2.993 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.042 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.043 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.044 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.046 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.047 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.047 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.078 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.078 * [taylor]: Taking taylor expansion of re in im 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.082 * [taylor]: Taking taylor expansion of 1/2 in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of 1 in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of 1/2 in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.100 * [taylor]: Taking taylor expansion of re in im 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.102 * [taylor]: Taking taylor expansion of im in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of 1 in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.114 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.114 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of -1 in im 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.119 * [taylor]: Taking taylor expansion of 1/2 in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.135 * [taylor]: Taking taylor expansion of 1/2 in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of 2 in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.163 * * * [progress]: simplifying candidates 0.164 * [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)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- 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))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (- im re) 0 (* -2 re) 0.169 * * [simplify]: iteration 0 : 211 enodes (cost 590 ) 0.173 * * [simplify]: iteration 1 : 687 enodes (cost 366 ) 0.190 * * [simplify]: iteration 2 : 3279 enodes (cost 321 ) 0.269 * * [simplify]: iteration 3 : 5001 enodes (cost 295 ) 0.272 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re 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)))) 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)))) (fma (- (sqrt re)) (sqrt re) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 3)) 0 (fma (- (sqrt re)) (sqrt re) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 3)) 0 (fma (- (sqrt re)) (sqrt re) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 3)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fma -1 (pow re 3) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (fma im im 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 0.272 * * * [progress]: adding candidates to table 0.396 * * [progress]: iteration 2 / 4 0.396 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.413 * * * [progress]: generating rewritten candidates 0.413 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.418 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 1) 0.420 * * * [progress]: generating series expansions 0.420 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.420 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.420 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.420 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.420 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.420 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.420 * [taylor]: Taking taylor expansion of (* re re) in im 0.420 * [taylor]: Taking taylor expansion of re in im 0.420 * [taylor]: Taking taylor expansion of re in im 0.420 * [taylor]: Taking taylor expansion of (* im im) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.422 * [taylor]: Taking taylor expansion of re in im 0.422 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.422 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.422 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.422 * [taylor]: Taking taylor expansion of (* re re) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [taylor]: Taking taylor expansion of (* im im) in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.423 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.423 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.423 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.423 * [taylor]: Taking taylor expansion of (* re re) in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of (* im im) in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.424 * [taylor]: Taking taylor expansion of re in re 0.425 * [taylor]: Taking taylor expansion of im in im 0.425 * [taylor]: Taking taylor expansion of -1 in im 0.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.427 * [taylor]: Taking taylor expansion of 1/2 in im 0.427 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.430 * [taylor]: Taking taylor expansion of 0 in im 0.431 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.431 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.431 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.431 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.431 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.431 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.431 * [taylor]: Taking taylor expansion of re in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.431 * [taylor]: Taking taylor expansion of re in im 0.431 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.432 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.432 * [taylor]: Taking taylor expansion of im in im 0.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.434 * [taylor]: Taking taylor expansion of re in im 0.434 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.435 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.435 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.435 * [taylor]: Taking taylor expansion of re in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.435 * [taylor]: Taking taylor expansion of re in re 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.435 * [taylor]: Taking taylor expansion of im in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.435 * [taylor]: Taking taylor expansion of im in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.438 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.438 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.438 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.438 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.439 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.439 * [taylor]: Taking taylor expansion of im in re 0.439 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.439 * [taylor]: Taking taylor expansion of im in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.442 * [taylor]: Taking taylor expansion of 0 in im 0.443 * [taylor]: Taking taylor expansion of 0 in im 0.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.447 * [taylor]: Taking taylor expansion of 1/2 in im 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.447 * [taylor]: Taking taylor expansion of im in im 0.451 * [taylor]: Taking taylor expansion of 0 in im 0.453 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.453 * [taylor]: Taking taylor expansion of re in im 0.453 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.453 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.453 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.453 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.453 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.453 * [taylor]: Taking taylor expansion of -1 in im 0.453 * [taylor]: Taking taylor expansion of re in im 0.453 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.453 * [taylor]: Taking taylor expansion of -1 in im 0.453 * [taylor]: Taking taylor expansion of re in im 0.453 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.453 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.453 * [taylor]: Taking taylor expansion of -1 in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.454 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.454 * [taylor]: Taking taylor expansion of -1 in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.458 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.458 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.458 * [taylor]: Taking taylor expansion of -1 in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.458 * [taylor]: Taking taylor expansion of -1 in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.458 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.458 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.458 * [taylor]: Taking taylor expansion of -1 in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.458 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.458 * [taylor]: Taking taylor expansion of -1 in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 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 (hypot (/ -1 re) (/ -1 im)) in re 0.464 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.465 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.465 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.465 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.465 * [taylor]: Taking taylor expansion of -1 in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.465 * [taylor]: Taking taylor expansion of -1 in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.465 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.465 * [taylor]: Taking taylor expansion of -1 in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.465 * [taylor]: Taking taylor expansion of -1 in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.468 * [taylor]: Taking taylor expansion of 2 in im 0.469 * [taylor]: Taking taylor expansion of 0 in im 0.