3.610 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.045 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.046 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.047 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.048 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.050 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.050 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.067 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.074 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.081 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.087 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.090 * [taylor]: Taking taylor expansion of 1/2 in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of 1 in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of 1/2 in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.112 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of 1 in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of 1/2 in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.126 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of -1 in im 0.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.130 * [taylor]: Taking taylor expansion of 1/2 in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.134 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.137 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.147 * [taylor]: Taking taylor expansion of 1/2 in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.147 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.153 * [taylor]: Taking taylor expansion of re in im 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of 2 in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.165 * [taylor]: Taking taylor expansion of 1/2 in im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.170 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.171 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 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 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.176 * [taylor]: Taking taylor expansion of 2.0 in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.177 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.178 * [taylor]: Taking taylor expansion of 2.0 in re 0.179 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.179 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.181 * [taylor]: Taking taylor expansion of 2.0 in im 0.181 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.185 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.185 * [taylor]: Taking taylor expansion of 1/2 in im 0.185 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.185 * [taylor]: Taking taylor expansion of 2.0 in im 0.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.215 * [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 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.216 * [taylor]: Taking taylor expansion of 2.0 in im 0.216 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.216 * [taylor]: Taking taylor expansion of im in im 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.217 * [taylor]: Taking taylor expansion of re in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.219 * [taylor]: Taking taylor expansion of re in im 0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.220 * [taylor]: Taking taylor expansion of 2.0 in re 0.221 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.221 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.221 * [taylor]: Taking taylor expansion of im in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.229 * [taylor]: Taking taylor expansion of 2.0 in re 0.229 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.229 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.229 * [taylor]: Taking taylor expansion of im in re 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.230 * [taylor]: Taking taylor expansion of re in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.232 * [taylor]: Taking taylor expansion of re in re 0.237 * [taylor]: Taking taylor expansion of 0 in im 0.238 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.238 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.238 * [taylor]: Taking taylor expansion of 2.0 in im 0.238 * [taylor]: Taking taylor expansion of NAN in im 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.239 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 4)) in im 0.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.247 * [taylor]: Taking taylor expansion of 2.0 in im 0.248 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.248 * [taylor]: Taking taylor expansion of NAN in im 0.248 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)))) in im 0.274 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) in im 0.274 * [taylor]: Taking taylor expansion of 1/8 in im 0.274 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 4)) in im 0.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.274 * [taylor]: Taking taylor expansion of 2.0 in im 0.274 * [taylor]: Taking taylor expansion of NAN in im 0.275 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6))) in im 0.279 * [taylor]: Taking taylor expansion of 2 in im 0.279 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)) in im 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.280 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.280 * [taylor]: Taking taylor expansion of NAN in im 0.280 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.324 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.324 * [taylor]: Taking taylor expansion of re in im 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.324 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.324 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.325 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.325 * [taylor]: Taking taylor expansion of re in im 0.328 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.328 * [taylor]: Taking taylor expansion of 2.0 in re 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.329 * [taylor]: Taking taylor expansion of re in re 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.329 * [taylor]: Taking taylor expansion of im in re 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.333 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.333 * [taylor]: Taking taylor expansion of 2.0 in re 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [taylor]: Taking taylor expansion of NAN in im 0.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.346 * [taylor]: Taking taylor expansion of 2.0 in im 0.346 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.346 * [taylor]: Taking taylor expansion of NAN in im 0.358 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) (* 2 (* (sqrt 2.0) (pow NAN 5)))) in im 0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) in im 0.358 * [taylor]: Taking taylor expansion of 1/2 in im 0.358 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 0.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.358 * [taylor]: Taking taylor expansion of 2.0 in im 0.359 * [taylor]: Taking taylor expansion of NAN in im 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.361 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 0.361 * [taylor]: Taking taylor expansion of 2 in im 0.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 0.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.361 * [taylor]: Taking taylor expansion of 2.0 in im 0.362 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 0.362 * [taylor]: Taking taylor expansion of NAN in im 0.376 * [taylor]: Taking taylor expansion of (- (* 3 (* (sqrt 2.0) (pow NAN 7))) (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2))) in im 0.376 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt 2.0) (pow NAN 7))) in im 0.376 * [taylor]: Taking taylor expansion of 3 in im 0.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 7)) in im 0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.376 * [taylor]: Taking taylor expansion of 2.0 in im 0.377 * [taylor]: Taking taylor expansion of (pow NAN 7) in im 0.377 * [taylor]: Taking taylor expansion of NAN in im 0.377 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2)) in im 0.377 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.377 * [taylor]: Taking taylor expansion of 2.0 in im 0.378 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 0.378 * [taylor]: Taking taylor expansion of NAN in im 0.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.378 * [taylor]: Taking taylor expansion of im in im 0.403 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.403 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.404 * [taylor]: Taking taylor expansion of im in im 0.404 * [taylor]: Taking taylor expansion of 0 in im 0.405 * [taylor]: Taking taylor expansion of 1 in im 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.408 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.408 * [taylor]: Taking taylor expansion of im in im 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.409 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.409 * [taylor]: Taking taylor expansion of re in im 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.409 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.409 * [taylor]: Taking taylor expansion of im in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.409 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.409 * [taylor]: Taking taylor expansion of re in re 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.410 * [taylor]: Taking taylor expansion of im in re 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of 1 in im 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.415 * [taylor]: Taking taylor expansion of 0 in im 0.417 * [taylor]: Taking taylor expansion of 0 in im 0.419 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.419 * [taylor]: Taking taylor expansion of re in im 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.419 * [taylor]: Taking taylor expansion of im in re 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.421 * [taylor]: Taking taylor expansion of 1 in im 0.422 * [taylor]: Taking taylor expansion of 0 in im 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.423 * [taylor]: Taking taylor expansion of im in im 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.428 * [taylor]: Taking taylor expansion of 0 in im 0.429 * * * [progress]: simplifying candidates 0.430 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (neg re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (neg re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (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) (- im re) 0 (* -2 re) (- (+ (* (sqrt 2.0) (* NAN im)) (* (sqrt 2.0) (* (pow NAN 3) (pow im 2)))) (* 1/2 (* (sqrt 2.0) (* (pow NAN 3) (* im re))))) 0 (- (* (sqrt 2.0) NAN) (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.434 * * [simplify]: iteration 0 : 260 enodes (cost 458 ) 0.439 * * [simplify]: iteration 1 : 982 enodes (cost 428 ) 0.455 * * [simplify]: iteration 2 : 3667 enodes (cost 421 ) 0.532 * * [simplify]: iteration 3 : 5001 enodes (cost 420 ) 0.538 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (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) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (neg (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (* (sqrt 2.0) (- (* im (+ (* (pow NAN 3) im) NAN)) (* (* (pow NAN 3) (* im re)) 1/2))) 0 (- (* (sqrt 2.0) NAN) (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2))))) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.539 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 2 / 4 0.772 * * * [progress]: picking best candidate 0.785 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.799 * * * [progress]: generating rewritten candidates 0.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.815 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.827 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.836 * * * [progress]: generating series expansions 0.