17.217 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (* x.re y.im) (* x.im y.re)) 0.023 * * [simplify]: iteration 0 : 11 enodes (cost 2 ) 0.025 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.026 * * [simplify]: iteration 2 : 14 enodes (cost 2 ) 0.026 * [simplify]: Simplified to: (fma x.re y.im (* x.im y.re)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in (x.re y.im x.im y.re) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.re 0.041 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.041 * [taylor]: Taking taylor expansion of y.re in y.re 0.041 * [taylor]: Taking taylor expansion of x.im in y.re 0.041 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.041 * [taylor]: Taking taylor expansion of y.im in y.re 0.041 * [taylor]: Taking taylor expansion of x.re in y.re 0.041 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.im 0.041 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.041 * [taylor]: Taking taylor expansion of y.re in x.im 0.041 * [taylor]: Taking taylor expansion of x.im in x.im 0.041 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.041 * [taylor]: Taking taylor expansion of y.im in x.im 0.041 * [taylor]: Taking taylor expansion of x.re in x.im 0.041 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.im 0.041 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.041 * [taylor]: Taking taylor expansion of y.re in y.im 0.041 * [taylor]: Taking taylor expansion of x.im in y.im 0.041 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.041 * [taylor]: Taking taylor expansion of y.im in y.im 0.041 * [taylor]: Taking taylor expansion of x.re in y.im 0.041 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.041 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.041 * [taylor]: Taking taylor expansion of y.re in x.re 0.041 * [taylor]: Taking taylor expansion of x.im in x.re 0.041 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.041 * [taylor]: Taking taylor expansion of y.im in x.re 0.041 * [taylor]: Taking taylor expansion of x.re in x.re 0.041 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.041 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.041 * [taylor]: Taking taylor expansion of y.re in x.re 0.041 * [taylor]: Taking taylor expansion of x.im in x.re 0.041 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.041 * [taylor]: Taking taylor expansion of y.im in x.re 0.041 * [taylor]: Taking taylor expansion of x.re in x.re 0.041 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.041 * [taylor]: Taking taylor expansion of y.re in y.im 0.041 * [taylor]: Taking taylor expansion of x.im in y.im 0.042 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.042 * [taylor]: Taking taylor expansion of y.re in x.im 0.042 * [taylor]: Taking taylor expansion of x.im in x.im 0.042 * [taylor]: Taking taylor expansion of 0 in y.re 0.042 * [taylor]: Taking taylor expansion of y.im in y.im 0.042 * [taylor]: Taking taylor expansion of 0 in x.im 0.042 * [taylor]: Taking taylor expansion of 0 in y.re 0.042 * [taylor]: Taking taylor expansion of 0 in x.im 0.042 * [taylor]: Taking taylor expansion of 0 in y.re 0.042 * [taylor]: Taking taylor expansion of y.re in y.re 0.043 * [taylor]: Taking taylor expansion of 0 in y.im 0.043 * [taylor]: Taking taylor expansion of 0 in x.im 0.043 * [taylor]: Taking taylor expansion of 0 in y.re 0.044 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.re y.im x.im y.re) around 0 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.044 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.044 * [taylor]: Taking taylor expansion of y.re in y.re 0.044 * [taylor]: Taking taylor expansion of x.im in y.re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.044 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.044 * [taylor]: Taking taylor expansion of y.im in y.re 0.044 * [taylor]: Taking taylor expansion of x.re in y.re 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.044 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.044 * [taylor]: Taking taylor expansion of y.re in x.im 0.044 * [taylor]: Taking taylor expansion of x.im in x.im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.045 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.045 * [taylor]: Taking taylor expansion of y.im in x.im 0.045 * [taylor]: Taking taylor expansion of x.re in x.im 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.045 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.045 * [taylor]: Taking taylor expansion of y.re in y.im 0.045 * [taylor]: Taking taylor expansion of x.im in y.im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.045 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.045 * [taylor]: Taking taylor expansion of y.im in y.im 0.045 * [taylor]: Taking taylor expansion of x.re in y.im 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.045 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.045 * [taylor]: Taking taylor expansion of y.re in x.re 0.045 * [taylor]: Taking taylor expansion of x.im in x.re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.045 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.045 * [taylor]: Taking taylor expansion of y.im in x.re 0.045 * [taylor]: Taking taylor expansion of x.re in x.re 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.046 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.046 * [taylor]: Taking taylor expansion of y.re in x.re 0.046 * [taylor]: Taking taylor expansion of x.im in x.re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.046 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.046 * [taylor]: Taking taylor expansion of y.im in x.re 0.046 * [taylor]: Taking taylor expansion of x.re in x.re 0.046 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.046 * [taylor]: Taking taylor expansion of y.im in y.im 0.046 * [taylor]: Taking taylor expansion of 1 in x.im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.047 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.047 * [taylor]: Taking taylor expansion of y.re in y.im 0.047 * [taylor]: Taking taylor expansion of x.im in y.im 0.048 * [taylor]: Taking taylor expansion of 0 in x.im 0.048 * [taylor]: Taking taylor expansion of 1 in y.re 0.050 * [taylor]: Taking taylor expansion of 0 in y.im 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.050 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.050 * [taylor]: Taking taylor expansion of y.re in x.im 0.050 * [taylor]: Taking taylor expansion of x.im in x.im 0.050 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.050 * [taylor]: Taking taylor expansion of y.re in y.re 0.052 * [taylor]: Taking taylor expansion of 0 in x.im 0.052 * [taylor]: Taking taylor expansion of 0 in y.re 0.052 * [taylor]: Taking taylor expansion of 0 in y.re 0.054 * [taylor]: Taking taylor expansion of 0 in y.im 0.054 * [taylor]: Taking taylor expansion of 0 in x.im 0.054 * [taylor]: Taking taylor expansion of 0 in x.im 0.055 * [taylor]: Taking taylor expansion of 0 in x.im 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.056 * [taylor]: Taking taylor expansion of 0 in y.re 0.060 * [taylor]: Taking taylor expansion of 0 in y.im 0.060 * [taylor]: Taking taylor expansion of 0 in x.im 0.060 * [taylor]: Taking taylor expansion of 0 in x.im 0.060 * [taylor]: Taking taylor expansion of 0 in x.im 0.061 * [taylor]: Taking taylor expansion of 0 in x.im 0.061 * [taylor]: Taking taylor expansion of 0 in y.re 0.061 * [taylor]: Taking taylor expansion of 0 in y.re 0.062 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.063 * [taylor]: Taking taylor expansion of 0 in y.re 0.064 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.re y.im x.im y.re) around 0 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.064 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.064 * [taylor]: Taking taylor expansion of y.re in y.re 0.064 * [taylor]: Taking taylor expansion of x.im in y.re 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.065 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.065 * [taylor]: Taking taylor expansion of y.im in y.re 0.065 * [taylor]: Taking taylor expansion of x.re in y.re 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.065 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.065 * [taylor]: Taking taylor expansion of y.re in x.im 0.065 * [taylor]: Taking taylor expansion of x.im in x.im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.066 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.066 * [taylor]: Taking taylor expansion of y.im in x.im 0.066 * [taylor]: Taking taylor expansion of x.re in x.im 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.066 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.066 * [taylor]: Taking taylor expansion of y.re in y.im 0.066 * [taylor]: Taking taylor expansion of x.im in y.im 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.066 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.066 * [taylor]: Taking taylor expansion of y.im in y.im 0.066 * [taylor]: Taking taylor expansion of x.re in y.im 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.067 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.067 * [taylor]: Taking taylor expansion of y.re in x.re 0.067 * [taylor]: Taking taylor expansion of x.im in x.re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.067 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.067 * [taylor]: Taking taylor expansion of y.im in x.re 0.067 * [taylor]: Taking taylor expansion of x.re in x.re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.067 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.067 * [taylor]: Taking taylor expansion of y.re in x.re 0.067 * [taylor]: Taking taylor expansion of x.im in x.re 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.068 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.068 * [taylor]: Taking taylor expansion of y.im in x.re 0.068 * [taylor]: Taking taylor expansion of x.re in x.re 0.068 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.068 * [taylor]: Taking taylor expansion of y.im in y.im 0.069 * [taylor]: Taking taylor expansion of 1 in x.im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.070 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.070 * [taylor]: Taking taylor expansion of y.re in y.im 0.070 * [taylor]: Taking taylor expansion of x.im in y.im 0.074 * [taylor]: Taking taylor expansion of 0 in x.im 0.074 * [taylor]: Taking taylor expansion of 1 in y.re 0.076 * [taylor]: Taking taylor expansion of 0 in y.im 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.076 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.076 * [taylor]: Taking taylor expansion of y.re in x.im 0.076 * [taylor]: Taking taylor expansion of x.im in x.im 0.077 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.077 * [taylor]: Taking taylor expansion of y.re in y.re 0.078 * [taylor]: Taking taylor expansion of 0 in x.im 0.078 * [taylor]: Taking taylor expansion of 0 in y.re 0.078 * [taylor]: Taking taylor expansion of 0 in y.re 0.080 * [taylor]: Taking taylor expansion of 0 in y.im 0.080 * [taylor]: Taking taylor expansion of 0 in x.im 0.081 * [taylor]: Taking taylor expansion of 0 in x.im 0.081 * [taylor]: Taking taylor expansion of 0 in x.im 0.082 * [taylor]: Taking taylor expansion of 0 in y.re 0.082 * [taylor]: Taking taylor expansion of 0 in y.re 0.082 * [taylor]: Taking taylor expansion of 0 in y.re 0.082 * [taylor]: Taking taylor expansion of 0 in y.re 0.086 * [taylor]: Taking taylor expansion of 0 in y.im 0.086 * [taylor]: Taking taylor expansion of 0 in x.im 0.086 * [taylor]: Taking taylor expansion of 0 in x.im 0.087 * [taylor]: Taking taylor expansion of 0 in x.im 0.088 * [taylor]: Taking taylor expansion of 0 in x.im 0.088 * [taylor]: Taking taylor expansion of 0 in y.re 0.088 * [taylor]: Taking taylor expansion of 0 in y.re 0.088 * [taylor]: Taking taylor expansion of 0 in y.re 0.089 * [taylor]: Taking taylor expansion