11.900 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.028 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.029 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.030 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.032 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.032 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.049 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.056 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.066 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.066 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.066 * [taylor]: Taking taylor expansion of re in im 0.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.066 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.068 * [taylor]: Taking taylor expansion of im in re 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.069 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.069 * [taylor]: Taking taylor expansion of 1/2 in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of 1 in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of 1/2 in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of 1/2 in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.106 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.106 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.106 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 1 in im 0.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.110 * [taylor]: Taking taylor expansion of 1/2 in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.114 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 2)) in im 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.115 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of 2 in im 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.145 * [taylor]: Taking taylor expansion of 1/2 in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.151 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.151 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.151 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.151 * [taylor]: Taking taylor expansion of 2.0 in im 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.152 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.153 * [taylor]: Taking taylor expansion of 2.0 in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.154 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.155 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.155 * [taylor]: Taking taylor expansion of 2.0 in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.156 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.156 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.157 * [taylor]: Taking taylor expansion of 2.0 in im 0.158 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.160 * [taylor]: Taking taylor expansion of 1/2 in im 0.160 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.160 * [taylor]: Taking taylor expansion of 2.0 in im 0.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.177 * [taylor]: Taking taylor expansion of 1/8 in im 0.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.177 * [taylor]: Taking taylor expansion of 2.0 in im 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.194 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.194 * [taylor]: Taking taylor expansion of 2.0 in im 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.199 * [taylor]: Taking taylor expansion of 2.0 in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of 0 in im 0.210 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.210 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.210 * [taylor]: Taking taylor expansion of +nan.0 in im 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.210 * [taylor]: Taking taylor expansion of 2.0 in im 0.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.215 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.215 * [taylor]: Taking taylor expansion of +nan.0 in im 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.215 * [taylor]: Taking taylor expansion of 2.0 in im 0.224 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.224 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.224 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.224 * [taylor]: Taking taylor expansion of +nan.0 in im 0.224 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.224 * [taylor]: Taking taylor expansion of 2.0 in im 0.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.226 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.226 * [taylor]: Taking taylor expansion of +nan.0 in im 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.226 * [taylor]: Taking taylor expansion of 2.0 in im 0.237 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.237 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.237 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.237 * [taylor]: Taking taylor expansion of +nan.0 in im 0.237 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.238 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.238 * [taylor]: Taking taylor expansion of +nan.0 in im 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.239 * [taylor]: Taking taylor expansion of 2.0 in im 0.258 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.258 * [taylor]: Taking taylor expansion of 2.0 in im 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.259 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.259 * [taylor]: Taking taylor expansion of re in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.261 * [taylor]: Taking taylor expansion of re in im 0.263 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.263 * [taylor]: Taking taylor expansion of 2.0 in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.263 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.264 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.264 * [taylor]: Taking taylor expansion of im in re 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.264 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.264 * [taylor]: Taking taylor expansion of re in re 0.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.271 * [taylor]: Taking taylor expansion of 2.0 in re 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.272 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.280 * [taylor]: Taking taylor expansion of 0 in im 0.281 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.281 * [taylor]: Taking taylor expansion of +nan.0 in im 0.281 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.281 * [taylor]: Taking taylor expansion of 2.0 in im 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.289 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.289 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.289 * [taylor]: Taking taylor expansion of +nan.0 in im 0.289 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.289 * [taylor]: Taking taylor expansion of 2.0 in im 0.289 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.305 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.305 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.305 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.305 * [taylor]: Taking taylor expansion of +nan.0 in im 0.306 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.306 * [taylor]: Taking taylor expansion of 2.0 in im 0.306 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.306 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.307 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.307 * [taylor]: Taking taylor expansion of +nan.0 in im 0.307 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.307 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.331 * * * [progress]: simplifying candidates 0.332 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.342 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.347 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.360 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.406 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.408 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.408 * * * [progress]: adding candidates to table 0.585 * * [progress]: iteration 2 / 4 0.585 * * * [progress]: picking best candidate 0.591 * * * * [pick]: Picked # 0.591 * * * [progress]: localizing error 0.599 * * * [progress]: generating rewritten candidates 0.599 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2) 0.603 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.610 * * * [progress]: generating series expansions 0.610 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2) 0.610 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.610 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.610 * [taylor]: Taking taylor expansion of re in im 0.610 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.611 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.611 * [taylor]: Taking taylor expansion of (* re re) in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [taylor]: Taking taylor expansion of (* im im) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.612 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.612 * [taylor]: Taking taylor expansion of (* re re) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (* im im) in re 0.612 * [taylor]: Taking taylor expansion of im in re 0.612 * [taylor]: Taking taylor expansion of im in re 0.614 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.614 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.614 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.614 * [taylor]: Taking taylor expansion of (* re re) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [taylor]: Taking taylor expansion of (* im im) in re 0.614 * [taylor]: Taking taylor expansion of im in re 0.614 * [taylor]: Taking taylor expansion of im in re 0.615 * [taylor]: Taking taylor expansion of im in im 0.615 * [taylor]: Taking taylor expansion of 1 in im 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.617 * [taylor]: Taking taylor expansion of 1/2 in im 0.617 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.617 * [taylor]: Taking taylor expansion of im in im 0.620 * [taylor]: Taking taylor expansion of 0 in im 0.621 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.621 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.621 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.621 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.621 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.621 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.621 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.621 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.621 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.624 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.624 * [taylor]: Taking taylor expansion of re in im 0.624 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.624 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.625 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.625 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.628 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.628 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.628 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.628 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.629 * [taylor]: Taking taylor expansion of im in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.629 * [taylor]: Taking taylor expansion of im in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of 2 in im 0.633 * [taylor]: Taking taylor expansion of 0 in im 0.