54.759 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.046 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.047 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.048 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.050 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.050 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.084 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.085 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.091 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of 1/2 in im 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.101 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.119 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.119 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.123 * [taylor]: Taking taylor expansion of 1/2 in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of 2 in im 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.151 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.161 * [taylor]: Taking taylor expansion of 1/2 in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.167 * * * [progress]: simplifying candidates 0.168 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) (+ re im) (* 2 re) 0 0.171 * * [simplify]: iteration 0 : 155 enodes (cost 205 ) 0.174 * * [simplify]: iteration 1 : 421 enodes (cost 183 ) 0.181 * * [simplify]: iteration 2 : 1067 enodes (cost 180 ) 0.200 * * [simplify]: iteration 3 : 3190 enodes (cost 179 ) 0.251 * * [simplify]: iteration 4 : 5001 enodes (cost 178 ) 0.252 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (fma -1 re (hypot re im)) (+ re (hypot re im)) im re (* -1 re) (+ re im) (* 2 re) 0 0.252 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 2 / 4 0.371 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.381 * * * [progress]: localizing error 0.387 * * * [progress]: generating rewritten candidates 0.387 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.390 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 1) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.391 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.391 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.391 * [taylor]: Taking taylor expansion of re in im 0.391 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.391 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.391 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.391 * [taylor]: Taking taylor expansion of (* re re) in im 0.391 * [taylor]: Taking taylor expansion of re in im 0.391 * [taylor]: Taking taylor expansion of re in im 0.391 * [taylor]: Taking taylor expansion of (* im im) in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.393 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.393 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.393 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.393 * [taylor]: Taking taylor expansion of (* re re) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [taylor]: Taking taylor expansion of (* im im) in re 0.393 * [taylor]: Taking taylor expansion of im in re 0.393 * [taylor]: Taking taylor expansion of im in re 0.394 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.394 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.394 * [taylor]: Taking taylor expansion of (* re re) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [taylor]: Taking taylor expansion of (* im im) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.395 * [taylor]: Taking taylor expansion of im in im 0.396 * [taylor]: Taking taylor expansion of 1 in im 0.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.397 * [taylor]: Taking taylor expansion of 1/2 in im 0.397 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.404 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.404 * [taylor]: Taking taylor expansion of im in im 0.405 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.407 * [taylor]: Taking taylor expansion of re in re 0.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.408 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.408 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.408 * [taylor]: Taking taylor expansion of im in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.409 * [taylor]: Taking taylor expansion of im in re 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.412 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.412 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.412 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.412 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.415 * [taylor]: Taking taylor expansion of 2 in im 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.419 * [taylor]: Taking taylor expansion of 1/2 in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.424 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.425 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.426 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.426 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.426 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [taylor]: Taking taylor expansion of re in im 0.426 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.426 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [taylor]: Taking taylor expansion of re in im 0.426 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.426 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.426 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.426 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.429 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.429 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.429 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.429 * [taylor]: Taking taylor expansion of -1 in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.429 * [taylor]: Taking taylor expansion of -1 in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.430 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.430 * [taylor]: Taking taylor expansion of -1 in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.430 * [taylor]: Taking taylor expansion of -1 in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.433 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.433 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.433 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.433 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.433 * [taylor]: Taking taylor expansion of -1 in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.433 * [taylor]: Taking taylor expansion of -1 in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.434 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.434 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.434 * [taylor]: Taking taylor expansion of -1 in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.434 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.434 * [taylor]: Taking taylor expansion of -1 in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.437 * [taylor]: Taking taylor expansion of 0 in im 0.438 * [taylor]: Taking taylor expansion of 0 in im 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.441 * [taylor]: Taking taylor expansion of 1/2 in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.446 * [taylor]: Taking taylor expansion of 0 in im 0.448 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 1) 0.448 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.448 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.448 * [taylor]: Taking taylor expansion of (* re re) in im 0.448 * [taylor]: Taking taylor expansion of re in im 0.448 * [taylor]: Taking taylor expansion of re in im 0.448 * [taylor]: Taking taylor expansion of (* im im) in im 0.448 * [taylor]: Taking taylor expansion of im in im 0.448 * [taylor]: Taking taylor