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.836 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.836 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.836 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.837 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.837 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.837 * [taylor]: Taking taylor expansion of re in re 0.837 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.837 * [taylor]: Taking taylor expansion of im in re 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.838 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.838 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.838 * [taylor]: Taking taylor expansion of re in re 0.838 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.838 * [taylor]: Taking taylor expansion of im in re 0.838 * [taylor]: Taking taylor expansion of im in im 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.843 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.843 * [taylor]: Taking taylor expansion of 1/2 in im 0.843 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of 0 in im 0.845 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 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 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.846 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.848 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.854 * [taylor]: Taking taylor expansion of 1 in im 0.854 * [taylor]: Taking taylor expansion of 0 in im 0.856 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.856 * [taylor]: Taking taylor expansion of 1/2 in im 0.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.859 * [taylor]: Taking taylor expansion of 0 in im 0.860 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.860 * [taylor]: Taking taylor expansion of im in im 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.861 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.861 * [taylor]: Taking taylor expansion of re in im 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.863 * [taylor]: Taking taylor expansion of re in re 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of 1 in im 0.868 * [taylor]: Taking taylor expansion of 0 in im 0.870 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.870 * [taylor]: Taking taylor expansion of 1/2 in im 0.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.873 * [taylor]: Taking taylor expansion of 0 in im 0.874 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.874 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 0.874 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.874 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.874 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.875 * [taylor]: Taking taylor expansion of re in im 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.875 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.875 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.875 * [taylor]: Taking taylor expansion of re in im 0.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.876 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.876 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.876 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.876 * [taylor]: Taking taylor expansion of im in im 0.877 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 0.877 * [taylor]: Taking taylor expansion of 1/2 in re 0.877 * [taylor]: Taking taylor expansion of re in re 0.878 * [taylor]: Taking taylor expansion of 0 in re 0.881 * [taylor]: Taking taylor expansion of (neg (* 1/8 (/ 1 (pow re 3)))) in re 0.881 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 0.881 * [taylor]: Taking taylor expansion of 1/8 in re 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.881 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.881 * [taylor]: Taking taylor expansion of re in re 0.887 * [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 0.887 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 0.887 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.887 * [taylor]: Taking taylor expansion of re in re 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.888 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.888 * [taylor]: Taking taylor expansion of im in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.888 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.888 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.891 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.891 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.891 * [taylor]: Taking taylor expansion of im in im 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.891 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.893 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.894 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.894 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.894 * [taylor]: Taking taylor expansion of re in im 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.895 * [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 0.898 * [taylor]: Taking taylor expansion of 1 in re 0.898 * [taylor]: Taking taylor expansion of (neg (/ 1 re)) in re 0.898 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.903 * [taylor]: Taking taylor expansion of 1/2 in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.908 * [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 0.908 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 0.908 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 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 (pow im 2) in re 0.911 * [taylor]: Taking taylor expansion of im in re 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.917 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.917 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.917 * [taylor]: Taking taylor expansion of im in im 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.918 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.918 * [taylor]: Taking taylor expansion of re in im 0.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.919 * [taylor]: Taking taylor expansion of re in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.920 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.921 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.921 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.921 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.921 * [taylor]: Taking taylor expansion of re in im 0.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.926 * [taylor]: Taking taylor expansion of re in im 0.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.926 * [taylor]: Taking taylor expansion of im in im 0.927 * [taylor]: Taking taylor expansion of 1 in re 0.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.928 * [taylor]: Taking taylor expansion of re in re 0.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.931 * [taylor]: Taking taylor expansion of 1/2 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 0.938 * [taylor]: Taking taylor expansion of 0 in re 0.940 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.940 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 0.940 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.940 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 0.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.940 * [taylor]: Taking taylor expansion of 2.0 in re 0.941 * [taylor]: Taking taylor expansion of im in re 0.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.941 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.941 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.941 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.941 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.942 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.942 * [taylor]: Taking taylor expansion of 2.0 in im 0.943 * [taylor]: Taking taylor expansion of im in im 0.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.943 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.943 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.943 * [taylor]: Taking taylor expansion of re in im 0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.943 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.943 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.943 * [taylor]: Taking taylor expansion of re in im 0.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.943 * [taylor]: Taking taylor expansion of im in im 0.944 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.944 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.944 * [taylor]: Taking taylor expansion of 2.0 in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.945 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.945 * [taylor]: Taking taylor expansion of re in im 0.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.945 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.945 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.945 * [taylor]: Taking taylor expansion of re in im 0.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of 0 in re 0.948 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.948 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.948 * [taylor]: Taking taylor expansion of 2.0 in re 0.949 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.949 * [taylor]: Taking taylor expansion of 1/2 in re 0.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.961 * [taylor]: Taking taylor expansion of 0 in re 0.977 * [taylor]: Taking taylor expansion of (neg (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 0.977 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 0.977 * [taylor]: Taking taylor expansion of 1/16 in re 0.977 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 0.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 0.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.977 * [taylor]: Taking taylor expansion of 2.0 in re 0.978 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.978 * [taylor]: Taking taylor expansion of 1/2 in re 0.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 0.979 * [taylor]: Taking taylor expansion of (pow re 5) in re 0.979 * [taylor]: Taking taylor expansion of re in re 1.029 * [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 1.029 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.029 * [taylor]: Taking taylor expansion of 2.0 in re 1.029 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.030 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.030 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.034 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.034 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.034 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.034 * [taylor]: Taking taylor expansion of 2.0 in im 1.035 * [taylor]: Taking taylor expansion of im in im 1.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.035 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.036 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.036 * [taylor]: Taking taylor expansion of re in im 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.036 * [taylor]: Taking taylor expansion of re in im 1.040 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.040 * [taylor]: Taking taylor expansion of 2.0 in im 1.040 * [taylor]: Taking taylor expansion of im in im 1.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.041 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.041 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.041 * [taylor]: Taking taylor expansion of re in im 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.041 * [taylor]: Taking taylor expansion of im in im 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.042 * [taylor]: Taking taylor expansion of re in im 1.046 * [taylor]: Taking taylor expansion of 0 in re 1.047 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.047 * [taylor]: Taking taylor expansion of 2.0 in re 1.048 * [taylor]: Taking taylor expansion of NAN in re 1.052 * [taylor]: Taking taylor expansion of (+ (/ (* NAN (sqrt 2.0)) re) (* (sqrt 2.0) (pow NAN 3))) in re 1.052 * [taylor]: Taking taylor expansion of (/ (* NAN (sqrt 2.0)) re) in re 1.053 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2.0)) in re 1.053 * [taylor]: Taking taylor expansion of NAN in re 1.