y.re 3.060 * [approximate]: Approximating (* -1 (/ (log (/ -1 x.re)) y.re)) in (x.re y.re) around 0 3.065 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x.re)) y.re)) in y.re 3.070 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x.re)) y.re)) in y.re 3.077 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x.re)) y.re)) in y.re 3.088 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x.re)) y.re)) in y.re 3.097 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 3.097 * [approximate]: Approximating (exp (* (atan2 x.im x.re) y.im)) in (x.im x.re y.im) around 0 3.098 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in x.re 3.098 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in y.im 3.099 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in x.re 3.099 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in y.im 3.100 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in y.im 3.101 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in x.re 3.101 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in y.im 3.101 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in y.im 3.102 * [taylor]: Taking taylor expansion of (exp (* (atan2 x.im x.re) y.im)) in y.im 3.105 * [approximate]: Approximating (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in (x.im x.re y.im) around 0 3.105 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in x.re 3.106 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in y.im 3.107 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in x.re 3.107 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in y.im 3.107 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in y.im 3.109 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in x.re 3.109 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in y.im 3.109 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in y.im 3.110 * [taylor]: Taking taylor expansion of (exp (/ (atan2 (/ 1 x.im) (/ 1 x.re)) y.im)) in y.im 3.110 * [approximate]: Approximating (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in (x.im x.re y.im) around 0 3.111 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in x.re 3.111 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in y.im 3.113 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in x.re 3.113 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in y.im 3.114 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in y.im 3.116 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in x.re 3.116 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in y.im 3.116 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in y.im 3.118 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (atan2 (/ -1 x.im) (/ -1 x.re)) y.im))) in y.im 3.118 * * * [progress]: simplifying candidates 3.119 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (atan2 x.im x.re) y.im))) (cbrt (exp (* (atan2 x.im x.re) y.im))))) (log (cbrt (exp (* (atan2 x.im x.re) y.im)))) (log (sqrt (exp (* (atan2 x.im x.re) y.im)))) (log (sqrt (exp (* (atan2 x.im x.re) y.im)))) (log 1) (log (exp (* (atan2 x.im x.re) y.im))) (log (exp (atan2 x.im x.re))) (log (exp (* (atan2 x.im x.re) y.im))) (log (exp (atan2 x.im x.re))) (log (log (exp (* (atan2 x.im x.re) y.im)))) (exp (log (exp (* (atan2 x.im x.re) y.im)))) (* (cbrt (log (exp (* (atan2 x.im x.re) y.im)))) (cbrt (log (exp (* (atan2 x.im x.re) y.im))))) (cbrt (log (exp (* (atan2 x.im x.re) y.im)))) (* (* (log (exp (* (atan2 x.im x.re) y.im))) (log (exp (* (atan2 x.im x.re) y.im)))) (log (exp (* (atan2 x.im x.re) y.im)))) (sqrt (log (exp (* (atan2 x.im x.re) y.im)))) (sqrt (log (exp (* (atan2 x.im x.re) y.im)))) (* (atan2 x.im x.re) y.im) (+ (log (atan2 x.im x.re)) (log y.im)) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im)) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (* (* (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im)) (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (* (atan2 x.im x.re) (sqrt y.im)) (* (atan2 x.im x.re) 1) (* (cbrt (atan2 x.im x.re)) y.im) (* (sqrt (atan2 x.im x.re)) y.im) (* (atan2 x.im x.re) y.im) (* (log x.re) y.re) (+ (log (log x.re)) (log y.re)) (log (* (log x.re) y.re)) (exp (* (log x.re) y.re)) (* (* (* (log x.re) (log x.re)) (log x.re)) (* (* y.re