expansion of im in im 0.449 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.450 * [taylor]: Taking taylor expansion of (* re re) in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [taylor]: Taking taylor expansion of (* im im) in re 0.450 * [taylor]: Taking taylor expansion of im in re 0.450 * [taylor]: Taking taylor expansion of im in re 0.451 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.451 * [taylor]: Taking taylor expansion of (* re re) in re 0.451 * [taylor]: Taking taylor expansion of re in re 0.451 * [taylor]: Taking taylor expansion of re in re 0.451 * [taylor]: Taking taylor expansion of (* im im) in re 0.451 * [taylor]: Taking taylor expansion of im in re 0.451 * [taylor]: Taking taylor expansion of im in re 0.452 * [taylor]: Taking taylor expansion of im in im 0.452 * [taylor]: Taking taylor expansion of 0 in im 0.454 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.454 * [taylor]: Taking taylor expansion of 1/2 in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.456 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.456 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.456 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.457 * [taylor]: Taking taylor expansion of re in im 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.457 * [taylor]: Taking taylor expansion of re in im 0.457 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.460 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.460 * [taylor]: Taking taylor expansion of im in re 0.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.463 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.463 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.463 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.467 * [taylor]: Taking taylor expansion of 1 in im 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.469 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.469 * [taylor]: Taking taylor expansion of 1/2 in im 0.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.469 * [taylor]: Taking taylor expansion of im in im 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.474 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.474 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.474 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.474 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.474 * [taylor]: Taking taylor expansion of -1 in im 0.474 * [taylor]: Taking taylor expansion of re in im 0.474 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.474 * [taylor]: Taking taylor expansion of -1 in im 0.474 * [taylor]: Taking taylor expansion of re in im 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.474 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.474 * [taylor]: Taking taylor expansion of -1 in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.475 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.475 * [taylor]: Taking taylor expansion of -1 in im 0.475 * [taylor]: Taking taylor expansion of im in im 0.478 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.478 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.478 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.479 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.479 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.479 * [taylor]: Taking taylor expansion of -1 in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.479 * [taylor]: Taking taylor expansion of -1 in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.482 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.482 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.482 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.482 * [taylor]: Taking taylor expansion of -1 in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.482 * [taylor]: Taking taylor expansion of -1 in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.482 * [taylor]: Taking taylor expansion of -1 in re 0.482 * [taylor]: Taking taylor expansion of im in re 0.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.482 * [taylor]: Taking taylor expansion of -1 in re 0.482 * [taylor]: Taking taylor expansion of im in re 0.488 * [taylor]: Taking taylor expansion of 1 in im 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.490 * [taylor]: Taking taylor expansion of 1/2 in im 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.494 * [taylor]: Taking taylor expansion of 0 in im 0.495 * * * [progress]: simplifying candidates 0.496 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.499 * * [simplify]: iteration 0 : 87 enodes (cost 85 ) 0.501 * * [simplify]: iteration 1 : 176 enodes (cost 79 ) 0.504 * * [simplify]: iteration 2 : 380 enodes (cost 79 ) 0.510 * * [simplify]: iteration 3 : 1030 enodes (cost 78 ) 0.527 * * [simplify]: iteration 4 : 3143 enodes (cost 78 ) 0.566 * * [simplify]: iteration 5 : 5001 enodes (cost 78 ) 0.567 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (* re re)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.567 * * * [progress]: adding candidates to table 0.649 * * [progress]: iteration 3 / 4 0.649 * * * [progress]: picking best candidate 0.666 * * * * [pick]: Picked # 0.666 * * * [progress]: localizing error 0.675 * * * [progress]: generating rewritten candidates 0.675 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 0.688 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.688 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.690 * * * [progress]: generating series expansions 0.690 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.691 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.691 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.691 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.691 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.691 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.691 * [taylor]: Taking taylor expansion of (* re re) in im 0.691 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of (* im im) in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.692 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.692 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.692 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.692 * [taylor]: Taking taylor expansion of (* re re) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (* im im) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.694 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.694 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.694 * [taylor]: Taking taylor expansion of (* re re) in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of (* im im) in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.695 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of 1 in im 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.697 * [taylor]: Taking taylor expansion of 1/2 in im 0.697 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of 0 in im 0.701 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.701 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.701 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.705 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.705 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.708 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of 2 in im 0.712 * [taylor]: Taking taylor expansion of 0 in im 0.