13.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.035 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.071 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.084 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.085 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.091 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of 1/2 in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of 1 in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.121 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.122 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of im in im 0.124 * [taylor]: Taking taylor expansion of 1 in im 0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [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) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of 2 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 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.153 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.173 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.173 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.173 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.173 * [taylor]: Taking taylor expansion of 2.0 in im 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.174 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.174 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.175 * [taylor]: Taking taylor expansion of 2.0 in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.176 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.177 * [taylor]: Taking taylor expansion of 2.0 in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.177 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.177 * [taylor]: Taking taylor expansion of 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 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.179 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.179 * [taylor]: Taking taylor expansion of 2.0 in im 0.179 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.181 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.181 * [taylor]: Taking taylor expansion of 1/2 in im 0.181 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 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 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.182 * [taylor]: Taking taylor expansion of im in im 0.193 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.193 * [taylor]: Taking taylor expansion of 1/8 in im 0.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.193 * [taylor]: Taking taylor expansion of 2.0 in im 0.194 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.194 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.194 * [taylor]: Taking taylor expansion of im in im 0.211 * [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 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.211 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.211 * [taylor]: Taking taylor expansion of re in im 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.212 * [taylor]: Taking taylor expansion of re in im 0.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.216 * [taylor]: Taking taylor expansion of 2.0 in re 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.217 * [taylor]: Taking taylor expansion of im in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.228 * [taylor]: Taking taylor expansion of 2.0 in re 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.229 * [taylor]: Taking taylor expansion of 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 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.229 * [taylor]: Taking taylor expansion of re in re 0.234 * [taylor]: Taking taylor expansion of 0 in im 0.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.235 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.235 * [taylor]: Taking taylor expansion of +nan.0 in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.242 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.242 * [taylor]: Taking taylor expansion of +nan.0 in im 0.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.242 * [taylor]: Taking taylor expansion of 2.0 in im 0.251 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.251 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.266 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.266 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.266 * [taylor]: Taking taylor expansion of +nan.0 in im 0.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.266 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.268 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.268 * [taylor]: Taking taylor expansion of +nan.0 in im 0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.268 * [taylor]: Taking taylor expansion of 2.0 in im 0.282 * [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 0.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.284 * [taylor]: Taking taylor expansion of re in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.288 * [taylor]: Taking taylor expansion of 2.0 in re 0.288 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.288 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.296 * [taylor]: Taking taylor expansion of 2.0 in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.297 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.300 * [taylor]: Taking taylor expansion of re in re 0.305 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.306 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.306 * [taylor]: Taking taylor expansion of +nan.0 in im 0.306 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.306 * [taylor]: Taking taylor expansion of 2.0 in im 0.306 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.306 * [taylor]: Taking taylor expansion of im in im 0.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.314 * [taylor]: Taking taylor expansion of +nan.0 in im 0.314 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.314 * [taylor]: Taking taylor expansion of 2.0 in im 0.315 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.340 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.340 * [taylor]: Taking taylor expansion of +nan.0 in im 0.341 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.341 * [taylor]: Taking taylor expansion of 2.0 in im 0.341 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.342 * [taylor]: Taking taylor expansion of +nan.0 in im 0.342 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.343 * [taylor]: Taking taylor expansion of 2.0 in im 0.343 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.367 * * * [progress]: simplifying candidates 0.368 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.373 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.378 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.392 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.441 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.443 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.444 * * * [progress]: adding candidates to table 0.629 * * [progress]: iteration 2 / 4 0.629 * * * [progress]: picking best candidate 0.647 * * * * [pick]: Picked # 0.647 * * * [progress]: localizing error 0.656 * * * [progress]: generating rewritten candidates 0.656 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.659 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.667 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 2) 0.669 * * * [progress]: generating series expansions 0.669 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.669 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.669 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.669 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.669 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.669 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.669 * [taylor]: Taking taylor expansion of (* re re) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.669 * [taylor]: Taking taylor expansion of (* im im) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.671 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.671 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.671 * [taylor]: Taking taylor expansion of (* re re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (* im im) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.672 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.672 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.672 * [taylor]: Taking taylor expansion of (* re re) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (* im im) in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of 1 in im 0.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.676 * [taylor]: Taking taylor expansion of 1/2 in im 0.676 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.676 * [taylor]: Taking taylor expansion of im in im 0.678 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.680 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.683 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.687 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.687 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.688 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.688 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.688 * [taylor]: Taking taylor expansion of im in re 0.688 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.688 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of 2 in im 0.691 * [taylor]: Taking taylor expansion of 0 in im 0.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.694 * [taylor]: Taking taylor expansion of 1/2 in im 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.694 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of 0 in im 0.701 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.701 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.701 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.701 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.701 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.701 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.701 * [taylor]: Taking taylor expansion of -1 in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.701 * [taylor]: Taking taylor expansion of -1 in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.701 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.701 * [taylor]: Taking taylor expansion of -1 in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.705 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.705 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.705 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.706 * [taylor]: Taking taylor expansion of -1 in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.709 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.709 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.709 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of 0 in im 0.714 * [taylor]: Taking taylor expansion of 0 in im 0.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.717 * [taylor]: Taking taylor expansion of 1/2 in im 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.717 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of 0 in im 0.724 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.724 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.724 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.724 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.725 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.725 * [taylor]: Taking taylor expansion of (* re re) in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of (* im im) in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.726 * [taylor]: Taking taylor expansion of 2.0 in im 0.727 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.727 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.727 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.727 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.727 * [taylor]: Taking taylor expansion of (* re re) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [taylor]: Taking taylor expansion of (* im im) in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.727 * [taylor]: Taking taylor expansion of im in re 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.729 * [taylor]: Taking taylor expansion of 2.0 in re 0.729 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.729 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.729 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.729 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.730 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.730 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.730 * [taylor]: Taking taylor expansion of (* re re) in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (* im im) in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.731 * [taylor]: Taking taylor expansion of 2.0 in re 0.732 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.732 * [taylor]: Taking taylor expansion of 2.0 in im 0.733 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.733 * [taylor]: Taking taylor expansion of im in im 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.735 * [taylor]: Taking taylor expansion of 1/2 in im 0.735 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.735 * [taylor]: Taking taylor expansion of 2.0 in im 0.