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.472 * [taylor]: Taking taylor expansion of 1/2 in im 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.479 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 1) 0.479 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.479 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.479 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.479 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.479 * [taylor]: Taking taylor expansion of (* re re) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [taylor]: Taking taylor expansion of (* im im) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.480 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.480 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.481 * [taylor]: Taking taylor expansion of (* re re) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (* im im) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.482 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.482 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.482 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.482 * [taylor]: Taking taylor expansion of (* re re) in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [taylor]: Taking taylor expansion of (* im im) in re 0.482 * [taylor]: Taking taylor expansion of im in re 0.482 * [taylor]: Taking taylor expansion of im in re 0.483 * [taylor]: Taking taylor expansion of im in im 0.483 * [taylor]: Taking taylor expansion of 0 in im 0.484 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.485 * [taylor]: Taking taylor expansion of 1/2 in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.487 * [taylor]: Taking taylor expansion of 0 in im 0.487 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.487 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.487 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.487 * [taylor]: Taking taylor expansion of re in im 0.488 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.488 * [taylor]: Taking taylor expansion of re in im 0.488 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.491 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.491 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.494 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.494 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.495 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.495 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.497 * [taylor]: Taking taylor expansion of 1 in im 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.500 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.500 * [taylor]: Taking taylor expansion of 1/2 in im 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.503 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.505 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.505 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.505 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.505 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.505 * [taylor]: Taking taylor expansion of -1 in im 0.505 * [taylor]: Taking taylor expansion of re in im 0.505 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.505 * [taylor]: Taking taylor expansion of -1 in im 0.505 * [taylor]: Taking taylor expansion of re in im 0.505 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.505 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.505 * [taylor]: Taking taylor expansion of -1 in im 0.505 * [taylor]: Taking taylor expansion of im in im 0.505 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.505 * [taylor]: Taking taylor expansion of -1 in im 0.505 * [taylor]: Taking taylor expansion of im in im 0.508 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.508 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.508 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.508 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.508 * [taylor]: Taking taylor expansion of -1 in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.509 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.509 * [taylor]: Taking taylor expansion of -1 in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.509 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.509 * [taylor]: Taking taylor expansion of -1 in re 0.509 * [taylor]: Taking taylor expansion of im in re 0.509 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.509 * [taylor]: Taking taylor expansion of -1 in re 0.509 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.512 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.512 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.515 * [taylor]: Taking taylor expansion of 1 in im 0.515 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.518 * [taylor]: Taking taylor expansion of 1/2 in im 0.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.522 * [taylor]: Taking taylor expansion of 0 in im 0.523 * * * [progress]: simplifying candidates 0.524 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- 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)) (- im re) 0 (* -2 re) im re (* -1 re) 0.527 * * [simplify]: iteration 0 : 130 enodes (cost 223 ) 0.530 * * [simplify]: iteration 1 : 366 enodes (cost 140 ) 0.539 * * [simplify]: iteration 2 : 1695 enodes (cost 131 ) 0.574 * * [simplify]: iteration 3 : 5001 enodes (cost 109 ) 0.575 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 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)) (* -1 re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (* -1 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)) (- im re) 0 (* -2 re) im re (* -1 re) 0.576 * * * [progress]: adding candidates to table 0.651 * * [progress]: iteration 3 / 4 0.651 * * * [progress]: picking best candidate 0.668 * * * * [pick]: Picked # 0.668 * * * [progress]: localizing error 0.678 * * * [progress]: generating rewritten candidates 0.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.682 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 0.686 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.706 * * * [progress]: generating series expansions 0.706 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.706 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.706 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.706 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.706 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.706 * [taylor]: Taking taylor expansion of (* re re) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.707 * [taylor]: Taking taylor expansion of re in im 0.707 * [taylor]: Taking taylor expansion of (* im im) in im 0.707 * [taylor]: Taking taylor expansion of im in im 0.707 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.708 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.708 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.708 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.708 * [taylor]: Taking taylor expansion of (* re re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (* im im) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.709 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.709 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.710 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.710 * [taylor]: Taking taylor expansion of (* re re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (* im im) in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.711 * [taylor]: Taking taylor expansion of re in re 0.711 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of -1 in im 0.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.713 * [taylor]: Taking taylor expansion of 1/2 in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of 0 in im 0.717 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.717 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.717 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.721 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.721 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.726 * [taylor]: Taking taylor expansion of im in re 0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.726 * [taylor]: Taking taylor expansion of im in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.728 * [taylor]: Taking taylor expansion of re in re 0.729 * [taylor]: Taking taylor expansion of 0 in im 0.730 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.736 * [taylor]: Taking taylor expansion of 1/2 in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.744 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.744 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.744 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.744 * [taylor]: Taking taylor expansion of -1 in im 0.744 * [taylor]: Taking taylor expansion of re in im 0.744 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.744 * [taylor]: Taking taylor expansion of -1 in im 0.744 * [taylor]: Taking taylor expansion of re in im 0.744 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.744 * [taylor]: Taking taylor expansion of -1 in im 0.744 * [taylor]: Taking taylor expansion of im in im 0.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.744 * [taylor]: Taking taylor expansion of -1 in im 0.744 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.747 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.747 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.747 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.747 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.751 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.751 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.751 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.751 * [taylor]: Taking taylor expansion of -1 in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of 2 in im 0.756 * [taylor]: Taking taylor expansion of 0 in im 0.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.759 * [taylor]: Taking taylor expansion of 1/2 in im 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.759 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of 0 in im 0.765 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 0.765 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.765 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.765 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.765 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.765 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.765 * [taylor]: Taking taylor expansion of (* re re) in im 0.765 * [taylor]: Taking taylor expansion of re in im 0.765 * [taylor]: Taking taylor expansion of re in im 0.765 * [taylor]: Taking taylor expansion of (* im im) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.766 * [taylor]: Taking taylor expansion of im in im 0.767 * [taylor]: Taking taylor expansion of re in im 0.767 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.767 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.767 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.767 * [taylor]: Taking taylor expansion of (* re re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (* im im) in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.768 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.768 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.768 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.768 * [taylor]: Taking taylor expansion of (* re re) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (* im im) in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.769 * [taylor]: Taking taylor expansion of re in re 0.770 * [taylor]: Taking taylor expansion of im in im 0.770 * [taylor]: Taking taylor expansion of -1 in im 0.