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.636 * [taylor]: Taking taylor expansion of 1/2 in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.642 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.643 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.643 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.643 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.643 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.643 * [taylor]: Taking taylor expansion of -1 in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.643 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.643 * [taylor]: Taking taylor expansion of -1 in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.643 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.643 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.643 * [taylor]: Taking taylor expansion of -1 in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.643 * [taylor]: Taking taylor expansion of -1 in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.646 * [taylor]: Taking taylor expansion of re in im 0.646 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.646 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.646 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.646 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.646 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.646 * [taylor]: Taking taylor expansion of -1 in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.647 * [taylor]: Taking taylor expansion of -1 in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.647 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.647 * [taylor]: Taking taylor expansion of -1 in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.647 * [taylor]: Taking taylor expansion of -1 in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.650 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.650 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.650 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.650 * [taylor]: Taking taylor expansion of -1 in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.651 * [taylor]: Taking taylor expansion of -1 in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.651 * [taylor]: Taking taylor expansion of -1 in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.651 * [taylor]: Taking taylor expansion of -1 in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.659 * [taylor]: Taking taylor expansion of 1/2 in im 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.659 * [taylor]: Taking taylor expansion of im in im 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.666 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.666 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.666 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.666 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.666 * [taylor]: Taking taylor expansion of re in im 0.666 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.667 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.667 * [taylor]: Taking taylor expansion of (* re re) in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of (* im im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.674 * [taylor]: Taking taylor expansion of 2.0 in im 0.674 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.674 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.674 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.674 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.675 * [taylor]: Taking taylor expansion of (* re re) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of (* im im) in re 0.675 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of im in re 0.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.676 * [taylor]: Taking taylor expansion of 2.0 in re 0.677 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.677 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.677 * [taylor]: Taking taylor expansion of (* re re) in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [taylor]: Taking taylor expansion of (* im im) in re 0.677 * [taylor]: Taking taylor expansion of im in re 0.677 * [taylor]: Taking taylor expansion of im in re 0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.679 * [taylor]: Taking taylor expansion of 2.0 in re 0.680 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.680 * [taylor]: Taking taylor expansion of 2.0 in im 0.680 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.682 * [taylor]: Taking taylor expansion of 1/2 in im 0.682 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.682 * [taylor]: Taking taylor expansion of 2.0 in im 0.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.683 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.683 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.695 * [taylor]: Taking taylor expansion of 1/8 in im 0.695 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.695 * [taylor]: Taking taylor expansion of 2.0 in im 0.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.695 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.711 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.711 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.711 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.711 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.711 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.711 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.711 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.716 * [taylor]: Taking taylor expansion of 2.0 in im 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.716 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 0.717 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.721 * [taylor]: Taking taylor expansion of 2.0 in re 0.722 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.722 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.722 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.722 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.722 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.727 * [taylor]: Taking taylor expansion of 2.0 in re 0.728 * [taylor]: Taking taylor expansion of 0 in im 0.729 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.729 * [taylor]: Taking taylor expansion of +nan.0 in im 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.735 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.735 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.735 * [taylor]: Taking taylor expansion of +nan.0 in im 0.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.735 * [taylor]: Taking taylor expansion of 2.0 in im 0.744 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.744 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.745 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.745 * [taylor]: Taking taylor expansion of +nan.0 in im 0.745 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.745 * [taylor]: Taking taylor expansion of 2.0 in im 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.746 * [taylor]: Taking taylor expansion of +nan.0 in im 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.746 * [taylor]: Taking taylor expansion of 2.0 in im 0.766 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.766 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.766 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.766 * [taylor]: Taking taylor expansion of +nan.0 in im 0.766 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.766 * [taylor]: Taking taylor expansion of 2.0 in im 0.767 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.767 * [taylor]: Taking taylor expansion of im in im 0.767 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.768 * [taylor]: Taking taylor expansion of +nan.0 in im 0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.768 * [taylor]: Taking taylor expansion of 2.0 in im 0.781 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.781 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.781 * [taylor]: Taking taylor expansion of 2.0 in im 0.782 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.782 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.782 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.782 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.782 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.782 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.782 * [taylor]: Taking taylor expansion of -1 in im 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.782 * [taylor]: Taking taylor expansion of -1 in im 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.782 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.782 * [taylor]: Taking taylor expansion of -1 in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.783 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.783 * [taylor]: Taking taylor expansion of -1 in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.787 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.787 * [taylor]: Taking taylor expansion of 2.0 in re 0.788 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.788 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.788 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.788 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.788 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.788 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.788 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.788 * [taylor]: Taking taylor expansion of -1 in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.788 * [taylor]: Taking taylor expansion of -1 in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.789 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.789 * [taylor]: Taking taylor expansion of -1 in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.789 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.789 * [taylor]: Taking taylor expansion of -1 in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.797 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.797 * [taylor]: Taking taylor expansion of 2.0 in re 0.798 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.798 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.798 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.798 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.798 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.798 * [taylor]: Taking taylor expansion of -1 in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.798 * [taylor]: Taking taylor expansion of -1 in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.799 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.799 * [taylor]: Taking taylor expansion of -1 in re 0.799 * [taylor]: Taking taylor expansion of im in re 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.799 * [taylor]: Taking taylor expansion of -1 in re 0.799 * [taylor]: Taking taylor expansion of im in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.808 * [taylor]: Taking taylor expansion of 0 in im 0.