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.736 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.747 * [taylor]: Taking taylor expansion of 1/8 in im 0.747 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.747 * [taylor]: Taking taylor expansion of 2.0 in im 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.748 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.772 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.773 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.778 * [taylor]: Taking taylor expansion of 2.0 in im 0.778 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.779 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.779 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.783 * [taylor]: Taking taylor expansion of 2.0 in re 0.784 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.784 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.784 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.784 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.784 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.789 * [taylor]: Taking taylor expansion of 2.0 in re 0.790 * [taylor]: Taking taylor expansion of 0 in im 0.791 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.791 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.791 * [taylor]: Taking taylor expansion of +nan.0 in im 0.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.791 * [taylor]: Taking taylor expansion of 2.0 in im 0.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.797 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.797 * [taylor]: Taking taylor expansion of +nan.0 in im 0.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.797 * [taylor]: Taking taylor expansion of 2.0 in im 0.806 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.806 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.806 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.806 * [taylor]: Taking taylor expansion of +nan.0 in im 0.806 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.806 * [taylor]: Taking taylor expansion of 2.0 in im 0.807 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.808 * [taylor]: Taking taylor expansion of +nan.0 in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.820 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.820 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.820 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.820 * [taylor]: Taking taylor expansion of +nan.0 in im 0.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.820 * [taylor]: Taking taylor expansion of 2.0 in im 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.822 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.822 * [taylor]: Taking taylor expansion of +nan.0 in im 0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.822 * [taylor]: Taking taylor expansion of 2.0 in im 0.835 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.835 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.835 * [taylor]: Taking taylor expansion of 2.0 in im 0.836 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.836 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.836 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.836 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.836 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.836 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.836 * [taylor]: Taking taylor expansion of -1 in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.836 * [taylor]: Taking taylor expansion of -1 in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.836 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.836 * [taylor]: Taking taylor expansion of -1 in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.836 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.837 * [taylor]: Taking taylor expansion of -1 in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.845 * [taylor]: Taking taylor expansion of re in im 0.846 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.847 * [taylor]: Taking taylor expansion of 2.0 in re 0.847 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.847 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.847 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.847 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.847 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.847 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.847 * [taylor]: Taking taylor expansion of -1 in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.848 * [taylor]: Taking taylor expansion of -1 in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.848 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.848 * [taylor]: Taking taylor expansion of -1 in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.848 * [taylor]: Taking taylor expansion of -1 in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.857 * [taylor]: Taking taylor expansion of 2.0 in re 0.857 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.857 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.857 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.857 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.857 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.857 * [taylor]: Taking taylor expansion of -1 in re 0.857 * [taylor]: Taking taylor expansion of re in re 0.858 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.858 * [taylor]: Taking taylor expansion of -1 in re 0.858 * [taylor]: Taking taylor expansion of re in re 0.858 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.858 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.858 * [taylor]: Taking taylor expansion of -1 in re 0.858 * [taylor]: Taking taylor expansion of im in re 0.858 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.858 * [taylor]: Taking taylor expansion of -1 in re 0.858 * [taylor]: Taking taylor expansion of im in re 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.867 * [taylor]: Taking taylor expansion of 0 in im 0.867 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.867 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.868 * [taylor]: Taking taylor expansion of +nan.0 in im 0.868 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.868 * [taylor]: Taking taylor expansion of 2.0 in im 0.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.868 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.876 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.876 * [taylor]: Taking taylor expansion of +nan.0 in im 0.876 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.876 * [taylor]: Taking taylor expansion of 2.0 in im 0.877 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.894 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.894 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.894 * [taylor]: Taking taylor expansion of +nan.0 in im 0.894 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.894 * [taylor]: Taking taylor expansion of 2.0 in im 0.894 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.895 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.895 * [taylor]: Taking taylor expansion of +nan.0 in im 0.895 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.896 * [taylor]: Taking taylor expansion of 2.0 in im 0.896 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.919 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 2) 0.919 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.919 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.919 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.919 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.919 * [taylor]: Taking taylor expansion of (* re re) in im 0.919 * [taylor]: Taking taylor expansion of re in im 0.919 * [taylor]: Taking taylor expansion of re in im 0.919 * [taylor]: Taking taylor expansion of (* im im) in im 0.919 * [taylor]: Taking taylor expansion of im in im 0.919 * [taylor]: Taking taylor expansion of im in im 0.920 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.920 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.920 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.920 * [taylor]: Taking taylor expansion of (* re re) in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (* im im) in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.922 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.922 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.922 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.922 * [taylor]: Taking taylor expansion of (* re re) in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [taylor]: Taking taylor expansion of (* im im) in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.923 * [taylor]: Taking taylor expansion of im in im 0.923 * [taylor]: Taking taylor expansion of 0 in im 0.930 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.930 * [taylor]: Taking taylor expansion of 1/2 in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of 0 in im 0.933 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.933 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.937 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.937 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.938 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.938 * [taylor]: Taking taylor expansion of im in re 0.940 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.940 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.940 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.940 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.941 * [taylor]: Taking taylor expansion of im in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.941 * [taylor]: Taking taylor expansion of im in re 0.944 * [taylor]: Taking taylor expansion of 1 in im 0.944 * [taylor]: Taking taylor expansion of 0 in im 0.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.946 * [taylor]: Taking taylor expansion of 1/2 in im 0.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of 0 in im 0.951 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.951 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.951 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.951 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.951 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.951 * [taylor]: Taking taylor expansion of -1 in im 0.951 * [taylor]: Taking taylor expansion of re in im 0.951 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.951 * [taylor]: Taking taylor expansion of -1 in im 0.951 * [taylor]: Taking taylor expansion of re in im 0.952 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.952 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.952 * [taylor]: Taking taylor expansion of -1 in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.952 * [taylor]: Taking taylor expansion of -1 in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.955 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.955 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.955 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.955 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.955 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.955 * [taylor]: Taking taylor expansion of -1 in re 0.955 * [taylor]: Taking taylor expansion of re in re 0.955 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.955 * [taylor]: Taking taylor expansion of -1 in re 0.955 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.958 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.958 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.962 * [taylor]: Taking taylor expansion of 1 in im 0.962 * [taylor]: Taking taylor expansion of 0 in im 0.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.965 * [taylor]: Taking taylor expansion of 1/2 in im 0.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.968 * [taylor]: Taking taylor expansion of 0 in im 0.970 * * * [progress]: simplifying candidates 0.970 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) 0.974 * * [simplify]: iteration 0 : 219 enodes (cost 232 ) 0.978 * * [simplify]: iteration 1 : 647 enodes (cost 208 ) 0.992 * * [simplify]: iteration 2 : 2702 enodes (cost 200 ) 1.043 * * [simplify]: iteration 3 : 5001 enodes (cost 199 ) 1.044 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 im re (* -1 re) 1.045 * * * [progress]: adding candidates to table 1.180 * * [progress]: iteration 3 / 4 1.180 * * * [progress]: picking best candidate 1.205 * * * * [pick]: Picked # 1.205 * * * [progress]: localizing error 1.214 * * * [progress]: generating rewritten candidates 1.