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.772 * [taylor]: Taking taylor expansion of 1/2 in im 0.772 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.775 * [taylor]: Taking taylor expansion of 0 in im 0.776 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.776 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.776 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.776 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.776 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.780 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.780 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.780 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.780 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.780 * [taylor]: Taking taylor expansion of im in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.780 * [taylor]: Taking taylor expansion of im in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.783 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.783 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.784 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.787 * [taylor]: Taking taylor expansion of 0 in im 0.788 * [taylor]: Taking taylor expansion of 0 in im 0.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.791 * [taylor]: Taking taylor expansion of 1/2 in im 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.796 * [taylor]: Taking taylor expansion of 0 in im 0.798 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.798 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.798 * [taylor]: Taking taylor expansion of re in im 0.798 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.798 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.798 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.798 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.798 * [taylor]: Taking taylor expansion of -1 in im 0.798 * [taylor]: Taking taylor expansion of re in im 0.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.798 * [taylor]: Taking taylor expansion of -1 in im 0.798 * [taylor]: Taking taylor expansion of re in im 0.798 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.798 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.798 * [taylor]: Taking taylor expansion of -1 in im 0.798 * [taylor]: Taking taylor expansion of im in im 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.799 * [taylor]: Taking taylor expansion of -1 in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.802 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.802 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.802 * [taylor]: Taking taylor expansion of -1 in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.806 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.806 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.806 * [taylor]: Taking taylor expansion of -1 in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.807 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.807 * [taylor]: Taking taylor expansion of -1 in re 0.807 * [taylor]: Taking taylor expansion of re in re 0.807 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.807 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.807 * [taylor]: Taking taylor expansion of -1 in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.807 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.807 * [taylor]: Taking taylor expansion of -1 in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of 2 in im 0.811 * [taylor]: Taking taylor expansion of 0 in im 0.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.814 * [taylor]: Taking taylor expansion of 1/2 in im 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.821 * [taylor]: Taking taylor expansion of 0 in im 0.823 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.823 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.823 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.823 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.823 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.823 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.823 * [taylor]: Taking taylor expansion of (* re re) in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.823 * [taylor]: Taking taylor expansion of (* im im) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.824 * [taylor]: Taking taylor expansion of re in im 0.824 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.824 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.824 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.825 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.825 * [taylor]: Taking taylor expansion of (* re re) in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of (* im im) in re 0.825 * [taylor]: Taking taylor expansion of im in re 0.825 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.826 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.826 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.826 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.826 * [taylor]: Taking taylor expansion of (* re re) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of (* im im) in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.828 * [taylor]: Taking taylor expansion of im in im 0.828 * [taylor]: Taking taylor expansion of -1 in im 0.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.830 * [taylor]: Taking taylor expansion of 1/2 in im 0.830 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.833 * [taylor]: Taking taylor expansion of 0 in im 0.834 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.834 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.834 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.834 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.834 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.834 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.834 * [taylor]: Taking taylor expansion of re in im 0.834 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.834 * [taylor]: Taking taylor expansion of re in im 0.834 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.834 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.834 * [taylor]: Taking taylor expansion of im in im 0.835 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.837 * [taylor]: Taking taylor expansion of re in im 0.837 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.837 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.838 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.838 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.838 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.838 * [taylor]: Taking taylor expansion of re in re 0.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.838 * [taylor]: Taking taylor expansion of re in re 0.838 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.838 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.838 * [taylor]: Taking taylor expansion of im in re 0.838 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.838 * [taylor]: Taking taylor expansion of im in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.841 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.841 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.841 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.842 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.842 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.844 * [taylor]: Taking taylor expansion of re in re 0.845 * [taylor]: Taking taylor expansion of 0 in im 0.846 * [taylor]: Taking taylor expansion of 0 in im 0.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.849 * [taylor]: Taking taylor expansion of 1/2 in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of 0 in im 0.856 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.856 * [taylor]: Taking taylor expansion of re in im 0.856 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.856 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.856 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.856 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.856 * [taylor]: Taking taylor expansion of -1 in im 0.856 * [taylor]: Taking taylor expansion of re in im 0.856 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.856 * [taylor]: Taking taylor expansion of -1 in im 0.856 * [taylor]: Taking taylor expansion of re in im 0.857 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.857 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.857 * [taylor]: Taking taylor expansion of -1 in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.857 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.857 * [taylor]: Taking taylor expansion of -1 in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.860 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.860 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.860 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.860 * [taylor]: Taking taylor expansion of -1 in re 0.860 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.864 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.864 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.864 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.864 * [taylor]: Taking taylor expansion of -1 in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.864 * [taylor]: Taking taylor expansion of -1 in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.865 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.865 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.865 * [taylor]: Taking taylor expansion of -1 in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.865 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.865 * [taylor]: Taking taylor expansion of -1 in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of 2 in im 0.868 * [taylor]: Taking taylor expansion of 0 in im 0.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.871 * [taylor]: Taking taylor expansion of 1/2 in im 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of 0 in im 0.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.878 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 0.878 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.878 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.878 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.878 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.878 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.878 * [taylor]: Taking taylor expansion of (* re re) in im 0.878 * [taylor]: Taking taylor expansion of re in im 0.878 * [taylor]: Taking taylor expansion of re in im 0.878 * [taylor]: Taking taylor expansion of (* im im) in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.880 * [taylor]: Taking taylor expansion of re in im 0.884 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.884 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.884 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.884 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.884 * [taylor]: Taking taylor expansion of (* re re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (* im im) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.886 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.886 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.886 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.886 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.886 * [taylor]: Taking taylor expansion of (* re re) in re 0.886 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of (* im im) in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.888 * [taylor]: Taking taylor expansion of re in re 0.888 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 0.890 * [taylor]: Taking taylor expansion of -1/2 in im 0.