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.808 * [taylor]: Taking taylor expansion of +nan.0 in im 0.808 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.817 * [taylor]: Taking taylor expansion of +nan.0 in im 0.817 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.817 * [taylor]: Taking taylor expansion of 2.0 in im 0.818 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.835 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.835 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.835 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.835 * [taylor]: Taking taylor expansion of +nan.0 in im 0.835 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.835 * [taylor]: Taking taylor expansion of 2.0 in im 0.835 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.837 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.837 * [taylor]: Taking taylor expansion of +nan.0 in im 0.837 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.837 * [taylor]: Taking taylor expansion of 2.0 in im 0.837 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.867 * * * [progress]: simplifying candidates 0.868 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.872 * * [simplify]: iteration 0 : 194 enodes (cost 185 ) 0.876 * * [simplify]: iteration 1 : 791 enodes (cost 167 ) 0.890 * * [simplify]: iteration 2 : 3233 enodes (cost 161 ) 0.947 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.948 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.948 * * * [progress]: adding candidates to table 1.054 * * [progress]: iteration 3 / 4 1.054 * * * [progress]: picking best candidate 1.064 * * * * [pick]: Picked # 1.065 * * * [progress]: localizing error 1.073 * * * [progress]: generating rewritten candidates 1.073 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.081 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 1.085 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.090 * * * [progress]: generating series expansions 1.090 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.090 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.090 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.091 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.091 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.091 * [taylor]: Taking taylor expansion of (* re re) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (* im im) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.092 * [taylor]: Taking taylor expansion of 2.0 in im 1.093 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.093 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.093 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.093 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.093 * [taylor]: Taking taylor expansion of (* re re) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (* im im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.095 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.095 * [taylor]: Taking taylor expansion of 2.0 in re 1.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.096 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.096 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.096 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.096 * [taylor]: Taking taylor expansion of (* re re) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of (* im im) in re 1.096 * [taylor]: Taking taylor expansion of im in re 1.096 * [taylor]: Taking taylor expansion of im in re 1.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.097 * [taylor]: Taking taylor expansion of 2.0 in re 1.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.099 * [taylor]: Taking taylor expansion of 2.0 in im 1.099 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.099 * [taylor]: Taking taylor expansion of im in im 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.101 * [taylor]: Taking taylor expansion of 1/2 in im 1.101 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.101 * [taylor]: Taking taylor expansion of 2.0 in im 1.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.113 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.114 * [taylor]: Taking taylor expansion of 1/8 in im 1.114 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.114 * [taylor]: Taking taylor expansion of 2.0 in im 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.115 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.115 * [taylor]: Taking taylor expansion of im in im 1.136 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.136 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.136 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.136 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.136 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.136 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.136 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.137 * [taylor]: Taking taylor expansion of re in im 1.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.137 * [taylor]: Taking taylor expansion of re in im 1.137 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.137 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.137 * [taylor]: Taking taylor expansion of im in im 1.137 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.137 * [taylor]: Taking taylor expansion of im in im 1.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.140 * [taylor]: Taking taylor expansion of re in im 1.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.141 * [taylor]: Taking taylor expansion of 2.0 in im 1.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.142 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.142 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.142 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.142 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.142 * [taylor]: Taking taylor expansion of re in re 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.142 * [taylor]: Taking taylor expansion of re in re 1.143 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.143 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.143 * [taylor]: Taking taylor expansion of im in re 1.143 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.143 * [taylor]: Taking taylor expansion of im in re 1.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.145 * [taylor]: Taking taylor expansion of re in re 1.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.147 * [taylor]: Taking taylor expansion of 2.0 in re 1.147 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.147 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.148 * [taylor]: Taking taylor expansion of im in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.148 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.153 * [taylor]: Taking taylor expansion of 2.0 in re 1.154 * [taylor]: Taking taylor expansion of 0 in im 1.155 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.155 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.155 * [taylor]: Taking taylor expansion of +nan.0 in im 1.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.155 * [taylor]: Taking taylor expansion of 2.0 in im 1.161 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.161 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.161 * [taylor]: Taking taylor expansion of +nan.0 in im 1.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.161 * [taylor]: Taking taylor expansion of 2.0 in im 1.170 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.171 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.171 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.171 * [taylor]: Taking taylor expansion of +nan.0 in im 1.171 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.171 * [taylor]: Taking taylor expansion of 2.0 in im 1.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.172 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.172 * [taylor]: Taking taylor expansion of +nan.0 in im 1.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.172 * [taylor]: Taking taylor expansion of 2.0 in im 1.184 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.184 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.184 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.184 * [taylor]: Taking taylor expansion of +nan.0 in im 1.184 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.184 * [taylor]: Taking taylor expansion of 2.0 in im 1.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.185 * [taylor]: Taking taylor expansion of im in im 1.186 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.186 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.186 * [taylor]: Taking taylor expansion of +nan.0 in im 1.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.186 * [taylor]: Taking taylor expansion of 2.0 in im 1.199 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.200 * [taylor]: Taking taylor expansion of 2.0 in im 1.200 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.200 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.200 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.200 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.200 * [taylor]: Taking taylor expansion of -1 in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.200 * [taylor]: Taking taylor expansion of -1 in im 1.201 * [taylor]: Taking taylor expansion of re in im 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.201 * [taylor]: Taking taylor expansion of -1 in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.201 * [taylor]: Taking taylor expansion of -1 in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.205 * [taylor]: Taking taylor expansion of 2.0 in re 1.206 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.206 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.206 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.206 * [taylor]: Taking taylor expansion of -1 in re 1.206 * [taylor]: Taking taylor expansion of re in re 1.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.207 * [taylor]: Taking taylor expansion of -1 in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.207 * [taylor]: Taking taylor expansion of -1 in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.207 * [taylor]: Taking taylor expansion of -1 in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.215 * [taylor]: Taking taylor expansion of 2.0 in re 1.223 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.223 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.223 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.223 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.223 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.223 * [taylor]: Taking taylor expansion of -1 in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.223 * [taylor]: Taking taylor expansion of -1 in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.224 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.224 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.224 * [taylor]: Taking taylor expansion of -1 in re 1.224 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.224 * [taylor]: Taking taylor expansion of -1 in re 1.224 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.233 * [taylor]: Taking taylor expansion of 0 in im 1.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.233 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.233 * [taylor]: Taking taylor expansion of +nan.0 in im 1.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.233 * [taylor]: Taking taylor expansion of 2.0 in im 1.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.234 * [taylor]: Taking taylor expansion of im in im 1.