6.105 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (+ (* x.re y.im) (* x.im y.re)) 0.039 * * [simplify]: iteration 0 : 11 enodes (cost 2 ) 0.041 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.043 * * [simplify]: iteration 2 : 14 enodes (cost 2 ) 0.043 * [simplify]: Simplified to: (fma x.re y.im (* x.im y.re)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [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 0.062 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in y.re 0.062 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.062 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.re 0.062 * [taylor]: Taking taylor expansion of x.re in y.re 0.062 * [taylor]: Taking taylor expansion of y.im in y.re 0.062 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.062 * [taylor]: Taking taylor expansion of y.re in y.re 0.062 * [taylor]: Taking taylor expansion of x.im in y.re 0.062 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in x.im 0.062 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.062 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.im 0.062 * [taylor]: Taking taylor expansion of x.re in x.im 0.062 * [taylor]: Taking taylor expansion of y.im in x.im 0.063 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.063 * [taylor]: Taking taylor expansion of y.re in x.im 0.063 * [taylor]: Taking taylor expansion of x.im in x.im 0.063 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in y.im 0.063 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.063 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.im 0.063 * [taylor]: Taking taylor expansion of x.re in y.im 0.063 * [taylor]: Taking taylor expansion of y.im in y.im 0.063 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.063 * [taylor]: Taking taylor expansion of y.re in y.im 0.063 * [taylor]: Taking taylor expansion of x.im in y.im 0.063 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in x.re 0.063 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.063 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.re 0.063 * [taylor]: Taking taylor expansion of x.re in x.re 0.063 * [taylor]: Taking taylor expansion of y.im in x.re 0.063 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.063 * [taylor]: Taking taylor expansion of y.re in x.re 0.063 * [taylor]: Taking taylor expansion of x.im in x.re 0.063 * [taylor]: Taking taylor expansion of (fma x.re y.im (* y.re x.im)) in x.re 0.063 * [taylor]: Rewrote expression to (+ (* x.re y.im) (* y.re x.im)) 0.063 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.re 0.063 * [taylor]: Taking taylor expansion of x.re in x.re 0.063 * [taylor]: Taking taylor expansion of y.im in x.re 0.063 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.064 * [taylor]: Taking taylor expansion of y.re in x.re 0.064 * [taylor]: Taking taylor expansion of x.im in x.re 0.064 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.064 * [taylor]: Taking taylor expansion of y.re in y.im 0.064 * [taylor]: Taking taylor expansion of x.im in y.im 0.064 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.064 * [taylor]: Taking taylor expansion of y.re in x.im 0.064 * [taylor]: Taking taylor expansion of x.im in x.im 0.064 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of y.im in y.im 0.065 * [taylor]: Taking taylor expansion of 0 in x.im 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of 0 in x.im 0.065 * [taylor]: Taking taylor expansion of 0 in y.re 0.065 * [taylor]: Taking taylor expansion of y.re in y.re 0.067 * [taylor]: Taking taylor expansion of 0 in y.im 0.067 * [taylor]: Taking taylor expansion of 0 in x.im 0.067 * [taylor]: Taking taylor expansion of 0 in y.re 0.068 * [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 0.068 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in y.re 0.068 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.068 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in y.re 0.068 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.re 0.068 * [taylor]: Taking taylor expansion of x.re in y.re 0.068 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re 0.068 * [taylor]: Taking taylor expansion of y.im in y.re 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.068 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.068 * [taylor]: Taking taylor expansion of y.re in y.re 0.068 * [taylor]: Taking taylor expansion of x.im in y.re 0.069 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in x.im 0.069 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.069 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in x.im 0.069 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im 0.069 * [taylor]: Taking taylor expansion of x.re in x.im 0.069 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 0.069 * [taylor]: Taking taylor expansion of y.im in x.im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.069 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.069 * [taylor]: Taking taylor expansion of y.re in x.im 0.069 * [taylor]: Taking taylor expansion of x.im in x.im 0.070 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in y.im 0.070 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.070 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in y.im 0.070 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.im 0.070 * [taylor]: Taking taylor expansion of x.re in y.im 0.070 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.070 * [taylor]: Taking taylor