50.593 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 0.035 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.036 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.060 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.072 * [taylor]: Taking taylor expansion of re 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 (sqrt (+ (pow re 2) (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.076 * [taylor]: Taking taylor expansion of 1/2 in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 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 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.085 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of 1 in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.095 * [taylor]: Taking taylor expansion of re in im 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.100 * [taylor]: Taking taylor expansion of im in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.103 * [taylor]: Taking taylor expansion of 1 in im 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of 1/2 in im 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.110 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.110 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of 2 in im 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.165 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.166 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.166 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.166 * [taylor]: Taking taylor expansion of 2.0 in im 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.166 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.167 * [taylor]: Taking taylor expansion of 2.0 in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.168 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.169 * [taylor]: Taking taylor expansion of 2.0 in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.170 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.170 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.171 * [taylor]: Taking taylor expansion of 2.0 in im 0.172 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.174 * [taylor]: Taking taylor expansion of 2.0 in im 0.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.187 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.187 * [taylor]: Taking taylor expansion of 1/8 in im 0.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.187 * [taylor]: Taking taylor expansion of 2.0 in im 0.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.188 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.204 * [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 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.204 * [taylor]: Taking taylor expansion of 2.0 in im 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.209 * [taylor]: Taking taylor expansion of 2.0 in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.214 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.214 * [taylor]: Taking taylor expansion of 2.0 in re 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.219 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.221 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.221 * [taylor]: Taking taylor expansion of +nan.0 in im 0.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.221 * [taylor]: Taking taylor expansion of 2.0 in im 0.232 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.232 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.232 * [taylor]: Taking taylor expansion of +nan.0 in im 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.233 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.241 * [taylor]: Taking taylor expansion of +nan.0 in im 0.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.243 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.243 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.243 * [taylor]: Taking taylor expansion of +nan.0 in im 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.243 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.254 * [taylor]: Taking taylor expansion of +nan.0 in im 0.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.254 * [taylor]: Taking taylor expansion of 2.0 in im 0.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.270 * [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 0.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.270 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.273 * [taylor]: Taking taylor expansion of re in im 0.275 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.275 * [taylor]: Taking taylor expansion of 2.0 in re 0.276 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.276 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.278 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.283 * [taylor]: Taking taylor expansion of 2.0 in re 0.284 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.284 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.284 * [taylor]: Taking taylor expansion of im in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.284 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.292 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.293 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.301 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.301 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.301 * [taylor]: Taking taylor expansion of +nan.0 in im 0.301 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.301 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.325 * [taylor]: Taking taylor expansion of +nan.0 in im 0.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.325 * [taylor]: Taking taylor expansion of 2.0 in im 0.326 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.326 * [taylor]: Taking taylor expansion of im in im 0.327 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.327 * [taylor]: Taking taylor expansion of +nan.0 in im 0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.327 * [taylor]: Taking taylor expansion of 2.0 in im 0.328 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.351 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.351 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [taylor]: Taking taylor expansion of 1 in im 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.357 * [taylor]: Taking taylor expansion of re in re 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of 1 in im 0.360 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.366 * [taylor]: Taking taylor expansion of 0 in im 0.367 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.368 * [taylor]: Taking taylor expansion of re in im 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of 1 in im 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.372 * [taylor]: Taking taylor expansion of im in im 0.374 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.379 * * * [progress]: simplifying candidates 0.380 * [simplify]: Simplifying using # : (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))) (+ (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 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (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)) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) 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 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.383 * * [simplify]: iteration 0 : 190 enodes (cost 183 ) 0.387 * * [simplify]: iteration 1 : 644 enodes (cost 170 ) 0.398 * * [simplify]: iteration 2 : 2010 enodes (cost 160 ) 0.441 * * [simplify]: iteration 3 : 5002 enodes (cost 158 ) 0.443 * [simplify]: Simplified to: (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))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (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)) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- im re) (pow re 2))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.443 * * * [progress]: adding candidates to table 0.522 * * [progress]: iteration 2 / 4 0.522 * * * [progress]: picking best candidate 0.531 * * * * [pick]: Picked # 0.531 * * * [progress]: localizing error 0.545 * * * [progress]: generating rewritten candidates 0.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.557 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.572 * * * [progress]: generating series expansions 0.572 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.572 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.572 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.572 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.572 * [taylor]: Taking taylor expansion of re in im 0.