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.715 * [taylor]: Taking taylor expansion of 1/2 in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.715 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.722 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.722 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.722 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.722 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.722 * [taylor]: Taking taylor expansion of -1 in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.722 * [taylor]: Taking taylor expansion of -1 in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.722 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.722 * [taylor]: Taking taylor expansion of -1 in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.723 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.723 * [taylor]: Taking taylor expansion of -1 in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.726 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.726 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.726 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.726 * [taylor]: Taking taylor expansion of -1 in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.726 * [taylor]: Taking taylor expansion of -1 in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.727 * [taylor]: Taking taylor expansion of -1 in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.727 * [taylor]: Taking taylor expansion of -1 in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.730 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.730 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.730 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of 0 in im 0.735 * [taylor]: Taking taylor expansion of 0 in im 0.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.738 * [taylor]: Taking taylor expansion of 1/2 in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.745 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 0.748 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.748 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.748 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.748 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.748 * [taylor]: Taking taylor expansion of (* re re) in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [taylor]: Taking taylor expansion of (* im im) in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.750 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.750 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.750 * [taylor]: Taking taylor expansion of (* re re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (* im im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.751 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.751 * [taylor]: Taking taylor expansion of (* re re) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of (* im im) in re 0.751 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of im in im 0.753 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.754 * [taylor]: Taking taylor expansion of 1/2 in im 0.754 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of 0 in im 0.757 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.757 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.757 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.757 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.757 * [taylor]: Taking taylor expansion of re in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.757 * [taylor]: Taking taylor expansion of re in im 0.757 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.760 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.761 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.761 * [taylor]: Taking taylor expansion of im in re 0.761 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.761 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.764 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.764 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of 1 in im 0.767 * [taylor]: Taking taylor expansion of 0 in im 0.769 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.769 * [taylor]: Taking taylor expansion of 1/2 in im 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.770 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of 0 in im 0.774 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.774 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.775 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.778 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.778 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.778 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.778 * [taylor]: Taking taylor expansion of -1 in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.778 * [taylor]: Taking taylor expansion of -1 in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.779 * [taylor]: Taking taylor expansion of -1 in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.779 * [taylor]: Taking taylor expansion of -1 in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.781 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.782 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.782 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of im in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of 1 in im 0.785 * [taylor]: Taking taylor expansion of 0 in im 0.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.788 * [taylor]: Taking taylor expansion of 1/2 in im 0.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of 0 in im 0.793 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 0.793 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.793 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.793 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.793 * [taylor]: Taking taylor expansion of (* re re) in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (* im im) in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.794 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.794 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.794 * [taylor]: Taking taylor expansion of (* re re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (* im im) in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.796 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.796 * [taylor]: Taking taylor expansion of (* re re) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (* im im) in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.797 * [taylor]: Taking taylor expansion of im in im 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.798 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.798 * [taylor]: Taking taylor expansion of 1/2 in im 0.798 * [taylor]: Taking taylor expansion of im in im 0.801 * [taylor]: Taking taylor expansion of 0 in im 0.801 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.801 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.801 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.801 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.801 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.801 * [taylor]: Taking taylor expansion of re in im 0.801 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.801 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.805 * [taylor]: Taking taylor expansion of im in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.805 * [taylor]: Taking taylor expansion of im in re 0.808 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.808 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.808 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.811 * [taylor]: Taking taylor expansion of 1 in im 0.812 * [taylor]: Taking taylor expansion of 0 in im 0.814 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.814 * [taylor]: Taking taylor expansion of 1/2 in im 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.814 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.819 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.819 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.819 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.820 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.820 * [taylor]: Taking taylor expansion of -1 in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.823 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.826 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.826 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.826 * [taylor]: Taking taylor expansion of -1 in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.827 * [taylor]: Taking taylor expansion of -1 in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.827 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.827 * [taylor]: Taking taylor expansion of -1 in re 0.827 * [taylor]: Taking taylor expansion of im in re 0.