expansion of y.im in y.im 0.070 * [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 0.071 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in x.re 0.071 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.071 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in x.re 0.071 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.071 * [taylor]: Taking taylor expansion of x.re in x.re 0.071 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re 0.071 * [taylor]: Taking taylor expansion of y.im in x.re 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.071 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.071 * [taylor]: Taking taylor expansion of y.re in x.re 0.071 * [taylor]: Taking taylor expansion of x.im in x.re 0.072 * [taylor]: Taking taylor expansion of (fma (/ 1 x.re) (/ 1 y.im) (/ 1 (* y.re x.im))) in x.re 0.072 * [taylor]: Rewrote expression to (+ (* (/ 1 x.re) (/ 1 y.im)) (/ 1 (* y.re x.im))) 0.072 * [taylor]: Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.im)) in x.re 0.072 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.072 * [taylor]: Taking taylor expansion of x.re in x.re 0.072 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re 0.072 * [taylor]: Taking taylor expansion of y.im in x.re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.072 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.072 * [taylor]: Taking taylor expansion of y.re in x.re 0.072 * [taylor]: Taking taylor expansion of x.im in x.re 0.073 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.073 * [taylor]: Taking taylor expansion of y.im in y.im 0.073 * [taylor]: Taking taylor expansion of 1 in x.im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.074 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.074 * [taylor]: Taking taylor expansion of y.re in y.im 0.074 * [taylor]: Taking taylor expansion of x.im in y.im 0.075 * [taylor]: Taking taylor expansion of 0 in x.im 0.075 * [taylor]: Taking taylor expansion of 1 in y.re 0.077 * [taylor]: Taking taylor expansion of 0 in y.im 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.077 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.077 * [taylor]: Taking taylor expansion of y.re in x.im 0.077 * [taylor]: Taking taylor expansion of x.im in x.im 0.078 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.078 * [taylor]: Taking taylor expansion of y.re in y.re 0.079 * [taylor]: Taking taylor expansion of 0 in x.im 0.079 * [taylor]: Taking taylor expansion of 0 in y.re 0.079 * [taylor]: Taking taylor expansion of 0 in y.re 0.082 * [taylor]: Taking taylor expansion of 0 in y.im 0.082 * [taylor]: Taking taylor expansion of 0 in x.im 0.083 * [taylor]: Taking taylor expansion of 0 in x.im 0.084 * [taylor]: Taking taylor expansion of 0 in x.im 0.084 * [taylor]: Taking taylor expansion of 0 in y.re 0.084 * [taylor]: Taking taylor expansion of 0 in y.re 0.084 * [taylor]: Taking taylor expansion of 0 in y.re 0.084 * [taylor]: Taking taylor expansion of 0 in y.re 0.088 * [taylor]: Taking taylor expansion of 0 in y.im 0.088 * [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 x.im 0.089 * [taylor]: Taking taylor expansion of 0 in x.im 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 0.089 * [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 * [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 0.090 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in y.re 0.090 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.090 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in y.re 0.090 * [taylor]: Taking taylor expansion of (/ -1 x.re) in y.re 0.090 * [taylor]: Taking taylor expansion of -1 in y.re 0.090 * [taylor]: Taking taylor expansion of x.re in y.re 0.090 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re 0.090 * [taylor]: Taking taylor expansion of -1 in y.re 0.090 * [taylor]: Taking taylor expansion of y.im in y.re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.090 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.090 * [taylor]: Taking taylor expansion of y.re in y.re 0.090 * [taylor]: Taking taylor expansion of x.im in y.re 0.091 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in x.im 0.091 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.091 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in x.im 0.091 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.im 0.091 * [taylor]: Taking taylor expansion of -1 in x.im 0.091 * [taylor]: Taking taylor expansion of x.re in x.im 0.091 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im 0.091 * [taylor]: Taking taylor expansion of -1 in x.im 0.091 * [taylor]: Taking taylor expansion of y.im in x.im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.091 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.091 * [taylor]: Taking taylor expansion of y.re in x.im 0.091 * [taylor]: Taking taylor expansion of x.im in x.im 0.091 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in y.im 0.091 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.091 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in y.im 0.092 * [taylor]: Taking taylor expansion of (/ -1 x.re) in y.im 0.092 * [taylor]: Taking taylor expansion of -1 in y.im 0.092 * [taylor]: Taking taylor expansion of x.re in y.im 0.092 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im 0.092 * [taylor]: Taking taylor expansion of -1 in y.im 0.092 * [taylor]: Taking taylor expansion of y.im in y.im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.092 