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.572 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.573 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.573 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.573 * [taylor]: Taking taylor expansion of re in re 0.573 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.573 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.574 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.574 * [taylor]: Taking taylor expansion of re in re 0.574 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.574 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of im in im 0.574 * [taylor]: Taking taylor expansion of 0 in im 0.576 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.576 * [taylor]: Taking taylor expansion of 1/2 in im 0.576 * [taylor]: Taking taylor expansion of im in im 0.578 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.579 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.579 * [taylor]: Taking taylor expansion of im in im 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.579 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.579 * [taylor]: Taking taylor expansion of re in im 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.581 * [taylor]: Taking taylor expansion of im in re 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.584 * [taylor]: Taking taylor expansion of im in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.587 * [taylor]: Taking taylor expansion of 1 in im 0.587 * [taylor]: Taking taylor expansion of 0 in im 0.589 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.589 * [taylor]: Taking taylor expansion of 1/2 in im 0.589 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.589 * [taylor]: Taking taylor expansion of im in im 0.592 * [taylor]: Taking taylor expansion of 0 in im 0.594 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.594 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.594 * [taylor]: Taking taylor expansion of im in im 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.594 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.594 * [taylor]: Taking taylor expansion of re in im 0.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.596 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.596 * [taylor]: Taking taylor expansion of im in re 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.597 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.599 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.599 * [taylor]: Taking taylor expansion of im in re 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.599 * [taylor]: Taking taylor expansion of re in re 0.602 * [taylor]: Taking taylor expansion of 1 in im 0.602 * [taylor]: Taking taylor expansion of 0 in im 0.604 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.604 * [taylor]: Taking taylor expansion of 1/2 in im 0.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.608 * [taylor]: Taking taylor expansion of 0 in im 0.609 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.609 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0 0.609 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.609 * [taylor]: Taking taylor expansion of im in re 0.609 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.609 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.609 * [taylor]: Taking taylor expansion of im in re 0.610 * [taylor]: Taking taylor expansion of re in re 0.610 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.610 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.610 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.610 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.610 * [taylor]: Taking taylor expansion of re in im 0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.615 * [taylor]: Taking taylor expansion of re in im 0.618 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.618 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (* 2 re) in re 0.621 * [taylor]: Taking taylor expansion of 2 in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of 0 in re 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 0.627 * [taylor]: Taking taylor expansion of 1/2 in re 0.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of 0 in re 0.633 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 0.634 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 0.634 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.642 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.642 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.642 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.645 * [taylor]: Taking taylor expansion of re in im 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.646 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.646 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.646 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.646 * [taylor]: Taking taylor expansion of im in im 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.649 * [taylor]: Taking taylor expansion of re in im 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.650 * [taylor]: Taking taylor expansion of 1 in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.655 * [taylor]: Taking taylor expansion of 1/2 in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.662 * [taylor]: Taking taylor expansion of 0 in re 0.664 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 0.664 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 0.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.671 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.672 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of 1 in re 0.676 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.676 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.676 * [taylor]: Taking taylor expansion of re in re 0.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.681 * [taylor]: Taking taylor expansion of 1/2 in re 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.681 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.681 * [taylor]: Taking taylor expansion of re in re 0.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.686 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 0.686 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 0.686 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.686 * [taylor]: Taking taylor expansion of 2.0 in re 0.687 * [taylor]: Taking taylor expansion of im in re 0.687 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.687 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.687 * [taylor]: Taking taylor expansion of im in re 0.688 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 0.689 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.689 * [taylor]: Taking taylor expansion of 2.0 in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.689 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.689 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.689 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.689 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.689 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.690 * [taylor]: Taking taylor expansion of im in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.694 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 0.694 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.694 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.694 * [taylor]: Taking taylor expansion of 2.0 in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.695 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.695 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.700 * [taylor]: Taking taylor expansion of 0 in re 0.707 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 0.708 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.708 * [taylor]: Taking taylor expansion of 2.0 in re 0.708 * [taylor]: Taking taylor expansion of (sqrt 2) in re 0.708 * [taylor]: Taking taylor expansion of 2 in re 0.709 * [taylor]: Taking taylor expansion of (sqrt re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of 0 in re 0.731 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 0.731 * [taylor]: Taking taylor expansion of 1/4 in re 0.731 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 0.731 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 0.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.731 * [taylor]: Taking taylor expansion of 2.0 in re 0.732 * [taylor]: Taking taylor expansion of (sqrt 2) in re 0.732 * [taylor]: Taking taylor expansion of 2 in re 0.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.733 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.767 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 0.767 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.767 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.767 * [taylor]: Taking taylor expansion of 2.0 in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.768 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.768 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.768 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.776 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.776 * [taylor]: Taking taylor expansion of 2.0 in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.778 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.781 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.781 * [taylor]: Taking taylor expansion of re in im 0.782 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.782 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.782 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.784 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.788 * [taylor]: Taking taylor expansion of 0 in re 0.790 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.790 * [taylor]: Taking taylor expansion of +nan.0 in re 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.790 * [taylor]: Taking taylor expansion of 2.0 in re 0.801 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.801 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.801 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.801 * [taylor]: Taking taylor expansion of +nan.0 in re 0.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.801 * [taylor]: Taking taylor expansion of 2.0 in re 0.