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.242 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.242 * [taylor]: Taking taylor expansion of +nan.0 in im 1.242 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.242 * [taylor]: Taking taylor expansion of 2.0 in im 1.243 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.260 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.260 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.260 * [taylor]: Taking taylor expansion of +nan.0 in im 1.260 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.260 * [taylor]: Taking taylor expansion of 2.0 in im 1.261 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.262 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.262 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.262 * [taylor]: Taking taylor expansion of +nan.0 in im 1.262 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.262 * [taylor]: Taking taylor expansion of 2.0 in im 1.263 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.287 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 1.287 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.287 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.287 * [taylor]: Taking taylor expansion of re in im 1.287 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.287 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.287 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.287 * [taylor]: Taking taylor expansion of (* re re) in im 1.287 * [taylor]: Taking taylor expansion of re in im 1.287 * [taylor]: Taking taylor expansion of re in im 1.287 * [taylor]: Taking taylor expansion of (* im im) in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.289 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.289 * [taylor]: Taking taylor expansion of (* re re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (* im im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.290 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.290 * [taylor]: Taking taylor expansion of (* re re) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (* im im) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of 1 in im 1.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.293 * [taylor]: Taking taylor expansion of 1/2 in im 1.293 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.293 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.297 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.297 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.297 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.297 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.297 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.301 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.301 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.311 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.311 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.312 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.312 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.312 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.313 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.313 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of 2 in im 1.316 * [taylor]: Taking taylor expansion of 0 in im 1.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.320 * [taylor]: Taking taylor expansion of 1/2 in im 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.320 * [taylor]: Taking taylor expansion of im in im 1.325 * [taylor]: Taking taylor expansion of 0 in im 1.326 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.326 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.326 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.326 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.326 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.326 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.327 * [taylor]: Taking taylor expansion of -1 in im 1.327 * [taylor]: Taking taylor expansion of re in im 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.327 * [taylor]: Taking taylor expansion of -1 in im 1.327 * [taylor]: Taking taylor expansion of re in im 1.327 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.327 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.327 * [taylor]: Taking taylor expansion of -1 in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.327 * [taylor]: Taking taylor expansion of -1 in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.330 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.330 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.330 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.330 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.330 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.330 * [taylor]: Taking taylor expansion of -1 in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.334 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.334 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.335 * [taylor]: Taking taylor expansion of -1 in re 1.335 * [taylor]: Taking taylor expansion of re in re 1.335 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.335 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.335 * [taylor]: Taking taylor expansion of -1 in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.335 * [taylor]: Taking taylor expansion of -1 in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.338 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.339 * [taylor]: Taking taylor expansion of 0 in im 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.343 * [taylor]: Taking taylor expansion of 1/2 in im 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.348 * [taylor]: Taking taylor expansion of 0 in im 1.350 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.350 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.350 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.350 * [taylor]: Taking taylor expansion of re in im 1.350 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.350 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.350 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.350 * [taylor]: Taking taylor expansion of (* re re) in im 1.350 * [taylor]: Taking taylor expansion of re in im 1.350 * [taylor]: Taking taylor expansion of re in im 1.350 * [taylor]: Taking taylor expansion of (* im im) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.352 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.352 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.352 * [taylor]: Taking taylor expansion of (* re re) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of (* im im) in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.354 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.354 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.354 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.354 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.354 * [taylor]: Taking taylor expansion of (* re re) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (* im im) in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.355 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.357 * [taylor]: Taking taylor expansion of 1/2 in im 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.361 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.361 * [taylor]: Taking taylor expansion of 1/8 in im 1.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.361 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.361 * [taylor]: Taking taylor expansion of im in im 1.368 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.368 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.368 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.372 * [taylor]: Taking taylor expansion of re in im 1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.373 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.373 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.373 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.373 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.373 * [taylor]: Taking taylor expansion of re in re 1.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.373 * [taylor]: Taking taylor expansion of re in re 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.377 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.378 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.378 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.378 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.378 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of 0 in im 1.383 * [taylor]: Taking taylor expansion of +nan.0 in im 1.386 * [taylor]: Taking taylor expansion of +nan.0 in im 1.390 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.390 * [taylor]: Taking taylor expansion of +nan.0 in im 1.390 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.390 * [taylor]: Taking taylor expansion of 1/2 in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of +nan.0 in im 1.403 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.403 * [taylor]: Taking taylor expansion of +nan.0 in im 1.404 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.404 * [taylor]: Taking taylor expansion of +nan.0 in im 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.404 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.404 * [taylor]: Taking taylor expansion of +nan.0 in im 1.411 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.411 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.411 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.411 * [taylor]: Taking taylor expansion of -1 in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.411 * [taylor]: Taking taylor expansion of -1 in im 1.412 * [taylor]: Taking taylor expansion of re in im 1.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.412 * [taylor]: Taking taylor expansion of -1 in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.412 * [taylor]: Taking taylor expansion of -1 in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.415 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.415 * [taylor]: Taking taylor expansion of re in im 1.416 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.416 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.416 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.417 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.417 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.417 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.417 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.417 * [taylor]: Taking taylor expansion of -1 in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.417 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.417 * [taylor]: Taking taylor expansion of -1 in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.417 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.417 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.417 * [taylor]: Taking taylor expansion of -1 in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.417 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.417 * [taylor]: Taking taylor expansion of -1 in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.426 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 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 -1 in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.427 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.427 * [taylor]: Taking taylor expansion of -1 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 -1 in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.435 * [taylor]: Taking taylor expansion of +nan.0 in im 1.435 