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.092 * [taylor]: Taking taylor expansion of y.re in y.im 0.092 * [taylor]: Taking taylor expansion of x.im in y.im 0.092 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in x.re 0.092 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.092 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in x.re 0.092 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.092 * [taylor]: Taking taylor expansion of -1 in x.re 0.092 * [taylor]: Taking taylor expansion of x.re in x.re 0.092 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re 0.092 * [taylor]: Taking taylor expansion of -1 in x.re 0.092 * [taylor]: Taking taylor expansion of y.im in x.re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.093 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.093 * [taylor]: Taking taylor expansion of y.re in x.re 0.093 * [taylor]: Taking taylor expansion of x.im in x.re 0.093 * [taylor]: Taking taylor expansion of (fma (/ -1 x.re) (/ -1 y.im) (/ 1 (* y.re x.im))) in x.re 0.093 * [taylor]: Rewrote expression to (+ (* (/ -1 x.re) (/ -1 y.im)) (/ 1 (* y.re x.im))) 0.093 * [taylor]: Taking taylor expansion of (* (/ -1 x.re) (/ -1 y.im)) in x.re 0.093 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.093 * [taylor]: Taking taylor expansion of -1 in x.re 0.093 * [taylor]: Taking taylor expansion of x.re in x.re 0.093 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re 0.093 * [taylor]: Taking taylor expansion of -1 in x.re 0.093 * [taylor]: Taking taylor expansion of y.im in x.re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.093 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.093 * [taylor]: Taking taylor expansion of y.re in x.re 0.093 * [taylor]: Taking taylor expansion of x.im in x.re 0.093 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.093 * [taylor]: Taking taylor expansion of y.im in y.im 0.094 * [taylor]: Taking taylor expansion of 1 in x.im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.094 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.094 * [taylor]: Taking taylor expansion of y.re in y.im 0.094 * [taylor]: Taking taylor expansion of x.im in y.im 0.095 * [taylor]: Taking taylor expansion of 0 in x.im 0.095 * [taylor]: Taking taylor expansion of 1 in y.re 0.096 * [taylor]: Taking taylor expansion of 0 in y.im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.096 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.096 * [taylor]: Taking taylor expansion of y.re in x.im 0.096 * [taylor]: Taking taylor expansion of x.im in x.im 0.097 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.097 * [taylor]: Taking taylor expansion of y.re in y.re 0.097 * [taylor]: Taking taylor expansion of 0 in x.im 0.097 * [taylor]: Taking taylor expansion of 0 in y.re 0.097 * [taylor]: Taking taylor expansion of 0 in y.re 0.099 * [taylor]: Taking taylor expansion of 0 in y.im 0.099 * [taylor]: Taking taylor expansion of 0 in x.im 0.099 * [taylor]: Taking taylor expansion of 0 in x.im 0.100 * [taylor]: Taking taylor expansion of 0 in x.im 0.100 * [taylor]: Taking taylor expansion of 0 in y.re 0.100 * [taylor]: Taking taylor expansion of 0 in y.re 0.100 * [taylor]: Taking taylor expansion of 0 in y.re 0.100 * [taylor]: Taking taylor expansion of 0 in y.re 0.103 * [taylor]: Taking taylor expansion of 0 in y.im 0.103 * [taylor]: Taking taylor expansion of 0 in x.im 0.103 * [taylor]: Taking taylor expansion of 0 in x.im 0.103 * [taylor]: Taking taylor expansion of 0 in x.im 0.104 * [taylor]: Taking taylor expansion of 0 in x.im 0.104 * [taylor]: Taking taylor expansion of 0 in y.re 0.104 * [taylor]: Taking taylor expansion of 0 in y.re 0.104 * [taylor]: Taking taylor expansion of 0 in y.re 0.105 * [taylor]: Taking taylor expansion of 0 in y.re 0.105 * [taylor]: Taking taylor expansion of 0 in y.re 0.105 * [taylor]: Taking taylor expansion of 0 in y.re 0.105 * [taylor]: Taking taylor expansion of 0 in y.re 0.105 * * * [progress]: simplifying candidates 0.105 * [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)) 0.108 * * [simplify]: iteration 0 : 24 enodes (cost 41 ) 0.109 * * [simplify]: iteration 1 : 55 enodes (cost 36 ) 0.111 * * [simplify]: iteration 2 : 168 enodes (cost 36 ) 0.115 * * [simplify]: iteration 3 : 549 enodes (cost 36 ) 0.129 * * [simplify]: iteration 4 : 2691 enodes (cost 36 ) 0.180 * * [simplify]: iteration 5 : 5001 enodes (cost 36 ) 0.180 * [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)) 0.181 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.217 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.217 * [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 0.217 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in x.re 0.217 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.217 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.217 * [taylor]: Taking taylor expansion of y.re in x.re 0.218 * [taylor]: Taking taylor expansion of x.im in x.re 0.218 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.218 * [taylor]: Taking taylor expansion of y.im in x.re 0.218 * [taylor]: Taking taylor expansion of x.re in x.re 0.218 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in y.im 0.218 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.218 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.218 * [taylor]: Taking taylor expansion of y.re in y.im 0.218 * [taylor]: Taking taylor expansion of x.im in y.im 0.218 