y.re) y.re)) (* (cbrt (* (log x.re) y.re)) (cbrt (* (log x.re) y.re))) (cbrt (* (log x.re) y.re)) (* (* (* (log x.re) y.re) (* (log x.re) y.re)) (* (log x.re) y.re)) (sqrt (* (log x.re) y.re)) (sqrt (* (log x.re) y.re)) (* (sqrt (log x.re)) (sqrt y.re)) (* (sqrt (log x.re)) (sqrt y.re)) (* (log x.re) (* (cbrt y.re) (cbrt y.re))) (* (log x.re) (sqrt y.re)) (* (log x.re) 1) (* (log x.re) y.re) (* (cbrt (log x.re)) y.re) (* (sqrt (log x.re)) y.re) (* (log x.re) y.re) (exp (atan2 x.im x.re)) (log (exp (* (atan2 x.im x.re) y.im))) (exp (exp (* (atan2 x.im x.re) y.im))) (* (cbrt (exp (* (atan2 x.im x.re) y.im))) (cbrt (exp (* (atan2 x.im x.re) y.im)))) (cbrt (exp (* (atan2 x.im x.re) y.im))) (* (* (exp (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im))) (exp (* (atan2 x.im x.re) y.im))) (sqrt (exp (* (atan2 x.im x.re) y.im))) (sqrt (exp (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (log x.re) y.re) (* -1 (* y.re (log (/ 1 x.re)))) (* (- (log -1) (log (/ -1 x.re))) y.re) (+ 1 (+ (* (atan2 x.im x.re) y.im) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow y.im 2))))) (exp (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) 3.127 * * [simplify]: iteration 0 : 185 enodes (cost 272 ) 3.131 * * [simplify]: iteration 1 : 648 enodes (cost 239 ) 3.143 * * [simplify]: iteration 2 : 2526 enodes (cost 234 ) 3.186 * * [simplify]: iteration 3 : 5002 enodes (cost 234 ) 3.188 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (atan2 x.im x.re) y.im))))) (log (cbrt (exp (* (atan2 x.im x.re) y.im)))) (log (sqrt (exp (* (atan2 x.im x.re) y.im)))) (log (sqrt (exp (* (atan2 x.im x.re) y.im)))) 0 (* (atan2 x.im x.re) y.im) (atan2 x.im x.re) (* (atan2 x.im x.re) y.im) (atan2 x.im x.re) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (atan2 x.im x.re) y.im) (log (* (atan2 x.im x.re) y.im)) (log (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (* (cbrt (* (atan2 x.im x.re) y.im)) (cbrt (* (atan2 x.im x.re) y.im))) (cbrt (* (atan2 x.im x.re) y.im)) (pow (* (atan2 x.im x.re) y.im) 3) (sqrt (* (atan2 x.im x.re) y.im)) (sqrt (* (atan2 x.im x.re) y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (sqrt (atan2 x.im x.re)) (sqrt y.im)) (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (* (atan2 x.im x.re) (sqrt y.im)) (atan2 x.im x.re) (* (cbrt (atan2 x.im x.re)) y.im) (* (sqrt (atan2 x.im x.re)) y.im) (* (atan2 x.im x.re) y.im) (* (log x.re) y.re) (log (* (log x.re) y.re)) (log (* (log x.re) y.re)) (pow x.re y.re) (pow (* (log x.re) y.re) 3) (* (cbrt (* (log x.re) y.re)) (cbrt (* (log x.re) y.re))) (cbrt (* (log x.re) y.re)) (pow (* (log x.re) y.re) 3) (sqrt (* (log x.re) y.re)) (sqrt (* (log x.re) y.re)) (* (sqrt (log x.re)) (sqrt y.re)) (* (sqrt (log x.re)) (sqrt y.re)) (* (log x.re) (* (cbrt y.re) (cbrt y.re))) (* (log x.re) (sqrt y.re)) (log x.re) (* (log x.re) y.re) (* (cbrt (log x.re)) y.re) (* (sqrt (log x.re)) y.re) (* (log x.re) y.re) (exp (atan2 x.im x.re)) (* (atan2 x.im x.re) y.im) (exp (exp (* (atan2 x.im x.re) y.im))) (* (cbrt (exp (* (atan2 x.im x.re) y.im))) (cbrt (exp (* (atan2 x.im x.re) y.im)))) (cbrt (exp (* (atan2 x.im x.re) y.im))) (pow (exp (* (atan2 x.im x.re) y.im)) 3) (sqrt (exp (* (atan2 x.im x.re) y.im))) (sqrt (exp (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im) (* (log x.re) y.re) (* (log x.re) y.re) (* (log x.re) y.re) (+ 1 (+ (* (atan2 x.im x.re) y.im) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow y.im 2))))) (exp (* (atan2 x.im x.re) y.im)) (exp (* (atan2 x.im x.re) y.im)) 3.188 * * * [progress]: adding candidates to table 3.487 * [progress]: [Phase 3 of 3] Extracting. 3.487 * * [regime]: Finding splitpoints for: (# # # # # #) 3.492 * * * [regime-changes]: Trying 5 branch expressions: ((* (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)))) y.im y.re x.im x.re) 3.492 * * * * [regimes]: Trying to branch on (* (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)))) from (# # # # # #) 3.585 * * * * [regimes]: Trying to branch on y.im from (# # # # # #) 3.682 * * * * [regimes]: Trying to branch on y.re from (# # # # # #) 3.816 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 3.912 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 4.010 * * * [regime]: Found split indices: #