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.802 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.802 * [taylor]: Taking taylor expansion of +nan.0 in re 0.802 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.802 * [taylor]: Taking taylor expansion of 2.0 in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.816 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.816 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.816 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.816 * [taylor]: Taking taylor expansion of +nan.0 in re 0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.816 * [taylor]: Taking taylor expansion of 2.0 in re 0.817 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.817 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.817 * [taylor]: Taking taylor expansion of +nan.0 in re 0.817 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.817 * [taylor]: Taking taylor expansion of 2.0 in re 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.819 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.819 * [taylor]: Taking taylor expansion of +nan.0 in re 0.819 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.819 * [taylor]: Taking taylor expansion of 2.0 in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.834 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 0.834 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.834 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.834 * [taylor]: Taking taylor expansion of 2.0 in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.835 * [taylor]: Taking taylor expansion of re in re 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.835 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.835 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.835 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.835 * [taylor]: Taking taylor expansion of re in re 0.839 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.839 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.839 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.841 * [taylor]: Taking taylor expansion of re in im 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.841 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.841 * [taylor]: Taking taylor expansion of re in im 0.845 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.845 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.845 * [taylor]: Taking taylor expansion of 2.0 in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.846 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.847 * [taylor]: Taking taylor expansion of re in im 0.851 * [taylor]: Taking taylor expansion of 0 in re 0.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.853 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.853 * [taylor]: Taking taylor expansion of +nan.0 in re 0.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.853 * [taylor]: Taking taylor expansion of 2.0 in re 0.860 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.860 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.860 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.860 * [taylor]: Taking taylor expansion of +nan.0 in re 0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.860 * [taylor]: Taking taylor expansion of 2.0 in re 0.860 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.860 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.861 * [taylor]: Taking taylor expansion of +nan.0 in re 0.861 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.861 * [taylor]: Taking taylor expansion of 2.0 in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.874 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.874 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.874 * [taylor]: Taking taylor expansion of +nan.0 in re 0.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.874 * [taylor]: Taking taylor expansion of 2.0 in re 0.874 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.874 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.874 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.875 * [taylor]: Taking taylor expansion of +nan.0 in re 0.875 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.875 * [taylor]: Taking taylor expansion of 2.0 in re 0.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.876 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.876 * [taylor]: Taking taylor expansion of +nan.0 in re 0.876 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.876 * [taylor]: Taking taylor expansion of 2.0 in re 0.877 * [taylor]: Taking taylor expansion of re in re 0.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.896 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.896 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.897 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.897 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.897 * [taylor]: Taking taylor expansion of re in im 0.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.897 * [taylor]: Taking taylor expansion of im in im 0.897 * [taylor]: Taking taylor expansion of re in im 0.897 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.897 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.897 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [taylor]: Taking taylor expansion of -1 in im 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.901 * [taylor]: Taking taylor expansion of 1/2 in im 0.901 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.901 * [taylor]: Taking taylor expansion of im in im 0.904 * [taylor]: Taking taylor expansion of 0 in im 0.905 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.905 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.906 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.908 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.908 * [taylor]: Taking taylor expansion of re in im 0.908 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.908 * [taylor]: Taking taylor expansion of im in re 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.908 * [taylor]: Taking taylor expansion of re in re 0.911 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.911 * [taylor]: Taking taylor expansion of re in re 0.911 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.911 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.911 * [taylor]: Taking taylor expansion of im in re 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.911 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.911 * [taylor]: Taking taylor expansion of re in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [taylor]: Taking taylor expansion of 0 in im 0.915 * [taylor]: Taking taylor expansion of 0 in im 0.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.918 * [taylor]: Taking taylor expansion of 1/2 in im 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.918 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.922 * [taylor]: Taking taylor expansion of 0 in im 0.924 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.924 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.924 * [taylor]: Taking taylor expansion of re in im 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.925 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.925 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.925 * [taylor]: Taking taylor expansion of re in im 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.927 * [taylor]: Taking taylor expansion of re in re 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.928 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.928 * [taylor]: Taking taylor expansion of im in re 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.928 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.928 * [taylor]: Taking taylor expansion of re in re 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.930 * [taylor]: Taking taylor expansion of re in re 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.930 * [taylor]: Taking taylor expansion of im in re 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.931 * [taylor]: Taking taylor expansion of re in re 0.933 * [taylor]: Taking taylor expansion of 2 in im 0.934 * [taylor]: Taking taylor expansion of 0 in im 0.