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.827 * [taylor]: Taking taylor expansion of -1 in re 0.827 * [taylor]: Taking taylor expansion of im in re 0.830 * [taylor]: Taking taylor expansion of 1 in im 0.830 * [taylor]: Taking taylor expansion of 0 in im 0.835 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.835 * [taylor]: Taking taylor expansion of 1/2 in im 0.835 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of 0 in im 0.840 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 0.840 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.840 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.840 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.840 * [taylor]: Taking taylor expansion of (* re re) in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of (* im im) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.841 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.841 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.841 * [taylor]: Taking taylor expansion of (* re re) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [taylor]: Taking taylor expansion of (* im im) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.843 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.843 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.843 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.843 * [taylor]: Taking taylor expansion of (* re re) in re 0.843 * [taylor]: Taking taylor expansion of re in re 0.843 * [taylor]: Taking taylor expansion of re in re 0.843 * [taylor]: Taking taylor expansion of (* im im) in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of 0 in im 0.845 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.846 * [taylor]: Taking taylor expansion of 1/2 in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.848 * [taylor]: Taking taylor expansion of 0 in im 0.848 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.848 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.848 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.849 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.852 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.852 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.852 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.855 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.855 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.855 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.856 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.856 * [taylor]: Taking taylor expansion of im in re 0.856 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.856 * [taylor]: Taking taylor expansion of im in re 0.858 * [taylor]: Taking taylor expansion of 1 in im 0.858 * [taylor]: Taking taylor expansion of 0 in im 0.861 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.861 * [taylor]: Taking taylor expansion of 1/2 in im 0.861 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.861 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of 0 in im 0.866 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.866 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.866 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of re in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of re in im 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.870 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.870 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.870 * [taylor]: Taking taylor expansion of -1 in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.870 * [taylor]: Taking taylor expansion of -1 in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.870 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.870 * [taylor]: Taking taylor expansion of -1 in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.870 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.870 * [taylor]: Taking taylor expansion of -1 in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.873 * [taylor]: Taking taylor expansion of -1 in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.874 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.874 * [taylor]: Taking taylor expansion of -1 in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.874 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.874 * [taylor]: Taking taylor expansion of -1 in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.874 * [taylor]: Taking taylor expansion of -1 in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.877 * [taylor]: Taking taylor expansion of 1 in im 0.877 * [taylor]: Taking taylor expansion of 0 in im 0.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.879 * [taylor]: Taking taylor expansion of 1/2 in im 0.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.883 * [taylor]: Taking taylor expansion of 0 in im 0.884 * * * [progress]: simplifying candidates 0.886 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.890 * * [simplify]: iteration 0 : 172 enodes (cost 342 ) 0.894 * * [simplify]: iteration 1 : 600 enodes (cost 287 ) 0.909 * * [simplify]: iteration 2 : 3388 enodes (cost 275 ) 1.040 * * [simplify]: iteration 3 : 5001 enodes (cost 274 ) 1.042 * [simplify]: Simplified to: (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (fma (pow (hypot re im) 3) 1 (pow re 3)) (fma re re (* (hypot re im) (fma -1 re (hypot re im)))) (fma (* -1 re) re (* (hypot re im) (hypot re im))) (fma -1 re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.042 * * * [progress]: adding candidates to table 1.247 * * [progress]: iteration 4 / 4 1.247 * * * [progress]: picking best candidate 1.261 * * * * [pick]: Picked # 1.261 * * * [progress]: localizing error 1.270 * * * [progress]: generating rewritten candidates 1.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.270 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 1.270 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 1.271 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.272 * * * [progress]: generating series expansions 1.