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.231 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.236 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 1.238 * * * [progress]: generating series expansions 1.238 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.238 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.238 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.238 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.238 * [taylor]: Taking taylor expansion of (* re re) in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (* im im) in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.240 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.240 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.240 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.240 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.240 * [taylor]: Taking taylor expansion of (* re re) in re 1.240 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of (* im im) in re 1.240 * [taylor]: Taking taylor expansion of im in re 1.240 * [taylor]: Taking taylor expansion of im in re 1.241 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.241 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.241 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.241 * [taylor]: Taking taylor expansion of (* re re) in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (* im im) in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of im in im 1.243 * [taylor]: Taking taylor expansion of 1 in im 1.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.245 * [taylor]: Taking taylor expansion of 1/2 in im 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.245 * [taylor]: Taking taylor expansion of im in im 1.247 * [taylor]: Taking taylor expansion of 0 in im 1.248 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.249 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.249 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.249 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.249 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.249 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.249 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.249 * [taylor]: Taking taylor expansion of im in im 1.249 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.249 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.252 * [taylor]: Taking taylor expansion of re in re 1.252 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.252 * [taylor]: Taking taylor expansion of re in re 1.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.253 * [taylor]: Taking taylor expansion of re in re 1.253 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.253 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.253 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.256 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.256 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.256 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.257 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.257 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.257 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.257 * [taylor]: Taking taylor expansion of im in re 1.260 * [taylor]: Taking taylor expansion of 2 in im 1.260 * [taylor]: Taking taylor expansion of 0 in im 1.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.268 * [taylor]: Taking taylor expansion of 1/2 in im 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.273 * [taylor]: Taking taylor expansion of 0 in im 1.275 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.275 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.275 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.275 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.275 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.275 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.275 * [taylor]: Taking taylor expansion of -1 in im 1.275 * [taylor]: Taking taylor expansion of re in im 1.275 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.275 * [taylor]: Taking taylor expansion of -1 in im 1.275 * [taylor]: Taking taylor expansion of re in im 1.275 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.275 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.275 * [taylor]: Taking taylor expansion of -1 in im 1.275 * [taylor]: Taking taylor expansion of im in im 1.276 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.276 * [taylor]: Taking taylor expansion of -1 in im 1.276 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.278 * [taylor]: Taking taylor expansion of re in im 1.279 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.279 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.279 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.279 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.279 * [taylor]: Taking taylor expansion of -1 in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.279 * [taylor]: Taking taylor expansion of -1 in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.279 * [taylor]: Taking taylor expansion of -1 in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.279 * [taylor]: Taking taylor expansion of -1 in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.282 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.283 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.283 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.283 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.283 * [taylor]: Taking taylor expansion of -1 in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.283 * [taylor]: Taking taylor expansion of -1 in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.283 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.283 * [taylor]: Taking taylor expansion of -1 in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.283 * [taylor]: Taking taylor expansion of -1 in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.286 * [taylor]: Taking taylor expansion of re in re 1.287 * [taylor]: Taking taylor expansion of 0 in im 1.288 * [taylor]: Taking taylor expansion of 0 in im 1.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.291 * [taylor]: Taking taylor expansion of 1/2 in im 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.297 * [taylor]: Taking taylor expansion of 0 in im 1.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.299 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.299 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.299 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.299 * [taylor]: Taking taylor expansion of re in im 1.299 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.299 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.299 * [taylor]: Taking taylor expansion of (* re re) in im 1.299 * [taylor]: Taking taylor expansion of re in im 1.299 * [taylor]: Taking taylor expansion of re in im 1.299 * [taylor]: Taking taylor expansion of (* im im) in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.300 * [taylor]: Taking taylor expansion of 2.0 in im 1.301 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.301 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.301 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.301 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.301 * [taylor]: Taking taylor expansion of (* re re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of (* im im) in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.303 * [taylor]: Taking taylor expansion of 2.0 in re 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.304 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.304 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.304 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.304 * [taylor]: Taking taylor expansion of (* re re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (* im im) in re 1.304 * [taylor]: Taking taylor expansion of im in re 1.304 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.305 * [taylor]: Taking taylor expansion of 2.0 in re 1.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.306 * [taylor]: Taking taylor expansion of 2.0 in im 1.307 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.307 * [taylor]: Taking taylor expansion of im in im 1.309 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.309 * [taylor]: Taking taylor expansion of 1/2 in im 1.309 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.309 * [taylor]: Taking taylor expansion of 2.0 in im 1.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.310 * [taylor]: Taking taylor expansion of im in im 1.321 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.321 * [taylor]: Taking taylor expansion of 1/8 in im 1.321 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.321 * [taylor]: Taking taylor expansion of 2.0 in im 1.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.322 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.322 * [taylor]: Taking taylor expansion of im in im 1.337 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.337 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.337 * [taylor]: Taking taylor expansion of re in im 1.337 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.337 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.337 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.342 * [taylor]: Taking taylor expansion of 2.0 in im 1.343 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.343 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.343 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.343 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.344 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.344 * [taylor]: Taking taylor expansion of im in re 1.344 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.344 * [taylor]: Taking taylor expansion of im in re 1.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.348 * [taylor]: Taking taylor expansion of 2.0 in re 1.349 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.349 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.349 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.359 * [taylor]: Taking taylor expansion of 2.0 in re 1.360 * [taylor]: Taking taylor expansion of 0 in im 1.362 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.362 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.362 * [taylor]: Taking taylor expansion of +nan.0 in im 1.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.362 * [taylor]: Taking taylor expansion of 2.0 in im 1.368 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.368 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.368 * [taylor]: Taking taylor expansion of +nan.0 in im 1.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.368 * [taylor]: Taking taylor expansion of 2.0 in im 1.377 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.377 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.377 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.377 * [taylor]: Taking taylor expansion of +nan.0 in im 1.377 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.377 * [taylor]: Taking taylor expansion of 2.0 in im 1.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.379 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.379 * [taylor]: Taking taylor expansion of +nan.0 in im 1.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.379 * [taylor]: Taking taylor expansion of 2.0 in im 1.391 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.391 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.391 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.391 * [taylor]: Taking taylor expansion of +nan.0 in im 1.391 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.391 * [taylor]: Taking taylor expansion of 2.0 in im 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.392 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.392 * [taylor]: Taking taylor expansion of +nan.0 in im 1.