of 0 in y.re 0.089 * [taylor]: Taking taylor expansion of 0 in y.re 0.089 * [taylor]: Taking taylor expansion of 0 in y.re 0.089 * [taylor]: Taking taylor expansion of 0 in y.re 0.090 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (expm1 (+ (* x.re y.im) (* x.im y.re))) (log1p (+ (* x.re y.im) (* x.im y.re))) (* (exp (* x.re y.im)) (exp (* x.im y.re))) (log (+ (* x.re y.im) (* x.im y.re))) (exp (+ (* x.re y.im) (* x.im y.re))) (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))) (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))) (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))) (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)) 0 (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)) 0.093 * * [simplify]: iteration 0 : 108 enodes (cost 78 ) 0.096 * * [simplify]: iteration 1 : 403 enodes (cost 68 ) 0.105 * * [simplify]: iteration 2 : 1283 enodes (cost 68 ) 0.131 * * [simplify]: iteration 3 : 3949 enodes (cost 68 ) 0.214 * * [simplify]: iteration 4 : 5001 enodes (cost 68 ) 0.214 * [simplify]: Simplified to: (expm1 (+ (* x.re y.im) (* x.im y.re))) (log1p (+ (* x.re y.im) (* x.im y.re))) (exp (fma y.re x.im (* y.im x.re))) (log (+ (* x.re y.im) (* x.im y.re))) (exp (fma y.re x.im (* y.im x.re))) (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))) (pow (fma y.re x.im (* y.im x.re)) 3) (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))) (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (fma (* x.re x.re) (* y.im y.im) (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))) (* (fma x.re y.im (* x.im y.re)) (- (* x.re y.im) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)) 0 (fma y.re x.im (* y.im x.re)) (fma y.re x.im (* y.im x.re)) 0.215 * * * [progress]: adding candidates to table 0.243 * * [progress]: iteration 2 / 4 0.243 * * * [progress]: picking best candidate 0.246 * * * * [pick]: Picked # 0.246 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.252 * [approximate]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in (y.re x.im y.im x.re) around 0 0.252 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in x.re 0.252 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.252 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.252 * [taylor]: Taking taylor expansion of y.re in x.re 0.252 * [taylor]: Taking taylor expansion of x.im in x.re 0.252 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.252 * [taylor]: Taking taylor expansion of y.im in x.re 0.252 * [taylor]: Taking taylor expansion of x.re in x.re 0.252 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in y.im 0.252 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.252 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.252 * [taylor]: Taking taylor expansion of y.re in y.im 0.253 * [taylor]: Taking taylor expansion of x.im in y.im 0.253 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.253 * [taylor]: Taking taylor expansion of y.im in y.im 0.253 * [taylor]: Taking taylor expansion of x.re in y.im 0.253 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in x.im 0.253 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.253 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.253 * [taylor]: Taking taylor expansion of y.re in x.im 0.253 * [taylor]: Taking taylor expansion of x.im in x.im 0.253 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.253 * [taylor]: Taking taylor expansion of y.im in x.im 0.253 * [taylor]: Taking taylor expansion of x.re in x.im 0.253 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in y.re 0.253 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.253 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.253 * [taylor]: Taking taylor expansion of y.re in y.re 0.253 * [taylor]: Taking taylor expansion of x.im in y.re 0.253 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.253 * [taylor]: Taking taylor expansion of y.im in y.re 0.253 * [taylor]: Taking taylor expansion of x.re in y.re 0.253 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in y.re 0.253 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.253 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.253 * [taylor]: Taking taylor expansion of y.re in y.re 0.253 * [taylor]: Taking taylor expansion of x.im in y.re 0.253 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.253 * [taylor]: Taking taylor expansion of y.im in y.re 0.253 * [taylor]: Taking taylor expansion of x.re in y.re 0.253 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.253 * [taylor]: Taking taylor expansion of y.im in x.im 0.253 * [taylor]: Taking taylor expansion of x.re in x.im 0.253 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.253 * [taylor]: Taking taylor expansion of y.im in y.im 0.253 * [taylor]: Taking taylor expansion of x.re in y.im 0.253 * [taylor]: Taking taylor expansion of 0 in x.re 0.254 * [taylor]: Taking taylor expansion of x.im in x.im 0.254 * [taylor]: Taking taylor expansion of 0 in y.im 0.254 * [taylor]: Taking taylor expansion of 0 in x.re 0.254 * [taylor]: Taking taylor expansion of 0 in y.im 0.254 * [taylor]: Taking taylor expansion of 0 in x.re 0.254 * [taylor]: Taking taylor expansion of x.re in x.re 0.255 * [taylor]: Taking taylor expansion of 0 in x.im 0.255 * [taylor]: Taking taylor expansion of 0 in y.im 0.255 * [taylor]: Taking taylor expansion of 0 in x.re 0.255 * [approximate]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in (y.re x.im y.im x.re) around 0 0.255 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in x.re 0.256 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.256 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in x.re 0.256 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re 0.256 * [taylor]: Taking taylor expansion of y.re in x.re 0.256 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 0.256 * [taylor]: Taking taylor expansion of x.im in x.re 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.256 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.256 * [taylor]: Taking taylor expansion of y.im in x.re 0.256 * [taylor]: Taking taylor expansion of x.re in x.re 0.256 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in y.im 0.256 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.256 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in y.im 0.256 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im 0.256 * [taylor]: Taking taylor expansion of y.re in y.im 0.256 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im 0.256 * [taylor]: Taking taylor expansion of x.im in y.im 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.256 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.256 * [taylor]: Taking taylor expansion of y.im in y.im 0.256 * [taylor]: Taking taylor expansion of x.re in y.im 0.257 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in x.im 0.257 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.257 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in x.im 0.257 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im 0.257 * [taylor]: Taking taylor expansion of y.re in x.im 0.257 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.257 * [taylor]: Taking taylor expansion of x.im in x.im 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.257 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.257 * [taylor]: Taking taylor expansion of y.im in x.im 0.257 * [taylor]: Taking taylor expansion of x.re in x.im 0.257 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in y.re 0.257 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.257 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in y.re 0.257 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.257 * [taylor]: Taking taylor expansion of y.re in y.re 0.258 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.re 0.258 * [taylor]: Taking taylor expansion of x.im in y.re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.258 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.258 * [taylor]: Taking taylor expansion of y.im in y.re 0.258 * [taylor]: Taking taylor expansion of x.re in y.re 0.258 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in y.re 0.258 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.258 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in y.re 0.258 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.258 * [taylor]: Taking taylor expansion of y.re in y.re 0.258 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.re 0.258 * [taylor]: Taking taylor expansion of x.im in y.re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.258 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.258 * [taylor]: Taking taylor expansion of y.im in y.re 0.258 * [taylor]: Taking taylor expansion of x.re in y.re 0.258 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.258 * [taylor]: Taking taylor expansion of x.im in x.im 0.259 * [taylor]: Taking taylor expansion of 1 in y.im 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.260 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.260 * [taylor]: Taking taylor expansion of y.im in x.im 0.260 * [taylor]: Taking taylor expansion of x.re in x.im 0.260 * [taylor]: Taking taylor expansion of 0 in y.im 0.260 * [taylor]: Taking taylor expansion of 1 in x.re 0.262 * [taylor]: Taking taylor expansion of 0 in x.im 0.262 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.262 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.262 * [taylor]: Taking taylor expansion of y.im in y.im 0.262 * [taylor]: Taking taylor expansion of x.re in y.im 0.262 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.262 * [taylor]: Taking taylor expansion of x.re in x.re 0.263 * [taylor]: Taking taylor expansion of 0 in y.im 0.263 * [taylor]: Taking taylor expansion of 0 in x.re 0.263 * [taylor]: Taking taylor expansion of 0 in x.re 0.265 * [taylor]: Taking taylor expansion of 0 in x.im 0.265 * [taylor]: Taking taylor expansion of 0 in y.im 0.265 * [taylor]: Taking taylor expansion of 0 in y.im 0.268 * [taylor]: Taking taylor expansion of 0 in y.im 0.269 * [taylor]: Taking taylor expansion of 0 in x.re 0.269 * [taylor]: Taking taylor expansion of 0 in x.re 0.269 * [taylor]: Taking taylor expansion of 0 in x.re 0.269 * [taylor]: Taking taylor expansion of 0 in x.re 0.272 * [taylor]: Taking taylor expansion of 0 in x.im 0.272 * [taylor]: Taking taylor expansion of 0 in y.im 0.272 * [taylor]: Taking taylor expansion of 0 in y.im 0.272 * [taylor]: Taking taylor expansion of 0 in y.im 0.273 * [taylor]: Taking taylor expansion of 0 in y.im 0.273 * [taylor]: Taking taylor expansion of 0 in x.re 0.273 * [taylor]: Taking taylor expansion of 0 in x.re 0.273 * [taylor]: Taking taylor expansion of 0 in x.re 0.274 * [taylor]: Taking taylor expansion of 0 in x.re 0.274 * [taylor]: Taking taylor expansion of 0 in x.re 0.274 * [taylor]: Taking taylor expansion of 0 in x.re 0.274 * [taylor]: Taking taylor expansion of 0 in x.re 0.275 * [approximate]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in (y.re x.im y.im x.re) around 0 0.275 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in x.re 0.275 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.275 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in x.re 0.275 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re 0.275 * [taylor]: Taking taylor expansion of -1 in x.re 0.275 * [taylor]: Taking taylor expansion of y.re in x.re 0.275 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.re 0.275 * [taylor]: Taking taylor expansion of -1 in x.re 0.275 * [taylor]: Taking taylor expansion of x.im in x.re 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.275 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.275 * [taylor]: Taking taylor expansion of y.im in x.re 0.275 * [taylor]: Taking taylor expansion of x.re in x.re 0.275 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in y.im 0.275 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.275 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in