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.937 * [taylor]: Taking taylor expansion of 1/2 in im 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.937 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.941 * [taylor]: Taking taylor expansion of 0 in im 0.943 * * * [progress]: simplifying candidates 0.944 * [simplify]: Simplifying using # : (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))) (- (pow im 2)) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (- (sqrt (+ (* re re) (* im im))) re) im) (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im (/ 2 2))) (/ (pow im 2) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt 2.0) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (/ 1 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (/ (pow im 2) (- (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 (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))) (sqrt (* 2.0 (pow im 2))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow im 2)))) (sqrt (- (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 1)) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))) (sqrt (* 2.0 im)) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im (/ 2 2)))) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 0.948 * * [simplify]: iteration 0 : 278 enodes (cost 306 ) 0.953 * * [simplify]: iteration 1 : 974 enodes (cost 288 ) 0.972 * * [simplify]: iteration 2 : 4049 enodes (cost 276 ) 1.065 * * [simplify]: iteration 3 : 5001 enodes (cost 276 ) 1.067 * [simplify]: Simplified to: (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))) (- (pow im 2)) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (- (sqrt (+ (* re re) (* im im))) re) im) (/ (- (sqrt (+ (* re re) (* im im))) re) im) (/ (pow im 2) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ im (/ (+ (pow re 2) (- (pow im 2) (pow re 2))) im)) (sqrt 2.0) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (/ 1 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (/ (pow im 2) (- (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 (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))) (sqrt (* 2.0 (pow im 2))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow im 2)))) (sqrt (- (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))) (sqrt (* 2.0 im)) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (sqrt (* 2.0 im)) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re) (* -1 re) im re (* -1 re) (* 2 re) (+ re im) 0 (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (* +nan.0 (+ (- (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) 1.067 * * * [progress]: adding candidates to table 1.179 * * [progress]: iteration 3 / 4 1.179 * * * [progress]: picking best candidate 1.195 * * * * [pick]: Picked # 1.195 * * * [progress]: localizing error 1.211 * * * [progress]: generating rewritten candidates 1.211 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.228 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 1.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.244 * * * [progress]: generating series expansions 1.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 1.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.244 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.244 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.244 * [taylor]: Taking taylor expansion of re in im 1.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.245 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.246 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.246 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of 0 in im 1.248 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.248 * [taylor]: Taking taylor expansion of 1/2 in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of 0 in im 1.251 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.251 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.251 * [taylor]: Taking taylor expansion of re in im 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.254 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.257 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of 1 in im 1.259 * [taylor]: Taking taylor expansion of 0 in im 1.261 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.261 * [taylor]: Taking taylor expansion of 1/2 in im 1.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.265 * [taylor]: Taking taylor expansion of 0 in im 1.266 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.267 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.267 * [taylor]: Taking taylor expansion of re in im 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.274 * [taylor]: Taking taylor expansion of 1 in im 1.274 * [taylor]: Taking taylor expansion of 0 in im 1.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.276 * [taylor]: Taking taylor expansion of 1/2 in im 1.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of 0 in im 1.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.282 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 1.282 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 1.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.282 * [taylor]: Taking taylor expansion of 2.0 in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.282 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.282 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.283 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.284 * [taylor]: Taking taylor expansion of 2.0 in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.285 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.285 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.285 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.285 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.285 * [taylor]: Taking taylor expansion of re in im 1.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.290 * [taylor]: Taking taylor expansion of 2.0 in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.290 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.290 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.290 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.295 * [taylor]: Taking taylor expansion of 0 in re 1.298 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.298 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.298 * [taylor]: Taking taylor expansion of 2.0 in re 1.298 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.298 * [taylor]: Taking taylor expansion of 2 in re 1.299 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.307 * [taylor]: Taking taylor expansion of 0 in re 1.326 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.326 * [taylor]: Taking taylor expansion of 1/4 in re 1.326 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.326 * [taylor]: Taking taylor expansion of 2.0 in re 1.327 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.327 * [taylor]: Taking taylor expansion of 2 in re 1.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.329 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.362 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.363 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.363 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.363 * [taylor]: Taking taylor expansion of 2.0 in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.364 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.364 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.364 * [taylor]: Taking taylor expansion of im in re 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.364 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.371 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.371 * [taylor]: Taking taylor expansion of 2.0 in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.373 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.373 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.373 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.379 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.379 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.379 * [taylor]: Taking taylor expansion of 2.0 in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.380 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.383 * [taylor]: Taking taylor expansion of re in im 1.385 * [taylor]: Taking taylor expansion of 0 in re 1.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.387 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.387 * [taylor]: Taking taylor expansion of +nan.0 in re 1.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.387 * [taylor]: Taking taylor expansion of 2.0 in re 1.390 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.390 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.390 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.390 * [taylor]: Taking taylor expansion of +nan.0 in re 1.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.390 * [taylor]: Taking taylor expansion of 2.0 in re 1.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.391 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.391 * [taylor]: Taking taylor expansion of +nan.0 in re 1.391 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.391 * [taylor]: Taking taylor expansion of 2.0 in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.405 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.405 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.405 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.405 * [taylor]: Taking taylor expansion of +nan.0 in re 1.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.405 * [taylor]: Taking taylor expansion of 2.0 in re 1.412 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.412 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.412 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.412 * [taylor]: Taking taylor expansion of +nan.0 in re 1.412 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.412 * [taylor]: Taking taylor expansion of 2.0 in re 1.