13.003 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.034 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.034 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.066 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.086 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.090 * [taylor]: Taking taylor expansion of 1/2 in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of 1/2 in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.107 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (/ 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 0.114 * [taylor]: Taking taylor expansion of 1 in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of 1/2 in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.120 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.120 * [taylor]: Taking taylor expansion of 2.0 in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.122 * [taylor]: Taking taylor expansion of 2.0 in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) 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 0.128 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.128 * [taylor]: Taking taylor expansion of 2.0 in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.129 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.130 * [taylor]: Taking taylor expansion of 2.0 in im 0.131 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.133 * [taylor]: Taking taylor expansion of 1/2 in im 0.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.133 * [taylor]: Taking taylor expansion of 2.0 in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.144 * [taylor]: Taking taylor expansion of 1/8 in im 0.144 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.144 * [taylor]: Taking taylor expansion of 2.0 in im 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.159 * [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 0.159 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.159 * [taylor]: Taking taylor expansion of 2.0 in im 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.160 * [taylor]: Taking taylor expansion of re in im 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.164 * [taylor]: Taking taylor expansion of 2.0 in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.168 * [taylor]: Taking taylor expansion of 2.0 in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.174 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.174 * [taylor]: Taking taylor expansion of +nan.0 in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.175 * [taylor]: Taking taylor expansion of 2.0 in im 0.180 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.180 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.180 * [taylor]: Taking taylor expansion of +nan.0 in im 0.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.180 * [taylor]: Taking taylor expansion of 2.0 in im 0.188 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.188 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.188 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.188 * [taylor]: Taking taylor expansion of +nan.0 in im 0.188 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.188 * [taylor]: Taking taylor expansion of 2.0 in im 0.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.189 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.189 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.189 * [taylor]: Taking taylor expansion of +nan.0 in im 0.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.189 * [taylor]: Taking taylor expansion of 2.0 in im 0.200 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.200 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.200 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.200 * [taylor]: Taking taylor expansion of +nan.0 in im 0.200 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.200 * [taylor]: Taking taylor expansion of 2.0 in im 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.201 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.201 * [taylor]: Taking taylor expansion of +nan.0 in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.219 * [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 0.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.219 * [taylor]: Taking taylor expansion of 2.0 in im 0.220 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.220 * [taylor]: Taking taylor expansion of im in im 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.220 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.220 * [taylor]: Taking taylor expansion of re in im 0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.222 * [taylor]: Taking taylor expansion of re in im 0.223 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.224 * [taylor]: Taking taylor expansion of 2.0 in re 0.224 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.224 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.232 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.232 * [taylor]: Taking taylor expansion of 2.0 in re 0.232 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.232 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.232 * [taylor]: Taking taylor expansion of im in re 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.233 * [taylor]: Taking taylor expansion of re in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.235 * [taylor]: Taking taylor expansion of re in re 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.241 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.241 * [taylor]: Taking taylor expansion of +nan.0 in im 0.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.248 * [taylor]: Taking taylor expansion of +nan.0 in im 0.248 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.248 * [taylor]: Taking taylor expansion of 2.0 in im 0.249 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.264 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.264 * [taylor]: Taking taylor expansion of +nan.0 in im 0.264 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) 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 6) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.294 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.294 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.294 * [taylor]: Taking taylor expansion of re in im 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.294 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.294 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.294 * [taylor]: Taking taylor expansion of re in im 0.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.295 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.295 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.295 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.296 * [taylor]: Taking taylor expansion of im in im 0.296 * [taylor]: Taking taylor expansion of 1 in im 0.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.297 * [taylor]: Taking taylor expansion of 1/2 in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.300 * [taylor]: Taking taylor expansion of 0 in im 0.301 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.307 * [taylor]: Taking taylor expansion of re in re 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.307 * [taylor]: Taking taylor expansion of im in re 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.307 * [taylor]: Taking taylor expansion of re in re 0.309 * [taylor]: Taking taylor expansion of 2 in im 0.310 * [taylor]: Taking taylor expansion of 0 in im 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.313 * [taylor]: Taking taylor expansion of 1/2 in im 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.317 * [taylor]: Taking taylor expansion of 0 in im 0.318 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.318 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.319 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.319 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.319 * [taylor]: Taking taylor expansion of re in im 0.321 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.321 * [taylor]: Taking taylor expansion of re in im 0.321 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.321 * [taylor]: Taking taylor expansion of im in re 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.321 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.321 * [taylor]: Taking taylor expansion of re in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.324 * [taylor]: Taking taylor expansion of im in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.327 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [taylor]: Taking taylor expansion of 0 in im 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.331 * [taylor]: Taking taylor expansion of 1/2 in im 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.331 * [taylor]: Taking taylor expansion of im in im 0.335 * [taylor]: Taking taylor expansion of 0 in im 0.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.337 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of 0 in im 0.338 * [taylor]: Taking taylor expansion of 1 in im 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.342 * [taylor]: Taking taylor expansion of re in im 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.342 * [taylor]: Taking taylor expansion of im in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.343 * [taylor]: Taking taylor expansion of im in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of 1 in im 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [taylor]: Taking taylor expansion of 0 in im 0.352 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.352 * [taylor]: Taking taylor expansion of re in im 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of 1 in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.356 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.362 * * * [progress]: simplifying candidates 0.363 * [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 (* 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)))) (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 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.367 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.373 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.390 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.450 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.452 * [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)))) (sqrt 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 (* 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)))) (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))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.453 * * * [progress]: adding candidates to table 0.663 * * [progress]: iteration 2 / 4 0.663 * * * [progress]: picking best candidate 0.671 * * * * [pick]: Picked # 0.671 * * * [progress]: localizing error 0.684 * * * [progress]: generating rewritten candidates 0.684 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.695 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.699 * * * [progress]: generating series expansions 0.699 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.699 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.699 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.699 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.699 * [taylor]: Taking taylor expansion of (* re re) in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of (* im im) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.701 * [taylor]: Taking taylor expansion of 2.0 in im 0.702 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.702 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.702 * [taylor]: Taking taylor expansion of (* re re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (* im im) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.704 * [taylor]: Taking taylor expansion of 2.0 in re 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.704 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.705 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.705 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.705 * [taylor]: Taking taylor expansion of (* re re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (* im im) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.706 * [taylor]: Taking taylor expansion of 2.0 in re 0.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.707 * [taylor]: Taking taylor expansion of 2.0 in im 0.708 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.710 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.710 * [taylor]: Taking taylor expansion of 1/2 in im 0.710 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.710 * [taylor]: Taking taylor expansion of 2.0 in im 0.