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.435 * [taylor]: Taking taylor expansion of im in im 1.441 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.441 * [taylor]: Taking taylor expansion of +nan.0 in im 1.441 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.441 * [taylor]: Taking taylor expansion of im in im 1.451 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.452 * [taylor]: Taking taylor expansion of +nan.0 in im 1.452 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.452 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.452 * [taylor]: Taking taylor expansion of 1/8 in im 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.452 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.452 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.452 * [taylor]: Taking taylor expansion of +nan.0 in im 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.452 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.477 * * * [progress]: simplifying candidates 1.478 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 1.489 * * [simplify]: iteration 0 : 288 enodes (cost 432 ) 1.494 * * [simplify]: iteration 1 : 992 enodes (cost 402 ) 1.514 * * [simplify]: iteration 2 : 4306 enodes (cost 387 ) 1.587 * * [simplify]: iteration 3 : 5001 enodes (cost 387 ) 1.589 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (hypot (pow (hypot re im) 3/2) (pow re 3/2))) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 1.590 * * * [progress]: adding candidates to table 1.784 * * [progress]: iteration 4 / 4 1.784 * * * [progress]: picking best candidate 1.794 * * * * [pick]: Picked # 1.794 * * * [progress]: localizing error 1.805 * * * [progress]: generating rewritten candidates 1.805 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.818 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.842 * * * [progress]: generating series expansions 1.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.843 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.843 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.843 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.844 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.844 * [taylor]: Taking taylor expansion of re in im 1.844 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.844 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.844 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.844 * [taylor]: Taking taylor expansion of (* re re) in im 1.844 * [taylor]: Taking taylor expansion of re in im 1.844 * [taylor]: Taking taylor expansion of re in im 1.844 * [taylor]: Taking taylor expansion of (* im im) in im 1.844 * [taylor]: Taking taylor expansion of im in im 1.844 * [taylor]: Taking taylor expansion of im in im 1.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.845 * [taylor]: Taking taylor expansion of 2.0 in im 1.846 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.846 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.846 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.846 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.846 * [taylor]: Taking taylor expansion of (* re re) in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [taylor]: Taking taylor expansion of (* im im) in re 1.846 * [taylor]: Taking taylor expansion of im in re 1.846 * [taylor]: Taking taylor expansion of im in re 1.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.848 * [taylor]: Taking taylor expansion of 2.0 in re 1.849 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.849 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.849 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.849 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.849 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.849 * [taylor]: Taking taylor expansion of (* re re) in re 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [taylor]: Taking taylor expansion of (* im im) in re 1.849 * [taylor]: Taking taylor expansion of im in re 1.849 * [taylor]: Taking taylor expansion of im in re 1.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.851 * [taylor]: Taking taylor expansion of 2.0 in re 1.852 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.852 * [taylor]: Taking taylor expansion of 2.0 in im 1.853 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.853 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.855 * [taylor]: Taking taylor expansion of 1/2 in im 1.855 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.855 * [taylor]: Taking taylor expansion of 2.0 in im 1.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.856 * [taylor]: Taking taylor expansion of im in im 1.867 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.867 * [taylor]: Taking taylor expansion of 1/8 in im 1.867 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.867 * [taylor]: Taking taylor expansion of 2.0 in im 1.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.868 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.868 * [taylor]: Taking taylor expansion of im in im 1.884 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.884 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.884 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.884 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.884 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.885 * [taylor]: Taking taylor expansion of re in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.885 * [taylor]: Taking taylor expansion of re in im 1.885 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.889 * [taylor]: Taking taylor expansion of 2.0 in im 1.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.890 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.890 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.890 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.890 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.891 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.891 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.891 * [taylor]: Taking taylor expansion of im in re 1.891 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.891 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.895 * [taylor]: Taking taylor expansion of 2.0 in re 1.896 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.896 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.896 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.899 * [taylor]: Taking taylor expansion of re in re 1.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.901 * [taylor]: Taking taylor expansion of 2.0 in re 1.904 * [taylor]: Taking taylor expansion of 0 in im 1.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.906 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.906 * [taylor]: Taking taylor expansion of +nan.0 in im 1.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.906 * [taylor]: Taking taylor expansion of 2.0 in im 1.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.912 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.912 * [taylor]: Taking taylor expansion of +nan.0 in im 1.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.912 * [taylor]: Taking taylor expansion of 2.0 in im 1.921 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.921 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.921 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.921 * [taylor]: Taking taylor expansion of +nan.0 in im 1.921 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.921 * [taylor]: Taking taylor expansion of 2.0 in im 1.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.922 * [taylor]: Taking taylor expansion of im in im 1.923 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.923 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.923 * [taylor]: Taking taylor expansion of +nan.0 in im 1.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.923 * [taylor]: Taking taylor expansion of 2.0 in im 1.944 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.944 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.944 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.944 * [taylor]: Taking taylor expansion of +nan.0 in im 1.944 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.944 * [taylor]: Taking taylor expansion of 2.0 in im 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.945 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.945 * [taylor]: Taking taylor expansion of +nan.0 in im 1.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.945 * [taylor]: Taking taylor expansion of 2.0 in im 1.960 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.960 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.960 * [taylor]: Taking taylor expansion of 2.0 in im 1.961 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.961 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.961 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.961 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.961 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.961 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.961 * [taylor]: Taking taylor expansion of -1 in im 1.961 * [taylor]: Taking taylor expansion of re in im 1.961 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.961 * [taylor]: Taking taylor expansion of -1 in im 1.961 * [taylor]: Taking taylor expansion of re in im 1.961 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.961 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.961 * [taylor]: Taking taylor expansion of -1 in im 1.961 * [taylor]: Taking taylor expansion of im in im 1.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.962 * [taylor]: Taking taylor expansion of -1 in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.965 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.965 * [taylor]: Taking taylor expansion of re in im 1.966 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.966 * [taylor]: Taking taylor expansion of 2.0 in re 1.967 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.967 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.967 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.967 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.967 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.967 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.967 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.967 * [taylor]: Taking taylor expansion of -1 in re 1.967 * [taylor]: Taking taylor expansion of re in re 1.967 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.967 * [taylor]: Taking taylor expansion of -1 in re 1.967 * [taylor]: Taking taylor expansion of re in re 1.968 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.968 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.968 * [taylor]: Taking taylor expansion of -1 in re 1.968 * [taylor]: Taking taylor expansion of im in re 1.968 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.968 * [taylor]: Taking taylor expansion of -1 in re 1.968 * [taylor]: Taking taylor expansion of im in re 1.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.971 * [taylor]: Taking taylor expansion of re in re 1.976 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.976 * [taylor]: Taking taylor expansion of 2.0 in re 1.977 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.977 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.977 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.977 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.977 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.977 * [taylor]: Taking taylor expansion of -1 in re 1.977 * [taylor]: Taking taylor expansion of re in re 1.