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.414 * [taylor]: Taking taylor expansion of +nan.0 in re 1.414 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.414 * [taylor]: Taking taylor expansion of 2.0 in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.428 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.428 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.428 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.428 * [taylor]: Taking taylor expansion of 2.0 in re 1.429 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.429 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.429 * [taylor]: Taking taylor expansion of im in re 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.433 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.433 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.433 * [taylor]: Taking taylor expansion of 2.0 in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.435 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.435 * [taylor]: Taking taylor expansion of re in im 1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.435 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.435 * [taylor]: Taking taylor expansion of im in im 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.435 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.435 * [taylor]: Taking taylor expansion of re in im 1.439 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.439 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.439 * [taylor]: Taking taylor expansion of 2.0 in im 1.440 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.440 * [taylor]: Taking taylor expansion of re in im 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.440 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.440 * [taylor]: Taking taylor expansion of im in im 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.441 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.441 * [taylor]: Taking taylor expansion of re in im 1.445 * [taylor]: Taking taylor expansion of 0 in re 1.447 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.447 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.447 * [taylor]: Taking taylor expansion of +nan.0 in re 1.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.447 * [taylor]: Taking taylor expansion of 2.0 in re 1.453 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.453 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.453 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.453 * [taylor]: Taking taylor expansion of +nan.0 in re 1.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.453 * [taylor]: Taking taylor expansion of 2.0 in re 1.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.454 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.454 * [taylor]: Taking taylor expansion of +nan.0 in re 1.454 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.454 * [taylor]: Taking taylor expansion of 2.0 in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.467 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.467 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.467 * [taylor]: Taking taylor expansion of +nan.0 in re 1.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.467 * [taylor]: Taking taylor expansion of 2.0 in re 1.467 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.467 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.467 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.467 * [taylor]: Taking taylor expansion of +nan.0 in re 1.468 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.468 * [taylor]: Taking taylor expansion of 2.0 in re 1.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.468 * [taylor]: Taking taylor expansion of re in re 1.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.469 * [taylor]: Taking taylor expansion of +nan.0 in re 1.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.469 * [taylor]: Taking taylor expansion of 2.0 in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 1.483 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.483 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.483 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.483 * [taylor]: Taking taylor expansion of re in im 1.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.483 * [taylor]: Taking taylor expansion of im in im 1.484 * [taylor]: Taking taylor expansion of re in im 1.484 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.484 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.484 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.485 * [taylor]: Taking taylor expansion of im in im 1.486 * [taylor]: Taking taylor expansion of -1 in im 1.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.487 * [taylor]: Taking taylor expansion of 1/2 in im 1.487 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.487 * [taylor]: Taking taylor expansion of im in im 1.490 * [taylor]: Taking taylor expansion of 0 in im 1.491 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.491 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.492 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.492 * [taylor]: Taking taylor expansion of im in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.492 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.492 * [taylor]: Taking taylor expansion of re in im 1.494 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.494 * [taylor]: Taking taylor expansion of re in im 1.494 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.494 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.494 * [taylor]: Taking taylor expansion of im in re 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.495 * [taylor]: Taking taylor expansion of re in re 1.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.504 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.507 * [taylor]: Taking taylor expansion of 0 in im 1.508 * [taylor]: Taking taylor expansion of 0 in im 1.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.511 * [taylor]: Taking taylor expansion of 1/2 in im 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.511 * [taylor]: Taking taylor expansion of im in im 1.516 * [taylor]: Taking taylor expansion of 0 in im 1.517 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.518 * [taylor]: Taking taylor expansion of re in im 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.518 * [taylor]: Taking taylor expansion of im in im 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.518 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.518 * [taylor]: Taking taylor expansion of re in im 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.521 * [taylor]: Taking taylor expansion of im in re 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.521 * [taylor]: Taking taylor expansion of re in re 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.523 * [taylor]: Taking taylor expansion of re in re 1.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.526 * [taylor]: Taking taylor expansion of 2 in im 1.527 * [taylor]: Taking taylor expansion of 0 in im 1.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.530 * [taylor]: Taking taylor expansion of 1/2 in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.530 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of 0 in im 1.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.537 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0 1.537 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.537 * [taylor]: Taking taylor expansion of im in re 1.537 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.537 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.537 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.537 * [taylor]: Taking taylor expansion of re in re 1.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.537 * [taylor]: Taking taylor expansion of im in re 1.537 * [taylor]: Taking taylor expansion of re in re 1.538 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.538 * [taylor]: Taking taylor expansion of im in im 1.538 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.538 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.538 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.538 * [taylor]: Taking taylor expansion of re in im 1.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.538 * [taylor]: Taking taylor expansion of im in im 1.539 * [taylor]: Taking taylor expansion of re in im 1.541 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.541 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.541 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.541 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.541 * [taylor]: Taking taylor expansion of re in im 1.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.542 * [taylor]: Taking taylor expansion of re in im 1.544 * [taylor]: Taking taylor expansion of (* 2 re) in re 1.544 * [taylor]: Taking taylor expansion of 2 in re 1.544 * [taylor]: Taking taylor expansion of re in re 1.546 * [taylor]: Taking taylor expansion of 0 in re 1.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 1.550 * [taylor]: Taking taylor expansion of 1/2 in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.555 * [taylor]: Taking taylor expansion of 0 in re 1.557 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 1.557 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 1.557 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 1.557 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.557 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.566 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.566 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.566 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.566 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.566 * [taylor]: Taking taylor expansion of im in im 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.566 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.566 * [taylor]: Taking taylor expansion of re in im 1.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.568 * [taylor]: Taking taylor expansion of re in im 1.