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.392 * [taylor]: Taking taylor expansion of 2.0 in im 1.406 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.406 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.406 * [taylor]: Taking taylor expansion of 2.0 in im 1.407 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.407 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.407 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.407 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.407 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of im in im 1.408 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.408 * [taylor]: Taking taylor expansion of -1 in im 1.408 * [taylor]: Taking taylor expansion of im in im 1.411 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.412 * [taylor]: Taking taylor expansion of 2.0 in re 1.413 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.413 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.413 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.413 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.413 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.413 * [taylor]: Taking taylor expansion of -1 in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.413 * [taylor]: Taking taylor expansion of -1 in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.416 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.416 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.422 * [taylor]: Taking taylor expansion of 2.0 in re 1.423 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.423 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.423 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.423 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.423 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.423 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.423 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.423 * [taylor]: Taking taylor expansion of -1 in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.423 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.423 * [taylor]: Taking taylor expansion of -1 in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.424 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.424 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.424 * [taylor]: Taking taylor expansion of -1 in re 1.424 * [taylor]: Taking taylor expansion of im in re 1.424 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.424 * [taylor]: Taking taylor expansion of -1 in re 1.424 * [taylor]: Taking taylor expansion of im in re 1.426 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.432 * [taylor]: Taking taylor expansion of 0 in im 1.433 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.433 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.433 * [taylor]: Taking taylor expansion of +nan.0 in im 1.433 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.433 * [taylor]: Taking taylor expansion of 2.0 in im 1.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.448 * [taylor]: Taking taylor expansion of +nan.0 in im 1.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.448 * [taylor]: Taking taylor expansion of 2.0 in im 1.448 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.465 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.465 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.465 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.465 * [taylor]: Taking taylor expansion of +nan.0 in im 1.465 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.465 * [taylor]: Taking taylor expansion of 2.0 in im 1.466 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.467 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.467 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.467 * [taylor]: Taking taylor expansion of +nan.0 in im 1.467 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.467 * [taylor]: Taking taylor expansion of 2.0 in im 1.467 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.490 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.490 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.490 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.490 * [taylor]: Taking taylor expansion of re in im 1.490 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.490 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.491 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.491 * [taylor]: Taking taylor expansion of (* re re) in im 1.491 * [taylor]: Taking taylor expansion of re in im 1.491 * [taylor]: Taking taylor expansion of re in im 1.491 * [taylor]: Taking taylor expansion of (* im im) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.492 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.492 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.492 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.492 * [taylor]: Taking taylor expansion of (* re re) in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of (* im im) in re 1.492 * [taylor]: Taking taylor expansion of im in re 1.492 * [taylor]: Taking taylor expansion of im in re 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.494 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.494 * [taylor]: Taking taylor expansion of re in re 1.494 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.494 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.494 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.494 * [taylor]: Taking taylor expansion of (* re re) in re 1.494 * [taylor]: Taking taylor expansion of re in re 1.494 * [taylor]: Taking taylor expansion of re in re 1.494 * [taylor]: Taking taylor expansion of (* im im) in re 1.494 * [taylor]: Taking taylor expansion of im in re 1.494 * [taylor]: Taking taylor expansion of im in re 1.496 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.497 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.497 * [taylor]: Taking taylor expansion of 1/2 in im 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.497 * [taylor]: Taking taylor expansion of im in im 1.501 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.501 * [taylor]: Taking taylor expansion of 1/8 in im 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.501 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 1.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.508 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.508 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.508 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.509 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.513 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.513 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.513 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.513 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.514 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.518 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.518 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.519 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.519 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.519 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.522 * [taylor]: Taking taylor expansion of 0 in im 1.522 * [taylor]: Taking taylor expansion of +nan.0 in im 1.531 * [taylor]: Taking taylor expansion of +nan.0 in im 1.535 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.535 * [taylor]: Taking taylor expansion of +nan.0 in im 1.535 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.536 * [taylor]: Taking taylor expansion of 1/2 in im 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.536 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.536 * [taylor]: Taking taylor expansion of im in im 1.536 * [taylor]: Taking taylor expansion of +nan.0 in im 1.542 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.542 * [taylor]: Taking taylor expansion of +nan.0 in im 1.542 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.542 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.542 * [taylor]: Taking taylor expansion of +nan.0 in im 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.543 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.543 * [taylor]: Taking taylor expansion of +nan.0 in im 1.550 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.550 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.550 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.550 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.550 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.550 * [taylor]: Taking taylor expansion of -1 in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.550 * [taylor]: Taking taylor expansion of -1 in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.550 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.550 * [taylor]: Taking taylor expansion of -1 in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.551 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.551 * [taylor]: Taking taylor expansion of -1 in im 1.551 * [taylor]: Taking taylor expansion of im in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.555 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.555 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.555 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.555 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.555 * [taylor]: Taking taylor expansion of -1 in re 1.555 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of im in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of im in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.564 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.564 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.564 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.564 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.564 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.564 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.565 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.565 * [taylor]: Taking taylor expansion of -1 in re 1.565 * [taylor]: Taking taylor expansion of re in re 1.565 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.565 * [taylor]: Taking taylor expansion of -1 in re 1.565 * [taylor]: Taking taylor expansion of re in re 1.565 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.565 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.565 * [taylor]: Taking taylor expansion of -1 in re 1.565 * [taylor]: Taking taylor expansion of im in re 1.565 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.565 * [taylor]: Taking taylor expansion of -1 in re 1.565 * [taylor]: Taking taylor expansion of im in re 1.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.573 * [taylor]: Taking taylor expansion of 0 in im 1.574 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.574 * [taylor]: Taking taylor expansion of +nan.0 in im 1.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.574 * [taylor]: Taking taylor expansion of im in im 1.579 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.579 * [taylor]: Taking taylor expansion of +nan.0 in im 1.579 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.579 * [taylor]: Taking taylor expansion of im in im 1.590 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.590 * [taylor]: Taking taylor expansion of +nan.0 in im 1.590 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.590 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.590 * [taylor]: Taking taylor expansion of 1/8 in im 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.590 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.591 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.591 * [taylor]: Taking taylor expansion of +nan.0 in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.591 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.591 * [taylor]: Taking taylor expansion of im in im 1.621 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 1.621 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.621 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.621 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.621 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.621 * [taylor]: Taking taylor expansion of (* re re) in im 1.621 * [taylor]: Taking taylor expansion of re in im 1.621 * [taylor]: Taking taylor expansion of re in im 1.621 * [taylor]: Taking taylor expansion of (* im im) in im 1.621 * [taylor]: Taking taylor expansion of im in im 1.621 * [taylor]: Taking taylor expansion of im in im 1.622 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.622 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.622 * [taylor]: Taking taylor expansion of (* re re) in re 1.622 * [taylor]: Taking taylor expansion of re in re 1.622 * [taylor]: Taking taylor expansion of re in re 1.622 * [taylor]: Taking taylor expansion of (* im im) in re 1.622 * [taylor]: Taking taylor expansion of im in re 1.622 * [taylor]: Taking taylor expansion of im in re 1.623 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.624 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.624 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.624 * [taylor]: Taking taylor expansion of (* re re) in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of (* im im) in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.625 * [taylor]: Taking taylor expansion of im in im 1.625 * [taylor]: Taking taylor expansion of 0 in im 1.626 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.626 * [taylor]: Taking taylor expansion of 1/2 in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.628 * [taylor]: Taking taylor expansion of 0 in im 1.629 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.629 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.629 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.629 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.629 * [taylor]: Taking taylor expansion of re in im 1.629 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.629 * [taylor]: Taking taylor expansion of re in im 1.629 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.629 * [taylor]: Taking taylor expansion of im in im 1.630 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.630 * [taylor]: Taking taylor expansion of im in im 1.