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.053 * [taylor]: Taking taylor expansion of 2.0 in re 1.053 * [taylor]: Taking taylor expansion of re in re 1.055 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.055 * [taylor]: Taking taylor expansion of 2.0 in re 1.056 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.056 * [taylor]: Taking taylor expansion of NAN in re 1.069 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2))) (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re)))) in re 1.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2))) in re 1.069 * [taylor]: Taking taylor expansion of 1/2 in re 1.069 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow re 2)) in re 1.069 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.069 * [taylor]: Taking taylor expansion of 2.0 in re 1.069 * [taylor]: Taking taylor expansion of NAN in re 1.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.070 * [taylor]: Taking taylor expansion of re in re 1.071 * [taylor]: Taking taylor expansion of (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re))) in re 1.071 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in re 1.071 * [taylor]: Taking taylor expansion of 2 in re 1.071 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in re 1.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.071 * [taylor]: Taking taylor expansion of 2.0 in re 1.072 * [taylor]: Taking taylor expansion of (pow NAN 5) in re 1.072 * [taylor]: Taking taylor expansion of NAN in re 1.072 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re)) in re 1.072 * [taylor]: Taking taylor expansion of 2 in re 1.072 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) re) in re 1.072 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.072 * [taylor]: Taking taylor expansion of 2.0 in re 1.073 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.073 * [taylor]: Taking taylor expansion of NAN in re 1.073 * [taylor]: Taking taylor expansion of re in re 1.106 * [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 1.106 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.106 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.106 * [taylor]: Taking taylor expansion of 2.0 in re 1.107 * [taylor]: Taking taylor expansion of im in re 1.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.107 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.107 * [taylor]: Taking taylor expansion of im in re 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.107 * [taylor]: Taking taylor expansion of re in re 1.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.115 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.115 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.115 * [taylor]: Taking taylor expansion of 2.0 in im 1.116 * [taylor]: Taking taylor expansion of im in im 1.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.116 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.116 * [taylor]: Taking taylor expansion of im in im 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.117 * [taylor]: Taking taylor expansion of re in im 1.119 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.119 * [taylor]: Taking taylor expansion of re in im 1.120 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.120 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.120 * [taylor]: Taking taylor expansion of 2.0 in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.122 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.122 * [taylor]: Taking taylor expansion of im in im 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.122 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.124 * [taylor]: Taking taylor expansion of re in im 1.126 * [taylor]: Taking taylor expansion of 0 in re 1.128 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.128 * [taylor]: Taking taylor expansion of 2.0 in re 1.129 * [taylor]: Taking taylor expansion of NAN in re 1.132 * [taylor]: Taking taylor expansion of (- (/ (* (sqrt 2.0) NAN) re) (* (sqrt 2.0) (pow NAN 3))) in re 1.132 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) re) in re 1.132 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.132 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.132 * [taylor]: Taking taylor expansion of 2.0 in re 1.133 * [taylor]: Taking taylor expansion of NAN in re 1.133 * [taylor]: Taking taylor expansion of re in re 1.134 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.134 * [taylor]: Taking taylor expansion of 2.0 in re 1.135 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.135 * [taylor]: Taking taylor expansion of NAN in re 1.145 * [taylor]: Taking taylor expansion of (- (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2)))) (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re))) in re 1.145 * [taylor]: Taking taylor expansion of (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2)))) in re 1.145 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in re 1.145 * [taylor]: Taking taylor expansion of 2 in re 1.145 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in re 1.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.145 * [taylor]: Taking taylor expansion of 2.0 in re 1.146 * [taylor]: Taking taylor expansion of (pow NAN 5) in re 1.146 * [taylor]: Taking taylor expansion of NAN in re 1.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2))) in re 1.146 * [taylor]: Taking taylor expansion of 1/2 in re 1.146 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow re 2)) in re 1.146 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.146 * [taylor]: Taking taylor expansion of 2.0 in re 1.146 * [taylor]: Taking taylor expansion of NAN in re 1.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.146 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re)) in re 1.148 * [taylor]: Taking taylor expansion of 2 in re 1.148 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) re) in re 1.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.148 * [taylor]: Taking taylor expansion of 2.0 in re 1.149 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.149 * [taylor]: Taking taylor expansion of NAN in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.168 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.168 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.168 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.168 * [taylor]: Taking taylor expansion of re in im 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.168 * [taylor]: Taking taylor expansion of re in im 1.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.168 * [taylor]: Taking taylor expansion of im in im 1.168 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.168 * [taylor]: Taking taylor expansion of re in re 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.169 * [taylor]: Taking taylor expansion of im in re 1.169 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.169 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of 1 in im 1.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.174 * [taylor]: Taking taylor expansion of 1/2 in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.177 * [taylor]: Taking taylor expansion of 0 in im 1.178 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.178 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.178 * [taylor]: Taking taylor expansion of re in im 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.178 * [taylor]: Taking taylor expansion of im in im 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.179 * [taylor]: Taking taylor expansion of re in im 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.184 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of 2 in im 1.187 * [taylor]: Taking taylor expansion of 0 in im 1.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.190 * [taylor]: Taking taylor expansion of 1/2 in im 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.190 * [taylor]: Taking taylor expansion of im in im 1.194 * [taylor]: Taking taylor expansion of 0 in im 1.196 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.196 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.196 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.196 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.198 * [taylor]: Taking taylor expansion of im in re 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.198 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of 0 in im 1.205 * [taylor]: Taking taylor expansion of 0 in im 1.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.208 * [taylor]: Taking taylor expansion of 1/2 in im 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.208 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of 0 in im 1.214 * * * [progress]: simplifying candidates 1.215 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (log (+ 0 (pow im 2))) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (+ 0 (pow im 2)) (+ 0 (pow im 2))) (+ 0 (pow im 2))) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (neg (+ 0 (pow im 2))) (neg (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (+ 0 (pow im 2))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (+ 0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) 1) (/ (cbrt (+ 0 (pow im 2))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) 1) (/ (cbrt (+ 0 (pow im 2))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ 0 (pow im 2))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (+ 0 (pow im 2))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ 0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ 0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ 0 (pow im 2))) 1) (/ (sqrt (+ 0 (pow im 2))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ 0 (pow im 2))) 1) (/ (sqrt (+ 0 (pow im 2))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (+ 0 (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 1) (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (+ 0 (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 1) (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ 0 (pow im 2))) (/ (+ 0 (pow im 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (+ 0 (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (pow im 2)) 1) (/ (+ 0 (pow im 2)) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (+ 0 (pow im 2)))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ 0 (pow im 2)))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ 0 (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ 0 (pow im 2))) (/ (+ 0 (pow im 2)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (+ 0 (pow im 2)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (* 0 0) (- (* (pow im 2) (pow im 2)) (* 0 (pow im 2))))) (* (+ (sqrt (+ (* re re) (* im im))) re) (- 0 (pow im 2))) (log (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ 0 (pow im 2)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (neg (+ re im)) (- (+ (* (sqrt 2.0) (* NAN (* (sqrt 1/2) im))) (* (sqrt 2.0) (* (pow NAN 3) (* (sqrt 1/2) (* im re))))) (* 1/16 (/ (* (sqrt 2.0) (* (pow NAN 5) (pow im 3))) (sqrt 1/2)))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) im) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 2)))) (+ (* 2 (/ (* (sqrt 2.0) (* (pow NAN 3) re)) (pow im 2))) (+ (/ (* (sqrt 2.0) (* NAN re)) im) (* (sqrt 2.0) NAN))) (+ re im) (* 2 re) 0 1.221 * * [simplify]: iteration 0 : 397 enodes (cost 881 ) 1.229 * * [simplify]: iteration 1 : 1554 enodes (cost 792 ) 1.264 * * [simplify]: iteration 2 : 5001 enodes (cost 781 ) 1.268 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (pow (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) 3) (* (cbrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (pow (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) 3) (sqrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (- 0 (pow im 2)) (neg (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (+ 0 (pow im 2))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (+ 0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (/ (cbrt (+ 0 (pow im 2))) (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (/ (cbrt (+ 0 (pow im 2))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (/ (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (/ (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) im) (* (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) (pow im 2) (pow im 2) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (+ 0 (pow im 2)))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (fabs im)) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) im) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) im) (/ im (/ (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) im)) (/ im (/ (+ (* re re) (- (pow im 2) (* re re))) im)) (* (+ (sqrt (+ (* re re) (* im im))) re) (pow im 4)) (* (+ (sqrt (+ (* re re) (* im im))) re) (- 0 (pow im 2))) (log (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (pow (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)))) 3) (sqrt 2.0) (sqrt (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ 0 (pow im 2)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (neg (+ re im)) (+ (* -1/16 (/ (* (sqrt 2.0) (* (pow NAN 5) (pow im 3))) (sqrt 1/2))) (* (sqrt 2.0) (+ (* NAN (* (sqrt 1/2) im)) (* (pow NAN 3) (* (sqrt 1/2) (* im re)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) im) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 2)))) (+ (* 2 (/ (* (sqrt 2.0) (* (pow NAN 3) re)) (pow im 2))) (+ (/ (* (sqrt 2.0) (* NAN re)) im) (* (sqrt 2.0) NAN))) (+ re im) (* 2 re) 0 1.269 * * * [progress]: adding candidates to table 1.607 * * [progress]: iteration 3 / 4 1.607 * * * [progress]: picking best candidate 1.632 * * * * [pick]: Picked # 1.632 * * * [progress]: localizing error 1.646 * * * [progress]: generating rewritten candidates 1.646 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 1.649 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.662 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.668 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.685 * * * [progress]: generating series expansions 1.685 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1) 1.685 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.685 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.685 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.685 * [taylor]: Taking taylor expansion of re in im 1.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.685 * [taylor]: Taking taylor expansion of im in im 1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.686 * [taylor]: Taking taylor expansion of re in re 1.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.687 * [taylor]: Taking taylor expansion of im in re 1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.687 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.687 * [taylor]: Taking taylor expansion of re in re 1.687 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.687 * [taylor]: Taking taylor expansion of im in re 1.688 * [taylor]: Taking taylor expansion of im in im 1.688 * [taylor]: Taking taylor expansion of 0 in im 1.689 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.689 * [taylor]: Taking taylor expansion of 1/2 in im 1.689 * [taylor]: Taking taylor expansion of im in im 1.691 * [taylor]: Taking taylor expansion of 0 in im 1.692 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.692 * [taylor]: Taking taylor expansion of im in im 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.692 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.692 * [taylor]: Taking taylor expansion of re in im 1.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.694 * [taylor]: Taking taylor expansion of im in re 1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.695 * [taylor]: Taking taylor expansion of re in re 1.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.697 * [taylor]: Taking taylor expansion of im in re 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.697 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.697 * [taylor]: Taking taylor expansion of re in re 1.699 * [taylor]: Taking taylor expansion of 1 in im 1.699 * [taylor]: Taking taylor expansion of 0 in im 1.701 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.701 * [taylor]: Taking taylor expansion of 1/2 in im 1.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.705 * [taylor]: Taking taylor expansion of 0 in im 1.706 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.706 * [taylor]: Taking taylor expansion of im in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.707 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.707 * [taylor]: Taking taylor expansion of re in im 1.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.709 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.709 * [taylor]: Taking taylor expansion of im in re 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.709 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.709 * [taylor]: Taking taylor expansion of re in re 1.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.711 * [taylor]: Taking taylor expansion of im in re 1.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.711 * [taylor]: Taking taylor expansion of re in re 1.714 * [taylor]: Taking taylor expansion of 1 in im 1.714 * [taylor]: Taking taylor expansion of 0 in im 1.716 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.716 * [taylor]: Taking taylor expansion of 1/2 in im 1.716 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.716 * [taylor]: Taking taylor expansion of im in im 1.719 * [taylor]: Taking taylor expansion of 0 in im 1.720 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.720 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.720 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.720 * [taylor]: Taking taylor expansion of 2.0 in re 1.721 * [taylor]: Taking taylor expansion of im in re 1.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.721 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.721 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.721 * [taylor]: Taking taylor expansion of re in re 1.721 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.721 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.721 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.721 * [taylor]: Taking taylor expansion of re in re 1.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.721 * [taylor]: Taking taylor expansion of im in re 1.722 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.722 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.722 * [taylor]: Taking taylor expansion of 2.0 in im 1.723 * [taylor]: Taking taylor expansion of im in im 1.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.723 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.723 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.723 * [taylor]: Taking taylor expansion of re in im 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.723 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.723 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.723 * [taylor]: Taking taylor expansion of re in im 1.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.723 * [taylor]: Taking taylor expansion of im in im 1.724 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.724 * [taylor]: Taking taylor expansion of 2.0 in im 1.725 * [taylor]: Taking taylor expansion of im in im 1.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.725 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.725 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.725 * [taylor]: Taking taylor expansion of re in im 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.725 * [taylor]: Taking taylor expansion of re in im 1.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.725 * [taylor]: Taking taylor expansion of im in im 1.727 * [taylor]: Taking taylor expansion of 0 in re 1.729 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 1.729 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.729 * [taylor]: Taking taylor expansion of 2.0 in re 1.730 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.730 * [taylor]: Taking taylor expansion of 1/2 in re 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.730 * [taylor]: Taking taylor expansion of re in re 1.742 * [taylor]: Taking taylor expansion of 0 in re 1.762 * [taylor]: Taking taylor expansion of (neg (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.762 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.762 * [taylor]: Taking taylor expansion of 1/16 in re 1.762 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.762 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.762 * [taylor]: Taking taylor expansion of 2.0 in re 1.763 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.763 * [taylor]: Taking taylor expansion of 1/2 in re 1.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.764 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.764 * [taylor]: Taking taylor expansion of re in re 1.810 * [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 1.810 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.810 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.811 * [taylor]: Taking taylor expansion of 2.0 in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.816 * [taylor]: Taking taylor expansion of 2.0 in im 1.817 * [taylor]: Taking taylor expansion of im in im 1.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.817 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.817 * [taylor]: Taking taylor expansion of re in im 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.818 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.818 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.818 * [taylor]: Taking taylor expansion of re in im 1.822 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.822 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.822 * [taylor]: Taking taylor expansion of 2.0 in im 1.822 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.823 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.823 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.824 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.824 * [taylor]: Taking taylor expansion of re in im 1.827 * [taylor]: Taking taylor expansion of 0 in re 1.829 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.829 * [taylor]: Taking taylor expansion of 2.0 in re 1.830 * [taylor]: Taking taylor expansion of NAN in re 1.834 * [taylor]: Taking taylor expansion of (+ (/ (* NAN (sqrt 2.0)) re) (* (sqrt 2.0) (pow NAN 3))) in re 1.834 * [taylor]: Taking taylor expansion of (/ (* NAN (sqrt 2.0)) re) in re 1.834 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2.0)) in re 1.834 * [taylor]: Taking taylor expansion of NAN in re 1.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.834 * [taylor]: Taking taylor expansion of 2.0 in re 1.838 * [taylor]: Taking taylor expansion of re in re 1.840 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.840 * [taylor]: Taking taylor expansion of 2.0 in re 1.840 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.840 * [taylor]: Taking taylor expansion of NAN in re 1.853 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2))) (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re)))) in re 1.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2))) in re 1.853 * [taylor]: Taking taylor expansion of 1/2 in re 1.853 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow re 2)) in re 1.853 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.853 * [taylor]: Taking taylor expansion of 2.0 in re 1.854 * [taylor]: Taking taylor expansion of NAN in re 1.854 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.854 * [taylor]: Taking taylor expansion of re in re 1.856 * [taylor]: Taking taylor expansion of (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re))) in re 1.856 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in re 1.856 * [taylor]: Taking taylor expansion of 2 in re 1.856 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in re 1.