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.721 * [taylor]: Taking taylor expansion of 1/8 in im 0.721 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.721 * [taylor]: Taking taylor expansion of 2.0 in im 0.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.722 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.736 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.736 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.737 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.737 * [taylor]: Taking taylor expansion of re in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.737 * [taylor]: Taking taylor expansion of re in im 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.740 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.740 * [taylor]: Taking taylor expansion of re in im 0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.741 * [taylor]: Taking taylor expansion of 2.0 in im 0.742 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.747 * [taylor]: Taking taylor expansion of 2.0 in re 0.747 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.747 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.747 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.748 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.748 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.752 * [taylor]: Taking taylor expansion of 2.0 in re 0.753 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.754 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.755 * [taylor]: Taking taylor expansion of +nan.0 in im 0.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.755 * [taylor]: Taking taylor expansion of 2.0 in im 0.760 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.760 * [taylor]: Taking taylor expansion of +nan.0 in im 0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.760 * [taylor]: Taking taylor expansion of 2.0 in im 0.774 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.774 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.774 * [taylor]: Taking taylor expansion of +nan.0 in im 0.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.775 * [taylor]: Taking taylor expansion of 2.0 in im 0.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.776 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.776 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.776 * [taylor]: Taking taylor expansion of +nan.0 in im 0.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.776 * [taylor]: Taking taylor expansion of 2.0 in im 0.787 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.787 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.787 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.787 * [taylor]: Taking taylor expansion of +nan.0 in im 0.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.788 * [taylor]: Taking taylor expansion of 2.0 in im 0.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.789 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.789 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.789 * [taylor]: Taking taylor expansion of +nan.0 in im 0.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.789 * [taylor]: Taking taylor expansion of 2.0 in im 0.801 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.802 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.802 * [taylor]: Taking taylor expansion of 2.0 in im 0.802 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.803 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.803 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.803 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.803 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.803 * [taylor]: Taking taylor expansion of -1 in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.803 * [taylor]: Taking taylor expansion of -1 in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.803 * [taylor]: Taking taylor expansion of -1 in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.803 * [taylor]: Taking taylor expansion of -1 in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.806 * [taylor]: Taking taylor expansion of re in im 0.807 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.807 * [taylor]: Taking taylor expansion of 2.0 in re 0.808 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.808 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.808 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.808 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.808 * [taylor]: Taking taylor expansion of -1 in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.808 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.809 * [taylor]: Taking taylor expansion of -1 in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.809 * [taylor]: Taking taylor expansion of -1 in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.809 * [taylor]: Taking taylor expansion of -1 in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.817 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.817 * [taylor]: Taking taylor expansion of 2.0 in re 0.817 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.817 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.817 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.818 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.818 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.818 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.818 * [taylor]: Taking taylor expansion of -1 in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.818 * [taylor]: Taking taylor expansion of -1 in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.818 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.818 * [taylor]: Taking taylor expansion of -1 in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.818 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.818 * [taylor]: Taking taylor expansion of -1 in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of 0 in im 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.827 * [taylor]: Taking taylor expansion of +nan.0 in im 0.827 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.827 * [taylor]: Taking taylor expansion of 2.0 in im 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.828 * [taylor]: Taking taylor expansion of im in im 0.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.835 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.835 * [taylor]: Taking taylor expansion of +nan.0 in im 0.835 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.835 * [taylor]: Taking taylor expansion of 2.0 in im 0.836 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.858 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.858 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.858 * [taylor]: Taking taylor expansion of +nan.0 in im 0.858 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.858 * [taylor]: Taking taylor expansion of 2.0 in im 0.858 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.858 * [taylor]: Taking taylor expansion of im in im 0.859 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.859 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.859 * [taylor]: Taking taylor expansion of +nan.0 in im 0.859 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.859 * [taylor]: Taking taylor expansion of 2.0 in im 0.860 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.860 * [taylor]: Taking taylor expansion of im in im 0.882 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.883 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.883 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.883 * [taylor]: Taking taylor expansion of re in im 0.883 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.883 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.883 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.883 * [taylor]: Taking taylor expansion of (* re re) in im 0.883 * [taylor]: Taking taylor expansion of re in im 0.883 * [taylor]: Taking taylor expansion of re in im 0.883 * [taylor]: Taking taylor expansion of (* im im) in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.884 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.884 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.884 * [taylor]: Taking taylor expansion of (* re re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (* im im) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.885 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.885 * [taylor]: Taking taylor expansion of (* re re) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of (* im im) in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [taylor]: Taking taylor expansion of 1 in im 0.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.888 * [taylor]: Taking taylor expansion of 1/2 in im 0.888 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.891 * [taylor]: Taking taylor expansion of 0 in im 0.892 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.892 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.892 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.892 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.892 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.892 * [taylor]: Taking taylor expansion of re in im 0.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.892 * [taylor]: Taking taylor expansion of re in im 0.892 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.892 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.895 * [taylor]: Taking taylor expansion of re in im 0.895 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.896 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.896 * [taylor]: Taking taylor expansion of im in re 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.899 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.900 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.902 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of 2 in im 0.904 * [taylor]: Taking taylor expansion of 0 in im 0.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.907 * [taylor]: Taking taylor expansion of 1/2 in im 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.911 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.913 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.913 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.913 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.913 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.913 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.913 * [taylor]: Taking taylor expansion of -1 in im 0.913 * [taylor]: Taking taylor expansion of re in im 0.913 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.913 * [taylor]: Taking taylor expansion of -1 in im 0.913 * [taylor]: Taking taylor expansion of re in im 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.913 * [taylor]: Taking taylor expansion of -1 in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.913 * [taylor]: Taking taylor expansion of -1 in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.916 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.916 * [taylor]: Taking taylor expansion of re in im 0.916 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.916 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.916 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.916 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.917 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.917 * [taylor]: Taking taylor expansion of -1 in re 0.917 * [taylor]: Taking taylor expansion of re in re 0.917 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.917 * [taylor]: Taking taylor expansion of -1 in re 0.917 * [taylor]: Taking taylor expansion of re in re 0.917 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.917 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.917 * [taylor]: Taking taylor expansion of -1 in re 0.917 * [taylor]: Taking taylor expansion of im in re 0.917 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.917 * [taylor]: Taking taylor expansion of -1 in re 0.917 * [taylor]: Taking taylor expansion of im in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.920 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.920 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.920 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.920 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.920 * [taylor]: Taking taylor expansion of -1 in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.921 * [taylor]: Taking taylor expansion of -1 in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.921 * [taylor]: Taking taylor expansion of -1 in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.921 * [taylor]: Taking taylor expansion of -1 in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.924 * [taylor]: Taking taylor expansion of re in re 0.924 * [taylor]: Taking taylor expansion of 0 in im 0.925 * [taylor]: Taking taylor expansion of 0 in im 0.