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.898 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.898 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.898 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.898 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.898 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.898 * [taylor]: Taking taylor expansion of re in im 0.898 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.898 * [taylor]: Taking taylor expansion of re in im 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.898 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.898 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.901 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.901 * [taylor]: Taking taylor expansion of re in im 0.902 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.902 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.902 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.903 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.909 * [taylor]: Taking taylor expansion of re in re 0.914 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.914 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.914 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.914 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.914 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.915 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.915 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.915 * [taylor]: Taking taylor expansion of im in re 0.915 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.915 * [taylor]: Taking taylor expansion of im in re 0.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.918 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of 0 in im 0.923 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 0.923 * [taylor]: Taking taylor expansion of +nan.0 in im 0.923 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 0.929 * [taylor]: Taking taylor expansion of +nan.0 in im 0.929 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.939 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 0.940 * [taylor]: Taking taylor expansion of +nan.0 in im 0.940 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 0.940 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 0.940 * [taylor]: Taking taylor expansion of 1/8 in im 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.940 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.940 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 0.940 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 0.940 * [taylor]: Taking taylor expansion of +nan.0 in im 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 0.940 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.964 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.964 * [taylor]: Taking taylor expansion of re in im 0.964 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.965 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.965 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.965 * [taylor]: Taking taylor expansion of -1 in im 0.965 * [taylor]: Taking taylor expansion of re in im 0.965 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.965 * [taylor]: Taking taylor expansion of -1 in im 0.965 * [taylor]: Taking taylor expansion of re in im 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.965 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.965 * [taylor]: Taking taylor expansion of -1 in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.965 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.965 * [taylor]: Taking taylor expansion of -1 in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.969 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.969 * [taylor]: Taking taylor expansion of re in re 0.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.970 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.970 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.970 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.970 * [taylor]: Taking taylor expansion of -1 in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.970 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.970 * [taylor]: Taking taylor expansion of -1 in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.971 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.971 * [taylor]: Taking taylor expansion of -1 in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.971 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.971 * [taylor]: Taking taylor expansion of -1 in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.975 * [taylor]: Taking taylor expansion of re in re 0.975 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.975 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.975 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.975 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.975 * [taylor]: Taking taylor expansion of -1 in re 0.975 * [taylor]: Taking taylor expansion of re in re 0.975 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.976 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of im in re 0.976 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of 0 in im 0.980 * [taylor]: Taking taylor expansion of +nan.0 in im 0.982 * [taylor]: Taking taylor expansion of +nan.0 in im 0.990 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 0.990 * [taylor]: Taking taylor expansion of +nan.0 in im 0.990 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 0.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.990 * [taylor]: Taking taylor expansion of 1/2 in im 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.990 * [taylor]: Taking taylor expansion of im in im 0.990 * [taylor]: Taking taylor expansion of +nan.0 in im 0.997 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.997 * [taylor]: Taking taylor expansion of +nan.0 in im 0.997 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.997 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.997 * [taylor]: Taking taylor expansion of +nan.0 in im 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.997 * [taylor]: Taking taylor expansion of +nan.0 in im 1.004 * * * [progress]: simplifying candidates 1.006 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (hypot re im) re) (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (- (hypot re im) re) (- (hypot re im) re)) (+ 1 1) (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (- (hypot re im) re) (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 1 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) 1) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) 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(- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.013 * * [simplify]: iteration 0 : 286 enodes (cost 899 ) 1.019 * * [simplify]: iteration 1 : 1123 enodes (cost 706 ) 1.050 * * [simplify]: iteration 2 : 5001 enodes (cost 691 ) 1.055 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) 1 1 2 1 1 (pow (sqrt (- (hypot re im) re)) 4) (- (hypot re im) re) (pow (sqrt (- (hypot re im) re)) 4) 2 (log (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (pow (sqrt (- (hypot re im) re)) 4) (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) (fma re re (* (hypot re im) re))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) 1 (- (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) 1 (- (hypot re im) re) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 2 1 (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (sqrt (- (hypot re im) re)) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (sqrt (- (hypot re im) re)) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (- (hypot re im) re) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (- (hypot re im) re) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (pow (sqrt (- (hypot re im) re)) 3) (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) 1 (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) 1 (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (hypot (hypot re im) (* (sqrt re) (sqrt (+ (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) 1/2 (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (fma (- im) +nan.0 (* +nan.0 (- (* re im) (pow im 2)))) 0 (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 1.056 * * * [progress]: adding candidates to table 1.329 * * [progress]: iteration 4 / 4 1.329 * * * [progress]: picking best candidate 1.345 * * * * [pick]: Picked # 1.345 * * * [progress]: localizing error 1.365 * * * [progress]: generating rewritten candidates 1.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2) 1.367 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1 2) 1.368 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1 1) 1.371 * * * [progress]: generating series expansions 1.371 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.371 * [approximate]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in (re im) around 0 1.371 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in im 1.371 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) (- re)) 1.371 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in im 1.371 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im 1.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im 1.371 * [taylor]: Taking taylor expansion of 1/3 in im 1.371 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im 1.371 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im 1.371 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.371 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.371 * [taylor]: Taking taylor expansion of (* re re) in im 1.371 * [taylor]: Taking taylor expansion of re in im 1.371 * [taylor]: Taking taylor expansion of re in im 1.371 * [taylor]: Taking taylor expansion of (* im im) in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.373 * [taylor]: Taking taylor expansion of 1/3 in im 1.373 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.373 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.373 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.373 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.373 * [taylor]: Taking taylor expansion of (* re re) in im 1.373 * [taylor]: Taking taylor expansion of re in im 1.373 * [taylor]: Taking taylor expansion of re in im 1.373 * [taylor]: Taking taylor expansion of (* im im) in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (- re) in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in re 1.375 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) (- re)) 1.375 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in re 1.375 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 1.