y.im 0.275 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im 0.275 * [taylor]: Taking taylor expansion of -1 in y.im 0.275 * [taylor]: Taking taylor expansion of y.re in y.im 0.275 * [taylor]: Taking taylor expansion of (/ -1 x.im) in y.im 0.276 * [taylor]: Taking taylor expansion of -1 in y.im 0.276 * [taylor]: Taking taylor expansion of x.im in y.im 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.276 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.276 * [taylor]: Taking taylor expansion of y.im in y.im 0.276 * [taylor]: Taking taylor expansion of x.re in y.im 0.276 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in x.im 0.276 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.276 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in x.im 0.276 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im 0.276 * [taylor]: Taking taylor expansion of -1 in x.im 0.276 * [taylor]: Taking taylor expansion of y.re in x.im 0.276 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 0.276 * [taylor]: Taking taylor expansion of -1 in x.im 0.276 * [taylor]: Taking taylor expansion of x.im in x.im 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.276 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.276 * [taylor]: Taking taylor expansion of y.im in x.im 0.276 * [taylor]: Taking taylor expansion of x.re in x.im 0.277 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in y.re 0.277 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.277 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in y.re 0.277 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re 0.277 * [taylor]: Taking taylor expansion of -1 in y.re 0.277 * [taylor]: Taking taylor expansion of y.re in y.re 0.277 * [taylor]: Taking taylor expansion of (/ -1 x.im) in y.re 0.277 * [taylor]: Taking taylor expansion of -1 in y.re 0.277 * [taylor]: Taking taylor expansion of x.im in y.re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.277 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.277 * [taylor]: Taking taylor expansion of y.im in y.re 0.277 * [taylor]: Taking taylor expansion of x.re in y.re 0.277 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in y.re 0.277 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.277 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in y.re 0.277 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re 0.277 * [taylor]: Taking taylor expansion of -1 in y.re 0.277 * [taylor]: Taking taylor expansion of y.re in y.re 0.278 * [taylor]: Taking taylor expansion of (/ -1 x.im) in y.re 0.278 * [taylor]: Taking taylor expansion of -1 in y.re 0.278 * [taylor]: Taking taylor expansion of x.im in y.re 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.278 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.278 * [taylor]: Taking taylor expansion of y.im in y.re 0.278 * [taylor]: Taking taylor expansion of x.re in y.re 0.278 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.278 * [taylor]: Taking taylor expansion of x.im in x.im 0.278 * [taylor]: Taking taylor expansion of 1 in y.im 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.279 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.279 * [taylor]: Taking taylor expansion of y.im in x.im 0.279 * [taylor]: Taking taylor expansion of x.re in x.im 0.280 * [taylor]: Taking taylor expansion of 0 in y.im 0.280 * [taylor]: Taking taylor expansion of 1 in x.re 0.281 * [taylor]: Taking taylor expansion of 0 in x.im 0.281 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.281 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.281 * [taylor]: Taking taylor expansion of y.im in y.im 0.281 * [taylor]: Taking taylor expansion of x.re in y.im 0.281 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.282 * [taylor]: Taking taylor expansion of x.re in x.re 0.282 * [taylor]: Taking taylor expansion of 0 in y.im 0.282 * [taylor]: Taking taylor expansion of 0 in x.re 0.282 * [taylor]: Taking taylor expansion of 0 in x.re 0.284 * [taylor]: Taking taylor expansion of 0 in x.im 0.284 * [taylor]: Taking taylor expansion of 0 in y.im 0.284 * [taylor]: Taking taylor expansion of 0 in y.im 0.285 * [taylor]: Taking taylor expansion of 0 in y.im 0.286 * [taylor]: Taking taylor expansion of 0 in x.re 0.286 * [taylor]: Taking taylor expansion of 0 in x.re 0.286 * [taylor]: Taking taylor expansion of 0 in x.re 0.286 * [taylor]: Taking taylor expansion of 0 in x.re 0.289 * [taylor]: Taking taylor expansion of 0 in x.im 0.289 * [taylor]: Taking taylor expansion of 0 in y.im 0.289 * [taylor]: Taking taylor expansion of 0 in y.im 0.289 * [taylor]: Taking taylor expansion of 0 in y.im 0.290 * [taylor]: Taking taylor expansion of 0 in y.im 0.290 * [taylor]: Taking taylor expansion of 0 in x.re 0.290 * [taylor]: Taking taylor expansion of 0 in x.re 0.290 * [taylor]: Taking taylor expansion of 0 in x.re 0.290 * [taylor]: Taking taylor expansion of 0 in x.re 0.291 * [taylor]: Taking taylor expansion of 0 in x.re 0.291 * [taylor]: Taking taylor expansion of 0 in x.re 0.291 * [taylor]: Taking taylor expansion of 0 in x.re 0.291 * * * [progress]: simplifying candidates 0.291 * [simplify]: Simplifying using # : (expm1 (fma y.re x.im (* y.im x.re))) (log1p (fma y.re x.im (* y.im x.re))) (* y.re x.im) (log (fma y.re x.im (* y.im x.re))) (exp (fma y.re x.im (* y.im x.re))) (* (cbrt (fma y.re x.im (* y.im x.re))) (cbrt (fma y.re x.im (* y.im x.re)))) (cbrt (fma y.re x.im (* y.im x.re))) (* (* (fma y.re x.im (* y.im x.re)) (fma y.re x.im (* y.im x.re))) (fma y.re x.im (* y.im x.re))) (sqrt (fma y.re x.im (* y.im x.re))) (sqrt (fma y.re x.im (* y.im x.re))) 0 (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)) 0.294 * * [simplify]: iteration 0 : 22 enodes (cost 41 ) 0.295 * * [simplify]: iteration 1 : 52 enodes (cost 36 ) 0.297 * * [simplify]: iteration 2 : 165 enodes (cost 36 ) 0.300 * * [simplify]: iteration 3 : 546 enodes (cost 36 ) 0.314 * * [simplify]: iteration 