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.570 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.570 * [taylor]: Taking taylor expansion of re in im 1.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.572 * [taylor]: Taking taylor expansion of re in im 1.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.572 * [taylor]: Taking taylor expansion of im in im 1.573 * [taylor]: Taking taylor expansion of 1 in re 1.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.578 * [taylor]: Taking taylor expansion of 1/2 in re 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.578 * [taylor]: Taking taylor expansion of re in re 1.585 * [taylor]: Taking taylor expansion of 0 in re 1.791 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 1.791 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 1.791 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.792 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.792 * [taylor]: Taking taylor expansion of im in re 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.792 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.792 * [taylor]: Taking taylor expansion of re in re 1.794 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.794 * [taylor]: Taking taylor expansion of im in re 1.795 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.795 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.795 * [taylor]: Taking taylor expansion of re in im 1.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.795 * [taylor]: Taking taylor expansion of im in im 1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.796 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.796 * [taylor]: Taking taylor expansion of re in im 1.798 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.798 * [taylor]: Taking taylor expansion of im in im 1.799 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.799 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.799 * [taylor]: Taking taylor expansion of re in im 1.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.799 * [taylor]: Taking taylor expansion of im in im 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.799 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.799 * [taylor]: Taking taylor expansion of re in im 1.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.803 * [taylor]: Taking taylor expansion of 1 in re 1.804 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.804 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.804 * [taylor]: Taking taylor expansion of re in re 1.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.809 * [taylor]: Taking taylor expansion of 1/2 in re 1.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.809 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.813 * * * [progress]: simplifying candidates 1.814 * [simplify]: Simplifying using # : (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))) (sqrt 2.0) (sqrt (/ (pow im (/ 2 2)) (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (* 2.0 (/ (pow im (/ (/ 2 2) 2)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (pow im (/ (/ 2 2) 2)) (/ 1 im))) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (/ 1 (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt im) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (- (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (- im)) (sqrt (* 2.0 (/ (pow im (/ 2 2)) 1))) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (sqrt (* im (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (* im (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im (/ 2 2)) (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im (/ 2 2)))) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (sqrt (* 2.0 (- (pow im (/ 2 2))))) (sqrt (- (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (* 2.0 1)) (sqrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im (/ 2 2)))) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ 1 im)) (sqrt (* 2.0 (pow im (/ (/ 2 2) 2)))) (sqrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im (/ (/ 2 2) 2)))) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (- re) (- (pow im (/ 2 2))) (- (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow im (/ (/ 2 2) 2)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ (/ 2 2) 2)) (/ 1 im)) (/ 1 (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im (/ 2 2))) (/ (pow im (/ 2 2)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im (/ (/ 2 2) 2))) (/ (pow im (/ 2 2)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) (- (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im (/ 2 2)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) im re (* -1 re) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) (* 2 re) (+ re im) 0 1.819 * * [simplify]: iteration 0 : 327 enodes (cost 392 ) 1.825 * * [simplify]: iteration 1 : 1265 enodes (cost 372 ) 1.852 * * [simplify]: iteration 2 : 5001 enodes (cost 367 ) 1.854 * [simplify]: Simplified to: (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))) (sqrt 2.0) (sqrt (/ (pow im 1) (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (* 2.0 (/ (pow im 1/2) (- (sqrt (+ (* re re) (* im im))) re)))) (fabs (pow (pow im 1/4) 3)) (sqrt (* 2.0 (pow im 1))) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (/ (pow im 1) (- (sqrt (+ (* re re) (* im im))) re)))) (pow im 1/2) (sqrt (* 2.0 (/ (pow im 1) (- (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (- im)) (sqrt (* 2.0 (pow im 1))) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (/ (pow im 1) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (sqrt (* im (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (pow im 1) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (sqrt (* im (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 1) (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im 1))) (sqrt (* 2.0 (pow im 1))) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (sqrt (* 2.0 (- (pow im 1)))) (sqrt (- (/ (- (sqrt (+ (* re re) (* im im))) re) im))) (sqrt 2.0) (sqrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im 1))) (sqrt (* 2.0 (/ (pow im 1) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ 1 im)) (sqrt (* 2.0 (pow im 1/2))) (sqrt (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im 1/2))) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (* -1 re) (+ (pow re 2) (- (pow im 2) (pow re 2))) (+ (sqrt (+ (* re re) (* im im))) re) (* -1 re) (- im) (- (/ (- (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow im 1/2) (- (sqrt (+ (* re re) (* im im))) re)) (pow im 3/2) (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) im) (pow im 1/2)) (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 1) (- (- (sqrt (+ (* re re) (* im im))) re))) im (/ (pow im 1) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ im (* (+ (pow re 2) (- (pow im 2) (pow re 2))) 1)) im re (* -1 re) (+ (* (* +nan.0 (sqrt 2.0)) (- (* (sqrt 2) re) (* (sqrt 2) (pow re 2)))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2))))) (* +nan.0 (+ (- (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) (* 2 re) (+ re im) 0 1.855 * * * [progress]: adding candidates to table 2.000 * * [progress]: iteration 4 / 4 2.000 * * * [progress]: picking best candidate 2.025 * * * * [pick]: Picked # 2.025 * * * [progress]: localizing error 2.040 * * * [progress]: generating rewritten candidates 2.040 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.043 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 2.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.052 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.062 * * * [progress]: generating series expansions 2.062 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.062 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 2.062 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.062 * [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 2.064 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.064 * [taylor]: Taking taylor expansion of 2.0 in im 2.064 * [taylor]: Taking taylor expansion of im in im 2.076 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.076 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.076 * [taylor]: Taking taylor expansion of 2.0 in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.078 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.078 * [taylor]: Taking taylor expansion of 2.0 in im 2.078 * [taylor]: Taking taylor expansion of im in im 2.087 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.087 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.087 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.087 * [taylor]: Taking taylor expansion of 2.0 in im 2.088 * [taylor]: Taking taylor expansion of im in im 2.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.088 * [taylor]: Taking taylor expansion of 2.0 in im 2.089 * [taylor]: Taking taylor expansion of im in im 2.097 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 2.097 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.098 * [taylor]: Taking taylor expansion of re in im 2.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.098 * [taylor]: Taking taylor expansion of im in im 2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.098 * [taylor]: Taking taylor expansion of re in re 2.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.098 * [taylor]: Taking taylor expansion of im in re 2.