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 1.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 1.375 * [taylor]: Taking taylor expansion of 1/3 in re 1.375 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 1.375 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 1.375 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.375 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.375 * [taylor]: Taking taylor expansion of (* re re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (* im im) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.376 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.377 * [taylor]: Taking taylor expansion of 1/3 in re 1.377 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.377 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.377 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.377 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.377 * [taylor]: Taking taylor expansion of (* re re) in re 1.377 * [taylor]: Taking taylor expansion of re in re 1.377 * [taylor]: Taking taylor expansion of re in re 1.377 * [taylor]: Taking taylor expansion of (* im im) in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of (- re) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in re 1.378 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) (- re)) 1.378 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in re 1.378 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 1.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 1.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 1.378 * [taylor]: Taking taylor expansion of 1/3 in re 1.378 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 1.378 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 1.378 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.378 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.378 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.378 * [taylor]: Taking taylor expansion of (* re re) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (* im im) in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.380 * [taylor]: Taking taylor expansion of 1/3 in re 1.380 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.380 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.380 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.380 * [taylor]: Taking taylor expansion of (* re re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (* im im) in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (- re) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of im in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.395 * [taylor]: Taking taylor expansion of 1/2 in im 1.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.395 * [taylor]: Taking taylor expansion of im in im 1.407 * [taylor]: Taking taylor expansion of 0 in im 1.408 * [approximate]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in (re im) around 0 1.408 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in im 1.409 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (- (/ 1 re))) 1.409 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 1.409 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im 1.409 * [taylor]: Taking taylor expansion of 1/3 in im 1.409 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im 1.409 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im 1.409 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.409 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.409 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.409 * [taylor]: Taking taylor expansion of re in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.409 * [taylor]: Taking taylor expansion of re in im 1.409 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.413 * [taylor]: Taking taylor expansion of 1/3 in im 1.413 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.413 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.413 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.413 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.413 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.414 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.417 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.417 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.417 * [taylor]: Taking taylor expansion of re in im 1.417 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in re 1.417 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (- (/ 1 re))) 1.417 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 1.417 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 1.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 1.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 1.417 * [taylor]: Taking taylor expansion of 1/3 in re 1.417 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 1.417 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 1.417 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.418 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.418 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.418 * [taylor]: Taking taylor expansion of re in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.418 * [taylor]: Taking taylor expansion of re in re 1.418 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.418 * [taylor]: Taking taylor expansion of im in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.418 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.422 * [taylor]: Taking taylor expansion of 1/3 in re 1.422 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.422 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.422 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.422 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [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 (- (/ 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 (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in re 1.426 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (- (/ 1 re))) 1.426 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 1.426 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 1.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 1.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 1.426 * [taylor]: Taking taylor expansion of 1/3 in re 1.426 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 1.426 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) 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 1.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.427 * [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 1.430 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.430 * [taylor]: Taking taylor expansion of 1/3 in re 1.430 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.430 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.430 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.430 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.430 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.430 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.431 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.434 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.435 * [taylor]: Taking taylor expansion of -1 in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.436 * [taylor]: Taking taylor expansion of re in im 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 1.457 * [taylor]: Taking taylor expansion of 1/2 in im 1.457 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 1.457 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 1.457 * [taylor]: Taking taylor expansion of re in im 1.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.457 * [taylor]: Taking taylor expansion of im in im 1.460 * [approximate]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in (re im) around 0 1.460 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in im 1.460 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ 1 re)) 1.460 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 1.460 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im 1.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im 1.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im 1.460 * [taylor]: Taking taylor expansion of 1/3 in im 1.460 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im 1.460 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im 1.460 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.460 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.460 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.460 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.460 * [taylor]: Taking taylor expansion of -1 in im 1.460 * [taylor]: Taking taylor expansion of re in im 1.460 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.460 * [taylor]: Taking taylor expansion of -1 in im 1.460 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.461 * [taylor]: Taking taylor expansion of -1 in im 1.461 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.461 * [taylor]: Taking taylor expansion of -1 in im 1.461 * [taylor]: Taking taylor expansion of im in im 1.465 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.465 * [taylor]: Taking taylor expansion of 1/3 in im 1.465 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.465 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.465 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.465 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.465 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.465 * [taylor]: Taking taylor expansion of -1 in im 1.465 * [taylor]: Taking taylor expansion of re in im 1.465 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.465 * [taylor]: Taking taylor expansion of -1 in im 1.465 * [taylor]: Taking taylor expansion of re in im 1.465 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.465 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.465 * [taylor]: Taking taylor expansion of -1 in im 1.465 * [taylor]: Taking taylor expansion of im in im 1.465 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.465 * [taylor]: Taking taylor expansion of -1 in im 1.465 * [taylor]: Taking taylor expansion of im in im 1.469 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.469 * [taylor]: Taking taylor expansion of re in im 1.469 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in re 1.469 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ 1 re)) 1.469 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 1.469 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 1.