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.633 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.633 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.633 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.633 * [taylor]: Taking taylor expansion of re in re 1.633 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.633 * [taylor]: Taking taylor expansion of re in re 1.633 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.633 * [taylor]: Taking taylor expansion of im in re 1.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.633 * [taylor]: Taking taylor expansion of im in re 1.636 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.636 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.636 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.636 * [taylor]: Taking taylor expansion of re in re 1.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.636 * [taylor]: Taking taylor expansion of re in re 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.637 * [taylor]: Taking taylor expansion of im in re 1.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.637 * [taylor]: Taking taylor expansion of im in re 1.639 * [taylor]: Taking taylor expansion of 1 in im 1.639 * [taylor]: Taking taylor expansion of 0 in im 1.642 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.642 * [taylor]: Taking taylor expansion of 1/2 in im 1.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.642 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of 0 in im 1.647 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.647 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.647 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.647 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.647 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.647 * [taylor]: Taking taylor expansion of -1 in im 1.647 * [taylor]: Taking taylor expansion of re in im 1.647 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.647 * [taylor]: Taking taylor expansion of -1 in im 1.647 * [taylor]: Taking taylor expansion of re in im 1.647 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.647 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.647 * [taylor]: Taking taylor expansion of -1 in im 1.647 * [taylor]: Taking taylor expansion of im in im 1.648 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.648 * [taylor]: Taking taylor expansion of -1 in im 1.648 * [taylor]: Taking taylor expansion of im in im 1.651 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.651 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.651 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.651 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.651 * [taylor]: Taking taylor expansion of -1 in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.651 * [taylor]: Taking taylor expansion of -1 in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.652 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.652 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.652 * [taylor]: Taking taylor expansion of -1 in re 1.652 * [taylor]: Taking taylor expansion of im in re 1.652 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.652 * [taylor]: Taking taylor expansion of -1 in re 1.652 * [taylor]: Taking taylor expansion of im in re 1.654 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.654 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.654 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.655 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.655 * [taylor]: Taking taylor expansion of -1 in re 1.655 * [taylor]: Taking taylor expansion of re in re 1.655 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.655 * [taylor]: Taking taylor expansion of -1 in re 1.655 * [taylor]: Taking taylor expansion of re in re 1.655 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.655 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.655 * [taylor]: Taking taylor expansion of -1 in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.655 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.655 * [taylor]: Taking taylor expansion of -1 in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.658 * [taylor]: Taking taylor expansion of 1 in im 1.658 * [taylor]: Taking taylor expansion of 0 in im 1.661 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.661 * [taylor]: Taking taylor expansion of 1/2 in im 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.661 * [taylor]: Taking taylor expansion of im in im 1.665 * [taylor]: Taking taylor expansion of 0 in im 1.666 * * * [progress]: simplifying candidates 1.667 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* 2.0 (+ (* 1 (hypot re im)) re)) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* 2.0 (+ (* 1 (hypot re im)) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (* 1 (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (exp (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* 2.0 (+ (* 1 (hypot re im)) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (expm1 (sqrt (+ (* 1 (hypot re im)) re))) (log1p (sqrt (+ (* 1 (hypot re im)) re))) (log (sqrt (+ (* 1 (hypot re im)) re))) (exp (sqrt (+ (* 1 (hypot re im)) re))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt 1) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt 1) (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* 1 (hypot re im)) re)) (/ 1 2) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 im re (* -1 re) 1.672 * * [simplify]: iteration 0 : 325 enodes (cost 527 ) 1.678 * * [simplify]: iteration 1 : 1121 enodes (cost 472 ) 1.701 * * [simplify]: iteration 2 : 5002 enodes (cost 462 ) 1.704 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* 2.0 (fma 1 (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (fma 1 (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (pow (exp (sqrt (+ (hypot re im) re))) (sqrt 2.0)) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* 2.0 (fma 1 (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (fabs (cbrt (+ (* 1 (hypot re im)) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt 2.0) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (expm1 (sqrt (+ (* 1 (hypot re im)) re))) (log1p (sqrt (+ (* 1 (hypot re im)) re))) (log (sqrt (+ (hypot re im) re))) (exp (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (pow (sqrt (+ (hypot re im) re)) 3) (fabs (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) 1 (sqrt (+ (hypot re im) re)) 1 (sqrt (+ (hypot re im) re)) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* 1 (hypot re im)) re)) 1/2 (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 im re (* -1 re) 1.704 * * * [progress]: adding candidates to table 1.958 * * [progress]: iteration 4 / 4 1.958 * * * [progress]: picking best candidate 1.977 * * * * [pick]: Picked # 1.977 * * * [progress]: localizing error 1.987 * * * [progress]: generating rewritten candidates 1.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.990 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.036 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 2.043 * * * [progress]: generating series expansions 2.043 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 2.044 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.044 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.044 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.044 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.044 * [taylor]: Taking taylor expansion of (* re re) in im 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of (* im im) in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.045 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.045 * [taylor]: Taking taylor expansion of re in re 2.045 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.046 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.046 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.046 * [taylor]: Taking taylor expansion of (* re re) in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.046 * [taylor]: Taking taylor expansion of (* im im) in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.047 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.047 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.047 * [taylor]: Taking taylor expansion of (* re re) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of (* im im) in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.048 * [taylor]: Taking taylor expansion of im in im 2.049 * [taylor]: Taking taylor expansion of 1 in im 2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.050 * [taylor]: Taking taylor expansion of 1/2 in im 2.050 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.050 * [taylor]: Taking taylor expansion of im in im 2.053 * [taylor]: Taking taylor expansion of 0 in im 2.054 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.054 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.054 * [taylor]: Taking taylor expansion of re in im 2.054 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.054 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.054 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.054 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.054 * [taylor]: Taking taylor expansion of re in im 2.055 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.055 * [taylor]: Taking taylor expansion of re in im 2.055 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.055 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.055 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.058 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.059 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.059 * [taylor]: Taking taylor expansion of im in re 2.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.059 * [taylor]: Taking taylor expansion of im in re 2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.061 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.061 * [taylor]: Taking taylor expansion of re in re 2.062 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.062 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.062 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.062 * [taylor]: Taking taylor expansion of re in re 2.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.062 * [taylor]: Taking taylor expansion of re in re 2.062 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.062 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.062 * [taylor]: Taking taylor expansion of im in re 2.063 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.063 * [taylor]: Taking taylor expansion of im in re 2.065 * [taylor]: Taking taylor expansion of 2 in im 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.069 * [taylor]: Taking taylor expansion of 1/2 in im 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.069 * [taylor]: Taking taylor expansion of im in im 2.074 * [taylor]: Taking taylor expansion of 0 in im 2.076 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.076 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.076 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.076 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.076 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.076 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.076 * [taylor]: Taking taylor expansion of -1 in im 2.076 * [taylor]: Taking taylor expansion of re in im 2.076 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.076 * [taylor]: Taking taylor expansion of -1 in im 2.076 * [taylor]: Taking taylor expansion of re in im 2.076 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.076 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.076 * [taylor]: Taking taylor expansion of -1 in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.076 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.076 * [taylor]: Taking taylor expansion of -1 in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.079 * [taylor]: Taking taylor expansion of re in im 2.079 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.079 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.080 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.080 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.083 * [taylor]: Taking taylor expansion of re in re 2.083 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.083 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.083 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.083 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.083 * [taylor]: Taking taylor expansion of -1 in re 2.083 * [taylor]: Taking taylor expansion of re in re 2.084 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.084 * [taylor]: Taking taylor expansion of -1 in re 2.084 * [taylor]: Taking taylor expansion of re in re 2.084 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.084 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.084 * [taylor]: Taking taylor expansion of -1 in re 2.084 * [taylor]: Taking taylor expansion of im in re 2.084 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.084 * [taylor]: Taking taylor expansion of -1 in re 2.084 * [taylor]: Taking taylor expansion of im in re 2.087 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.087 * [taylor]: Taking taylor expansion of re in re 2.088 * [taylor]: Taking taylor expansion of 0 in im 2.089 * [taylor]: Taking taylor expansion of 0 in im 2.