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.218 * [taylor]: Taking taylor expansion of y.im in y.im 0.218 * [taylor]: Taking taylor expansion of x.re in y.im 0.218 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in x.im 0.218 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.218 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.218 * [taylor]: Taking taylor expansion of y.re in x.im 0.218 * [taylor]: Taking taylor expansion of x.im in x.im 0.218 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.218 * [taylor]: Taking taylor expansion of y.im in x.im 0.218 * [taylor]: Taking taylor expansion of x.re in x.im 0.218 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in y.re 0.218 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.218 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.218 * [taylor]: Taking taylor expansion of y.re in y.re 0.218 * [taylor]: Taking taylor expansion of x.im in y.re 0.218 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.218 * [taylor]: Taking taylor expansion of y.im in y.re 0.218 * [taylor]: Taking taylor expansion of x.re in y.re 0.218 * [taylor]: Taking taylor expansion of (fma y.re x.im (* y.im x.re)) in y.re 0.218 * [taylor]: Rewrote expression to (+ (* y.re x.im) (* y.im x.re)) 0.218 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.218 * [taylor]: Taking taylor expansion of y.re in y.re 0.218 * [taylor]: Taking taylor expansion of x.im in y.re 0.218 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.218 * [taylor]: Taking taylor expansion of y.im in y.re 0.218 * [taylor]: Taking taylor expansion of x.re in y.re 0.219 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.219 * [taylor]: Taking taylor expansion of y.im in x.im 0.219 * [taylor]: Taking taylor expansion of x.re in x.im 0.219 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.219 * [taylor]: Taking taylor expansion of y.im in y.im 0.219 * [taylor]: Taking taylor expansion of x.re in y.im 0.219 * [taylor]: Taking taylor expansion of 0 in x.re 0.219 * [taylor]: Taking taylor expansion of x.im in x.im 0.219 * [taylor]: Taking taylor expansion of 0 in y.im 0.219 * [taylor]: Taking taylor expansion of 0 in x.re 0.219 * [taylor]: Taking taylor expansion of 0 in y.im 0.219 * [taylor]: Taking taylor expansion of 0 in x.re 0.220 * [taylor]: Taking taylor expansion of x.re in x.re 0.221 * [taylor]: Taking taylor expansion of 0 in x.im 0.221 * [taylor]: Taking taylor expansion of 0 in y.im 0.221 * [taylor]: Taking taylor expansion of 0 in x.re 0.221 * [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 0.221 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in x.re 0.221 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.221 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in x.re 0.221 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re 0.221 * [taylor]: Taking taylor expansion of y.re in x.re 0.221 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 0.221 * [taylor]: Taking taylor expansion of x.im in x.re 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.221 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.221 * [taylor]: Taking taylor expansion of y.im in x.re 0.221 * [taylor]: Taking taylor expansion of x.re in x.re 0.221 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in y.im 0.221 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.221 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in y.im 0.221 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im 0.222 * [taylor]: Taking taylor expansion of y.re in y.im 0.222 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im 0.222 * [taylor]: Taking taylor expansion of x.im in y.im 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.222 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.222 * [taylor]: Taking taylor expansion of y.im in y.im 0.222 * [taylor]: Taking taylor expansion of x.re in y.im 0.222 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in x.im 0.222 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.222 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in x.im 0.222 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im 0.222 * [taylor]: Taking taylor expansion of y.re in x.im 0.222 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.222 * [taylor]: Taking taylor expansion of x.im in x.im 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.222 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.222 * [taylor]: Taking taylor expansion of y.im in x.im 0.222 * [taylor]: Taking taylor expansion of x.re in x.im 0.222 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in y.re 0.223 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.223 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in y.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.223 * [taylor]: Taking taylor expansion of y.re in y.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.re 0.223 * [taylor]: Taking taylor expansion of x.im in y.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.223 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.223 * [taylor]: Taking taylor expansion of y.im in y.re 0.223 * [taylor]: Taking taylor expansion of x.re in y.re 0.223 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 x.im) (/ 1 (* y.im x.re))) in y.re 0.223 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 x.im)) (/ 1 (* y.im x.re))) 0.223 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 x.im)) in y.