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 1.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 1.469 * [taylor]: Taking taylor expansion of 1/3 in re 1.469 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 1.469 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 1.469 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.469 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.469 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.469 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.469 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.469 * [taylor]: Taking taylor expansion of -1 in re 1.469 * [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 -1 in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.474 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.474 * [taylor]: Taking taylor expansion of 1/3 in re 1.474 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.474 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.474 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.474 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.474 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.474 * [taylor]: Taking taylor expansion of -1 in re 1.474 * [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 -1 in re 1.474 * [taylor]: Taking taylor expansion of re in re 1.475 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.475 * [taylor]: Taking taylor expansion of -1 in re 1.475 * [taylor]: Taking taylor expansion of im in re 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.475 * [taylor]: Taking taylor expansion of -1 in re 1.475 * [taylor]: Taking taylor expansion of im in re 1.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.478 * [taylor]: Taking taylor expansion of re in re 1.478 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in re 1.478 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ 1 re)) 1.478 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 1.478 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 1.479 * [taylor]: Taking taylor expansion of 1/3 in re 1.479 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 1.479 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 1.479 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.479 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.479 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.479 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.479 * [taylor]: Taking taylor expansion of -1 in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.479 * [taylor]: Taking taylor expansion of -1 in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.479 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.479 * [taylor]: Taking taylor expansion of -1 in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.479 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.479 * [taylor]: Taking taylor expansion of -1 in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.483 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.483 * [taylor]: Taking taylor expansion of 1/3 in re 1.483 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.483 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.483 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.483 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.483 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.483 * [taylor]: Taking taylor expansion of -1 in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.483 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.483 * [taylor]: Taking taylor expansion of -1 in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.487 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of 1 in im 1.488 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.493 * [taylor]: Taking taylor expansion of 0 in im 1.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 1.505 * [taylor]: Taking taylor expansion of 1/2 in im 1.505 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 1.505 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 1.505 * [taylor]: Taking taylor expansion of re in im 1.505 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.505 * [taylor]: Taking taylor expansion of im in im 1.508 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2) 1.508 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.508 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.508 * [taylor]: Taking taylor expansion of 1/3 in im 1.508 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.508 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.508 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.508 * [taylor]: Taking taylor expansion of (* re re) in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (* im im) in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.510 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.510 * [taylor]: Taking taylor expansion of 1/3 in re 1.510 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.510 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.510 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.510 * [taylor]: Taking taylor expansion of (* re re) in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of (* im im) in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.511 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.511 * [taylor]: Taking taylor expansion of 1/3 in re 1.511 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.511 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.511 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.511 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.511 * [taylor]: Taking taylor expansion of (* re re) in re 1.511 * [taylor]: Taking taylor expansion of re in re 1.511 * [taylor]: Taking taylor expansion of re in re 1.511 * [taylor]: Taking taylor expansion of (* im im) in re 1.511 * [taylor]: Taking taylor expansion of im in re 1.511 * [taylor]: Taking taylor expansion of im in re 1.513 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.513 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.513 * [taylor]: Taking taylor expansion of 1/3 in im 1.513 * [taylor]: Taking taylor expansion of (log im) in im 1.513 * [taylor]: Taking taylor expansion of im in im 1.515 * [taylor]: Taking taylor expansion of 0 in im 1.520 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.520 * [taylor]: Taking taylor expansion of 1/6 in im 1.520 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.520 * [taylor]: Taking taylor expansion of 1/3 in im 1.520 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.520 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.520 * [taylor]: Taking taylor expansion of im in im 1.531 * [taylor]: Taking taylor expansion of 0 in im 1.543 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.543 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.543 * [taylor]: Taking taylor expansion of 1/3 in im 1.543 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.543 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.543 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.543 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.543 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.543 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.543 * [taylor]: Taking taylor expansion of im in im 1.544 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.547 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.547 * [taylor]: Taking taylor expansion of 1/3 in re 1.547 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.547 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.548 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.548 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.552 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.552 * [taylor]: Taking taylor expansion of 1/3 in re 1.552 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.552 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.552 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.552 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.556 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.556 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.556 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.556 * [taylor]: Taking taylor expansion of -1/3 in im 1.556 * [taylor]: Taking taylor expansion of (log re) in im 1.556 * [taylor]: Taking taylor expansion of re in im 1.558 * [taylor]: Taking taylor expansion of 0 in im 1.565 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.565 * [taylor]: Taking taylor expansion of 1/6 in im 1.565 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.565 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.565 * [taylor]: Taking taylor expansion of 1/3 in im 1.565 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.565 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.565 * [taylor]: Taking taylor expansion of re in im 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.565 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.565 * [taylor]: Taking taylor expansion of im in im 1.582 * [taylor]: Taking taylor expansion of 0 in im 1.582 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.582 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.582 * [taylor]: Taking taylor expansion of 1/3 in im 1.582 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.582 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.582 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.582 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.582 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.583 * [taylor]: Taking taylor expansion of -1 in im 1.583 * [taylor]: Taking taylor expansion of re in im 1.583 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.583 * [taylor]: Taking taylor expansion of -1 in im 1.583 * [taylor]: Taking taylor expansion of re in im 1.583 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.583 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.583 * [taylor]: Taking taylor expansion of -1 in im 1.583 * [taylor]: Taking taylor expansion of im in im 1.583 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.583 * [taylor]: Taking taylor expansion of -1 in im 1.583 * [taylor]: Taking taylor expansion of im in im 1.586 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.587 * [taylor]: Taking taylor expansion of 1/3 in re 1.587 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.587 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.587 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.587 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.587 * [taylor]: Taking taylor expansion of -1 in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.587 * [taylor]: Taking taylor expansion of -1 in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.587 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.587 * [taylor]: Taking