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.856 * [taylor]: Taking taylor expansion of 2.0 in re 1.857 * [taylor]: Taking taylor expansion of (pow NAN 5) in re 1.857 * [taylor]: Taking taylor expansion of NAN in re 1.857 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re)) in re 1.857 * [taylor]: Taking taylor expansion of 2 in re 1.857 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) re) in re 1.857 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.857 * [taylor]: Taking taylor expansion of 2.0 in re 1.857 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.857 * [taylor]: Taking taylor expansion of NAN in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.886 * [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 1.886 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.886 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.886 * [taylor]: Taking taylor expansion of 2.0 in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.887 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.887 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.887 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.887 * [taylor]: Taking taylor expansion of re in re 1.889 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.894 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.894 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.894 * [taylor]: Taking taylor expansion of 2.0 in im 1.895 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.896 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.896 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.896 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.896 * [taylor]: Taking taylor expansion of re in im 1.898 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.898 * [taylor]: Taking taylor expansion of re in im 1.900 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.900 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.900 * [taylor]: Taking taylor expansion of 2.0 in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.901 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.902 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.902 * [taylor]: Taking taylor expansion of re in im 1.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.904 * [taylor]: Taking taylor expansion of re in im 1.906 * [taylor]: Taking taylor expansion of 0 in re 1.907 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.908 * [taylor]: Taking taylor expansion of 2.0 in re 1.908 * [taylor]: Taking taylor expansion of NAN in re 1.911 * [taylor]: Taking taylor expansion of (- (/ (* (sqrt 2.0) NAN) re) (* (sqrt 2.0) (pow NAN 3))) in re 1.911 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) re) in re 1.911 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.911 * [taylor]: Taking taylor expansion of 2.0 in re 1.912 * [taylor]: Taking taylor expansion of NAN in re 1.912 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.914 * [taylor]: Taking taylor expansion of 2.0 in re 1.914 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.914 * [taylor]: Taking taylor expansion of NAN in re 1.927 * [taylor]: Taking taylor expansion of (- (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2)))) (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re))) in re 1.927 * [taylor]: Taking taylor expansion of (+ (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2)))) in re 1.927 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in re 1.927 * [taylor]: Taking taylor expansion of 2 in re 1.927 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in re 1.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.927 * [taylor]: Taking taylor expansion of 2.0 in re 1.928 * [taylor]: Taking taylor expansion of (pow NAN 5) in re 1.928 * [taylor]: Taking taylor expansion of NAN in re 1.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow re 2))) in re 1.928 * [taylor]: Taking taylor expansion of 1/2 in re 1.928 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow re 2)) in re 1.928 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 1.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.928 * [taylor]: Taking taylor expansion of 2.0 in re 1.929 * [taylor]: Taking taylor expansion of NAN in re 1.929 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.929 * [taylor]: Taking taylor expansion of re in re 1.930 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 3)) re)) in re 1.930 * [taylor]: Taking taylor expansion of 2 in re 1.930 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) re) in re 1.930 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 1.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.930 * [taylor]: Taking taylor expansion of 2.0 in re 1.931 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 1.931 * [taylor]: Taking taylor expansion of NAN in re 1.931 * [taylor]: Taking taylor expansion of re in re 1.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2 1) 1.949 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.949 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.949 * [taylor]: Taking taylor expansion of re in im 1.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.949 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.949 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.949 * [taylor]: Taking taylor expansion of re in im 1.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.949 * [taylor]: Taking taylor expansion of im in im 1.950 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.950 * [taylor]: Taking taylor expansion of re in re 1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.950 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.950 * [taylor]: Taking taylor expansion of re in re 1.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.950 * [taylor]: Taking taylor expansion of im in re 1.951 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.951 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.951 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [taylor]: Taking taylor expansion of im in im 1.952 * [taylor]: Taking taylor expansion of 1 in im 1.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.953 * [taylor]: Taking taylor expansion of 1/2 in im 1.953 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.953 * [taylor]: Taking taylor expansion of im in im 1.955 * [taylor]: Taking taylor expansion of 0 in im 1.957 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.957 * [taylor]: Taking taylor expansion of re in im 1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.957 * [taylor]: Taking taylor expansion of im in im 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.957 * [taylor]: Taking taylor expansion of re in im 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.959 * [taylor]: Taking taylor expansion of re in re 1.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.962 * [taylor]: Taking taylor expansion of re in re 1.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.965 * [taylor]: Taking taylor expansion of 2 in im 1.966 * [taylor]: Taking taylor expansion of 0 in im 1.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.968 * [taylor]: Taking taylor expansion of 1/2 in im 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.968 * [taylor]: Taking taylor expansion of im in im 1.972 * [taylor]: Taking taylor expansion of 0 in im 1.974 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.974 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.974 * [taylor]: Taking taylor expansion of im in im 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.975 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.975 * [taylor]: Taking taylor expansion of re in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.977 * [taylor]: Taking taylor expansion of re in im 1.977 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.977 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.977 * [taylor]: Taking taylor expansion of im in re 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.977 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.977 * [taylor]: Taking taylor expansion of re in re 1.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.980 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.982 * [taylor]: Taking taylor expansion of re in re 1.983 * [taylor]: Taking taylor expansion of 0 in im 1.984 * [taylor]: Taking taylor expansion of 0 in im 1.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.986 * [taylor]: Taking taylor expansion of 1/2 in im 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.987 * [taylor]: Taking taylor expansion of im in im 1.991 * [taylor]: Taking taylor expansion of 0 in im 1.992 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.993 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 1.993 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.993 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.993 * [taylor]: Taking taylor expansion of re in re 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.993 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.993 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.993 * [taylor]: Taking taylor expansion of re in re 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.994 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.994 * [taylor]: Taking taylor expansion of im in im 1.994 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.994 * [taylor]: Taking taylor expansion of re in im 1.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.994 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.994 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.994 * [taylor]: Taking taylor expansion of re in im 1.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.994 * [taylor]: Taking taylor expansion of im in im 1.994 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.994 * [taylor]: Taking taylor expansion of im in im 1.995 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.995 * [taylor]: Taking taylor expansion of re in im 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.995 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.995 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.995 * [taylor]: Taking taylor expansion of re in im 1.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.995 * [taylor]: Taking taylor expansion of im in im 1.995 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.995 * [taylor]: Taking taylor expansion of 1/2 in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.997 * [taylor]: Taking taylor expansion of 0 in re 2.002 * [taylor]: Taking taylor expansion of (neg (* 1/8 (/ 1 (pow re 3)))) in re 2.002 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 2.002 * [taylor]: Taking taylor expansion of 1/8 in re 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.002 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.002 * [taylor]: Taking taylor expansion of re in re 2.009 * [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 2.009 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 2.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.009 * [taylor]: Taking taylor expansion of re in re 2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.009 * [taylor]: Taking taylor expansion of im in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.009 * [taylor]: Taking taylor expansion of re in re 2.012 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.012 * [taylor]: Taking taylor expansion of im in re 2.012 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.012 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.012 * [taylor]: Taking taylor expansion of re in im 2.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.012 * [taylor]: Taking taylor expansion of im in im 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.013 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.013 * [taylor]: Taking taylor expansion of re in im 2.