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.092 * [taylor]: Taking taylor expansion of 1/2 in im 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.092 * [taylor]: Taking taylor expansion of im in im 2.097 * [taylor]: Taking taylor expansion of 0 in im 2.099 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.099 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 2.099 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 2.099 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 2.099 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.099 * [taylor]: Taking taylor expansion of re in im 2.099 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.100 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.100 * [taylor]: Taking taylor expansion of (* re re) in im 2.100 * [taylor]: Taking taylor expansion of re in im 2.100 * [taylor]: Taking taylor expansion of re in im 2.100 * [taylor]: Taking taylor expansion of (* im im) in im 2.100 * [taylor]: Taking taylor expansion of im in im 2.100 * [taylor]: Taking taylor expansion of im in im 2.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.101 * [taylor]: Taking taylor expansion of 2.0 in im 2.103 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.103 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.103 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.103 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.103 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.103 * [taylor]: Taking taylor expansion of (* re re) in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [taylor]: Taking taylor expansion of (* im im) in re 2.103 * [taylor]: Taking taylor expansion of im in re 2.103 * [taylor]: Taking taylor expansion of im in re 2.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.105 * [taylor]: Taking taylor expansion of 2.0 in re 2.107 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.107 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.107 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.107 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.107 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.107 * [taylor]: Taking taylor expansion of (* re re) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [taylor]: Taking taylor expansion of (* im im) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.109 * [taylor]: Taking taylor expansion of 2.0 in re 2.111 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 2.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.111 * [taylor]: Taking taylor expansion of 2.0 in im 2.112 * [taylor]: Taking taylor expansion of im in im 2.120 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 2.121 * [taylor]: Taking taylor expansion of 1/2 in im 2.121 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 2.121 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.121 * [taylor]: Taking taylor expansion of 2.0 in im 2.121 * [taylor]: Taking taylor expansion of im in im 2.130 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 2.130 * [taylor]: Taking taylor expansion of 1/8 in im 2.130 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 2.130 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 2.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.131 * [taylor]: Taking taylor expansion of 2.0 in im 2.131 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.131 * [taylor]: Taking taylor expansion of im in im 2.146 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in (re im) around 0 2.146 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in im 2.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in im 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.146 * [taylor]: Taking taylor expansion of re in im 2.146 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.146 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.146 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.146 * [taylor]: Taking taylor expansion of re in im 2.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.147 * [taylor]: Taking taylor expansion of im in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.147 * [taylor]: Taking taylor expansion of im in im 2.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.150 * [taylor]: Taking taylor expansion of 2.0 in im 2.152 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 2.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.152 * [taylor]: Taking taylor expansion of re in re 2.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.153 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.153 * [taylor]: Taking taylor expansion of re in re 2.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.153 * [taylor]: Taking taylor expansion of re in re 2.153 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.154 * [taylor]: Taking taylor expansion of im in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.154 * [taylor]: Taking taylor expansion of im in re 2.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.157 * [taylor]: Taking taylor expansion of 2.0 in re 2.160 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 2.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 2.160 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.160 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.160 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.161 * [taylor]: Taking taylor expansion of re in re 2.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.161 * [taylor]: Taking taylor expansion of im in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.161 * [taylor]: Taking taylor expansion of im in re 2.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.164 * [taylor]: Taking taylor expansion of 2.0 in re 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.167 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.167 * [taylor]: Taking taylor expansion of +nan.0 in im 2.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.167 * [taylor]: Taking taylor expansion of 2.0 in im 2.171 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 2.171 * [taylor]: Taking taylor expansion of +nan.0 in im 2.172 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.172 * [taylor]: Taking taylor expansion of 2.0 in im 2.182 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 2.182 * [taylor]: Taking taylor expansion of +nan.0 in im 2.182 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 2.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.182 * [taylor]: Taking taylor expansion of 1/2 in im 2.182 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.182 * [taylor]: Taking taylor expansion of 2.0 in im 2.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.183 * [taylor]: Taking taylor expansion of im in im 2.184 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 2.184 * [taylor]: Taking taylor expansion of +nan.0 in im 2.184 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.184 * [taylor]: Taking taylor expansion of 2.0 in im 2.200 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 2.200 * [taylor]: Taking taylor expansion of +nan.0 in im 2.200 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 2.200 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.200 * [taylor]: Taking taylor expansion of +nan.0 in im 2.200 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.200 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.200 * [taylor]: Taking taylor expansion of 2.0 in im 2.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.207 * [taylor]: Taking taylor expansion of im in im 2.209 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 2.209 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 2.209 * [taylor]: Taking taylor expansion of +nan.0 in im 2.209 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 2.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.209 * [taylor]: Taking taylor expansion of 2.0 in im 2.233 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.233 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.234 * [taylor]: Taking taylor expansion of 2.0 in im 2.234 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.234 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.234 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.234 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.234 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.234 * [taylor]: Taking taylor expansion of -1 in im 2.234 * [taylor]: Taking taylor expansion of re in im 2.234 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [taylor]: Taking taylor expansion of re in im 2.235 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [taylor]: Taking taylor expansion of im in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [taylor]: Taking taylor expansion of im in im 2.238 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.238 * [taylor]: Taking taylor expansion of re in im 2.240 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.240 * [taylor]: Taking taylor expansion of 2.0 in re 2.241 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.241 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.241 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.241 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.241 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.241 * [taylor]: Taking taylor expansion of -1 in re 2.241 * [taylor]: Taking taylor expansion of re in re 2.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.242 * [taylor]: Taking taylor expansion of -1 in re 2.242 * [taylor]: Taking taylor expansion of re in re 2.242 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.242 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.242 * [taylor]: Taking taylor expansion of -1 in re 2.242 * [taylor]: Taking taylor expansion of im in re 2.242 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.242 * [taylor]: Taking taylor expansion of -1 in re 2.242 * [taylor]: Taking taylor expansion of im in re 2.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.245 * [taylor]: Taking taylor expansion of re in re 2.252 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.253 * [taylor]: Taking taylor expansion of 2.0 in re 2.253 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.253 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.253 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.253 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.253 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.253 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.253 * [taylor]: Taking taylor expansion of -1 in re 2.253 * [taylor]: Taking taylor expansion of re in re 2.254 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.254 * [taylor]: Taking taylor expansion of -1 in re 2.254 * [taylor]: Taking taylor expansion of re in re 2.254 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.254 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.254 * [taylor]: Taking taylor expansion of -1 in re 2.254 * [taylor]: Taking taylor expansion of im in re 2.254 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.254 * [taylor]: Taking taylor expansion of -1 in re 2.254 * [taylor]: Taking taylor expansion of im in re 2.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.257 * [taylor]: Taking taylor expansion of re in re 2.265 * [taylor]: Taking taylor expansion of 0 in im 2.265 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.265 * [taylor]: Taking taylor expansion of +nan.0 in im 2.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.265 * [taylor]: Taking taylor expansion of 2.0 in im 2.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.266 * [taylor]: Taking taylor expansion of im in im 2.273 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.274 * [taylor]: Taking taylor expansion of +nan.0 in im 2.274 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.274 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.274 * [taylor]: Taking taylor expansion of 2.0 in im 2.274 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.274 * [taylor]: Taking taylor expansion of im in im 2.301 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 2.301 * [taylor]: Taking taylor expansion of +nan.0 in im 2.301 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 2.301 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 2.301 * [taylor]: Taking taylor expansion of 1/8 in im 2.301 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.301 * [taylor]: Taking taylor expansion of 2.0 in im 2.302 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.302 * [taylor]: Taking taylor expansion of im in im 2.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 2.303 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 2.303 * [taylor]: Taking taylor expansion of +nan.0 in im 2.303 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 2.303 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.303 * [taylor]: Taking taylor expansion of 2.0 in im 2.304 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.304 * [taylor]: Taking taylor expansion of im in im 2.