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.223 * [taylor]: Taking taylor expansion of y.re in y.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.re 0.223 * [taylor]: Taking taylor expansion of x.im in y.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.223 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.224 * [taylor]: Taking taylor expansion of y.im in y.re 0.224 * [taylor]: Taking taylor expansion of x.re in y.re 0.224 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.224 * [taylor]: Taking taylor expansion of x.im in x.im 0.224 * [taylor]: Taking taylor expansion of 1 in y.im 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.225 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.225 * [taylor]: Taking taylor expansion of y.im in x.im 0.225 * [taylor]: Taking taylor expansion of x.re in x.im 0.225 * [taylor]: Taking taylor expansion of 0 in y.im 0.225 * [taylor]: Taking taylor expansion of 1 in x.re 0.227 * [taylor]: Taking taylor expansion of 0 in x.im 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.227 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.227 * [taylor]: Taking taylor expansion of y.im in y.im 0.227 * [taylor]: Taking taylor expansion of x.re in y.im 0.227 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.227 * [taylor]: Taking taylor expansion of x.re in x.re 0.228 * [taylor]: Taking taylor expansion of 0 in y.im 0.228 * [taylor]: Taking taylor expansion of 0 in x.re 0.228 * [taylor]: Taking taylor expansion of 0 in x.re 0.229 * [taylor]: Taking taylor expansion of 0 in x.im 0.230 * [taylor]: Taking taylor expansion of 0 in y.im 0.230 * [taylor]: Taking taylor expansion of 0 in y.im 0.230 * [taylor]: Taking taylor expansion of 0 in y.im 0.231 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [taylor]: Taking taylor expansion of 0 in x.re 0.234 * [taylor]: Taking taylor expansion of 0 in x.im 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.235 * [taylor]: Taking taylor expansion of 0 in y.im 0.235 * [taylor]: Taking taylor expansion of 0 in x.re 0.235 * [taylor]: Taking taylor expansion of 0 in x.re 0.235 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [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 0.236 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in x.re 0.236 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.236 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in x.re 0.236 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re 0.236 * [taylor]: Taking taylor expansion of -1 in x.re 0.237 * [taylor]: Taking taylor expansion of y.re in x.re 0.237 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.re 0.237 * [taylor]: Taking taylor expansion of -1 in x.re 0.237 * [taylor]: Taking taylor expansion of x.im in x.re 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.237 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.237 * [taylor]: Taking taylor expansion of y.im in x.re 0.237 * [taylor]: Taking taylor expansion of x.re in x.re 0.237 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in y.im 0.237 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.237 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in y.im 0.237 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im 0.237 * [taylor]: Taking taylor expansion of -1 in y.im 0.237 * [taylor]: Taking taylor expansion of y.re in y.im 0.237 * [taylor]: Taking taylor expansion of (/ -1 x.im) in y.im 0.237 * [taylor]: Taking taylor expansion of -1 in y.im 0.237 * [taylor]: Taking taylor expansion of x.im in y.im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.237 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.237 * [taylor]: Taking taylor expansion of y.im in y.im 0.237 * [taylor]: Taking taylor expansion of x.re in y.im 0.238 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in x.im 0.238 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.238 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in x.im 0.238 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im 0.238 * [taylor]: Taking taylor expansion of -1 in x.im 0.238 * [taylor]: Taking taylor expansion of y.re in x.im 0.238 * [taylor]: Taking taylor expansion of (/ -1 x.im) in x.im 0.238 * [taylor]: Taking taylor expansion of -1 in x.im 0.238 * [taylor]: Taking taylor expansion of x.im in x.im 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.238 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.238 * [taylor]: Taking taylor expansion of y.im in x.im 0.238 * [taylor]: Taking taylor expansion of x.re in x.im 0.238 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in y.re 0.238 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.238 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in y.re 0.238 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re 0.238 * [taylor]: Taking taylor expansion of -1 in y.re 0.238 * [taylor]: Taking taylor expansion of y.re in y.re 0.239 * [taylor]: Taking taylor expansion of (/ -1 x.im) in y.re 0.239 * [taylor]: Taking taylor expansion of -1 in y.re 0.239 * [taylor]: Taking taylor expansion of x.im in y.re 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.239 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.239 * [taylor]: Taking taylor expansion of y.im in y.re 0.239 * [taylor]: Taking taylor expansion of x.re in y.re 0.239 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 x.im) (/ 1 (* y.im x.re))) in y.re 0.239 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 