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.928 * [taylor]: Taking taylor expansion of 1/2 in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.940 * [taylor]: Taking taylor expansion of 0 in im 0.942 * * * [progress]: simplifying candidates 0.942 * [simplify]: Simplifying using # : (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 0.946 * * [simplify]: iteration 0 : 194 enodes (cost 185 ) 0.951 * * [simplify]: iteration 1 : 790 enodes (cost 167 ) 0.965 * * [simplify]: iteration 2 : 3232 enodes (cost 161 ) 1.024 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 1.025 * [simplify]: Simplified to: (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 1.025 * * * [progress]: adding candidates to table 1.121 * * [progress]: iteration 3 / 4 1.121 * * * [progress]: picking best candidate 1.135 * * * * [pick]: Picked # 1.135 * * * [progress]: localizing error 1.145 * * * [progress]: generating rewritten candidates 1.145 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.158 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 1.161 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.167 * * * [progress]: generating series expansions 1.167 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.167 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.167 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.168 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.168 * [taylor]: Taking taylor expansion of re in im 1.168 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.168 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.168 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.168 * [taylor]: Taking taylor expansion of (* re re) in im 1.168 * [taylor]: Taking taylor expansion of re in im 1.168 * [taylor]: Taking taylor expansion of re in im 1.168 * [taylor]: Taking taylor expansion of (* im im) in im 1.168 * [taylor]: Taking taylor expansion of im in im 1.168 * [taylor]: Taking taylor expansion of im in im 1.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.169 * [taylor]: Taking taylor expansion of 2.0 in im 1.170 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.170 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.170 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.170 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.170 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.170 * [taylor]: Taking taylor expansion of (* re re) in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of (* im im) in re 1.170 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of im in re 1.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.172 * [taylor]: Taking taylor expansion of 2.0 in re 1.173 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.173 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.173 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.173 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.173 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.173 * [taylor]: Taking taylor expansion of (* re re) in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.173 * [taylor]: Taking taylor expansion of (* im im) in re 1.173 * [taylor]: Taking taylor expansion of im in re 1.173 * [taylor]: Taking taylor expansion of im in re 1.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.174 * [taylor]: Taking taylor expansion of 2.0 in re 1.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.175 * [taylor]: Taking taylor expansion of 2.0 in im 1.176 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.178 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.178 * [taylor]: Taking taylor expansion of 1/2 in im 1.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.178 * [taylor]: Taking taylor expansion of 2.0 in im 1.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.179 * [taylor]: Taking taylor expansion of im in im 1.190 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.190 * [taylor]: Taking taylor expansion of 1/8 in im 1.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.190 * [taylor]: Taking taylor expansion of 2.0 in im 1.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.191 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.206 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.206 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.206 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.206 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.206 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.206 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.206 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.206 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.214 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.215 * [taylor]: Taking taylor expansion of 2.0 in im 1.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.216 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.216 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.220 * [taylor]: Taking taylor expansion of 2.0 in re 1.221 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.221 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.221 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.226 * [taylor]: Taking taylor expansion of 2.0 in re 1.227 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.228 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.228 * [taylor]: Taking taylor expansion of +nan.0 in im 1.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.228 * [taylor]: Taking taylor expansion of 2.0 in im 1.234 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.234 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.234 * [taylor]: Taking taylor expansion of +nan.0 in im 1.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.234 * [taylor]: Taking taylor expansion of 2.0 in im 1.243 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.243 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.243 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.243 * [taylor]: Taking taylor expansion of +nan.0 in im 1.243 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.243 * [taylor]: Taking taylor expansion of 2.0 in im 1.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.244 * [taylor]: Taking taylor expansion of +nan.0 in im 1.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.245 * [taylor]: Taking taylor expansion of 2.0 in im 1.256 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.256 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.256 * [taylor]: Taking taylor expansion of +nan.0 in im 1.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.256 * [taylor]: Taking taylor expansion of 2.0 in im 1.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.258 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.258 * [taylor]: Taking taylor expansion of +nan.0 in im 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.258 * [taylor]: Taking taylor expansion of 2.0 in im 1.271 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.271 * [taylor]: Taking taylor expansion of 2.0 in im 1.272 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.272 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.272 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.272 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.272 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.272 * [taylor]: Taking taylor expansion of -1 in im 1.272 * [taylor]: Taking taylor expansion of re in im 1.272 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.272 * [taylor]: Taking taylor expansion of -1 in im 1.272 * [taylor]: Taking taylor expansion of re in im 1.272 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.272 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.272 * [taylor]: Taking taylor expansion of -1 in im 1.272 * [taylor]: Taking taylor expansion of im in im 1.272 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.272 * [taylor]: Taking taylor expansion of -1 in im 1.272 * [taylor]: Taking taylor expansion of im in im 1.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.275 * [taylor]: Taking taylor expansion of re in im 1.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.276 * [taylor]: Taking taylor expansion of 2.0 in re 1.277 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.277 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.277 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.277 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.277 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.277 * [taylor]: Taking taylor expansion of -1 in re 1.277 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.278 * [taylor]: Taking taylor expansion of -1 in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.278 * [taylor]: Taking taylor expansion of -1 in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.278 * [taylor]: Taking taylor expansion of -1 in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.286 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.286 * [taylor]: Taking taylor expansion of 2.0 in re 1.287 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.287 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.287 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.287 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.287 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.287 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.287 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.287 * [taylor]: Taking taylor expansion of -1 in re 1.287 * [taylor]: Taking taylor expansion of re in re 1.287 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.287 * [taylor]: Taking taylor expansion of -1 in re 1.287 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.302 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.302 * [taylor]: Taking taylor expansion of +nan.0 in im 1.302 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.302 * [taylor]: Taking taylor expansion of 2.0 in im 1.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.311 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.311 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.311 * [taylor]: Taking taylor expansion of +nan.0 in im 1.311 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.311 * [taylor]: Taking taylor expansion of 2.0 in im 1.311 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.327 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.327 * [taylor]: Taking taylor expansion of +nan.0 in im 1.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.327 * [taylor]: Taking taylor expansion of 2.0 in im 1.328 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.329 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.329 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.329 * [taylor]: Taking taylor expansion of +nan.0 in im 1.329 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.329 * [taylor]: Taking taylor expansion of 2.0 in im 1.330 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.352 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 1.352 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.352 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.352 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.352 * [taylor]: Taking taylor expansion of (* re re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of (* im im) in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.353 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.353 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.353 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.353 * [taylor]: Taking taylor expansion of (* re re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (* im im) in re 1.353 * [taylor]: Taking taylor expansion of im in re 1.353 * [taylor]: Taking taylor expansion of im in re 1.355 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.355 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.355 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.355 * [taylor]: Taking taylor expansion of (* re re) in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [taylor]: Taking taylor expansion of (* im im) in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of 1 in im 1.