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.272 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 1.272 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 1.272 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.272 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.272 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.272 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.273 * [taylor]: Taking taylor expansion of (* re re) in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.273 * [taylor]: Taking taylor expansion of (* im im) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.274 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.274 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.274 * [taylor]: Taking taylor expansion of (* re re) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [taylor]: Taking taylor expansion of (* im im) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.275 * [taylor]: Taking taylor expansion of re in im 1.275 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 1.275 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.275 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.276 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.276 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.276 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.276 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.276 * [taylor]: Taking taylor expansion of (* re re) in re 1.276 * [taylor]: Taking taylor expansion of re in re 1.276 * [taylor]: Taking taylor expansion of re in re 1.276 * [taylor]: Taking taylor expansion of (* im im) in re 1.276 * [taylor]: Taking taylor expansion of im in re 1.276 * [taylor]: Taking taylor expansion of im in re 1.277 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.277 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.277 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.277 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.277 * [taylor]: Taking taylor expansion of (* re re) in re 1.277 * [taylor]: Taking taylor expansion of re in re 1.277 * [taylor]: Taking taylor expansion of re in re 1.277 * [taylor]: Taking taylor expansion of (* im im) in re 1.277 * [taylor]: Taking taylor expansion of im in re 1.277 * [taylor]: Taking taylor expansion of im in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 1.278 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.278 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.278 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.278 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.278 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.278 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.278 * [taylor]: Taking taylor expansion of (* re re) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (* im im) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.280 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.280 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.280 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.280 * [taylor]: Taking taylor expansion of (* re re) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of (* im im) in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of 1 in im 1.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.289 * [taylor]: Taking taylor expansion of 1/2 in im 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.289 * [taylor]: Taking taylor expansion of im in im 1.294 * [taylor]: Taking taylor expansion of 0 in im 1.295 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0 1.295 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 1.295 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.295 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.295 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.295 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.295 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.300 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.300 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.300 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.300 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.300 * [taylor]: Taking taylor expansion of im in im 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.304 * [taylor]: Taking taylor expansion of re in im 1.304 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 1.304 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.304 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.304 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.304 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.304 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.308 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.309 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.309 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.309 * [taylor]: Taking taylor expansion of re in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.309 * [taylor]: Taking taylor expansion of re in re 1.309 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.313 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 1.313 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.313 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.313 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.313 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.313 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.313 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.313 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.314 * [taylor]: Taking taylor expansion of re in re 1.314 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.318 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.322 * [taylor]: Taking taylor expansion of re in re 1.323 * [taylor]: Taking taylor expansion of 0 in im 1.323 * [taylor]: Taking taylor expansion of 1 in im 1.330 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.330 * [taylor]: Taking taylor expansion of +nan.0 in im 1.339 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.339 * [taylor]: Taking taylor expansion of +nan.0 in im 1.347 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.348 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.348 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.348 * [taylor]: Taking taylor expansion of +nan.0 in im 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.348 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.348 * [taylor]: Taking taylor expansion of +nan.0 in im 1.351 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0 1.351 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 1.351 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 1.351 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.351 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.351 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.351 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.351 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.351 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.351 * [taylor]: Taking taylor expansion of -1 in im 1.351 * [taylor]: Taking taylor expansion of re in im 1.351 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.351 * [taylor]: Taking taylor expansion of -1 in im 1.351 * [taylor]: Taking taylor expansion of re in im 1.351 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.351 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.351 * [taylor]: Taking taylor expansion of -1 in im 1.351 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.352 * [taylor]: Taking taylor expansion of -1 in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.356 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.356 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.360 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.360 * [taylor]: Taking taylor expansion of -1 in im 1.360 * [taylor]: Taking taylor expansion of re in im 1.360 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 1.360 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 1.360 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.360 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.361 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.361 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.361 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.365 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.365 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.365 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.365 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.365 * [taylor]: Taking taylor expansion of -1 in re 1.365 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.366 * [taylor]: Taking taylor expansion of -1 in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.366 * [taylor]: Taking taylor expansion of -1 in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.366 * [taylor]: Taking taylor expansion of -1 