taylor expansion of -1 in re 1.588 * [taylor]: Taking taylor expansion of im in re 1.588 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.588 * [taylor]: Taking taylor expansion of -1 in re 1.588 * [taylor]: Taking taylor expansion of im in re 1.591 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.591 * [taylor]: Taking taylor expansion of 1/3 in re 1.591 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.591 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.591 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.591 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.591 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.591 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.591 * [taylor]: Taking taylor expansion of -1 in re 1.591 * [taylor]: Taking taylor expansion of re in re 1.591 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.591 * [taylor]: Taking taylor expansion of -1 in re 1.591 * [taylor]: Taking taylor expansion of re in re 1.592 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.592 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.592 * [taylor]: Taking taylor expansion of -1 in re 1.592 * [taylor]: Taking taylor expansion of im in re 1.592 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.592 * [taylor]: Taking taylor expansion of -1 in re 1.592 * [taylor]: Taking taylor expansion of im in re 1.595 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.595 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.595 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.595 * [taylor]: Taking taylor expansion of -1/3 in im 1.595 * [taylor]: Taking taylor expansion of (log re) in im 1.595 * [taylor]: Taking taylor expansion of re in im 1.597 * [taylor]: Taking taylor expansion of 0 in im 1.604 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.604 * [taylor]: Taking taylor expansion of 1/6 in im 1.604 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.604 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.604 * [taylor]: Taking taylor expansion of 1/3 in im 1.604 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.604 * [taylor]: Taking taylor expansion of re in im 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.604 * [taylor]: Taking taylor expansion of im in im 1.621 * [taylor]: Taking taylor expansion of 0 in im 1.621 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1 2) 1.621 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.621 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.621 * [taylor]: Taking taylor expansion of 1/3 in im 1.621 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.621 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.621 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.621 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.621 * [taylor]: Taking taylor expansion of (* re re) in im 1.621 * [taylor]: Taking taylor expansion of re in im 1.621 * [taylor]: Taking taylor expansion of re in im 1.622 * [taylor]: Taking taylor expansion of (* im im) in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.623 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.623 * [taylor]: Taking taylor expansion of 1/3 in re 1.623 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.623 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.623 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.623 * [taylor]: Taking taylor expansion of (* re re) in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.623 * [taylor]: Taking taylor expansion of (* im im) in re 1.623 * [taylor]: Taking taylor expansion of im in re 1.623 * [taylor]: Taking taylor expansion of im in re 1.624 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.624 * [taylor]: Taking taylor expansion of 1/3 in re 1.624 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.624 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.624 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.624 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.624 * [taylor]: Taking taylor expansion of (* re re) in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of (* im im) in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.626 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.626 * [taylor]: Taking taylor expansion of 1/3 in im 1.626 * [taylor]: Taking taylor expansion of (log im) in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.628 * [taylor]: Taking taylor expansion of 0 in im 1.636 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.636 * [taylor]: Taking taylor expansion of 1/6 in im 1.636 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.636 * [taylor]: Taking taylor expansion of 1/3 in im 1.636 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.636 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.636 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of 0 in im 1.655 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.655 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.655 * [taylor]: Taking taylor expansion of 1/3 in im 1.655 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.655 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.655 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.659 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.659 * [taylor]: Taking taylor expansion of 1/3 in re 1.659 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.659 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.659 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.659 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.659 * [taylor]: Taking taylor expansion of re in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.659 * [taylor]: Taking taylor expansion of re in re 1.660 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.660 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.660 * [taylor]: Taking taylor expansion of im in re 1.660 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.660 * [taylor]: Taking taylor expansion of im in re 1.663 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.663 * [taylor]: Taking taylor expansion of 1/3 in re 1.663 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.663 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.663 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.663 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.663 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.663 * [taylor]: Taking taylor expansion of re in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.664 * [taylor]: Taking taylor expansion of re in re 1.664 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.664 * [taylor]: Taking taylor expansion of im in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.664 * [taylor]: Taking taylor expansion of im in re 1.667 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.667 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.667 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.667 * [taylor]: Taking taylor expansion of -1/3 in im 1.667 * [taylor]: Taking taylor expansion of (log re) in im 1.667 * [taylor]: Taking taylor expansion of re in im 1.669 * [taylor]: Taking taylor expansion of 0 in im 1.675 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.675 * [taylor]: Taking taylor expansion of 1/6 in im 1.676 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.676 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.676 * [taylor]: Taking taylor expansion of 1/3 in im 1.676 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.676 * [taylor]: Taking taylor expansion of re in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.676 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.692 * [taylor]: Taking taylor expansion of 0 in im 1.692 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.692 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.692 * [taylor]: Taking taylor expansion of 1/3 in im 1.693 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.693 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.693 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.693 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.693 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.693 * [taylor]: Taking taylor expansion of -1 in im 1.693 * [taylor]: Taking taylor expansion of re in im 1.693 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.693 * [taylor]: Taking taylor expansion of -1 in im 1.693 * [taylor]: Taking taylor expansion of re in im 1.693 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.693 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.693 * [taylor]: Taking taylor expansion of -1 in im 1.693 * [taylor]: Taking taylor expansion of im in im 1.693 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.693 * [taylor]: Taking taylor expansion of -1 in im 1.693 * [taylor]: Taking taylor expansion of im in im 1.697 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.697 * [taylor]: Taking taylor expansion of 1/3 in re 1.697 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.697 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.697 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.697 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.697 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.697 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.697 * [taylor]: Taking taylor expansion of -1 in re 1.697 * [taylor]: Taking taylor expansion of re in re 1.697 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.697 * [taylor]: Taking taylor expansion of -1 in re 1.697 * [taylor]: Taking taylor expansion of re in re 1.698 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.698 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.698 * [taylor]: Taking taylor expansion of -1 in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.698 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.698 * [taylor]: Taking taylor expansion of -1 in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.701 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.701 * [taylor]: Taking taylor expansion of 1/3 in re 1.701 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.701 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.701 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.701 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.701 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.701 * [taylor]: Taking taylor expansion of -1 in re 1.701 * [taylor]: Taking taylor expansion of re in re 1.702 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.702 * [taylor]: Taking taylor expansion of -1 in re 1.702 * [taylor]: Taking taylor expansion of re in re 1.702 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.702 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.702 * [taylor]: Taking taylor expansion of -1 in re 1.702 * [taylor]: Taking taylor expansion of im in re 1.702 