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.358 * [taylor]: Taking taylor expansion of 1/2 in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.362 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.362 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.362 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.362 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.362 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.362 * [taylor]: Taking taylor expansion of re in im 1.362 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.362 * [taylor]: Taking taylor expansion of re in im 1.362 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.362 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.362 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.365 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.365 * [taylor]: Taking taylor expansion of re in im 1.365 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.365 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.365 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.365 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.365 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.368 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.369 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.369 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.369 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.369 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.369 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.369 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.369 * [taylor]: Taking taylor expansion of im in re 1.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.369 * [taylor]: Taking taylor expansion of im in re 1.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of 2 in im 1.373 * [taylor]: Taking taylor expansion of 0 in im 1.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.382 * [taylor]: Taking taylor expansion of 1/2 in im 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.388 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.389 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.389 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.389 * [taylor]: Taking taylor expansion of -1 in im 1.389 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.389 * [taylor]: Taking taylor expansion of -1 in im 1.389 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.389 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.389 * [taylor]: Taking taylor expansion of -1 in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.389 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.389 * [taylor]: Taking taylor expansion of -1 in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.392 * [taylor]: Taking taylor expansion of re in im 1.392 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.392 * [taylor]: Taking taylor expansion of -1 in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.396 * [taylor]: Taking taylor expansion of -1 in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.396 * [taylor]: Taking taylor expansion of -1 in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.397 * [taylor]: Taking taylor expansion of -1 in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.397 * [taylor]: Taking taylor expansion of -1 in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.399 * [taylor]: Taking taylor expansion of re in re 1.400 * [taylor]: Taking taylor expansion of 0 in im 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.404 * [taylor]: Taking taylor expansion of 1/2 in im 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.409 * [taylor]: Taking taylor expansion of 0 in im 1.410 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.411 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.411 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.411 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.411 * [taylor]: Taking taylor expansion of (* re re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (* im im) in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.412 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.412 * [taylor]: Taking taylor expansion of re in re 1.412 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.412 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.412 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.413 * [taylor]: Taking taylor expansion of (* re re) in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of (* im im) in re 1.413 * [taylor]: Taking taylor expansion of im in re 1.413 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.414 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.414 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.414 * [taylor]: Taking taylor expansion of (* re re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* im im) in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.416 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.417 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.417 * [taylor]: Taking taylor expansion of 1/2 in im 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.417 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.417 * [taylor]: Taking taylor expansion of im in im 1.421 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.421 * [taylor]: Taking taylor expansion of 1/8 in im 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.421 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.421 * [taylor]: Taking taylor expansion of im in im 1.427 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.428 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.428 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.428 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.428 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.428 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.428 * [taylor]: Taking taylor expansion of re in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.428 * [taylor]: Taking taylor expansion of re in im 1.428 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.431 * [taylor]: Taking taylor expansion of re in im 1.432 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.432 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.432 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.432 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.432 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.432 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.432 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.432 * [taylor]: Taking taylor expansion of re in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.433 * [taylor]: Taking taylor expansion of im in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.433 * [taylor]: Taking taylor expansion of im in re 1.435 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.435 * [taylor]: Taking taylor expansion of re in re 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.437 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.437 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.438 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.438 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.441 * [taylor]: Taking taylor expansion of re in re 1.442 * [taylor]: Taking taylor expansion of 0 in im 1.442 * [taylor]: Taking taylor expansion of +nan.0 in im 1.445 * [taylor]: Taking taylor expansion of +nan.0 in im 1.449 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.449 * [taylor]: Taking taylor expansion of +nan.0 in im 1.449 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.449 * [taylor]: Taking taylor expansion of 1/2 in im 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.449 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of +nan.0 in im 1.455 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.455 * [taylor]: Taking taylor expansion of +nan.0 in im 1.455 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.455 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.455 * [taylor]: Taking taylor expansion of +nan.0 in im 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.456 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.456 * [taylor]: Taking taylor expansion of +nan.0 in im 1.468 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.468 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.468 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.468 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.468 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.468 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.468 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.468 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.468 * [taylor]: Taking taylor expansion of -1 in im 1.468 * [taylor]: Taking taylor expansion of re in im 1.468 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.468 * [taylor]: Taking taylor expansion of -1 in im 1.468 * [taylor]: Taking taylor expansion of re in im 1.468 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.468 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.468 * [taylor]: Taking taylor expansion of -1 in im 1.469 * [taylor]: Taking taylor expansion of im in im 1.469 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.469 * [taylor]: Taking taylor expansion of -1 in im 1.469 * [taylor]: Taking taylor expansion of im in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.472 * [taylor]: Taking taylor expansion of re in im 1.473 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.473 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.473 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.473 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.473 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.473 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.473 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.473 * [taylor]: Taking taylor expansion of -1 in re 1.473 * [taylor]: Taking taylor expansion of re in re 1.473 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.473 * [taylor]: Taking taylor expansion of -1 in re 1.473 * [taylor]: Taking taylor expansion of re in re 1.474 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.474 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.474 * [taylor]: Taking taylor expansion of -1 in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.474 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.474 * [taylor]: Taking taylor expansion of -1 in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.476 * [taylor]: Taking taylor expansion of re in re 1.482 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.482 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.482 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.482 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.482 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.482 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.482 * [taylor]: Taking taylor expansion of -1 in re 1.482 * [taylor]: Taking taylor expansion of re in re 1.482 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.482 * [taylor]: Taking taylor expansion of -1 in re 1.482 * [taylor]: Taking taylor expansion of re in re 1.483 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.483 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.483 * [taylor]: Taking taylor expansion of -1 in re 1.483 * [taylor]: Taking taylor expansion of im in re 1.483 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.483 * [taylor]: Taking taylor expansion of -1 in re 1.483 * [taylor]: Taking taylor expansion of im in re 1.