4 : 2688 enodes (cost 36 ) 0.363 * * [simplify]: iteration 5 : 5001 enodes (cost 36 ) 0.363 * [simplify]: Simplified to: (expm1 (fma y.re x.im (* y.im x.re))) (log1p (fma y.re x.im (* y.im x.re))) (* y.re x.im) (log (fma y.re x.im (* y.im x.re))) (exp (fma y.re x.im (* y.im x.re))) (* (cbrt (fma y.re x.im (* y.im x.re))) (cbrt (fma y.re x.im (* y.im x.re)))) (cbrt (fma y.re x.im (* y.im x.re))) (pow (fma y.re x.im (* y.im x.re)) 3) (sqrt (fma y.re x.im (* y.im x.re))) (sqrt (fma y.re x.im (* y.im x.re))) 0 (fma y.re x.im (* y.im x.re)) (fma y.re x.im (* y.im x.re)) 0.364 * * * [progress]: adding candidates to table 0.384 * * [progress]: iteration 3 / 4 0.385 * * * [progress]: picking best candidate 0.386 * * * * [pick]: Picked # 0.386 * * * [progress]: localizing error 0.391 * * * [progress]: generating rewritten candidates 0.391 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.392 * * * [progress]: generating series expansions 0.392 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.392 * [approximate]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in (x.re y.im x.im y.re) around 0 0.392 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in y.re 0.392 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.392 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.re 0.392 * [taylor]: Taking taylor expansion of x.re in y.re 0.392 * [taylor]: Taking taylor expansion of y.im in y.re 0.392 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.392 * [taylor]: Taking taylor expansion of y.re in y.re 0.392 * [taylor]: Taking taylor expansion of x.im in y.re 0.392 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in x.im 0.392 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.392 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.im 0.392 * [taylor]: Taking taylor expansion of x.re in x.im 0.392 * [taylor]: Taking taylor expansion of y.im in x.im 0.392 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.392 * [taylor]: Taking taylor expansion of y.re in x.im 0.392 * [taylor]: Taking taylor expansion of x.im in x.im 0.392 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in y.im 0.392 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.392 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.im 0.392 * [taylor]: Taking taylor expansion of x.re in y.im 0.392 * [taylor]: Taking taylor expansion of y.im in y.im 0.392 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.392 * [taylor]: Taking taylor expansion of y.re in y.im 0.392 * [taylor]: Taking taylor expansion of x.im in y.im 0.392 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in x.re 0.392 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.392 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.re 0.392 * [taylor]: Taking taylor expansion of x.re in x.re 0.392 * [taylor]: Taking taylor expansion of y.im in x.re 0.392 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.392 * [taylor]: Taking taylor expansion of y.re in x.re 0.392 * [taylor]: Taking taylor expansion of x.im in x.re 0.393 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in x.re 0.393 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.393 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.re 0.393 * [taylor]: Taking taylor expansion of x.re in x.re 0.393 * [taylor]: Taking taylor expansion of y.im in x.re 0.393 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.393 * [taylor]: Taking taylor expansion of y.re in x.re 0.393 * [taylor]: Taking taylor expansion of x.im in x.re 0.393 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.393 * [taylor]: Taking taylor expansion of y.re in y.im 0.393 * [taylor]: Taking taylor expansion of x.im in y.im 0.393 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.393 * [taylor]: Taking taylor expansion of y.re in x.im 0.393 * [taylor]: Taking taylor expansion of x.im in x.im 0.393 * [taylor]: Taking taylor expansion of 0 in y.re 0.393 * [taylor]: Taking taylor expansion of y.im in y.im 0.393 * [taylor]: Taking taylor expansion of 0 in x.im 0.393 * [taylor]: Taking taylor expansion of 0 in y.re 0.393 * [taylor]: Taking taylor expansion of 0 in x.im 0.393 * [taylor]: Taking taylor expansion of 0 in y.re 0.394 * [taylor]: Taking taylor expansion of y.re in y.re 0.395 * [taylor]: Taking taylor expansion of 0 in y.im 0.395 * [taylor]: Taking taylor expansion of 0 in x.im 0.395 * [taylor]: Taking taylor expansion of 0 in y.re 0.395 * [approximate]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in (x.re y.im x.im y.re) around 0 0.395 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in y.re 0.395 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.395 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in y.re 0.395 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.re 0.395 * [taylor]: Taking taylor expansion of x.re in y.re 0.395 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re 0.395 * [taylor]: Taking taylor expansion of y.im in y.re 0.395 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.395 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.395 * [taylor]: Taking taylor expansion of y.re in y.re 0.395 * [taylor]: Taking taylor expansion of x.im in y.re 0.396 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in x.im 0.396 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.396 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in x.im 0.396 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.396 * [taylor]: Taking taylor expansion of x.re in x.im 0.396 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 0.396 * [taylor]: Taking taylor expansion of y.im in x.im 0.396 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.396 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.396 * [taylor]: Taking taylor expansion of y.re in x.im 0.396 * [taylor]: Taking taylor expansion of x.im in x.im 0.396 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in y.im 0.396 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.396 