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.099 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.100 * [taylor]: Taking taylor expansion of im in im 2.100 * [taylor]: Taking taylor expansion of 0 in im 2.101 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.101 * [taylor]: Taking taylor expansion of 1/2 in im 2.101 * [taylor]: Taking taylor expansion of im in im 2.103 * [taylor]: Taking taylor expansion of 0 in im 2.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.105 * [taylor]: Taking taylor expansion of re in im 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.109 * [taylor]: Taking taylor expansion of im in re 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.110 * [taylor]: Taking taylor expansion of re in re 2.115 * [taylor]: Taking taylor expansion of 1 in im 2.116 * [taylor]: Taking taylor expansion of 0 in im 2.118 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.118 * [taylor]: Taking taylor expansion of 1/2 in im 2.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.121 * [taylor]: Taking taylor expansion of 0 in im 2.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.123 * [taylor]: Taking taylor expansion of im in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.123 * [taylor]: Taking taylor expansion of re in im 2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.125 * [taylor]: Taking taylor expansion of im in re 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.126 * [taylor]: Taking taylor expansion of re in re 2.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.128 * [taylor]: Taking taylor expansion of im in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.128 * [taylor]: Taking taylor expansion of re in re 2.131 * [taylor]: Taking taylor expansion of 1 in im 2.131 * [taylor]: Taking taylor expansion of 0 in im 2.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.133 * [taylor]: Taking taylor expansion of 1/2 in im 2.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.133 * [taylor]: Taking taylor expansion of im in im 2.136 * [taylor]: Taking taylor expansion of 0 in im 2.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.137 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.137 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.138 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.138 * [taylor]: Taking taylor expansion of re in im 2.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.138 * [taylor]: Taking taylor expansion of im in im 2.138 * [taylor]: Taking taylor expansion of re in im 2.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.138 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.138 * [taylor]: Taking taylor expansion of im in re 2.139 * [taylor]: Taking taylor expansion of re in re 2.139 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.139 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.139 * [taylor]: Taking taylor expansion of re in re 2.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.139 * [taylor]: Taking taylor expansion of im in re 2.139 * [taylor]: Taking taylor expansion of re in re 2.140 * [taylor]: Taking taylor expansion of im in im 2.140 * [taylor]: Taking taylor expansion of -1 in im 2.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.142 * [taylor]: Taking taylor expansion of 1/2 in im 2.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.142 * [taylor]: Taking taylor expansion of im in im 2.145 * [taylor]: Taking taylor expansion of 0 in im 2.146 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.146 * [taylor]: Taking taylor expansion of im in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.149 * [taylor]: Taking taylor expansion of re in im 2.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.149 * [taylor]: Taking taylor expansion of im in re 2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.149 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.151 * [taylor]: Taking taylor expansion of re in re 2.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.152 * [taylor]: Taking taylor expansion of im in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.152 * [taylor]: Taking taylor expansion of re in re 2.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.155 * [taylor]: Taking taylor expansion of re in re 2.155 * [taylor]: Taking taylor expansion of 0 in im 2.156 * [taylor]: Taking taylor expansion of 0 in im 2.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.159 * [taylor]: Taking taylor expansion of 1/2 in im 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.159 * [taylor]: Taking taylor expansion of im in im 2.164 * [taylor]: Taking taylor expansion of 0 in im 2.165 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.165 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.165 * [taylor]: Taking taylor expansion of re in im 2.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.166 * [taylor]: Taking taylor expansion of im in im 2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.166 * [taylor]: Taking taylor expansion of re in im 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.168 * [taylor]: Taking taylor expansion of re in re 2.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.171 * [taylor]: Taking taylor expansion of re in re 2.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.172 * [taylor]: Taking taylor expansion of im in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.174 * [taylor]: Taking taylor expansion of 2 in im 2.175 * [taylor]: Taking taylor expansion of 0 in im 2.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.178 * [taylor]: Taking taylor expansion of 1/2 in im 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.178 * [taylor]: Taking taylor expansion of im in im 2.182 * [taylor]: Taking taylor expansion of 0 in im 2.184 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.184 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 2.184 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 2.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.184 * [taylor]: Taking taylor expansion of 2.0 in re 2.185 * [taylor]: Taking taylor expansion of im in re 2.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 2.185 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 2.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.185 * [taylor]: Taking taylor expansion of re in re 2.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.185 * [taylor]: Taking taylor expansion of im in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.187 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 2.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.187 * [taylor]: Taking taylor expansion of 2.0 in im 2.188 * [taylor]: Taking taylor expansion of im in im 2.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 2.188 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.188 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.188 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.188 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.188 * [taylor]: Taking taylor expansion of re in im 2.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.188 * [taylor]: Taking taylor expansion of im in im 2.188 * [taylor]: Taking taylor expansion of re in im 2.193 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 2.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.193 * [taylor]: Taking taylor expansion of 2.0 in im 2.194 * [taylor]: Taking taylor expansion of im in im 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 2.195 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.195 * [taylor]: Taking taylor expansion of re in im 2.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.195 * [taylor]: Taking taylor expansion of im in im 2.197 * [taylor]: Taking taylor expansion of re in im 2.202 * [taylor]: Taking taylor expansion of 0 in re 2.204 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.204 * [taylor]: Taking taylor expansion of 2.0 in re 2.208 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.208 * [taylor]: Taking taylor expansion of 2 in re 2.209 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.218 * [taylor]: Taking taylor expansion of 0 in re 2.229 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 2.230 * [taylor]: Taking taylor expansion of 1/4 in re 2.230 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 2.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 2.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.230 * [taylor]: Taking taylor expansion of 2.0 in re 2.230 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.230 * [taylor]: Taking taylor expansion of 2 in re 2.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.232 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.232 * [taylor]: Taking taylor expansion of re in re 2.265 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.265 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.265 * [taylor]: Taking taylor expansion of 2.0 in re 2.266 * [taylor]: Taking taylor expansion of im in re 2.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.266 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.266 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.266 * [taylor]: Taking taylor expansion of im in re 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.266 * [taylor]: Taking taylor expansion of re in re 2.