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of 0 in im 1.491 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.491 * [taylor]: Taking taylor expansion of +nan.0 in im 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.496 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.496 * [taylor]: Taking taylor expansion of +nan.0 in im 1.496 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.506 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.506 * [taylor]: Taking taylor expansion of +nan.0 in im 1.506 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.506 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.506 * [taylor]: Taking taylor expansion of 1/8 in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.506 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.507 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.507 * [taylor]: Taking taylor expansion of +nan.0 in im 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.507 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.507 * [taylor]: Taking taylor expansion of im in im 1.530 * * * [progress]: simplifying candidates 1.531 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 1.536 * * [simplify]: iteration 0 : 288 enodes (cost 432 ) 1.542 * * [simplify]: iteration 1 : 992 enodes (cost 402 ) 1.562 * * [simplify]: iteration 2 : 4306 enodes (cost 387 ) 1.636 * * [simplify]: iteration 3 : 5001 enodes (cost 387 ) 1.638 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (hypot (pow (hypot re im) 3/2) (pow re 3/2))) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 1.638 * * * [progress]: adding candidates to table 1.828 * * [progress]: iteration 4 / 4 1.828 * * * [progress]: picking best candidate 1.841 * * * * [pick]: Picked # 1.841 * * * [progress]: localizing error 1.854 * * * [progress]: generating rewritten candidates 1.855 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.912 * * * [progress]: generating series expansions 1.912 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.914 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.914 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.914 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.914 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.914 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.914 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.914 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.914 * [taylor]: Taking taylor expansion of (* re re) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of (* im im) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.916 * [taylor]: Taking taylor expansion of 2.0 in im 1.917 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.917 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.917 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.917 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.917 * [taylor]: Taking taylor expansion of (* re re) in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.917 * [taylor]: Taking taylor expansion of (* im im) in re 1.917 * [taylor]: Taking taylor expansion of im in re 1.917 * [taylor]: Taking taylor expansion of im in re 1.919 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.919 * [taylor]: Taking taylor expansion of 2.0 in re 1.919 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.919 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.919 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.919 * [taylor]: Taking taylor expansion of re in re 1.919 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.919 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.919 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.919 * [taylor]: Taking taylor expansion of (* re re) in re 1.919 * [taylor]: Taking taylor expansion of re in re 1.919 * [taylor]: Taking taylor expansion of re in re 1.919 * [taylor]: Taking taylor expansion of (* im im) in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.921 * [taylor]: Taking taylor expansion of 2.0 in re 1.922 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.922 * [taylor]: Taking taylor expansion of 2.0 in im 1.923 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.923 * [taylor]: Taking taylor expansion of im in im 1.924 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.924 * [taylor]: Taking taylor expansion of 1/2 in im 1.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.925 * [taylor]: Taking taylor expansion of 2.0 in im 1.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.925 * [taylor]: Taking taylor expansion of im in im 1.936 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.936 * [taylor]: Taking taylor expansion of 1/8 in im 1.936 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.936 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.936 * [taylor]: Taking taylor expansion of 2.0 in im 1.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.937 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.937 * [taylor]: Taking taylor expansion of im in im 1.954 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.954 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.954 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.954 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.954 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.954 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.954 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.954 * [taylor]: Taking taylor expansion of re in im 1.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.954 * [taylor]: Taking taylor expansion of re in im 1.954 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.954 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.954 * [taylor]: Taking taylor expansion of im in im 1.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.955 * [taylor]: Taking taylor expansion of im in im 1.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.957 * [taylor]: Taking taylor expansion of re in im 1.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.959 * [taylor]: Taking taylor expansion of 2.0 in im 1.959 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.959 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.959 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.959 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.960 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.960 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.964 * [taylor]: Taking taylor expansion of 2.0 in re 1.965 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.965 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.965 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.965 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.965 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.965 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.966 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.966 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.966 * [taylor]: Taking taylor expansion of im in re 1.966 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.966 * [taylor]: Taking taylor expansion of im in re 1.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.975 * [taylor]: Taking taylor expansion of 2.0 in re 1.976 * [taylor]: Taking taylor expansion of 0 in im 1.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.977 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.977 * [taylor]: Taking taylor expansion of +nan.0 in im 1.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.978 * [taylor]: Taking taylor expansion of 2.0 in im 1.983 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.983 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.983 * [taylor]: Taking taylor expansion of +nan.0 in im 1.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.983 * [taylor]: Taking taylor expansion of 2.0 in im 1.992 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.992 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.992 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.992 * [taylor]: Taking taylor expansion of +nan.0 in im 1.992 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.992 * [taylor]: Taking taylor expansion of 2.0 in im 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.993 * [taylor]: Taking taylor expansion of im in im 1.994 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.994 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.994 * [taylor]: Taking taylor expansion of +nan.0 in im 1.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.994 * [taylor]: Taking taylor expansion of 2.0 in im 2.006 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.006 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.006 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.006 * [taylor]: Taking taylor expansion of +nan.0 in im 2.006 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.006 * [taylor]: Taking taylor expansion of 2.0 in im 2.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.006 * [taylor]: Taking taylor expansion of im in im 2.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.007 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.007 * [taylor]: Taking taylor expansion of +nan.0 in im 2.007 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.007 * [taylor]: Taking taylor expansion of 2.0 in im 2.022 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.022 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.022 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.022 * [taylor]: Taking taylor expansion of 2.0 in im 2.022 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.023 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.026 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.026 * [taylor]: Taking taylor expansion of re in im 2.027 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.027 * [taylor]: Taking taylor expansion of 2.0 in re 2.028 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.028 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.028 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.028 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.028 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.028 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.028 * [taylor]: Taking taylor expansion of -1 in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of im in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of im in re 2.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.037 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.037 * [taylor]: Taking taylor expansion of 2.0 in re 2.038 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.038 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.038 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.038 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.038 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.038 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.038 * [taylor]: Taking taylor expansion of -1 in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.038 * [taylor]: Taking taylor expansion of -1 in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.038 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.039 * [taylor]: Taking taylor expansion of -1 in re 2.039 * [taylor]: Taking taylor expansion of im in re 2.039 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.039 * [taylor]: Taking taylor expansion of -1 in re 2.039 * [taylor]: Taking taylor expansion of im in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.041 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of 0 in im 2.047 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.047 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.047 * [taylor]: Taking taylor expansion of +nan.0 in im 2.047 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.048 * [taylor]: Taking taylor expansion of 2.0 in im 2.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.048 * [taylor]: Taking taylor expansion of im in im 2.062 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.062 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.062 * [taylor]: Taking taylor expansion of +nan.0 in im 2.062 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.062 * [taylor]: Taking taylor expansion of 2.0 in im 2.062 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.079 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.079 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.079 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.079 * [taylor]: Taking taylor expansion of +nan.0 in im 2.079 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.079 * [taylor]: Taking taylor expansion of 2.0 in im 2.079 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.079 * [taylor]: Taking taylor expansion of im in im 2.080 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.080 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.080 * [taylor]: Taking taylor expansion of +nan.0 in im 2.080 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.080 * [taylor]: Taking taylor expansion of 2.0 in im 2.081 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.081 * [taylor]: Taking taylor expansion of im in im 2.103 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.104 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (pow (sqrt 2.0) 1/3)) in (re im) around 0 2.