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.354 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 2.354 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.354 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.354 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.354 * [taylor]: Taking taylor expansion of re in im 2.354 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.354 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.354 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.354 * [taylor]: Taking taylor expansion of (* re re) in im 2.354 * [taylor]: Taking taylor expansion of re in im 2.354 * [taylor]: Taking taylor expansion of re in im 2.354 * [taylor]: Taking taylor expansion of (* im im) in im 2.354 * [taylor]: Taking taylor expansion of im in im 2.354 * [taylor]: Taking taylor expansion of im in im 2.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.355 * [taylor]: Taking taylor expansion of 2.0 in im 2.356 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.356 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.356 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.356 * [taylor]: Taking taylor expansion of re in re 2.356 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.356 * [taylor]: Taking taylor expansion of (* re re) in re 2.356 * [taylor]: Taking taylor expansion of re in re 2.356 * [taylor]: Taking taylor expansion of re in re 2.356 * [taylor]: Taking taylor expansion of (* im im) in re 2.356 * [taylor]: Taking taylor expansion of im in re 2.356 * [taylor]: Taking taylor expansion of im in re 2.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.358 * [taylor]: Taking taylor expansion of 2.0 in re 2.359 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.359 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.359 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.359 * [taylor]: Taking taylor expansion of re in re 2.359 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.359 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.359 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.359 * [taylor]: Taking taylor expansion of (* re re) in re 2.359 * [taylor]: Taking taylor expansion of re in re 2.359 * [taylor]: Taking taylor expansion of re in re 2.359 * [taylor]: Taking taylor expansion of (* im im) in re 2.359 * [taylor]: Taking taylor expansion of im in re 2.359 * [taylor]: Taking taylor expansion of im in re 2.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.360 * [taylor]: Taking taylor expansion of 2.0 in re 2.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.361 * [taylor]: Taking taylor expansion of 2.0 in im 2.362 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.362 * [taylor]: Taking taylor expansion of im in im 2.364 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.364 * [taylor]: Taking taylor expansion of 1/2 in im 2.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.364 * [taylor]: Taking taylor expansion of 2.0 in im 2.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.365 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.365 * [taylor]: Taking taylor expansion of im in im 2.384 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.384 * [taylor]: Taking taylor expansion of 1/8 in im 2.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.384 * [taylor]: Taking taylor expansion of 2.0 in im 2.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.384 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.401 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 2.401 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 2.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.401 * [taylor]: Taking taylor expansion of re in im 2.401 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.401 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.401 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.401 * [taylor]: Taking taylor expansion of re in im 2.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.401 * [taylor]: Taking taylor expansion of re in im 2.401 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.401 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.401 * [taylor]: Taking taylor expansion of im in im 2.401 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.401 * [taylor]: Taking taylor expansion of im in im 2.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.405 * [taylor]: Taking taylor expansion of 2.0 in im 2.406 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.406 * [taylor]: Taking taylor expansion of re in re 2.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.407 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.407 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.407 * [taylor]: Taking taylor expansion of re in re 2.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.407 * [taylor]: Taking taylor expansion of re in re 2.407 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.407 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.407 * [taylor]: Taking taylor expansion of im in re 2.407 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.407 * [taylor]: Taking taylor expansion of im in re 2.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.411 * [taylor]: Taking taylor expansion of 2.0 in re 2.412 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.412 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.412 * [taylor]: Taking taylor expansion of re in re 2.412 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.412 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.412 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.412 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.412 * [taylor]: Taking taylor expansion of re in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.413 * [taylor]: Taking taylor expansion of im in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.413 * [taylor]: Taking taylor expansion of im in re 2.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.417 * [taylor]: Taking taylor expansion of 2.0 in re 2.418 * [taylor]: Taking taylor expansion of 0 in im 2.419 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.419 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.419 * [taylor]: Taking taylor expansion of +nan.0 in im 2.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.419 * [taylor]: Taking taylor expansion of 2.0 in im 2.425 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.425 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.425 * [taylor]: Taking taylor expansion of +nan.0 in im 2.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.425 * [taylor]: Taking taylor expansion of 2.0 in im 2.435 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.435 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.435 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.435 * [taylor]: Taking taylor expansion of +nan.0 in im 2.435 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.435 * [taylor]: Taking taylor expansion of 2.0 in im 2.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.436 * [taylor]: Taking taylor expansion of im in im 2.436 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.436 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.436 * [taylor]: Taking taylor expansion of +nan.0 in im 2.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.437 * [taylor]: Taking taylor expansion of 2.0 in im 2.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.448 * [taylor]: Taking taylor expansion of +nan.0 in im 2.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.448 * [taylor]: Taking taylor expansion of 2.0 in im 2.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.449 * [taylor]: Taking taylor expansion of im in im 2.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.450 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.450 * [taylor]: Taking taylor expansion of +nan.0 in im 2.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.450 * [taylor]: Taking taylor expansion of 2.0 in im 2.471 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.471 * [taylor]: Taking taylor expansion of 2.0 in im 2.472 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.472 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.472 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.472 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.472 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.472 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.472 * [taylor]: Taking taylor expansion of -1 in im 2.472 * [taylor]: Taking taylor expansion of re in im 2.472 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.472 * [taylor]: Taking taylor expansion of -1 in im 2.472 * [taylor]: Taking taylor expansion of re in im 2.472 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.472 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.472 * [taylor]: Taking taylor expansion of -1 in im 2.472 * [taylor]: Taking taylor expansion of im in im 2.472 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.472 * [taylor]: Taking taylor expansion of -1 in im 2.472 * [taylor]: Taking taylor expansion of im in im 2.475 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.475 * [taylor]: Taking taylor expansion of re in im 2.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.477 * [taylor]: Taking taylor expansion of 2.0 in re 2.477 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.477 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.477 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.478 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.478 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.478 * [taylor]: Taking taylor expansion of -1 in re 2.478 * [taylor]: Taking taylor expansion of re in re 2.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.478 * [taylor]: Taking taylor expansion of -1 in re 2.478 * [taylor]: Taking taylor expansion of re in re 2.478 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.478 * [taylor]: Taking taylor expansion of -1 in re 2.478 * [taylor]: Taking taylor expansion of im in re 2.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.478 * [taylor]: Taking taylor expansion of -1 in re 2.478 * [taylor]: Taking taylor expansion of im in re 2.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.481 * [taylor]: Taking taylor expansion of re in re 2.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.487 * [taylor]: Taking taylor expansion of 2.0 in re 2.487 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.487 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.487 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.487 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.487 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.487 * [taylor]: Taking taylor expansion of -1 in re 2.487 * [taylor]: Taking taylor expansion of re in re 2.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.488 * [taylor]: Taking taylor expansion of -1 in re 2.488 * [taylor]: Taking taylor expansion of re in re 2.488 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.488 * [taylor]: Taking taylor expansion of -1 in re 2.488 * [taylor]: Taking taylor expansion of im in re 2.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.488 * [taylor]: Taking taylor expansion of -1 in re 2.488 * [taylor]: Taking taylor expansion of im in re 2.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.491 * [taylor]: Taking taylor expansion of re in re 2.497 * [taylor]: Taking taylor expansion of 0 in im 2.497 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.497 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.497 * [taylor]: Taking taylor expansion of +nan.0 in im 2.497 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.497 * [taylor]: Taking taylor expansion of 2.0 in im 2.