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.015 * [taylor]: Taking taylor expansion of im in im 2.016 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.016 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.016 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.016 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.016 * [taylor]: Taking taylor expansion of re in im 2.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.016 * [taylor]: Taking taylor expansion of im in im 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.017 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.017 * [taylor]: Taking taylor expansion of re in im 2.019 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.019 * [taylor]: Taking taylor expansion of im in im 2.020 * [taylor]: Taking taylor expansion of 1 in re 2.020 * [taylor]: Taking taylor expansion of (neg (/ 1 re)) in re 2.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.025 * [taylor]: Taking taylor expansion of 1/2 in re 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.030 * [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 2.030 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 2.030 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 2.030 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.030 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.030 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.038 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.038 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.039 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.041 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.041 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.042 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.042 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.045 * [taylor]: Taking taylor expansion of 1 in re 2.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.050 * [taylor]: Taking taylor expansion of 1/2 in re 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.050 * [taylor]: Taking taylor expansion of re in re 2.056 * [taylor]: Taking taylor expansion of 0 in re 2.058 * * * [progress]: simplifying candidates 2.061 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (exp (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (cbrt (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))))) (cbrt (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (* (* (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (sqrt 2.0) (sqrt (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (sqrt (* 2.0 (* 1 im))) (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (sqrt (sqrt (* 2.0 (* 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (- (log im) (- (log (+ (sqrt (+ (* re re) (* im im))) re)) (log im))) (- (log im) (log (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (log (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (exp (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (* (* im im) im) (/ (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (* (* im im) im))) (/ (* (* im im) im) (* (* (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (* (cbrt (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (cbrt (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (cbrt (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (* (* (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (neg im) (neg (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (* (cbrt im) (cbrt im)) (* (cbrt (/ (+ (sqrt (+ (* re re) (* im 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(* re re) (* im im))) re)) (sqrt im))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) (* (cbrt im) (cbrt im)) (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt im))) (sqrt im) (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt im))) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (* (cbrt im) (cbrt im)) (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt im))) (sqrt im) (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt im))) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) 1 (/ im (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (pow im 2) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) im) (/ im (* (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (/ im (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ im (/ (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt im) (cbrt im)))) (/ im (/ (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt im))) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt im) (cbrt im)))) (/ im (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt im))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* im (* (cbrt im) (cbrt im))) (* (sqrt im) im) im (* im (* (cbrt im) (cbrt im))) (* (sqrt im) im) im im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (cbrt im)) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (sqrt im)) (/ (/ (+ (sqrt (+ (* re re) (* im im))) re) im) im) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) im re (* -1 re) (+ (* -1/16 (/ (* (sqrt 2.0) (* (pow NAN 5) (pow im 3))) (sqrt 1/2))) (* (sqrt 2.0) (+ (* NAN (* (sqrt 1/2) im)) (* (pow NAN 3) (* (sqrt 1/2) (* im re)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) im) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 2)))) (+ (* 2 (/ (* (sqrt 2.0) (* (pow NAN 3) re)) (pow im 2))) (+ (/ (* (sqrt 2.0) (* NAN re)) im) (* (sqrt 2.0) NAN))) (+ re im) (* 2 re) 0 0 0 (neg (+ re im)) 2.138 * * * [progress]: adding candidates to table 2.563 * * [progress]: iteration 4 / 4 2.563 * * * [progress]: picking best candidate 2.590 * * * * [pick]: Picked # 2.590 * * * [progress]: localizing error 2.605 * * * [progress]: generating rewritten candidates 2.605 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 2.609 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 2.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 2.640 * * * [progress]: generating series expansions 2.640 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1) 2.640 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.640 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.640 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.640 * [taylor]: Taking taylor expansion of re in im 2.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.640 * [taylor]: Taking taylor expansion of im in im 2.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.641 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.641 * [taylor]: Taking taylor expansion of re in re 2.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.641 * [taylor]: Taking taylor expansion of im in re 2.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.642 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.642 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.642 * [taylor]: Taking taylor expansion of re in re 2.642 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.642 * [taylor]: Taking taylor expansion of im in re 2.642 * [taylor]: Taking taylor expansion of im in im 2.642 * [taylor]: Taking taylor expansion of 0 in im 2.644 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.644 * [taylor]: Taking taylor expansion of 1/2 in im 2.644 * [taylor]: Taking taylor expansion of im in im 2.646 * [taylor]: Taking taylor expansion of 0 in im 2.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.647 * [taylor]: Taking taylor expansion of im in im 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.647 * [taylor]: Taking taylor expansion of re in im 2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.649 * [taylor]: Taking taylor expansion of im in re 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.649 * [taylor]: Taking taylor expansion of re in re 2.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.652 * [taylor]: Taking taylor expansion of im in re 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.652 * [taylor]: Taking taylor expansion of re in re 2.654 * [taylor]: Taking taylor expansion of 1 in im 2.654 * [taylor]: Taking taylor expansion of 0 in im 2.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.656 * [taylor]: Taking taylor expansion of 1/2 in im 2.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.656 * [taylor]: Taking taylor expansion of im in im 2.659 * [taylor]: Taking taylor expansion of 0 in im 2.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.661 * [taylor]: Taking taylor expansion of im in im 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.661 * [taylor]: Taking taylor expansion of re in im 2.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.663 * [taylor]: Taking taylor expansion of im in re 2.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.663 * [taylor]: Taking taylor expansion of re in re 2.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.666 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.666 * [taylor]: Taking taylor expansion of im in re 2.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.666 * [taylor]: Taking taylor expansion of re in re 2.671 * [taylor]: Taking taylor expansion of 1 in im 2.671 * [taylor]: Taking taylor expansion of 0 in im 2.673 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.673 * [taylor]: Taking taylor expansion of 1/2 in im 2.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.673 * [taylor]: Taking taylor expansion of im in im 2.676 * [taylor]: Taking taylor expansion of 0 in im 2.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 2.677 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.677 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.677 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.678 * [taylor]: Taking taylor expansion of re in im 2.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.678 * [taylor]: Taking taylor expansion of im in im 2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.678 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.679 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.679 * [taylor]: Taking taylor expansion of re in re 2.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.679 * [taylor]: Taking taylor expansion of im in re 2.679 * [taylor]: Taking taylor expansion of im in im 2.679 * [taylor]: Taking taylor expansion of 0 in im 2.680 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.681 * [taylor]: Taking taylor expansion of 1/2 in im 2.681 * [taylor]: Taking taylor expansion of im in im 2.682 * [taylor]: Taking taylor expansion of 0 in im 2.683 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.683 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.683 * [taylor]: Taking taylor expansion of im in im 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.684 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.684 * [taylor]: Taking taylor expansion of re in im 2.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.686 * [taylor]: Taking taylor expansion of im in re 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.686 * [taylor]: Taking taylor expansion of re in re 2.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.689 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.689 * [taylor]: Taking taylor expansion of im in re 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.689 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.689 * [taylor]: Taking taylor expansion of re in re 2.691 * [taylor]: Taking taylor expansion of 1 in im 2.691 * [taylor]: Taking taylor expansion of 0 in im 2.693 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.693 * [taylor]: Taking taylor expansion of 1/2 in im 2.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.693 * [taylor]: Taking taylor expansion of im in im 2.696 * [taylor]: Taking taylor expansion of 0 in im 2.697 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.698 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.698 * [taylor]: Taking taylor expansion of im in im 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.698 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.698 * [taylor]: Taking taylor expansion of re in im 2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.700 * [taylor]: Taking taylor expansion of im in re 2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.700 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.700 * [taylor]: Taking taylor expansion of re in re 2.