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.702 * [taylor]: Taking taylor expansion of -1 in re 1.702 * [taylor]: Taking taylor expansion of im in re 1.705 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.705 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.705 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.705 * [taylor]: Taking taylor expansion of -1/3 in im 1.705 * [taylor]: Taking taylor expansion of (log re) in im 1.705 * [taylor]: Taking taylor expansion of re in im 1.707 * [taylor]: Taking taylor expansion of 0 in im 1.714 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.714 * [taylor]: Taking taylor expansion of 1/6 in im 1.714 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.714 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.714 * [taylor]: Taking taylor expansion of 1/3 in im 1.714 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.714 * [taylor]: Taking taylor expansion of re in im 1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.714 * [taylor]: Taking taylor expansion of im in im 1.734 * [taylor]: Taking taylor expansion of 0 in im 1.735 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1 1) 1.735 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.735 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.735 * [taylor]: Taking taylor expansion of 1/3 in im 1.735 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.735 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.735 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.735 * [taylor]: Taking taylor expansion of (* re re) in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [taylor]: Taking taylor expansion of (* im im) in im 1.735 * [taylor]: Taking taylor expansion of im in im 1.735 * [taylor]: Taking taylor expansion of im in im 1.736 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.736 * [taylor]: Taking taylor expansion of 1/3 in re 1.736 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.736 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.737 * [taylor]: Taking taylor expansion of (* re re) in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [taylor]: Taking taylor expansion of (* im im) in re 1.737 * [taylor]: Taking taylor expansion of im in re 1.737 * [taylor]: Taking taylor expansion of im in re 1.738 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.738 * [taylor]: Taking taylor expansion of 1/3 in re 1.738 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.738 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.738 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.738 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.738 * [taylor]: Taking taylor expansion of (* re re) in re 1.738 * [taylor]: Taking taylor expansion of re in re 1.738 * [taylor]: Taking taylor expansion of re in re 1.738 * [taylor]: Taking taylor expansion of (* im im) in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.739 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.739 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.739 * [taylor]: Taking taylor expansion of 1/3 in im 1.739 * [taylor]: Taking taylor expansion of (log im) in im 1.739 * [taylor]: Taking taylor expansion of im in im 1.741 * [taylor]: Taking taylor expansion of 0 in im 1.746 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.746 * [taylor]: Taking taylor expansion of 1/6 in im 1.746 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.746 * [taylor]: Taking taylor expansion of 1/3 in im 1.746 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.746 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.746 * [taylor]: Taking taylor expansion of im in im 1.756 * [taylor]: Taking taylor expansion of 0 in im 1.765 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.765 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.765 * [taylor]: Taking taylor expansion of 1/3 in im 1.765 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.765 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.765 * [taylor]: Taking taylor expansion of re in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.765 * [taylor]: Taking taylor expansion of re in im 1.765 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.765 * [taylor]: Taking taylor expansion of im in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.766 * [taylor]: Taking taylor expansion of im in im 1.769 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.769 * [taylor]: Taking taylor expansion of 1/3 in re 1.769 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.769 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.773 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.773 * [taylor]: Taking taylor expansion of 1/3 in re 1.773 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.774 * [taylor]: Taking taylor expansion of im in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.774 * [taylor]: Taking taylor expansion of im in re 1.777 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.777 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.777 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.777 * [taylor]: Taking taylor expansion of -1/3 in im 1.777 * [taylor]: Taking taylor expansion of (log re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.779 * [taylor]: Taking taylor expansion of 0 in im 1.785 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.785 * [taylor]: Taking taylor expansion of 1/6 in im 1.785 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.785 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.785 * [taylor]: Taking taylor expansion of 1/3 in im 1.785 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.785 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.785 * [taylor]: Taking taylor expansion of re in im 1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.803 * [taylor]: Taking taylor expansion of 0 in im 1.803 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.803 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.803 * [taylor]: Taking taylor expansion of 1/3 in im 1.803 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.803 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.803 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.803 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.803 * [taylor]: Taking taylor expansion of -1 in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.803 * [taylor]: Taking taylor expansion of -1 in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.803 * [taylor]: Taking taylor expansion of -1 in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.804 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.804 * [taylor]: Taking taylor expansion of -1 in im 1.804 * [taylor]: Taking taylor expansion of im in im 1.810 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.810 * [taylor]: Taking taylor expansion of 1/3 in re 1.810 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.810 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.810 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.810 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.810 * [taylor]: Taking taylor expansion of -1 in re 1.810 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.811 * [taylor]: Taking taylor expansion of -1 in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.811 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.811 * [taylor]: Taking taylor expansion of -1 in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.811 * [taylor]: Taking taylor expansion of -1 in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.815 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.815 * [taylor]: Taking taylor expansion of 1/3 in re 1.815 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.815 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.815 * [taylor]: Taking taylor expansion of -1 in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.815 * [taylor]: Taking taylor expansion of -1 in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.816 * [taylor]: Taking taylor expansion of -1 in re 1.816 * [taylor]: Taking taylor expansion of im in re 1.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.816 * [taylor]: Taking taylor expansion of -1 in re 1.816 * [taylor]: Taking taylor expansion of im in re 1.819 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.819 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.819 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.819 * [taylor]: Taking taylor expansion of -1/3 in im 1.819 * [taylor]: Taking taylor expansion of (log re) in im 1.819 * [taylor]: Taking taylor expansion of re in im 1.821 * [taylor]: Taking taylor expansion of 0 in im 1.827 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.828 * [taylor]: Taking taylor expansion of 1/6 in im 1.828 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.828 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.828 * [taylor]: Taking taylor expansion of 1/3 in im 1.828 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.828 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.828 * [taylor]: Taking taylor expansion of re in im 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.828 * [taylor]: Taking taylor expansion of im in im 1.844 * [taylor]: Taking taylor expansion of 0 in im 1.845 * * * [progress]: simplifying candidates 1.845 * [simplify]: Simplifying using # : (expm1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (log1p (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (log (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (exp (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (* (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (* (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (- im re) 0 (- (* 2 re)) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.849 * * [simplify]: iteration 0 : 84 enodes (cost 329 ) 1.851 * * [simplify]: iteration 1 : 188 enodes (cost 287 ) 1.855 * * [simplify]: iteration 2 : 663 enodes (cost 279 ) 1.871 * * [simplify]: iteration 3 : 3464 enodes (cost 272 ) 1.982 * * [simplify]: iteration 4 : 5001 enodes (cost 263 ) 1.984 * [simplify]: Simplified to: (expm1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (log1p (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (hypot re im) (log (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (exp (+ (hypot re im) (- 0 re))) (* (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (- im re) 0 (- (* 2 re)) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.985 * * * [progress]: adding candidates to table 2.199 * [progress]: [Phase 3 of 3] Extracting. 2.200 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.203 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.203 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.237 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 2.291 * * * [regime]: Found split indices: #