x.im)) (/ 1 (* y.im x.re))) 0.239 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 x.im)) in y.re 0.239 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re 0.239 * [taylor]: Taking taylor expansion of -1 in y.re 0.239 * [taylor]: Taking taylor expansion of y.re in y.re 0.239 * [taylor]: Taking taylor expansion of (/ -1 x.im) in y.re 0.239 * [taylor]: Taking taylor expansion of -1 in y.re 0.239 * [taylor]: Taking taylor expansion of x.im in y.re 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.239 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.239 * [taylor]: Taking taylor expansion of y.im in y.re 0.239 * [taylor]: Taking taylor expansion of x.re in y.re 0.240 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 0.240 * [taylor]: Taking taylor expansion of x.im in x.im 0.240 * [taylor]: Taking taylor expansion of 1 in y.im 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.241 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.241 * [taylor]: Taking taylor expansion of y.im in x.im 0.241 * [taylor]: Taking taylor expansion of x.re in x.im 0.241 * [taylor]: Taking taylor expansion of 0 in y.im 0.241 * [taylor]: Taking taylor expansion of 1 in x.re 0.243 * [taylor]: Taking taylor expansion of 0 in x.im 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.243 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.243 * [taylor]: Taking taylor expansion of y.im in y.im 0.243 * [taylor]: Taking taylor expansion of x.re in y.im 0.243 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.243 * [taylor]: Taking taylor expansion of x.re in x.re 0.244 * [taylor]: Taking taylor expansion of 0 in y.im 0.244 * [taylor]: Taking taylor expansion of 0 in x.re 0.244 * [taylor]: Taking taylor expansion of 0 in x.re 0.246 * [taylor]: Taking taylor expansion of 0 in x.im 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.247 * [taylor]: Taking taylor expansion of 0 in x.re 0.247 * [taylor]: Taking taylor expansion of 0 in x.re 0.247 * [taylor]: Taking taylor expansion of 0 in x.re 0.247 * [taylor]: Taking taylor expansion of 0 in x.re 0.249 * [taylor]: Taking taylor expansion of 0 in x.im 0.250 * [taylor]: Taking taylor expansion of 0 in y.im 0.250 * [taylor]: Taking taylor expansion of 0 in y.im 0.250 * [taylor]: Taking taylor expansion of 0 in y.im 0.250 * [taylor]: Taking taylor expansion of 0 in y.im 0.250 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.252 * * * [progress]: simplifying candidates 0.252 * [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)) 0.255 * * [simplify]: iteration 0 : 22 enodes (cost 41 ) 0.256 * * [simplify]: iteration 1 : 52 enodes (cost 36 ) 0.258 * * [simplify]: iteration 2 : 165 enodes (cost 36 ) 0.261 * * [simplify]: iteration 3 : 546 enodes (cost 36 ) 0.276 * * [simplify]: iteration 4 : 2688 enodes (cost 36 ) 0.327 * * [simplify]: iteration 5 : 5001 enodes (cost 36 ) 0.327 * [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)) 0.327 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 3 / 4 0.354 * * * [progress]: picking best candidate 0.355 * * * * [pick]: Picked # 0.355 * * * [progress]: localizing error 0.360 * * * [progress]: generating rewritten candidates 0.360 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.368 * * * [progress]: generating series expansions 0.368 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.368 * [approximate]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in (x.re y.im x.im y.re) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.re 0.368 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.368 * [taylor]: Taking taylor expansion of y.re in y.re 0.368 * [taylor]: Taking taylor expansion of x.im in y.re 0.368 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.368 * [taylor]: Taking taylor expansion of y.im in y.re 0.368 * [taylor]: Taking taylor expansion of x.re in y.re 0.368 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.im 0.368 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.368 * [taylor]: Taking taylor expansion of y.re in x.im 0.368 * [taylor]: Taking taylor expansion of x.im in x.im 0.369 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.369 * [taylor]: Taking taylor expansion of y.im in x.im 0.369 * [taylor]: Taking taylor expansion of x.re in x.im 0.369 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in y.im 0.369 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.369 * [taylor]: Taking taylor expansion of y.re in y.im 0.369 * [taylor]: Taking taylor expansion of x.im in y.im 0.369 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.369 * [taylor]: Taking taylor expansion of y.im in y.im 0.369 * [taylor]: Taking taylor expansion of x.re in y.im 0.369 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.369 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.369 * [taylor]: Taking taylor expansion of y.re in x.re 0.369 * [taylor]: Taking taylor expansion of x.im in x.re 0.369 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.369 * [taylor]: Taking taylor expansion of y.im in x.re 0.369 * [taylor]: Taking taylor expansion of x.re in x.re 0.369 * [taylor]: Taking taylor expansion of (+ (* y.re x.im) (* y.im x.re)) in x.re 0.369 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.369 * [taylor]: Taking taylor expansion of y.re in x.re 0.369 * [taylor]: Taking taylor expansion of x.im in x.re 0.369 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.369 * [taylor]: Taking taylor expansion of y.im in