in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.372 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.372 * [taylor]: Taking taylor expansion of -1 in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.373 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 1.373 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 1.373 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.373 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.373 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.373 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.373 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.373 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.373 * [taylor]: Taking taylor expansion of -1 in re 1.373 * [taylor]: Taking taylor expansion of re in re 1.373 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.373 * [taylor]: Taking taylor expansion of -1 in re 1.373 * [taylor]: Taking taylor expansion of re in re 1.374 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.374 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.374 * [taylor]: Taking taylor expansion of -1 in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.374 * [taylor]: Taking taylor expansion of -1 in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.377 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.378 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.378 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.378 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.378 * [taylor]: Taking taylor expansion of -1 in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.378 * [taylor]: Taking taylor expansion of -1 in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.378 * [taylor]: Taking taylor expansion of -1 in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.378 * [taylor]: Taking taylor expansion of -1 in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.382 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.382 * [taylor]: Taking taylor expansion of -1 in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of 0 in im 1.383 * [taylor]: Taking taylor expansion of -1 in im 1.390 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.390 * [taylor]: Taking taylor expansion of +nan.0 in im 1.399 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.399 * [taylor]: Taking taylor expansion of +nan.0 in im 1.408 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.408 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.408 * [taylor]: Taking taylor expansion of +nan.0 in im 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.408 * [taylor]: Taking taylor expansion of im in im 1.408 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.408 * [taylor]: Taking taylor expansion of +nan.0 in im 1.411 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 1.411 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.411 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.411 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.411 * [taylor]: Taking taylor expansion of (* re re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (* im im) in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.412 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.412 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.412 * [taylor]: Taking taylor expansion of (* re re) in re 1.412 * [taylor]: Taking taylor expansion of re in re 1.412 * [taylor]: Taking taylor expansion of re in re 1.412 * [taylor]: Taking taylor expansion of (* im im) in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.414 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.414 * [taylor]: Taking taylor expansion of (* re re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* im im) in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.415 * [taylor]: Taking taylor expansion of im in im 1.415 * [taylor]: Taking taylor expansion of 0 in im 1.416 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.416 * [taylor]: Taking taylor expansion of 1/2 in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.418 * [taylor]: Taking taylor expansion of 0 in im 1.419 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.419 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.419 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.419 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.419 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.420 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.420 * [taylor]: Taking taylor expansion of im in im 1.422 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.423 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.423 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.423 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.423 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.423 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.423 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.423 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.423 * [taylor]: Taking taylor expansion of im in re 1.423 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.423 * [taylor]: Taking taylor expansion of im in re 1.426 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.426 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.426 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.426 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.427 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.427 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of 1 in im 1.429 * [taylor]: Taking taylor expansion of 0 in im 1.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.432 * [taylor]: Taking taylor expansion of 1/2 in im 1.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.437 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.437 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.437 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.437 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.437 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.437 * [taylor]: Taking taylor expansion of -1 in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.437 * [taylor]: Taking taylor expansion of -1 in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.437 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.437 * [taylor]: Taking taylor expansion of -1 in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.437 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.437 * [taylor]: Taking taylor expansion of -1 in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.440 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.440 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.440 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.440 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.440 * [taylor]: Taking taylor expansion of -1 in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.441 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.441 * [taylor]: Taking taylor expansion of -1 in re 1.441 * [taylor]: Taking taylor expansion of re in re 1.441 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.441 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.441 * [taylor]: Taking taylor expansion of -1 in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.441 * [taylor]: Taking taylor expansion of -1 in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.444 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.444 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.444 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.444 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.444 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.444 * [taylor]: Taking taylor expansion of -1 in re 1.444 * [taylor]: Taking taylor expansion of re in re 1.444 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.444 * [taylor]: Taking taylor expansion of -1 in re 1.444 * [taylor]: Taking taylor expansion of re in re 1.445 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.445 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.445 * [taylor]: Taking taylor expansion of -1 in re 1.445 * [taylor]: Taking taylor expansion of im in re 1.445 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.445 * [taylor]: Taking taylor expansion of -1 in re 1.445 * [taylor]: Taking taylor expansion of im in re 1.448 * [taylor]: Taking taylor expansion of 1 in im 1.448 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.450 * [taylor]: Taking taylor expansion of 1/2 in im 1.