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.978 * [taylor]: Taking taylor expansion of -1 in re 1.978 * [taylor]: Taking taylor expansion of re in re 1.978 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.978 * [taylor]: Taking taylor expansion of -1 in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.978 * [taylor]: Taking taylor expansion of -1 in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.987 * [taylor]: Taking taylor expansion of 0 in im 1.987 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.987 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.987 * [taylor]: Taking taylor expansion of +nan.0 in im 1.987 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.988 * [taylor]: Taking taylor expansion of 2.0 in im 1.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.988 * [taylor]: Taking taylor expansion of im in im 1.996 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.996 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.996 * [taylor]: Taking taylor expansion of +nan.0 in im 1.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.996 * [taylor]: Taking taylor expansion of 2.0 in im 1.997 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.997 * [taylor]: Taking taylor expansion of im in im 2.014 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.014 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.014 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.014 * [taylor]: Taking taylor expansion of +nan.0 in im 2.014 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.014 * [taylor]: Taking taylor expansion of 2.0 in im 2.015 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.015 * [taylor]: Taking taylor expansion of im in im 2.016 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.016 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.016 * [taylor]: Taking taylor expansion of +nan.0 in im 2.016 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.016 * [taylor]: Taking taylor expansion of 2.0 in im 2.016 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.016 * [taylor]: Taking taylor expansion of im in im 2.047 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.047 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 2.047 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 2.047 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 2.047 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.047 * [taylor]: Taking taylor expansion of re in im 2.047 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.048 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.048 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.048 * [taylor]: Taking taylor expansion of (* re re) in im 2.048 * [taylor]: Taking taylor expansion of re in im 2.048 * [taylor]: Taking taylor expansion of re in im 2.048 * [taylor]: Taking taylor expansion of (* im im) in im 2.048 * [taylor]: Taking taylor expansion of im in im 2.048 * [taylor]: Taking taylor expansion of im in im 2.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.049 * [taylor]: Taking taylor expansion of 2.0 in im 2.051 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.051 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.051 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.052 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.052 * [taylor]: Taking taylor expansion of (* re re) in re 2.052 * [taylor]: Taking taylor expansion of re in re 2.052 * [taylor]: Taking taylor expansion of re in re 2.052 * [taylor]: Taking taylor expansion of (* im im) in re 2.052 * [taylor]: Taking taylor expansion of im in re 2.052 * [taylor]: Taking taylor expansion of im in re 2.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.053 * [taylor]: Taking taylor expansion of 2.0 in re 2.055 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.055 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.055 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.055 * [taylor]: Taking taylor expansion of re in re 2.056 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.056 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.056 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.056 * [taylor]: Taking taylor expansion of (* re re) in re 2.056 * [taylor]: Taking taylor expansion of re in re 2.056 * [taylor]: Taking taylor expansion of re in re 2.056 * [taylor]: Taking taylor expansion of (* im im) in re 2.056 * [taylor]: Taking taylor expansion of im in re 2.056 * [taylor]: Taking taylor expansion of im in re 2.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.057 * [taylor]: Taking taylor expansion of 2.0 in re 2.060 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 2.060 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.060 * [taylor]: Taking taylor expansion of 2.0 in im 2.060 * [taylor]: Taking taylor expansion of im in im 2.063 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 2.063 * [taylor]: Taking taylor expansion of 1/2 in im 2.063 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 2.063 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.063 * [taylor]: Taking taylor expansion of 2.0 in im 2.064 * [taylor]: Taking taylor expansion of im in im 2.073 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 2.073 * [taylor]: Taking taylor expansion of 1/8 in im 2.073 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 2.073 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 2.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.073 * [taylor]: Taking taylor expansion of 2.0 in im 2.074 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.074 * [taylor]: Taking taylor expansion of im in im 2.090 * [approximate]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0 2.090 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im 2.090 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 2.090 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.090 * [taylor]: Taking taylor expansion of re in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.090 * [taylor]: Taking taylor expansion of re in im 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.090 * [taylor]: Taking taylor expansion of im in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.090 * [taylor]: Taking taylor expansion of im in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.093 * [taylor]: Taking taylor expansion of re in im 2.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.093 * [taylor]: Taking taylor expansion of 2.0 in im 2.096 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 2.096 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 2.096 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.096 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.096 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.096 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.097 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.100 * [taylor]: Taking taylor expansion of 2.0 in re 2.103 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 2.103 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 2.103 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.103 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.104 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.104 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.104 * [taylor]: Taking taylor expansion of re in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.104 * [taylor]: Taking taylor expansion of re in re 2.104 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.104 * [taylor]: Taking taylor expansion of im in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.104 * [taylor]: Taking taylor expansion of im in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.107 * [taylor]: Taking taylor expansion of 2.0 in re 2.118 * [taylor]: Taking taylor expansion of 0 in im 2.118 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.118 * [taylor]: Taking taylor expansion of +nan.0 in im 2.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.118 * [taylor]: Taking taylor expansion of 2.0 in im 2.123 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 2.123 * [taylor]: Taking taylor expansion of +nan.0 in im 2.123 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.123 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.123 * [taylor]: Taking taylor expansion of 2.0 in im 2.133 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 2.133 * [taylor]: Taking taylor expansion of +nan.0 in im 2.133 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 2.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.133 * [taylor]: Taking taylor expansion of 1/2 in im 2.134 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.134 * [taylor]: Taking taylor expansion of 2.0 in im 2.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.134 * [taylor]: Taking taylor expansion of im in im 2.135 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 2.135 * [taylor]: Taking taylor expansion of +nan.0 in im 2.135 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.135 * [taylor]: Taking taylor expansion of 2.0 in im 2.152 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 2.152 * [taylor]: Taking taylor expansion of +nan.0 in im 2.152 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 2.152 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.152 * [taylor]: Taking taylor expansion of +nan.0 in im 2.152 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.152 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.152 * [taylor]: Taking taylor expansion of 2.0 in im 2.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.153 * [taylor]: Taking taylor expansion of im in im 2.155 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 2.155 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 2.155 * [taylor]: Taking taylor expansion of +nan.0 in im 2.155 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 2.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.155 * [taylor]: Taking taylor expansion of 2.0 in im 2.179 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.179 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.179 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.179 * [taylor]: Taking taylor expansion of 2.0 in im 2.180 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.180 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.180 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of re in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of re in im 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of im in im 2.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.181 * [taylor]: Taking taylor expansion of -1 in im 2.181 * [taylor]: Taking taylor expansion of im in im 2.184 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.184 * [taylor]: Taking taylor expansion of re in im 2.186 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.186 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.186 * [taylor]: Taking taylor expansion of 2.0 in re 2.187 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.187 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.187 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.187 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.187 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.187 * [taylor]: Taking taylor expansion of -1 in re 2.187 * [taylor]: Taking taylor expansion of re in re 2.187 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.187 * [taylor]: Taking taylor expansion of -1 in re 2.187 * [taylor]: Taking taylor expansion of re in re 2.188 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.188 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.188 * [taylor]: Taking taylor expansion of -1 in re 2.188 * [taylor]: Taking taylor expansion of im in re 2.188 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.188 * [taylor]: Taking taylor expansion of -1 in re 2.188 * [taylor]: Taking taylor expansion of im in re 2.