x.re 0.369 * [taylor]: Taking taylor expansion of x.re in x.re 0.369 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.369 * [taylor]: Taking taylor expansion of y.re in y.im 0.369 * [taylor]: Taking taylor expansion of x.im in y.im 0.369 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.369 * [taylor]: Taking taylor expansion of y.re in x.im 0.369 * [taylor]: Taking taylor expansion of x.im in x.im 0.369 * [taylor]: Taking taylor expansion of 0 in y.re 0.370 * [taylor]: Taking taylor expansion of y.im in y.im 0.370 * [taylor]: Taking taylor expansion of 0 in x.im 0.370 * [taylor]: Taking taylor expansion of 0 in y.re 0.370 * [taylor]: Taking taylor expansion of 0 in x.im 0.370 * [taylor]: Taking taylor expansion of 0 in y.re 0.370 * [taylor]: Taking taylor expansion of y.re in y.re 0.371 * [taylor]: Taking taylor expansion of 0 in y.im 0.371 * [taylor]: Taking taylor expansion of 0 in x.im 0.371 * [taylor]: Taking taylor expansion of 0 in y.re 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.371 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.371 * [taylor]: Taking taylor expansion of y.re in y.re 0.371 * [taylor]: Taking taylor expansion of x.im in y.re 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.371 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.371 * [taylor]: Taking taylor expansion of y.im in y.re 0.371 * [taylor]: Taking taylor expansion of x.re in y.re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.372 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.372 * [taylor]: Taking taylor expansion of y.re in x.im 0.372 * [taylor]: Taking taylor expansion of x.im in x.im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.372 * [taylor]: Taking taylor expansion of y.im in x.im 0.372 * [taylor]: Taking taylor expansion of x.re in x.im 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.372 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.372 * [taylor]: Taking taylor expansion of y.re in y.im 0.372 * [taylor]: Taking taylor expansion of x.im in y.im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.372 * [taylor]: Taking taylor expansion of y.im in y.im 0.372 * [taylor]: Taking taylor expansion of x.re in y.im 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.372 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.372 * [taylor]: Taking taylor expansion of y.re in x.re 0.373 * [taylor]: Taking taylor expansion of x.im in x.re 0.373 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.373 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.373 * [taylor]: Taking taylor expansion of y.im in x.re 0.373 * [taylor]: Taking taylor expansion of x.re in x.re 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.373 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.373 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.373 * [taylor]: Taking taylor expansion of y.re in x.re 0.373 * [taylor]: Taking taylor expansion of x.im in x.re 0.373 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.373 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.373 * [taylor]: Taking taylor expansion of y.im in x.re 0.373 * [taylor]: Taking taylor expansion of x.re in x.re 0.373 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.373 * [taylor]: Taking taylor expansion of y.im in y.im 0.374 * [taylor]: Taking taylor expansion of 1 in x.im 0.374 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.374 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.374 * [taylor]: Taking taylor expansion of y.re in y.im 0.374 * [taylor]: Taking taylor expansion of x.im in y.im 0.375 * [taylor]: Taking taylor expansion of 0 in x.im 0.375 * [taylor]: Taking taylor expansion of 1 in y.re 0.375 * [taylor]: Taking taylor expansion of 0 in y.im 0.376 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.376 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.376 * [taylor]: Taking taylor expansion of y.re in x.im 0.376 * [taylor]: Taking taylor expansion of x.im in x.im 0.376 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.376 * [taylor]: Taking taylor expansion of y.re in y.re 0.377 * [taylor]: Taking taylor expansion of 0 in x.im 0.377 * [taylor]: Taking taylor expansion of 0 in y.re 0.377 * [taylor]: Taking taylor expansion of 0 in y.re 0.378 * [taylor]: Taking taylor expansion of 0 in y.im 0.378 * [taylor]: Taking taylor expansion of 0 in x.im 0.378 * [taylor]: Taking taylor expansion of 0 in x.im 0.379 * [taylor]: Taking taylor expansion of 0 in x.im 0.379 * [taylor]: Taking taylor expansion of 0 in y.re 0.379 * [taylor]: Taking taylor expansion of 0 in y.re 0.379 * [taylor]: Taking taylor expansion of 0 in y.re 0.379 * [taylor]: Taking taylor expansion of 0 in y.re 0.381 * [taylor]: Taking taylor expansion of 0 in y.im 0.381 * [taylor]: Taking taylor expansion of 0 in x.im 0.381 * [taylor]: Taking taylor expansion of 0 in x.im 0.381 * [taylor]: Taking taylor expansion of 0 in x.im 0.382 * [taylor]: Taking taylor expansion of 0 in x.im 0.382 * [taylor]: Taking taylor expansion of 0 in y.re 0.382 * [taylor]: Taking taylor expansion of 0 in y.re 0.382 * [taylor]: Taking taylor expansion of 0 in y.re 0.383 * [taylor]: Taking taylor expansion of 0 in y.re 0.383 * [taylor]: Taking taylor expansion of 0 in y.re 0.383 * [taylor]: Taking taylor expansion of 0 in y.re 0.383 * [taylor]: Taking taylor expansion of 0 in y.re 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re 0.383 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re 