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.269 * [taylor]: Taking taylor expansion of re in re 2.274 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.274 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.274 * [taylor]: Taking taylor expansion of 2.0 in im 2.275 * [taylor]: Taking taylor expansion of im in im 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.275 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.275 * [taylor]: Taking taylor expansion of im in im 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.276 * [taylor]: Taking taylor expansion of re in im 2.278 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.278 * [taylor]: Taking taylor expansion of re in im 2.279 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.279 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.279 * [taylor]: Taking taylor expansion of 2.0 in im 2.280 * [taylor]: Taking taylor expansion of im in im 2.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.281 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.281 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.281 * [taylor]: Taking taylor expansion of im in im 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.281 * [taylor]: Taking taylor expansion of re in im 2.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.283 * [taylor]: Taking taylor expansion of re in im 2.285 * [taylor]: Taking taylor expansion of 0 in re 2.287 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.287 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.287 * [taylor]: Taking taylor expansion of +nan.0 in re 2.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.287 * [taylor]: Taking taylor expansion of 2.0 in re 2.294 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.294 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.294 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.294 * [taylor]: Taking taylor expansion of +nan.0 in re 2.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.294 * [taylor]: Taking taylor expansion of 2.0 in re 2.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.295 * [taylor]: Taking taylor expansion of +nan.0 in re 2.295 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.295 * [taylor]: Taking taylor expansion of 2.0 in re 2.296 * [taylor]: Taking taylor expansion of re in re 2.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.309 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.309 * [taylor]: Taking taylor expansion of +nan.0 in re 2.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.309 * [taylor]: Taking taylor expansion of 2.0 in re 2.310 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.310 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.310 * [taylor]: Taking taylor expansion of +nan.0 in re 2.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.310 * [taylor]: Taking taylor expansion of 2.0 in re 2.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.312 * [taylor]: Taking taylor expansion of +nan.0 in re 2.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.312 * [taylor]: Taking taylor expansion of 2.0 in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.326 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.326 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.326 * [taylor]: Taking taylor expansion of 2.0 in re 2.327 * [taylor]: Taking taylor expansion of im in re 2.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.327 * [taylor]: Taking taylor expansion of im in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.331 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.331 * [taylor]: Taking taylor expansion of 2.0 in im 2.332 * [taylor]: Taking taylor expansion of im in im 2.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.333 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.333 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.333 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.333 * [taylor]: Taking taylor expansion of re in im 2.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.333 * [taylor]: Taking taylor expansion of im in im 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.333 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.333 * [taylor]: Taking taylor expansion of re in im 2.337 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.337 * [taylor]: Taking taylor expansion of 2.0 in im 2.337 * [taylor]: Taking taylor expansion of im in im 2.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.338 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.338 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.338 * [taylor]: Taking taylor expansion of re in im 2.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.338 * [taylor]: Taking taylor expansion of im in im 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.339 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.339 * [taylor]: Taking taylor expansion of re in im 2.342 * [taylor]: Taking taylor expansion of 0 in re 2.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.344 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.344 * [taylor]: Taking taylor expansion of +nan.0 in re 2.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.344 * [taylor]: Taking taylor expansion of 2.0 in re 2.350 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.350 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.350 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.350 * [taylor]: Taking taylor expansion of +nan.0 in re 2.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.351 * [taylor]: Taking taylor expansion of 2.0 in re 2.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.351 * [taylor]: Taking taylor expansion of +nan.0 in re 2.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.351 * [taylor]: Taking taylor expansion of 2.0 in re 2.352 * [taylor]: Taking taylor expansion of re in re 2.364 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.364 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.364 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.364 * [taylor]: Taking taylor expansion of +nan.0 in re 2.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.364 * [taylor]: Taking taylor expansion of 2.0 in re 2.365 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.365 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.365 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.365 * [taylor]: Taking taylor expansion of +nan.0 in re 2.365 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.365 * [taylor]: Taking taylor expansion of 2.0 in re 2.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.366 * [taylor]: Taking taylor expansion of re in re 2.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.366 * [taylor]: Taking taylor expansion of +nan.0 in re 2.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.366 * [taylor]: Taking taylor expansion of 2.0 in re 2.367 * [taylor]: Taking taylor expansion of re in re 2.383 * * * [progress]: simplifying candidates 2.384 * [simplify]: Simplifying using # : (sqrt 2.0) (sqrt (pow im 2)) (sqrt (* 2.0 im)) (sqrt im) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (pow im (/ 2 2))) (sqrt (pow im 2)) (sqrt 2.0) (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))) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (- re) (/ (* 2.0 (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (* 2.0 (pow im 2)))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (pow im 2)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow im 2))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt im)) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow im (/ 2 2)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)) (/ (sqrt (* 2.0 (pow im 2))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (pow im 2))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 2.388 * * [simplify]: iteration 0 : 258 enodes (cost 231 ) 2.393 * * [simplify]: iteration 1 : 851 enodes (cost 217 ) 2.410 * * [simplify]: iteration 2 : 3453 enodes (cost 205 ) 2.483 * * [simplify]: iteration 3 : 5001 enodes (cost 205 ) 2.485 * [simplify]: Simplified to: (sqrt 2.0) (fabs im) (sqrt (* 2.0 im)) (sqrt im) (sqrt (* 2.0 im)) (sqrt im) (fabs im) (sqrt 2.0) (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))) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re) (* -1 re) (/ (* 2.0 (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (* 2.0 (pow im 2)))) (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (pow im 2)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (pow im 2))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt im)) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt im)) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)) (/ (sqrt (* 2.0 (pow im 2))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (pow im 2))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (* +nan.0 (+ (- (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) 2.485 * * * [progress]: adding candidates to table 2.587 * [progress]: [Phase 3 of 3] Extracting. 2.587 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.589 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re) 2.589 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.629 * * * * [regimes]: Trying to branch on (* im im) from (# #) 2.648 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 2.693 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #) 2.738 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #) 2.786 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # #) 2.836 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.890 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.947 * * * [regime]: Found split indices: #