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (pow (sqrt 2.0) 1/3)) in im 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.104 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.104 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.104 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.104 * [taylor]: Taking taylor expansion of (* re re) in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [taylor]: Taking taylor expansion of (* im im) in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.106 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.106 * [taylor]: Taking taylor expansion of 1/3 in im 2.106 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.106 * [taylor]: Taking taylor expansion of 2.0 in im 2.109 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (pow (sqrt 2.0) 1/3)) in re 2.109 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.109 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.109 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.109 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.109 * [taylor]: Taking taylor expansion of (* re re) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of (* im im) in re 2.109 * [taylor]: Taking taylor expansion of im in re 2.109 * [taylor]: Taking taylor expansion of im in re 2.111 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.111 * [taylor]: Taking taylor expansion of 1/3 in re 2.111 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.111 * [taylor]: Taking taylor expansion of 2.0 in re 2.114 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (pow (sqrt 2.0) 1/3)) in re 2.114 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.114 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.114 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.114 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.114 * [taylor]: Taking taylor expansion of (* re re) in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of (* im im) in re 2.114 * [taylor]: Taking taylor expansion of im in re 2.114 * [taylor]: Taking taylor expansion of im in re 2.116 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.116 * [taylor]: Taking taylor expansion of 1/3 in re 2.116 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.116 * [taylor]: Taking taylor expansion of 2.0 in re 2.120 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt im)) in im 2.120 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.120 * [taylor]: Taking taylor expansion of 1/3 in im 2.120 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.120 * [taylor]: Taking taylor expansion of 2.0 in im 2.123 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.123 * [taylor]: Taking taylor expansion of im in im 2.128 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im)))) in im 2.128 * [taylor]: Taking taylor expansion of 1/2 in im 2.128 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im))) in im 2.128 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.128 * [taylor]: Taking taylor expansion of 1/3 in im 2.128 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.128 * [taylor]: Taking taylor expansion of 2.0 in im 2.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.131 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.131 * [taylor]: Taking taylor expansion of im in im 2.160 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 (pow im 3))))) in im 2.160 * [taylor]: Taking taylor expansion of 1/8 in im 2.161 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 (pow im 3)))) in im 2.161 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.161 * [taylor]: Taking taylor expansion of 1/3 in im 2.161 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.161 * [taylor]: Taking taylor expansion of 2.0 in im 2.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.164 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.164 * [taylor]: Taking taylor expansion of im in im 2.189 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in (re im) around 0 2.189 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in im 2.189 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.189 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.189 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.189 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.189 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.189 * [taylor]: Taking taylor expansion of re in im 2.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.189 * [taylor]: Taking taylor expansion of re in im 2.189 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.189 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.189 * [taylor]: Taking taylor expansion of im in im 2.190 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.190 * [taylor]: Taking taylor expansion of im in im 2.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.192 * [taylor]: Taking taylor expansion of re in im 2.193 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.193 * [taylor]: Taking taylor expansion of 1/3 in im 2.194 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.194 * [taylor]: Taking taylor expansion of 2.0 in im 2.197 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in re 2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.197 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.197 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.197 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.197 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.197 * [taylor]: Taking taylor expansion of re in re 2.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.197 * [taylor]: Taking taylor expansion of re in re 2.198 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.200 * [taylor]: Taking taylor expansion of re in re 2.202 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.202 * [taylor]: Taking taylor expansion of 1/3 in re 2.202 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.202 * [taylor]: Taking taylor expansion of 2.0 in re 2.205 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in re 2.205 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.205 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.205 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.205 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.205 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.206 * [taylor]: Taking taylor expansion of re in re 2.206 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.206 * [taylor]: Taking taylor expansion of im in re 2.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.206 * [taylor]: Taking taylor expansion of im in re 2.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.210 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.210 * [taylor]: Taking taylor expansion of 1/3 in re 2.210 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.210 * [taylor]: Taking taylor expansion of 2.0 in re 2.213 * [taylor]: Taking taylor expansion of 0 in im 2.217 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 1/3))) in im 2.217 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.217 * [taylor]: Taking taylor expansion of +nan.0 in im 2.218 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.218 * [taylor]: Taking taylor expansion of 1/3 in im 2.218 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.218 * [taylor]: Taking taylor expansion of 2.0 in im 2.237 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 1/3))) in im 2.237 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.237 * [taylor]: Taking taylor expansion of +nan.0 in im 2.237 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.237 * [taylor]: Taking taylor expansion of 1/3 in im 2.237 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.237 * [taylor]: Taking taylor expansion of 2.0 in im 2.256 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))))) in im 2.256 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))))) in im 2.256 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.256 * [taylor]: Taking taylor expansion of +nan.0 in im 2.256 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.256 * [taylor]: Taking taylor expansion of 1/3 in im 2.256 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.257 * [taylor]: Taking taylor expansion of 2.0 in im 2.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.260 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.260 * [taylor]: Taking taylor expansion of +nan.0 in im 2.260 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.260 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.260 * [taylor]: Taking taylor expansion of 1/3 in im 2.260 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.260 * [taylor]: Taking taylor expansion of 2.0 in im 2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.263 * [taylor]: Taking taylor expansion of im in im 2.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))))) in im 2.291 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))))) in im 2.291 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.291 * [taylor]: Taking taylor expansion of +nan.0 in im 2.291 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.291 * [taylor]: Taking taylor expansion of 1/3 in im 2.291 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.291 * [taylor]: Taking taylor expansion of 2.0 in im 2.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.294 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.294 * [taylor]: Taking taylor expansion of +nan.0 in im 2.294 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.294 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.294 * [taylor]: Taking taylor expansion of 1/3 in im 2.294 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.294 * [taylor]: Taking taylor expansion of 2.0 in im 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.298 * [taylor]: Taking taylor expansion of im in im 2.329 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.329 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.329 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.329 * [taylor]: Taking taylor expansion of 1/3 in im 2.329 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.329 * [taylor]: Taking taylor expansion of 2.0 in im 2.332 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.332 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.332 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.332 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.332 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.332 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.332 * [taylor]: Taking taylor expansion of -1 in im 2.332 * [taylor]: Taking taylor expansion of re in im 2.332 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.332 * [taylor]: Taking taylor expansion of -1 in im 2.332 * [taylor]: Taking taylor expansion of re in im 2.332 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.332 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.333 * [taylor]: Taking taylor expansion of -1 in im 2.333 * [taylor]: Taking taylor expansion of im in im 2.333 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.333 * [taylor]: Taking taylor expansion of -1 in im 2.333 * [taylor]: Taking taylor expansion of im in im 2.336 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.336 * [taylor]: Taking taylor expansion of re in im 2.337 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.337 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.337 * [taylor]: Taking taylor expansion of 1/3 in re 2.337 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.337 * [taylor]: Taking taylor expansion of 2.0 in re 2.340 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.340 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.340 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.341 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.341 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.341 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.341 * [taylor]: Taking taylor expansion of -1 in re 2.341 * [taylor]: Taking taylor expansion of re in re 2.341 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.341 * [taylor]: Taking taylor expansion of -1 in re 2.341 * [taylor]: Taking taylor expansion of re in re 2.341 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.341 * [taylor]: Taking taylor expansion of -1 in re 2.341 * [taylor]: Taking taylor expansion of im in re 2.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.341 * [taylor]: Taking taylor expansion of -1 in re 2.341 * [taylor]: Taking taylor expansion of im in re 2.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.344 * [taylor]: Taking taylor expansion of re in re 2.349 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.349 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.349 * [taylor]: Taking taylor expansion of 1/3 in re 2.349 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.349 * [taylor]: Taking taylor expansion of 2.0 in re 2.353 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.353 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.353 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.353 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.353 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.353 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.353 * [taylor]: Taking taylor expansion of -1 in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.353 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.353 * [taylor]: Taking taylor expansion of -1 in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.356 * [taylor]: Taking taylor expansion of re in re 2.362 * [taylor]: Taking taylor expansion of 0 in im 2.365 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.365 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.365 * [taylor]: Taking taylor expansion of +nan.0 in im 2.365 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.365 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.365 * [taylor]: Taking taylor expansion of 1/3 in im 2.366 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.366 * [taylor]: Taking taylor expansion of 2.0 in im 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.369 * [taylor]: Taking taylor expansion of im in im 2.