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.703 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.703 * [taylor]: Taking taylor expansion of im in re 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.703 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.703 * [taylor]: Taking taylor expansion of re in re 2.705 * [taylor]: Taking taylor expansion of 1 in im 2.705 * [taylor]: Taking taylor expansion of 0 in im 2.707 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.707 * [taylor]: Taking taylor expansion of 1/2 in im 2.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.707 * [taylor]: Taking taylor expansion of im in im 2.711 * [taylor]: Taking taylor expansion of 0 in im 2.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.712 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 2.712 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.712 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 2.712 * [taylor]: Taking taylor expansion of (fabs im) in re 2.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.713 * [taylor]: Taking taylor expansion of 2.0 in re 2.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.714 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.714 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.714 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.714 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.714 * [taylor]: Taking taylor expansion of im in re 2.715 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.715 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 2.715 * [taylor]: Taking taylor expansion of (fabs im) in im 2.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.715 * [taylor]: Taking taylor expansion of 2.0 in im 2.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.716 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.716 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.716 * [taylor]: Taking taylor expansion of re in im 2.716 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.716 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.716 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.716 * [taylor]: Taking taylor expansion of re in im 2.716 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.716 * [taylor]: Taking taylor expansion of im in im 2.717 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.717 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 2.717 * [taylor]: Taking taylor expansion of (fabs im) in im 2.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.717 * [taylor]: Taking taylor expansion of 2.0 in im 2.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.718 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.718 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.718 * [taylor]: Taking taylor expansion of re in im 2.718 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.718 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.718 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.718 * [taylor]: Taking taylor expansion of re in im 2.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.718 * [taylor]: Taking taylor expansion of im in im 2.720 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) in re 2.720 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) in re 2.720 * [taylor]: Taking taylor expansion of (fabs im) in re 2.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 2.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.720 * [taylor]: Taking taylor expansion of 2.0 in re 2.721 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.721 * [taylor]: Taking taylor expansion of 1/2 in re 2.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 2.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.721 * [taylor]: Taking taylor expansion of re in re 2.729 * [taylor]: Taking taylor expansion of 0 in re 2.742 * [taylor]: Taking taylor expansion of (neg (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 2.742 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 2.742 * [taylor]: Taking taylor expansion of 1/16 in re 2.743 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 2.743 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re 2.743 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 2.743 * [taylor]: Taking taylor expansion of (fabs im) in re 2.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.743 * [taylor]: Taking taylor expansion of 2.0 in re 2.743 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.743 * [taylor]: Taking taylor expansion of 1/2 in re 2.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 2.745 * [taylor]: Taking taylor expansion of (pow re 5) in re 2.745 * [taylor]: Taking taylor expansion of re in re 2.784 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.784 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.784 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 2.784 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.784 * [taylor]: Taking taylor expansion of 2.0 in re 2.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.785 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.785 * [taylor]: Taking taylor expansion of re in re 2.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.785 * [taylor]: Taking taylor expansion of im in re 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.785 * [taylor]: Taking taylor expansion of re in re 2.789 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.789 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 2.789 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 2.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.789 * [taylor]: Taking taylor expansion of 2.0 in im 2.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.790 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.790 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.790 * [taylor]: Taking taylor expansion of re in im 2.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.790 * [taylor]: Taking taylor expansion of im in im 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.791 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.791 * [taylor]: Taking taylor expansion of re in im 2.794 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.794 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 2.794 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 2.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.794 * [taylor]: Taking taylor expansion of 2.0 in im 2.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.795 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.795 * [taylor]: Taking taylor expansion of re in im 2.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.795 * [taylor]: Taking taylor expansion of im in im 2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.796 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.796 * [taylor]: Taking taylor expansion of re in im 2.800 * [taylor]: Taking taylor expansion of 0 in re 2.801 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) in re 2.801 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 2.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.801 * [taylor]: Taking taylor expansion of 2.0 in re 2.801 * [taylor]: Taking taylor expansion of NAN in re 2.807 * [taylor]: Taking taylor expansion of (+ (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) re)) in re 2.807 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) in re 2.807 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.807 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 2.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.807 * [taylor]: Taking taylor expansion of 2.0 in re 2.807 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 2.807 * [taylor]: Taking taylor expansion of NAN in re 2.807 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) re) in re 2.807 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) in re 2.807 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 2.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.808 * [taylor]: Taking taylor expansion of 2.0 in re 2.808 * [taylor]: Taking taylor expansion of NAN in re 2.808 * [taylor]: Taking taylor expansion of re in re 2.825 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) (pow re 2))) (+ (* 2 (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 5)))) (* 2 (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) re)))) in re 2.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) (pow re 2))) in re 2.825 * [taylor]: Taking taylor expansion of 1/2 in re 2.825 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) (pow re 2)) in re 2.825 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (* (sqrt 2.0) NAN)) in re 2.825 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.825 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 2.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.825 * [taylor]: Taking taylor expansion of 2.0 in re 2.826 * [taylor]: Taking taylor expansion of NAN in re 2.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.826 * [taylor]: Taking taylor expansion of re in re 2.828 * [taylor]: Taking taylor expansion of (+ (* 2 (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 5)))) (* 2 (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) re))) in re 2.828 * [taylor]: Taking taylor expansion of (* 2 (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 5)))) in re 2.828 * [taylor]: Taking taylor expansion of 2 in re 2.828 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 5))) in re 2.828 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.828 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in re 2.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.828 * [taylor]: Taking taylor expansion of 2.0 in re 2.829 * [taylor]: Taking taylor expansion of (pow NAN 5) in re 2.829 * [taylor]: Taking taylor expansion of NAN in re 2.829 * [taylor]: Taking taylor expansion of (* 2 (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) re)) in re 2.829 * [taylor]: Taking taylor expansion of 2 in re 2.829 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) re) in re 2.829 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (* (sqrt 2.0) (pow NAN 3))) in re 2.829 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 2.829 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 2.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.829 * [taylor]: Taking taylor expansion of 2.0 in re 2.830 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 2.830 * [taylor]: Taking taylor expansion of NAN in re 2.830 * [taylor]: Taking taylor expansion of re in re 2.862 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.862 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.862 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 2.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.862 * [taylor]: Taking taylor expansion of 2.0 in re 2.863 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.863 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.863 * [taylor]: Taking taylor expansion of im in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.863 * [taylor]: Taking taylor expansion of re in re 2.866 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.866 * [taylor]: Taking taylor expansion of re in re 2.870 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.870 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 2.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.870 * [taylor]: Taking taylor expansion of 2.0 in im 2.871 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 2.