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.206 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.207 * [taylor]: Taking taylor expansion of 2.0 in re 2.208 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.208 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.208 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.208 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.208 * [taylor]: Taking taylor expansion of -1 in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.208 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.209 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of im in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of im in re 2.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.212 * [taylor]: Taking taylor expansion of re in re 2.220 * [taylor]: Taking taylor expansion of 0 in im 2.220 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.220 * [taylor]: Taking taylor expansion of +nan.0 in im 2.220 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.220 * [taylor]: Taking taylor expansion of 2.0 in im 2.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.221 * [taylor]: Taking taylor expansion of im in im 2.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.229 * [taylor]: Taking taylor expansion of +nan.0 in im 2.229 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.229 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.229 * [taylor]: Taking taylor expansion of 2.0 in im 2.230 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.230 * [taylor]: Taking taylor expansion of im in im 2.252 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 2.252 * [taylor]: Taking taylor expansion of +nan.0 in im 2.252 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 2.252 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 2.252 * [taylor]: Taking taylor expansion of 1/8 in im 2.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.252 * [taylor]: Taking taylor expansion of 2.0 in im 2.253 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.253 * [taylor]: Taking taylor expansion of im in im 2.254 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 2.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 2.254 * [taylor]: Taking taylor expansion of +nan.0 in im 2.254 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 2.254 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.254 * [taylor]: Taking taylor expansion of 2.0 in im 2.254 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.254 * [taylor]: Taking taylor expansion of im in im 2.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.309 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.309 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.309 * [taylor]: Taking taylor expansion of re in im 2.309 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.309 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.309 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.309 * [taylor]: Taking taylor expansion of (* re re) in im 2.309 * [taylor]: Taking taylor expansion of re in im 2.309 * [taylor]: Taking taylor expansion of re in im 2.309 * [taylor]: Taking taylor expansion of (* im im) in im 2.309 * [taylor]: Taking taylor expansion of im in im 2.310 * [taylor]: Taking taylor expansion of im in im 2.311 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.311 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.311 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.311 * [taylor]: Taking taylor expansion of (* re re) in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [taylor]: Taking taylor expansion of (* im im) in re 2.311 * [taylor]: Taking taylor expansion of im in re 2.311 * [taylor]: Taking taylor expansion of im in re 2.312 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.312 * [taylor]: Taking taylor expansion of re in re 2.312 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.312 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.312 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.312 * [taylor]: Taking taylor expansion of (* re re) in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of (* im im) in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.314 * [taylor]: Taking taylor expansion of im in im 2.314 * [taylor]: Taking taylor expansion of 1 in im 2.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.316 * [taylor]: Taking taylor expansion of 1/2 in im 2.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.316 * [taylor]: Taking taylor expansion of im in im 2.318 * [taylor]: Taking taylor expansion of 0 in im 2.320 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.320 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.320 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.320 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.320 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.320 * [taylor]: Taking taylor expansion of re in im 2.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.320 * [taylor]: Taking taylor expansion of re in im 2.320 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.320 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.320 * [taylor]: Taking taylor expansion of im in im 2.320 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.320 * [taylor]: Taking taylor expansion of im in im 2.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.323 * [taylor]: Taking taylor expansion of re in im 2.323 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.323 * [taylor]: Taking taylor expansion of re in re 2.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.324 * [taylor]: Taking taylor expansion of re in re 2.324 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.324 * [taylor]: Taking taylor expansion of im in re 2.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.324 * [taylor]: Taking taylor expansion of im in re 2.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.327 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.327 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.330 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of 2 in im 2.332 * [taylor]: Taking taylor expansion of 0 in im 2.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.335 * [taylor]: Taking taylor expansion of 1/2 in im 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.335 * [taylor]: Taking taylor expansion of im in im 2.340 * [taylor]: Taking taylor expansion of 0 in im 2.341 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.341 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.341 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.341 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.341 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.341 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.342 * [taylor]: Taking taylor expansion of -1 in im 2.342 * [taylor]: Taking taylor expansion of re in im 2.342 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.342 * [taylor]: Taking taylor expansion of -1 in im 2.342 * [taylor]: Taking taylor expansion of re in im 2.342 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.342 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.342 * [taylor]: Taking taylor expansion of -1 in im 2.342 * [taylor]: Taking taylor expansion of im in im 2.342 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.342 * [taylor]: Taking taylor expansion of -1 in im 2.342 * [taylor]: Taking taylor expansion of im in im 2.345 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.345 * [taylor]: Taking taylor expansion of re in im 2.345 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.345 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.345 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.345 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.345 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.345 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.345 * [taylor]: Taking taylor expansion of -1 in re 2.345 * [taylor]: Taking taylor expansion of re in re 2.346 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.346 * [taylor]: Taking taylor expansion of -1 in re 2.346 * [taylor]: Taking taylor expansion of re in re 2.346 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.346 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.346 * [taylor]: Taking taylor expansion of -1 in re 2.346 * [taylor]: Taking taylor expansion of im in re 2.346 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.346 * [taylor]: Taking taylor expansion of -1 in re 2.346 * [taylor]: Taking taylor expansion of im in re 2.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.349 * [taylor]: Taking taylor expansion of re in re 2.349 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.349 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.349 * [taylor]: Taking taylor expansion of -1 in re 2.349 * [taylor]: Taking taylor expansion of re in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of re in re 2.350 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of im in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of im in re 2.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.353 * [taylor]: Taking taylor expansion of 0 in im 2.354 * [taylor]: Taking taylor expansion of 0 in im 2.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.358 * [taylor]: Taking taylor expansion of 1/2 in im 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.358 * [taylor]: Taking taylor expansion of im in im 2.363 * [taylor]: Taking taylor expansion of 0 in im 2.