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.457 * [taylor]: Taking taylor expansion of 0 in im 1.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1.458 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.458 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.458 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.458 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.458 * [taylor]: Taking taylor expansion of (* re re) in im 1.458 * [taylor]: Taking taylor expansion of re in im 1.458 * [taylor]: Taking taylor expansion of re in im 1.458 * [taylor]: Taking taylor expansion of (* im im) in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.460 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.460 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.460 * [taylor]: Taking taylor expansion of (* re re) in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [taylor]: Taking taylor expansion of (* im im) in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.461 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.461 * [taylor]: Taking taylor expansion of (* re re) in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (* im im) in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of im in im 1.462 * [taylor]: Taking taylor expansion of 0 in im 1.464 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.464 * [taylor]: Taking taylor expansion of 1/2 in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.466 * [taylor]: Taking taylor expansion of 0 in im 1.466 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.467 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.467 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.467 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.467 * [taylor]: Taking taylor expansion of re in im 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.467 * [taylor]: Taking taylor expansion of re in im 1.467 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.467 * [taylor]: Taking taylor expansion of im in im 1.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.467 * [taylor]: Taking taylor expansion of im in im 1.470 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.470 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.470 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.471 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.473 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.473 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.473 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.473 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.473 * [taylor]: Taking taylor expansion of re in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.474 * [taylor]: Taking taylor expansion of re in re 1.474 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.477 * [taylor]: Taking taylor expansion of 1 in im 1.477 * [taylor]: Taking taylor expansion of 0 in im 1.479 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.479 * [taylor]: Taking taylor expansion of 1/2 in im 1.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.479 * [taylor]: Taking taylor expansion of im in im 1.483 * [taylor]: Taking taylor expansion of 0 in im 1.484 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.484 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.484 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.484 * [taylor]: Taking taylor expansion of -1 in im 1.484 * [taylor]: Taking taylor expansion of re in im 1.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.484 * [taylor]: Taking taylor expansion of -1 in im 1.484 * [taylor]: Taking taylor expansion of re in im 1.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.484 * [taylor]: Taking taylor expansion of -1 in im 1.484 * [taylor]: Taking taylor expansion of im in im 1.485 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.485 * [taylor]: Taking taylor expansion of -1 in im 1.485 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.488 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.488 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.488 * [taylor]: Taking taylor expansion of -1 in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.488 * [taylor]: Taking taylor expansion of -1 in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.488 * [taylor]: Taking taylor expansion of -1 in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.489 * [taylor]: Taking taylor expansion of -1 in re 1.489 * [taylor]: Taking taylor expansion of im in re 1.491 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.491 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.491 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.491 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.491 * [taylor]: Taking taylor expansion of -1 in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.492 * [taylor]: Taking taylor expansion of -1 in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.492 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.492 * [taylor]: Taking taylor expansion of -1 in re 1.492 * [taylor]: Taking taylor expansion of im in re 1.492 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.492 * [taylor]: Taking taylor expansion of -1 in re 1.492 * [taylor]: Taking taylor expansion of im in re 1.495 * [taylor]: Taking taylor expansion of 1 in im 1.495 * [taylor]: Taking taylor expansion of 0 in im 1.498 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.498 * [taylor]: Taking taylor expansion of 1/2 in im 1.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.501 * [taylor]: Taking taylor expansion of 0 in im 1.503 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.503 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.503 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.503 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.503 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.503 * [taylor]: Taking taylor expansion of (* re re) in im 1.503 * [taylor]: Taking taylor expansion of re in im 1.503 * [taylor]: Taking taylor expansion of re in im 1.503 * [taylor]: Taking taylor expansion of (* im im) in im 1.503 * [taylor]: Taking taylor expansion of im in im 1.503 * [taylor]: Taking taylor expansion of im in im 1.504 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.504 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.504 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.504 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.504 * [taylor]: Taking taylor expansion of (* re re) in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.504 * [taylor]: Taking taylor expansion of (* im im) in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.505 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.505 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.506 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.506 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.506 * [taylor]: Taking taylor expansion of (* re re) in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.506 * [taylor]: Taking taylor expansion of (* im im) in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.507 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.507 * [taylor]: Taking taylor expansion of im in im 1.508 * [taylor]: Taking taylor expansion of 0 in im 1.510 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.510 * [taylor]: Taking taylor expansion of 1/4 in im 1.