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.871 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.871 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.871 * [taylor]: Taking taylor expansion of im in im 2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.872 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.872 * [taylor]: Taking taylor expansion of re in im 2.874 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.874 * [taylor]: Taking taylor expansion of re in im 2.875 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.876 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 2.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.876 * [taylor]: Taking taylor expansion of 2.0 in im 2.876 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 2.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.876 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.876 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.876 * [taylor]: Taking taylor expansion of im in im 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.877 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.877 * [taylor]: Taking taylor expansion of re in im 2.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.879 * [taylor]: Taking taylor expansion of re in im 2.881 * [taylor]: Taking taylor expansion of 0 in re 2.882 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) in re 2.882 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.882 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 2.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.882 * [taylor]: Taking taylor expansion of 2.0 in re 2.883 * [taylor]: Taking taylor expansion of NAN in re 2.886 * [taylor]: Taking taylor expansion of (- (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) re) (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 3)))) in re 2.886 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) re) in re 2.886 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) in re 2.886 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.886 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 2.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.886 * [taylor]: Taking taylor expansion of 2.0 in re 2.887 * [taylor]: Taking taylor expansion of NAN in re 2.887 * [taylor]: Taking taylor expansion of re in re 2.889 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 3))) in re 2.889 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.889 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 2.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.889 * [taylor]: Taking taylor expansion of 2.0 in re 2.889 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 2.889 * [taylor]: Taking taylor expansion of NAN in re 2.899 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) (pow re 2))) (* 2 (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 5))))) (* 2 (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 3))) re))) in re 2.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) (pow re 2))) (* 2 (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 5))))) in re 2.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) (pow re 2))) in re 2.899 * [taylor]: Taking taylor expansion of 1/2 in re 2.899 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) (pow re 2)) in re 2.899 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (* (sqrt 2.0) NAN)) in re 2.899 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.899 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in re 2.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.899 * [taylor]: Taking taylor expansion of 2.0 in re 2.900 * [taylor]: Taking taylor expansion of NAN in re 2.900 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.900 * [taylor]: Taking taylor expansion of re in re 2.902 * [taylor]: Taking taylor expansion of (* 2 (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 5)))) in re 2.902 * [taylor]: Taking taylor expansion of 2 in re 2.902 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 5))) in re 2.902 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.902 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in re 2.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.902 * [taylor]: Taking taylor expansion of 2.0 in re 2.902 * [taylor]: Taking taylor expansion of (pow NAN 5) in re 2.902 * [taylor]: Taking taylor expansion of NAN in re 2.902 * [taylor]: Taking taylor expansion of (* 2 (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 3))) re)) in re 2.902 * [taylor]: Taking taylor expansion of 2 in re 2.902 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 3))) re) in re 2.903 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (* (sqrt 2.0) (pow NAN 3))) in re 2.903 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 2.903 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in re 2.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.903 * [taylor]: Taking taylor expansion of 2.0 in re 2.903 * [taylor]: Taking taylor expansion of (pow NAN 3) in re 2.903 * [taylor]: Taking taylor expansion of NAN in re 2.903 * [taylor]: Taking taylor expansion of re in re 2.915 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 2.915 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.915 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.915 * [taylor]: Taking taylor expansion of re in im 2.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.915 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.915 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.915 * [taylor]: Taking taylor expansion of re in im 2.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.915 * [taylor]: Taking taylor expansion of im in im 2.916 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.916 * [taylor]: Taking taylor expansion of re in re 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.916 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.916 * [taylor]: Taking taylor expansion of re in re 2.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.916 * [taylor]: Taking taylor expansion of im in re 2.916 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.916 * [taylor]: Taking taylor expansion of re in re 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.917 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.917 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.917 * [taylor]: Taking taylor expansion of re in re 2.917 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.917 * [taylor]: Taking taylor expansion of im in re 2.917 * [taylor]: Taking taylor expansion of im in im 2.917 * [taylor]: Taking taylor expansion of 1 in im 2.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.919 * [taylor]: Taking taylor expansion of 1/2 in im 2.919 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.919 * [taylor]: Taking taylor expansion of im in im 2.924 * [taylor]: Taking taylor expansion of 0 in im 2.926 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.926 * [taylor]: Taking taylor expansion of re in im 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.926 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.926 * [taylor]: Taking taylor expansion of re in im 2.928 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.928 * [taylor]: Taking taylor expansion of re in re 2.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.929 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.929 * [taylor]: Taking taylor expansion of im in re 2.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.929 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.929 * [taylor]: Taking taylor expansion of re in re 2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.931 * [taylor]: Taking taylor expansion of re in re 2.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.931 * [taylor]: Taking taylor expansion of im in re 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.932 * [taylor]: Taking taylor expansion of re in re 2.934 * [taylor]: Taking taylor expansion of 2 in im 2.935 * [taylor]: Taking taylor expansion of 0 in im 2.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.938 * [taylor]: Taking taylor expansion of 1/2 in im 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.938 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.938 * [taylor]: Taking taylor expansion of im in im 2.942 * [taylor]: Taking taylor expansion of 0 in im 2.944 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.944 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.944 * [taylor]: Taking taylor expansion of im in im 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.944 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.944 * [taylor]: Taking taylor expansion of re in im 2.946 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.947 * [taylor]: Taking taylor expansion of re in im 2.947 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.947 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.947 * [taylor]: Taking taylor expansion of im in re 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.947 * [taylor]: Taking taylor expansion of re in re 2.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.949 * [taylor]: Taking taylor expansion of re in re 2.949 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.950 * [taylor]: Taking taylor expansion of im in re 2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.950 * [taylor]: Taking taylor expansion of re in re 2.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.952 * [taylor]: Taking taylor expansion of re in re 2.953 * [taylor]: Taking taylor expansion of 0 in im 2.954 * [taylor]: Taking taylor expansion of 0 in im 2.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.956 * [taylor]: Taking taylor expansion of 1/2 in im 2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.956 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.956 * [taylor]: Taking taylor expansion of im in im 2.961 * [taylor]: Taking taylor expansion of 0 in im 2.963 * * * [progress]: simplifying candidates 2.964 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (* (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt 2.0) (sqrt (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* (fabs im) (fabs im)))) (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) im re (* -1 re) (- (+ (* (fabs im) (* (sqrt 2.0) (* (pow NAN 3) (* (sqrt 1/2) re)))) (* (fabs im) (* (sqrt 2.0) (* NAN (sqrt 1/2))))) (* 1/16 (/ (* (fabs im) (* (sqrt 2.0) (* (pow NAN 5) (pow im 2)))) (sqrt 1/2)))) (- (+ (/ (* (fabs im) (* (sqrt 2.0) (pow NAN 3))) (pow im 2)) (/ (* (fabs im) (* (sqrt 2.0) NAN)) im)) (* 2 (/ (* (fabs im) (* (sqrt 2.0) (pow NAN 5))) (pow im 3)))) (neg (+ (/ (* (fabs im) (* (sqrt 2.0) (* NAN re))) (pow im 2)) (+ (* 2 (/ (* (fabs im) (* (sqrt 2.0) (* (pow NAN 3) re))) (pow im 3))) (/ (* (fabs im) (* (sqrt 2.0) NAN)) im)))) (+ re im) (* 2 re) 0 2.969 * * [simplify]: iteration 0 : 324 enodes (cost 604 ) 2.974 * * [simplify]: iteration 1 : 1188 enodes (cost 571 ) 2.996 * * [simplify]: iteration 2 : 5001 enodes (cost 571 ) 3.000 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (pow (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 3) (sqrt 2.0) (fabs (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (fabs im) (fabs im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (+ (* re re) (- (pow im 2) (* re re))) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) im re (* -1 re) (+ (* -1/16 (/ (* (fabs im) (* (sqrt 2.0) (* (pow NAN 5) (pow im 2)))) (sqrt 1/2))) (* (* (fabs im) (sqrt 2.0)) (+ (* (pow NAN 3) (* (sqrt 1/2) re)) (* NAN (sqrt 1/2))))) (- (+ (/ (* (fabs im) (* (sqrt 2.0) (pow NAN 3))) (pow im 2)) (/ (* (fabs im) (* (sqrt 2.0) NAN)) im)) (* 2 (/ (* (fabs im) (* (sqrt 2.0) (pow NAN 5))) (pow im 3)))) (neg (+ (/ (* (fabs im) (* (sqrt 2.0) (* NAN re))) (pow im 2)) (+ (* 2 (/ (* (fabs im) (* (sqrt 2.0) (* (pow NAN 3) re))) (pow im 3))) (/ (* (fabs im) (* (sqrt 2.0) NAN)) im)))) (+ re im) (* 2 re) 0 3.000 * * * [progress]: adding candidates to table 3.317 * [progress]: [Phase 3 of 3] Extracting. 3.317 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.319 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.319 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 3.401 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 3.478 * * * [regime]: Found split indices: #