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.365 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 2.365 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.365 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.365 * [taylor]: Taking taylor expansion of re in im 2.365 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.365 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.365 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.365 * [taylor]: Taking taylor expansion of (* re re) in im 2.365 * [taylor]: Taking taylor expansion of re in im 2.365 * [taylor]: Taking taylor expansion of re in im 2.365 * [taylor]: Taking taylor expansion of (* im im) in im 2.365 * [taylor]: Taking taylor expansion of im in im 2.365 * [taylor]: Taking taylor expansion of im in im 2.367 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.367 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.367 * [taylor]: Taking taylor expansion of re in re 2.367 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.367 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.367 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.367 * [taylor]: Taking taylor expansion of (* re re) in re 2.367 * [taylor]: Taking taylor expansion of re in re 2.367 * [taylor]: Taking taylor expansion of re in re 2.367 * [taylor]: Taking taylor expansion of (* im im) in re 2.367 * [taylor]: Taking taylor expansion of im in re 2.367 * [taylor]: Taking taylor expansion of im in re 2.368 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.368 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.368 * [taylor]: Taking taylor expansion of re in re 2.368 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.369 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.369 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.369 * [taylor]: Taking taylor expansion of (* re re) in re 2.369 * [taylor]: Taking taylor expansion of re in re 2.369 * [taylor]: Taking taylor expansion of re in re 2.369 * [taylor]: Taking taylor expansion of (* im im) in re 2.369 * [taylor]: Taking taylor expansion of im in re 2.369 * [taylor]: Taking taylor expansion of im in re 2.370 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.370 * [taylor]: Taking taylor expansion of im in im 2.371 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.371 * [taylor]: Taking taylor expansion of 1/2 in im 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.371 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.372 * [taylor]: Taking taylor expansion of im in im 2.376 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.376 * [taylor]: Taking taylor expansion of 1/8 in im 2.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.376 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.376 * [taylor]: Taking taylor expansion of im in im 2.390 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.390 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.390 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.391 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.391 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.391 * [taylor]: Taking taylor expansion of re in im 2.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.391 * [taylor]: Taking taylor expansion of re in im 2.391 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.391 * [taylor]: Taking taylor expansion of im in im 2.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.391 * [taylor]: Taking taylor expansion of im in im 2.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.394 * [taylor]: Taking taylor expansion of re in im 2.395 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.395 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.395 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.395 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.395 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.395 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.396 * [taylor]: Taking taylor expansion of re in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.396 * [taylor]: Taking taylor expansion of re in re 2.396 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.396 * [taylor]: Taking taylor expansion of im in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.396 * [taylor]: Taking taylor expansion of im in re 2.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.399 * [taylor]: Taking taylor expansion of re in re 2.400 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.400 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.400 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.400 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.400 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.400 * [taylor]: Taking taylor expansion of re in re 2.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.401 * [taylor]: Taking taylor expansion of re in re 2.401 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.401 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.401 * [taylor]: Taking taylor expansion of im in re 2.401 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.401 * [taylor]: Taking taylor expansion of im in re 2.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.404 * [taylor]: Taking taylor expansion of re in re 2.405 * [taylor]: Taking taylor expansion of 0 in im 2.406 * [taylor]: Taking taylor expansion of +nan.0 in im 2.408 * [taylor]: Taking taylor expansion of +nan.0 in im 2.413 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.413 * [taylor]: Taking taylor expansion of +nan.0 in im 2.413 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.413 * [taylor]: Taking taylor expansion of 1/2 in im 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.413 * [taylor]: Taking taylor expansion of im in im 2.413 * [taylor]: Taking taylor expansion of +nan.0 in im 2.420 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.420 * [taylor]: Taking taylor expansion of +nan.0 in im 2.420 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.420 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.420 * [taylor]: Taking taylor expansion of +nan.0 in im 2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.420 * [taylor]: Taking taylor expansion of im in im 2.420 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.420 * [taylor]: Taking taylor expansion of +nan.0 in im 2.427 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.427 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.427 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.427 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.427 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.427 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.427 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.427 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.427 * [taylor]: Taking taylor expansion of -1 in im 2.427 * [taylor]: Taking taylor expansion of re in im 2.427 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.427 * [taylor]: Taking taylor expansion of -1 in im 2.428 * [taylor]: Taking taylor expansion of re in im 2.428 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.428 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.428 * [taylor]: Taking taylor expansion of -1 in im 2.428 * [taylor]: Taking taylor expansion of im in im 2.428 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.428 * [taylor]: Taking taylor expansion of -1 in im 2.428 * [taylor]: Taking taylor expansion of im in im 2.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.431 * [taylor]: Taking taylor expansion of re in im 2.432 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.432 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.432 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.432 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.433 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.433 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.433 * [taylor]: Taking taylor expansion of -1 in re 2.433 * [taylor]: Taking taylor expansion of re in re 2.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.433 * [taylor]: Taking taylor expansion of -1 in re 2.433 * [taylor]: Taking taylor expansion of re in re 2.433 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.433 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.433 * [taylor]: Taking taylor expansion of -1 in re 2.433 * [taylor]: Taking taylor expansion of im in re 2.433 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.433 * [taylor]: Taking taylor expansion of -1 in re 2.433 * [taylor]: Taking taylor expansion of im in re 2.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.436 * [taylor]: Taking taylor expansion of re in re 2.442 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.442 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.442 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.442 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.442 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.442 * [taylor]: Taking taylor expansion of -1 in re 2.442 * [taylor]: Taking taylor expansion of re in re 2.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.442 * [taylor]: Taking taylor expansion of -1 in re 2.442 * [taylor]: Taking taylor expansion of re in re 2.442 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.442 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.442 * [taylor]: Taking taylor expansion of -1 in re 2.443 * [taylor]: Taking taylor expansion of im in re 2.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.443 * [taylor]: Taking taylor expansion of -1 in re 2.443 * [taylor]: Taking taylor expansion of im in re 2.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.446 * [taylor]: Taking taylor expansion of re in re 2.451 * [taylor]: Taking taylor expansion of 0 in im 2.452 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.452 * [taylor]: Taking taylor expansion of +nan.0 in im 2.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.452 * [taylor]: Taking taylor expansion of im in im 2.457 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.457 * [taylor]: Taking taylor expansion of +nan.0 in im 2.457 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.457 * [taylor]: Taking taylor expansion of im in im 2.468 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 2.468 * [taylor]: Taking taylor expansion of +nan.0 in im 2.468 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 2.468 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.468 * [taylor]: Taking taylor expansion of 1/8 in im 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.468 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.468 * [taylor]: Taking taylor expansion of im in im 2.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 2.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.469 * [taylor]: Taking taylor expansion of +nan.0 in im 2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.469 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.469 * [taylor]: Taking taylor expansion of im in im 2.500 * * * [progress]: simplifying candidates 2.502 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ re (hypot re im)))) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im)))))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ re (hypot re im)))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (+ re (hypot re im))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (+ re (hypot re im))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 2.508 * * [simplify]: iteration 0 : 405 enodes (cost 828 ) 2.515 * * [simplify]: iteration 1 : 1591 enodes (cost 742 ) 2.543 * * [simplify]: iteration 2 : 5002 enodes (cost 725 ) 2.547 * [simplify]: Simplified to: (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (pow (exp (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (+ re (hypot re im))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (sqrt 2.0) (+ re (hypot re im))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (hypot (pow (hypot re im) 3/2) (pow re 3/2))) (* (sqrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma (- +nan.0) (* (* 2.0 re) re) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (fma +nan.0 (/ 2.0 re) (- (* +nan.0 (sqrt 2.0))))) 0 (+ re im) (* 2 re) 0 (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 2.548 * * * [progress]: adding candidates to table 2.874 * [progress]: [Phase 3 of 3] Extracting. 2.874 * * [regime]: Finding splitpoints for: (# # # # # #) 2.875 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.875 * * * * [regimes]: Trying to branch on im from (# # # # # #) 2.914 * * * * [regimes]: Trying to branch on re from (# # # # # #) 2.961 * * * [regime]: Found split indices: #