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))) in im 2.383 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))) in im 2.383 * [taylor]: Taking taylor expansion of +nan.0 in im 2.383 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))) in im 2.383 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.383 * [taylor]: Taking taylor expansion of 1/3 in im 2.384 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) 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 2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.387 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.387 * [taylor]: Taking taylor expansion of im in im 2.433 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))))) in im 2.433 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))))) in im 2.433 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) in im 2.433 * [taylor]: Taking taylor expansion of +nan.0 in im 2.433 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6))) in im 2.433 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.433 * [taylor]: Taking taylor expansion of 1/3 in im 2.433 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.433 * [taylor]: Taking taylor expansion of 2.0 in im 2.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.436 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.436 * [taylor]: Taking taylor expansion of im in im 2.437 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))) in im 2.437 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))) in im 2.437 * [taylor]: Taking taylor expansion of +nan.0 in im 2.437 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))) in im 2.437 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.437 * [taylor]: Taking taylor expansion of 1/3 in im 2.438 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.438 * [taylor]: Taking taylor expansion of 2.0 in im 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.441 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.441 * [taylor]: Taking taylor expansion of im in im 2.518 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.518 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.518 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.518 * [taylor]: Taking taylor expansion of re in im 2.518 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.518 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.518 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.518 * [taylor]: Taking taylor expansion of (* re re) in im 2.518 * [taylor]: Taking taylor expansion of re in im 2.518 * [taylor]: Taking taylor expansion of re in im 2.518 * [taylor]: Taking taylor expansion of (* im im) in im 2.518 * [taylor]: Taking taylor expansion of im in im 2.519 * [taylor]: Taking taylor expansion of im in im 2.520 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.520 * [taylor]: Taking taylor expansion of re in re 2.520 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.520 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.520 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.520 * [taylor]: Taking taylor expansion of (* re re) in re 2.520 * [taylor]: Taking taylor expansion of re in re 2.520 * [taylor]: Taking taylor expansion of re in re 2.520 * [taylor]: Taking taylor expansion of (* im im) in re 2.520 * [taylor]: Taking taylor expansion of im in re 2.520 * [taylor]: Taking taylor expansion of im in re 2.521 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.521 * [taylor]: Taking taylor expansion of re in re 2.521 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.521 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.521 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.521 * [taylor]: Taking taylor expansion of (* re re) in re 2.521 * [taylor]: Taking taylor expansion of re in re 2.521 * [taylor]: Taking taylor expansion of re in re 2.521 * [taylor]: Taking taylor expansion of (* im im) in re 2.521 * [taylor]: Taking taylor expansion of im in re 2.521 * [taylor]: Taking taylor expansion of im in re 2.522 * [taylor]: Taking taylor expansion of im in im 2.523 * [taylor]: Taking taylor expansion of 1 in im 2.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.524 * [taylor]: Taking taylor expansion of 1/2 in im 2.524 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.524 * [taylor]: Taking taylor expansion of im in im 2.527 * [taylor]: Taking taylor expansion of 0 in im 2.528 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.528 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.528 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.528 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.528 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.528 * [taylor]: Taking taylor expansion of re in im 2.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.528 * [taylor]: Taking taylor expansion of re in im 2.528 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.528 * [taylor]: Taking taylor expansion of im in im 2.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.528 * [taylor]: Taking taylor expansion of im in im 2.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.531 * [taylor]: Taking taylor expansion of re in im 2.531 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.531 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.531 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.531 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.531 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.531 * [taylor]: Taking taylor expansion of re in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.532 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.532 * [taylor]: Taking taylor expansion of im in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.532 * [taylor]: Taking taylor expansion of im in re 2.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.535 * [taylor]: Taking taylor expansion of re in re 2.535 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.535 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.535 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.535 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.535 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.535 * [taylor]: Taking taylor expansion of re in re 2.535 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.535 * [taylor]: Taking taylor expansion of re in re 2.535 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.536 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.536 * [taylor]: Taking taylor expansion of im in re 2.536 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.536 * [taylor]: Taking taylor expansion of im in re 2.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.538 * [taylor]: Taking taylor expansion of re in re 2.539 * [taylor]: Taking taylor expansion of 2 in im 2.539 * [taylor]: Taking taylor expansion of 0 in im 2.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.542 * [taylor]: Taking taylor expansion of 1/2 in im 2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.542 * [taylor]: Taking taylor expansion of im in im 2.547 * [taylor]: Taking taylor expansion of 0 in im 2.555 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.555 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.555 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.555 * [taylor]: Taking taylor expansion of -1 in im 2.555 * [taylor]: Taking taylor expansion of re in im 2.556 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.556 * [taylor]: Taking taylor expansion of -1 in im 2.556 * [taylor]: Taking taylor expansion of re in im 2.556 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.556 * [taylor]: Taking taylor expansion of -1 in im 2.556 * [taylor]: Taking taylor expansion of im in im 2.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.556 * [taylor]: Taking taylor expansion of -1 in im 2.556 * [taylor]: Taking taylor expansion of im in im 2.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.559 * [taylor]: Taking taylor expansion of re in im 2.559 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.559 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.559 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.559 * [taylor]: Taking taylor expansion of -1 in re 2.559 * [taylor]: Taking taylor expansion of re in re 2.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.560 * [taylor]: Taking taylor expansion of -1 in re 2.560 * [taylor]: Taking taylor expansion of re in re 2.560 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.560 * [taylor]: Taking taylor expansion of -1 in re 2.560 * [taylor]: Taking taylor expansion of im in re 2.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.560 * [taylor]: Taking taylor expansion of -1 in re 2.560 * [taylor]: Taking taylor expansion of im in re 2.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.563 * [taylor]: Taking taylor expansion of re in re 2.563 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.563 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.563 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.563 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.563 * [taylor]: Taking taylor expansion of -1 in re 2.563 * [taylor]: Taking taylor expansion of re in re 2.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.563 * [taylor]: Taking taylor expansion of -1 in re 2.563 * [taylor]: Taking taylor expansion of re in re 2.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.564 * [taylor]: Taking taylor expansion of -1 in re 2.564 * [taylor]: Taking taylor expansion of im in re 2.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.564 * [taylor]: Taking taylor expansion of -1 in re 2.564 * [taylor]: Taking taylor expansion of im in re 2.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.566 * [taylor]: Taking taylor expansion of re in re 2.567 * [taylor]: Taking taylor expansion of 0 in im 2.568 * [taylor]: Taking taylor expansion of 0 in im 2.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.571 * [taylor]: Taking taylor expansion of 1/2 in im 2.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.571 * [taylor]: Taking taylor expansion of im in im 2.576 * [taylor]: Taking taylor expansion of 0 in im 2.578 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.578 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 2.578 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.578 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.578 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.578 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.578 * [taylor]: Taking taylor expansion of (* re re) in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [taylor]: Taking taylor expansion of (* im im) in im 2.578 * [taylor]: Taking taylor expansion of im in im 2.578 * [taylor]: Taking taylor expansion of im in im 2.580 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.580 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.580 * [taylor]: Taking taylor expansion of re in re 2.580 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.580 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.580 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.580 * [taylor]: Taking taylor expansion of (* re re) in re 2.580 * [taylor]: Taking taylor expansion of re in re 2.580 * [taylor]: Taking taylor expansion of re in re 2.580 * [taylor]: Taking taylor expansion of (* im im) in re 2.580 * [taylor]: Taking taylor expansion of im in re 2.580 * [taylor]: Taking taylor expansion of im in re 2.581 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.581 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.582 * [taylor]: Taking taylor expansion of re in re 2.582 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.582 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.582 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.582 * [taylor]: Taking taylor expansion of (* re re) in re 2.582 * [taylor]: Taking taylor expansion of re in re 2.582 * [taylor]: Taking taylor expansion of re in re 2.582 * [taylor]: Taking taylor expansion of (* im im) in re 2.582 * [taylor]: Taking taylor expansion of im in re 2.582 * [taylor]: Taking taylor expansion of im in re 2.583 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.583 * [taylor]: Taking taylor expansion of im in im 2.584 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.585 * [taylor]: Taking taylor expansion of 1/2 in im 2.