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.498 * [taylor]: Taking taylor expansion of im in im 2.506 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.506 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.506 * [taylor]: Taking taylor expansion of +nan.0 in im 2.506 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.506 * [taylor]: Taking taylor expansion of 2.0 in im 2.507 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.507 * [taylor]: Taking taylor expansion of im in im 2.523 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.523 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.523 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.523 * [taylor]: Taking taylor expansion of +nan.0 in im 2.523 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.523 * [taylor]: Taking taylor expansion of 2.0 in im 2.524 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.524 * [taylor]: Taking taylor expansion of im in im 2.525 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.525 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.525 * [taylor]: Taking taylor expansion of +nan.0 in im 2.525 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.525 * [taylor]: Taking taylor expansion of 2.0 in im 2.526 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.526 * [taylor]: Taking taylor expansion of im in im 2.548 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.549 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 2.549 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.549 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.549 * [taylor]: Taking taylor expansion of re in im 2.549 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.549 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.549 * [taylor]: Taking taylor expansion of (* re re) in im 2.549 * [taylor]: Taking taylor expansion of re in im 2.549 * [taylor]: Taking taylor expansion of re in im 2.549 * [taylor]: Taking taylor expansion of (* im im) in im 2.549 * [taylor]: Taking taylor expansion of im in im 2.549 * [taylor]: Taking taylor expansion of im in im 2.557 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.557 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.557 * [taylor]: Taking taylor expansion of re in re 2.557 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.557 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.557 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.557 * [taylor]: Taking taylor expansion of (* re re) in re 2.557 * [taylor]: Taking taylor expansion of re in re 2.557 * [taylor]: Taking taylor expansion of re in re 2.557 * [taylor]: Taking taylor expansion of (* im im) in re 2.557 * [taylor]: Taking taylor expansion of im in re 2.557 * [taylor]: Taking taylor expansion of im in re 2.559 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.559 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.559 * [taylor]: Taking taylor expansion of re in re 2.559 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.559 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.559 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.559 * [taylor]: Taking taylor expansion of (* re re) in re 2.559 * [taylor]: Taking taylor expansion of re in re 2.559 * [taylor]: Taking taylor expansion of re in re 2.559 * [taylor]: Taking taylor expansion of (* im im) in re 2.559 * [taylor]: Taking taylor expansion of im in re 2.559 * [taylor]: Taking taylor expansion of im in re 2.561 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.561 * [taylor]: Taking taylor expansion of im in im 2.562 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.562 * [taylor]: Taking taylor expansion of 1/2 in im 2.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.562 * [taylor]: Taking taylor expansion of im in im 2.566 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.566 * [taylor]: Taking taylor expansion of 1/8 in im 2.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.566 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.566 * [taylor]: Taking taylor expansion of im in im 2.573 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 2.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.573 * [taylor]: Taking taylor expansion of re in im 2.573 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.573 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.573 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.573 * [taylor]: Taking taylor expansion of re in im 2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.573 * [taylor]: Taking taylor expansion of re in im 2.573 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.573 * [taylor]: Taking taylor expansion of im in im 2.574 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.574 * [taylor]: Taking taylor expansion of im in im 2.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.578 * [taylor]: Taking taylor expansion of re in re 2.578 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.578 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.578 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.578 * [taylor]: Taking taylor expansion of re in re 2.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.579 * [taylor]: Taking taylor expansion of re in re 2.579 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.579 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.579 * [taylor]: Taking taylor expansion of im in re 2.579 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.579 * [taylor]: Taking taylor expansion of im in re 2.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.583 * [taylor]: Taking taylor expansion of re in re 2.583 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.583 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.583 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.583 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.588 * [taylor]: Taking taylor expansion of 0 in im 2.588 * [taylor]: Taking taylor expansion of +nan.0 in im 2.590 * [taylor]: Taking taylor expansion of +nan.0 in im 2.595 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.595 * [taylor]: Taking taylor expansion of +nan.0 in im 2.595 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.595 * [taylor]: Taking taylor expansion of 1/2 in im 2.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.595 * [taylor]: Taking taylor expansion of im in im 2.595 * [taylor]: Taking taylor expansion of +nan.0 in im 2.601 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.601 * [taylor]: Taking taylor expansion of +nan.0 in im 2.601 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.601 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.602 * [taylor]: Taking taylor expansion of +nan.0 in im 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.602 * [taylor]: Taking taylor expansion of im in im 2.602 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.602 * [taylor]: Taking taylor expansion of +nan.0 in im 2.609 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.609 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.609 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.609 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.609 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.609 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.609 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.609 * [taylor]: Taking taylor expansion of -1 in im 2.609 * [taylor]: Taking taylor expansion of re in im 2.609 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.609 * [taylor]: Taking taylor expansion of -1 in im 2.609 * [taylor]: Taking taylor expansion of re in im 2.609 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.609 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.609 * [taylor]: Taking taylor expansion of -1 in im 2.609 * [taylor]: Taking taylor expansion of im in im 2.610 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.610 * [taylor]: Taking taylor expansion of -1 in im 2.610 * [taylor]: Taking taylor expansion of im in im 2.612 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.613 * [taylor]: Taking taylor expansion of re in im 2.614 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.614 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.614 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.614 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.614 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.614 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.614 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.614 * [taylor]: Taking taylor expansion of -1 in re 2.614 * [taylor]: Taking taylor expansion of re in re 2.614 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.614 * [taylor]: Taking taylor expansion of -1 in re 2.614 * [taylor]: Taking taylor expansion of re in re 2.615 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.615 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.615 * [taylor]: Taking taylor expansion of -1 in re 2.615 * [taylor]: Taking taylor expansion of im in re 2.615 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.615 * [taylor]: Taking taylor expansion of -1 in re 2.615 * [taylor]: Taking taylor expansion of im in re 2.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.618 * [taylor]: Taking taylor expansion of re in re 2.623 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.623 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.623 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.623 * [taylor]: Taking taylor expansion of -1 in re 2.623 * [taylor]: Taking taylor expansion of re in re 2.624 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.624 * [taylor]: Taking taylor expansion of -1 in re 2.624 * [taylor]: Taking taylor expansion of re in re 2.624 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.624 * [taylor]: Taking taylor expansion of -1 in re 2.624 * [taylor]: Taking taylor expansion of im in re 2.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.624 * [taylor]: Taking taylor expansion of -1 in re 2.624 * [taylor]: Taking taylor expansion of im in re 2.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.627 * [taylor]: Taking taylor expansion of re in re 2.633 * [taylor]: Taking taylor expansion of 0 in im 2.633 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.633 * [taylor]: Taking taylor expansion of +nan.0 in im 2.633 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.633 * [taylor]: Taking taylor expansion of im in im 2.638 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.638 * [taylor]: Taking taylor expansion of +nan.0 in im 2.638 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.638 * [taylor]: Taking taylor expansion of im in im 2.655 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 2.655 * [taylor]: Taking taylor expansion of +nan.0 in im 2.655 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 2.655 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.655 * [taylor]: Taking taylor expansion of 1/8 in im 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.655 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.655 * [taylor]: Taking taylor expansion of im in im 2.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 2.656 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.656 * [taylor]: Taking taylor expansion of +nan.0 in im 2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.656 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.656 * [taylor]: Taking taylor expansion of im in im 2.680 * * * [progress]: simplifying candidates 2.682 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (+ (hypot re im) re)) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (hypot re im) re)))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (+ (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (hypot re im) re))))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (hypot re im) 3) (pow re 3))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (expm1 (sqrt (+ (hypot re im) re))) (log1p (sqrt (+ (hypot re im) re))) (log (sqrt (+ (hypot re im) re))) (exp (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (+ (hypot re im) re))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt 1) (sqrt (+ (hypot re im) re)) (sqrt 1) (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re)) (/ 1 2) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 2.688 * * [simplify]: iteration 0 : 404 enodes (cost 829 ) 2.695 * * [simplify]: iteration 1 : 1592 enodes (cost 743 ) 2.723 * * [simplify]: iteration 2 : 5001 enodes (cost 726 ) 2.727 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (+ (hypot re im) re)) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) 3) (* (sqrt 2.0) (+ (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) (* (fabs (cbrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* 2.0 (+ (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (+ (hypot re im) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (hypot re im) re)))) (+ (log (sqrt 2.0)) (log (sqrt (+ (hypot re im) re)))) (+ (log (sqrt 2.0)) (log (sqrt (+ (hypot re im) re)))) (pow (exp (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (sqrt (+ (hypot re im) re))) (log1p (sqrt (+ (hypot re im) re))) (log (sqrt (+ (hypot re im) re))) (exp (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (+ (hypot re im) re))) (pow (sqrt (+ (hypot re im) re)) 3) (fabs (cbrt (+ (hypot re im) re))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) 1 (sqrt (+ (hypot re im) re)) 1 (sqrt (+ (hypot re im) re)) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re)) 1/2 (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (+ re im) (* 2 re) 0 (fma (- +nan.0) (* (* 2.0 re) re) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (fma +nan.0 (/ 2.0 re) (- (* +nan.0 (sqrt 2.0))))) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 2.728 * * * [progress]: adding candidates to table 3.053 * [progress]: [Phase 3 of 3] Extracting. 3.053 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.054 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.054 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 3.100 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 3.151 * * * [regime]: Found split indices: #