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in y.im 0.396 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.im 0.396 * [taylor]: Taking taylor expansion of x.re in y.im 0.396 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.396 * [taylor]: Taking taylor expansion of y.im in y.im 0.397 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.397 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.397 * [taylor]: Taking taylor expansion of y.re in y.im 0.397 * [taylor]: Taking taylor expansion of x.im in y.im 0.397 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in x.re 0.397 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.397 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in x.re 0.397 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.397 * [taylor]: Taking taylor expansion of x.re in x.re 0.397 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re 0.397 * [taylor]: Taking taylor expansion of y.im in x.re 0.397 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.397 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.397 * [taylor]: Taking taylor expansion of y.re in x.re 0.397 * [taylor]: Taking taylor expansion of x.im in x.re 0.397 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in x.re 0.397 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.397 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in x.re 0.397 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.397 * [taylor]: Taking taylor expansion of x.re in x.re 0.398 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re 0.398 * [taylor]: Taking taylor expansion of y.im in x.re 0.398 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.398 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.398 * [taylor]: Taking taylor expansion of y.re in x.re 0.398 * [taylor]: Taking taylor expansion of x.im in x.re 0.398 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.398 * [taylor]: Taking taylor expansion of y.im in y.im 0.398 * [taylor]: Taking taylor expansion of 1 in x.im 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.399 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.399 * [taylor]: Taking taylor expansion of y.re in y.im 0.399 * [taylor]: Taking taylor expansion of x.im in y.im 0.400 * [taylor]: Taking taylor expansion of 0 in x.im 0.400 * [taylor]: Taking taylor expansion of 1 in y.re 0.401 * [taylor]: Taking taylor expansion of 0 in y.im 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.401 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.401 * [taylor]: Taking taylor expansion of y.re in x.im 0.401 * [taylor]: Taking taylor expansion of x.im in x.im 0.401 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.401 * [taylor]: Taking taylor expansion of y.re in y.re 0.402 * [taylor]: Taking taylor expansion of 0 in x.im 0.402 * [taylor]: Taking taylor expansion of 0 in y.re 0.402 * [taylor]: Taking taylor expansion of 0 in y.re 0.404 * [taylor]: Taking taylor expansion of 0 in y.im 0.404 * [taylor]: Taking taylor expansion of 0 in x.im 0.404 * [taylor]: Taking taylor expansion of 0 in x.im 0.405 * [taylor]: Taking taylor expansion of 0 in x.im 0.405 * [taylor]: Taking taylor expansion of 0 in y.re 0.405 * [taylor]: Taking taylor expansion of 0 in y.re 0.405 * [taylor]: Taking taylor expansion of 0 in y.re 0.405 * [taylor]: Taking taylor expansion of 0 in y.re 0.408 * [taylor]: Taking taylor expansion of 0 in y.im 0.408 * [taylor]: Taking taylor expansion of 0 in x.im 0.408 * [taylor]: Taking taylor expansion of 0 in x.im 0.411 * [taylor]: Taking taylor expansion of 0 in x.im 0.412 * [taylor]: Taking taylor expansion of 0 in x.im 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.412 * [taylor]: Taking taylor expansion of 0 in y.re 0.413 * [approximate]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in (x.re y.im x.im y.re) around 0 0.413 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in y.re 0.413 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.413 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in y.re 0.413 * [taylor]: Taking taylor expansion of (/ -1 x.re) in y.re 0.413 * [taylor]: Taking taylor expansion of -1 in y.re 0.413 * [taylor]: Taking taylor expansion of x.re in y.re 0.413 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re 0.414 * [taylor]: Taking taylor expansion of -1 in y.re 0.414 * [taylor]: Taking taylor expansion of y.im in y.re 0.414 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.414 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.414 * [taylor]: Taking taylor expansion of y.re in y.re 0.414 * [taylor]: Taking taylor expansion of x.im in y.re 0.414 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in x.im 0.414 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.414 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in x.im 0.414 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.414 * [taylor]: Taking taylor expansion of -1 in x.im 0.414 * [taylor]: Taking taylor expansion of x.re in x.im 0.414 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im 0.414 * [taylor]: Taking taylor expansion of -1 in x.im 0.414 * [taylor]: Taking taylor expansion of y.im in x.im 0.414 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.414 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.414 * [taylor]: Taking taylor expansion of y.re in x.im 0.414 * [taylor]: Taking taylor expansion of x.im in x.im 0.415 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in y.im 0.415 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.415 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in y.im 0.415 * [taylor]: Taking taylor expansion of (/ -1 x.re) in y.im 0.415 * [taylor]: Taking taylor expansion of -1 in y.im 0.415 * [taylor]: Taking taylor expansion of x.re in y.im 0.415 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im 0.415 * [taylor]: Taking taylor expansion of -1 in y.im 0.415 * [taylor]: Taking taylor expansion of y.im in