0.383 * [taylor]: Taking taylor expansion of y.re in y.re 0.383 * [taylor]: Taking taylor expansion of x.im in y.re 0.384 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re 0.384 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re 0.384 * [taylor]: Taking taylor expansion of y.im in y.re 0.384 * [taylor]: Taking taylor expansion of x.re in y.re 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.384 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.384 * [taylor]: Taking taylor expansion of y.re in x.im 0.384 * [taylor]: Taking taylor expansion of x.im in x.im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im 0.384 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im 0.384 * [taylor]: Taking taylor expansion of y.im in x.im 0.384 * [taylor]: Taking taylor expansion of x.re in x.im 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.384 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.384 * [taylor]: Taking taylor expansion of y.re in y.im 0.384 * [taylor]: Taking taylor expansion of x.im in y.im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im 0.384 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im 0.384 * [taylor]: Taking taylor expansion of y.im in y.im 0.384 * [taylor]: Taking taylor expansion of x.re in y.im 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.385 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.385 * [taylor]: Taking taylor expansion of y.re in x.re 0.385 * [taylor]: Taking taylor expansion of x.im in x.re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.385 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.385 * [taylor]: Taking taylor expansion of y.im in x.re 0.385 * [taylor]: Taking taylor expansion of x.re in x.re 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re 0.385 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re 0.385 * [taylor]: Taking taylor expansion of y.re in x.re 0.385 * [taylor]: Taking taylor expansion of x.im in x.re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re 0.385 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re 0.385 * [taylor]: Taking taylor expansion of y.im in x.re 0.385 * [taylor]: Taking taylor expansion of x.re in x.re 0.386 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.386 * [taylor]: Taking taylor expansion of y.im in y.im 0.386 * [taylor]: Taking taylor expansion of 1 in x.im 0.386 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im 0.386 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im 0.386 * [taylor]: Taking taylor expansion of y.re in y.im 0.386 * [taylor]: Taking taylor expansion of x.im in y.im 0.387 * [taylor]: Taking taylor expansion of 0 in x.im 0.387 * [taylor]: Taking taylor expansion of 1 in y.re 0.388 * [taylor]: Taking taylor expansion of 0 in y.im 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im 0.388 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im 0.388 * [taylor]: Taking taylor expansion of y.re in x.im 0.388 * [taylor]: Taking taylor expansion of x.im in x.im 0.388 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.388 * [taylor]: Taking taylor expansion of y.re in y.re 0.389 * [taylor]: Taking taylor expansion of 0 in x.im 0.389 * [taylor]: Taking taylor expansion of 0 in y.re 0.389 * [taylor]: Taking taylor expansion of 0 in y.re 0.392 * [taylor]: Taking taylor expansion of 0 in y.im 0.392 * [taylor]: Taking taylor expansion of 0 in x.im 0.392 * [taylor]: Taking taylor expansion of 0 in x.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 y.re 0.393 * [taylor]: Taking taylor expansion of 0 in y.re 0.393 * [taylor]: Taking taylor expansion of 0 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 x.im 0.396 * [taylor]: Taking taylor expansion of 0 in x.im 0.396 * [taylor]: Taking taylor expansion of 0 in x.im 0.396 * [taylor]: Taking taylor expansion of 0 in y.re 0.396 * [taylor]: Taking taylor expansion of 0 in y.re 0.396 * [taylor]: Taking taylor expansion of 0 in y.re 0.397 * [taylor]: Taking taylor expansion of 0 in y.re 0.397 * [taylor]: Taking taylor expansion of 0 in y.re 0.397 * [taylor]: Taking taylor expansion of 0 in y.re 0.397 * [taylor]: Taking taylor expansion of 0 in y.re 0.397 * * * [progress]: simplifying candidates 0.398 * [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)) 0.401 * * [simplify]: iteration 0 : 108 enodes (cost 78 ) 0.403 * * [simplify]: iteration 1 : 403 enodes (cost 68 ) 0.412 * * [simplify]: iteration 2 : 1283 enodes (cost 68 ) 0.437 * * [simplify]: iteration 3 : 3949 enodes (cost 68 ) 0.519 * * [simplify]: iteration 4 : 5001 enodes (cost 68 ) 0.520 * [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)) 0.520 * * * [progress]: adding candidates to table 0.551 * [progress]: [Phase 3 of 3] Extracting. 0.551 * * [regime]: Finding splitpoints for: (# #) 0.551 * * * [regime-changes]: Trying 7 branch expressions: ((* x.im y.re) (* x.re y.im) (+ (* x.re y.im) (* x.im y.re)) y.im y.re x.im x.re) 0.551 * * * * [regimes]: Trying to branch on (* x.im y.re) from (# #) 0.566 * * * * [regimes]: Trying to branch on (* x.re y.im) from (# #) 0.579 * * * * [regimes]: Trying to branch on (+ (* x.re y.im) (* x.im y.re)) from (# #) 0.591 * * * * [regimes]: Trying to branch on y.im from (# #) 0.606 * * * * [regimes]: Trying to branch on y.re from (# #) 0.619 * * * * [regimes]: Trying to branch on x.im from (# #) 0.633 * * * * [regimes]: Trying to branch on x.re from (# #) 0.646 * * * [regime]: Found split indices: #