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.585 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.585 * [taylor]: Taking taylor expansion of im in im 2.589 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.589 * [taylor]: Taking taylor expansion of 1/8 in im 2.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.589 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.589 * [taylor]: Taking taylor expansion of im in im 2.595 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 2.595 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.595 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.595 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.595 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.595 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.595 * [taylor]: Taking taylor expansion of re in im 2.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.596 * [taylor]: Taking taylor expansion of re in im 2.596 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.596 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.596 * [taylor]: Taking taylor expansion of im in im 2.596 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.596 * [taylor]: Taking taylor expansion of im in im 2.599 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.599 * [taylor]: Taking taylor expansion of re in im 2.600 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.600 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.600 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.600 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.600 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.600 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.600 * [taylor]: Taking taylor expansion of re in re 2.600 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.600 * [taylor]: Taking taylor expansion of re in re 2.601 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.601 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.601 * [taylor]: Taking taylor expansion of im in re 2.601 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.601 * [taylor]: Taking taylor expansion of im in re 2.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.603 * [taylor]: Taking taylor expansion of re in re 2.604 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.605 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.605 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.605 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.605 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.605 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.605 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.605 * [taylor]: Taking taylor expansion of re in re 2.605 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.605 * [taylor]: Taking taylor expansion of re in re 2.605 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.605 * [taylor]: Taking taylor expansion of im in re 2.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.605 * [taylor]: Taking taylor expansion of im in re 2.608 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.608 * [taylor]: Taking taylor expansion of re in re 2.609 * [taylor]: Taking taylor expansion of 0 in im 2.609 * [taylor]: Taking taylor expansion of +nan.0 in im 2.612 * [taylor]: Taking taylor expansion of +nan.0 in im 2.616 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.616 * [taylor]: Taking taylor expansion of +nan.0 in im 2.616 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.616 * [taylor]: Taking taylor expansion of 1/2 in im 2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.616 * [taylor]: Taking taylor expansion of im in im 2.617 * [taylor]: Taking taylor expansion of +nan.0 in im 2.623 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.623 * [taylor]: Taking taylor expansion of +nan.0 in im 2.623 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.623 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.623 * [taylor]: Taking taylor expansion of +nan.0 in im 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.623 * [taylor]: Taking taylor expansion of im in im 2.623 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.623 * [taylor]: Taking taylor expansion of +nan.0 in im 2.630 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.630 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.630 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.630 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.630 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.630 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.630 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.630 * [taylor]: Taking taylor expansion of -1 in im 2.630 * [taylor]: Taking taylor expansion of re in im 2.630 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.630 * [taylor]: Taking taylor expansion of -1 in im 2.630 * [taylor]: Taking taylor expansion of re in im 2.630 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.630 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.630 * [taylor]: Taking taylor expansion of -1 in im 2.630 * [taylor]: Taking taylor expansion of im in im 2.630 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.630 * [taylor]: Taking taylor expansion of -1 in im 2.630 * [taylor]: Taking taylor expansion of im in im 2.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.633 * [taylor]: Taking taylor expansion of re in im 2.635 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.635 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.635 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.635 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.635 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.635 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.635 * [taylor]: Taking taylor expansion of -1 in re 2.635 * [taylor]: Taking taylor expansion of re in re 2.635 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.635 * [taylor]: Taking taylor expansion of -1 in re 2.635 * [taylor]: Taking taylor expansion of re in re 2.635 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.635 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.635 * [taylor]: Taking taylor expansion of -1 in re 2.636 * [taylor]: Taking taylor expansion of im in re 2.636 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.636 * [taylor]: Taking taylor expansion of -1 in re 2.636 * [taylor]: Taking taylor expansion of im in re 2.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.644 * [taylor]: Taking taylor expansion of re in re 2.650 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.650 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.650 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.650 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.650 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.650 * [taylor]: Taking taylor expansion of -1 in re 2.650 * [taylor]: Taking taylor expansion of re in re 2.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.650 * [taylor]: Taking taylor expansion of -1 in re 2.650 * [taylor]: Taking taylor expansion of re in re 2.651 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.651 * [taylor]: Taking taylor expansion of -1 in re 2.651 * [taylor]: Taking taylor expansion of im in re 2.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.651 * [taylor]: Taking taylor expansion of -1 in re 2.651 * [taylor]: Taking taylor expansion of im in re 2.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.653 * [taylor]: Taking taylor expansion of re in re 2.659 * [taylor]: Taking taylor expansion of 0 in im 2.659 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.659 * [taylor]: Taking taylor expansion of +nan.0 in im 2.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.659 * [taylor]: Taking taylor expansion of im in im 2.664 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.664 * [taylor]: Taking taylor expansion of +nan.0 in im 2.664 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.664 * [taylor]: Taking taylor expansion of im in im 2.675 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 2.675 * [taylor]: Taking taylor expansion of +nan.0 in im 2.675 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 2.675 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.675 * [taylor]: Taking taylor expansion of 1/8 in im 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.675 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.675 * [taylor]: Taking taylor expansion of im in im 2.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 2.676 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.676 * [taylor]: Taking taylor expansion of +nan.0 in im 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.676 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.676 * [taylor]: Taking taylor expansion of im in im 2.699 * * * [progress]: simplifying candidates 2.700 * [simplify]: Simplifying using # : (expm1 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log1p (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im)))))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im)))))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (exp (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (* (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))) (expm1 (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log1p (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (log (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (cbrt (sqrt 2.0)) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (sqrt 1)) (* (cbrt (sqrt 2.0)) (sqrt 1)) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) 1) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (cbrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (pow re 2))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) im)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) re))))))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow re 2)))) (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 re)))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 2.707 * * [simplify]: iteration 0 : 448 enodes (cost 927 ) 2.715 * * [simplify]: iteration 1 : 1707 enodes (cost 772 ) 2.754 * * [simplify]: iteration 2 : 5001 enodes (cost 711 ) 2.758 * [simplify]: Simplified to: (expm1 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log1p (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (pow (exp (sqrt (+ re (hypot re im)))) (pow (pow (sqrt 2.0) 1/3) 3)) (* (* 2.0 (pow (sqrt (+ re (hypot re im))) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (+ re (hypot re im))) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (+ re (hypot re im))) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (+ re (hypot re im))) 3)) (sqrt 2.0)) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* 2.0 (pow (sqrt (+ re (hypot re im))) 3)) (sqrt 2.0)) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt 2.0) (* (sqrt (+ re (hypot re im))) (pow (sqrt 2.0) 2/3)) (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (pow (pow (sqrt 2.0) 1/3) 3)) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (pow (pow (sqrt 2.0) 1/3) 3)) (expm1 (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log1p (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (log (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (pow (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (pow (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (pow (sqrt 2.0) 1/3)) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (pow (sqrt 2.0) 1/3) (pow (sqrt 2.0) 1/3) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (pow (sqrt 2.0) 1/3) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (pow (sqrt 2.0) 1/3) (hypot (pow (hypot re im) 3/2) (pow re 3/2))) (* (cbrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (* (* +nan.0 (pow (sqrt 2.0) 1/3)) (+ (- (pow re 2)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 1/3) (pow re 2)) (* +nan.0 (+ (pow (sqrt 2.0) 1/3) (/ (- (pow (sqrt 2.0) 1/3)) re)))) 0 (+ re im) (* 2 re) 0 (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 2.759 * * * [progress]: adding candidates to table 3.053 * [progress]: [Phase 3 of 3] Extracting. 3.054 * * [regime]: Finding splitpoints for: (# # # # #) 3.055 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.055 * * * * [regimes]: Trying to branch on im from (# # # # #) 3.099 * * * * [regimes]: Trying to branch on re from (# # # # #) 3.139 * * * [regime]: Found split indices: #