y.im 0.415 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.415 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.415 * [taylor]: Taking taylor expansion of y.re in y.im 0.415 * [taylor]: Taking taylor expansion of x.im in y.im 0.415 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in x.re 0.415 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.415 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in x.re 0.415 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.415 * [taylor]: Taking taylor expansion of -1 in x.re 0.415 * [taylor]: Taking taylor expansion of x.re in x.re 0.416 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re 0.416 * [taylor]: Taking taylor expansion of -1 in x.re 0.416 * [taylor]: Taking taylor expansion of y.im in x.re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.416 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.416 * [taylor]: Taking taylor expansion of y.re in x.re 0.416 * [taylor]: Taking taylor expansion of x.im in x.re 0.416 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in x.re 0.416 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.416 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in x.re 0.416 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.416 * [taylor]: Taking taylor expansion of -1 in x.re 0.416 * [taylor]: Taking taylor expansion of x.re in x.re 0.416 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re 0.416 * [taylor]: Taking taylor expansion of -1 in x.re 0.416 * [taylor]: Taking taylor expansion of y.im in x.re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.416 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.416 * [taylor]: Taking taylor expansion of y.re in x.re 0.416 * [taylor]: Taking taylor expansion of x.im in x.re 0.417 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.417 * [taylor]: Taking taylor expansion of y.im in y.im 0.417 * [taylor]: Taking taylor expansion of 1 in x.im 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.418 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.418 * [taylor]: Taking taylor expansion of y.re in y.im 0.418 * [taylor]: Taking taylor expansion of x.im in y.im 0.418 * [taylor]: Taking taylor expansion of 0 in x.im 0.418 * [taylor]: Taking taylor expansion of 1 in y.re 0.420 * [taylor]: Taking taylor expansion of 0 in y.im 0.420 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.420 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.420 * [taylor]: Taking taylor expansion of y.re in x.im 0.420 * [taylor]: Taking taylor expansion of x.im in x.im 0.420 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.420 * [taylor]: Taking taylor expansion of y.re in y.re 0.421 * [taylor]: Taking taylor expansion of 0 in x.im 0.421 * [taylor]: Taking taylor expansion of 0 in y.re 0.421 * [taylor]: Taking taylor expansion of 0 in y.re 0.423 * [taylor]: Taking taylor expansion of 0 in y.im 0.423 * [taylor]: Taking taylor expansion of 0 in x.im 0.423 * [taylor]: Taking taylor expansion of 0 in x.im 0.424 * [taylor]: Taking taylor expansion of 0 in x.im 0.424 * [taylor]: Taking taylor expansion of 0 in y.re 0.424 * [taylor]: Taking taylor expansion of 0 in y.re 0.424 * [taylor]: Taking taylor expansion of 0 in y.re 0.424 * [taylor]: Taking taylor expansion of 0 in y.re 0.427 * [taylor]: Taking taylor expansion of 0 in y.im 0.427 * [taylor]: Taking taylor expansion of 0 in x.im 0.427 * [taylor]: Taking taylor expansion of 0 in x.im 0.428 * [taylor]: Taking taylor expansion of 0 in x.im 0.428 * [taylor]: Taking taylor expansion of 0 in x.im 0.428 * [taylor]: Taking taylor expansion of 0 in y.re 0.428 * [taylor]: Taking taylor expansion of 0 in y.re 0.428 * [taylor]: Taking taylor expansion of 0 in y.re 0.429 * [taylor]: Taking taylor expansion of 0 in y.re 0.429 * [taylor]: Taking taylor expansion of 0 in y.re 0.429 * [taylor]: Taking taylor expansion of 0 in y.re 0.429 * [taylor]: Taking taylor expansion of 0 in y.re 0.429 * * * [progress]: simplifying candidates 0.430 * [simplify]: Simplifying using # : (expm1 (fma x.re y.im (* x.im y.re))) (log1p (fma x.re y.im (* x.im y.re))) (* x.re y.im) (log (fma x.re y.im (* x.im y.re))) (exp (fma x.re y.im (* x.im y.re))) (* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re)))) (cbrt (fma x.re y.im (* x.im y.re))) (* (* (fma x.re y.im (* x.im y.re)) (fma x.re y.im (* x.im y.re))) (fma x.re y.im (* x.im y.re))) (sqrt (fma x.re y.im (* x.im y.re))) (sqrt (fma x.re y.im (* x.im y.re))) 0 (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)) 0.432 * * [simplify]: iteration 0 : 24 enodes (cost 41 ) 0.434 * * [simplify]: iteration 1 : 55 enodes (cost 36 ) 0.435 * * [simplify]: iteration 2 : 168 enodes (cost 36 ) 0.439 * * [simplify]: iteration 3 : 549 enodes (cost 36 ) 0.453 * * [simplify]: iteration 4 : 2691 enodes (cost 36 ) 0.503 * * [simplify]: iteration 5 : 5001 enodes (cost 36 ) 0.503 * [simplify]: Simplified to: (expm1 (fma x.re y.im (* x.im y.re))) (log1p (fma x.re y.im (* x.im y.re))) (* x.re y.im) (log (fma x.re y.im (* x.im y.re))) (exp (fma x.re y.im (* x.im y.re))) (* (cbrt (fma x.re y.im (* x.im y.re))) (cbrt (fma x.re y.im (* x.im y.re)))) (cbrt (fma x.re y.im (* x.im y.re))) (pow (fma y.re x.im (* y.im x.re)) 3) (sqrt (fma x.re y.im (* x.im y.re))) (sqrt (fma x.re y.im (* x.im y.re))) 0 (fma y.re x.im (* y.im x.re)) (fma y.re x.im (* y.im x.re)) 0.504 * * * [progress]: adding candidates to table 0.524 * [progress]: [Phase 3 of 3] Extracting. 0.524 * * [regime]: Finding splitpoints for: (# #) 0.525 * * * [regime-changes]: Trying 5 branch expressions: ((* x.im y.re) y.im y.re x.im x.re) 0.525 * * * * [regimes]: Trying to branch on (* x.im y.re) from (# #) 0.539 * * * * [regimes]: Trying to branch on y.im from (# #) 0.552 * * * * [regimes]: Trying to branch on y.re from (# #) 0.565 * * * * [regimes]: Trying to branch on x.im from (# #) 0.579 * * * * [regimes]: Trying to branch on x.re from (# #) 0.592 * * * [regime]: Found split indices: #