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.510 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.518 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.518 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.518 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.518 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.519 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.519 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.523 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.523 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.523 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.523 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.523 * [taylor]: Taking taylor expansion of re in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.523 * [taylor]: Taking taylor expansion of re in re 1.524 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.527 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.527 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.528 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.528 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.528 * [taylor]: Taking taylor expansion of re in re 1.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.528 * [taylor]: Taking taylor expansion of re in re 1.528 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.528 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.528 * [taylor]: Taking taylor expansion of im in re 1.528 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.528 * [taylor]: Taking taylor expansion of im in re 1.532 * [taylor]: Taking taylor expansion of 0 in im 1.532 * [taylor]: Taking taylor expansion of +nan.0 in im 1.534 * [taylor]: Taking taylor expansion of +nan.0 in im 1.540 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.540 * [taylor]: Taking taylor expansion of +nan.0 in im 1.540 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.540 * [taylor]: Taking taylor expansion of 1/2 in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.541 * [taylor]: Taking taylor expansion of +nan.0 in im 1.546 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.547 * [taylor]: Taking taylor expansion of +nan.0 in im 1.547 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.547 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.547 * [taylor]: Taking taylor expansion of +nan.0 in im 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.547 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.547 * [taylor]: Taking taylor expansion of +nan.0 in im 1.554 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.554 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.554 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.554 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.554 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.554 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.554 * [taylor]: Taking taylor expansion of -1 in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.554 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.554 * [taylor]: Taking taylor expansion of -1 in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.554 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.554 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.554 * [taylor]: Taking taylor expansion of -1 in im 1.554 * [taylor]: Taking taylor expansion of im in im 1.555 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.555 * [taylor]: Taking taylor expansion of -1 in im 1.555 * [taylor]: Taking taylor expansion of im in im 1.559 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.559 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.559 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.559 * [taylor]: Taking taylor expansion of -1 in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.559 * [taylor]: Taking taylor expansion of -1 in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.559 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.559 * [taylor]: Taking taylor expansion of -1 in re 1.559 * [taylor]: Taking taylor expansion of im in re 1.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.560 * [taylor]: Taking taylor expansion of -1 in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.563 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.563 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.563 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.563 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.563 * [taylor]: Taking taylor expansion of -1 in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.564 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.564 * [taylor]: Taking taylor expansion of -1 in re 1.564 * [taylor]: Taking taylor expansion of re in re 1.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.564 * [taylor]: Taking taylor expansion of -1 in re 1.564 * [taylor]: Taking taylor expansion of im in re 1.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.564 * [taylor]: Taking taylor expansion of -1 in re 1.564 * [taylor]: Taking taylor expansion of im in re 1.568 * [taylor]: Taking taylor expansion of 0 in im 1.568 * [taylor]: Taking taylor expansion of +nan.0 in im 1.570 * [taylor]: Taking taylor expansion of +nan.0 in im 1.573 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.573 * [taylor]: Taking taylor expansion of +nan.0 in im 1.573 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.574 * [taylor]: Taking taylor expansion of 1/2 in im 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.574 * [taylor]: Taking taylor expansion of im in im 1.574 * [taylor]: Taking taylor expansion of +nan.0 in im 1.580 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.580 * [taylor]: Taking taylor expansion of +nan.0 in im 1.580 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.580 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.580 * [taylor]: Taking taylor expansion of +nan.0 in im 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.580 * [taylor]: Taking taylor expansion of im in im 1.580 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.580 * [taylor]: Taking taylor expansion of +nan.0 in im 1.587 * * * [progress]: simplifying candidates 1.588 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (+ re im) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.591 * * [simplify]: iteration 0 : 128 enodes (cost 219 ) 1.594 * * [simplify]: iteration 1 : 344 enodes (cost 188 ) 1.600 * * [simplify]: iteration 2 : 1419 enodes (cost 179 ) 1.631 * * [simplify]: iteration 3 : 5002 enodes (cost 174 ) 1.632 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (pow (+ re (hypot re im)) 3) (hypot (sqrt (hypot re im)) (pow re 1/2)) (hypot (sqrt (hypot re im)) (pow re 1/2)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) 1/2 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (+ re im) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) im re (* -1 re) im re (* -1 re) (* +nan.0 (- (- im (pow im 2)) (pow re 2))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 1.632 * * * [progress]: adding candidates to table 1.807 * [progress]: [Phase 3 of 3] Extracting. 1.807 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.808 * * * [regime-changes]: Trying 2 branch expressions: (im re) 1.809 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 1.855 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 1.898 * * * [regime]: Found split indices: #