12.285 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.035 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.063 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.076 * [taylor]: Taking taylor expansion of 1/2 in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.080 * [taylor]: Taking taylor expansion of re in im 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of 1 in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of 1 in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of 1/2 in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.108 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.108 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.108 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.109 * [taylor]: Taking taylor expansion of re 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 (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.110 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of 1 in im 0.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.111 * [taylor]: Taking taylor expansion of 1/2 in im 0.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.115 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.115 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of 2 in im 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.127 * [taylor]: Taking taylor expansion of 1/2 in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.133 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.133 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.142 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.142 * [taylor]: Taking taylor expansion of im in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.158 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.158 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.158 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.158 * [taylor]: Taking taylor expansion of 2.0 in im 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.159 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.160 * [taylor]: Taking taylor expansion of 2.0 in re 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.160 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.161 * [taylor]: Taking taylor expansion of 2.0 in re 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.162 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.163 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.163 * [taylor]: Taking taylor expansion of 2.0 in im 0.164 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.166 * [taylor]: Taking taylor expansion of 1/2 in im 0.166 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.166 * [taylor]: Taking taylor expansion of 2.0 in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.178 * [taylor]: Taking taylor expansion of 1/8 in im 0.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.178 * [taylor]: Taking taylor expansion of 2.0 in im 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.193 * [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 0.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.193 * [taylor]: Taking taylor expansion of 2.0 in im 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.194 * [taylor]: Taking taylor expansion of re in im 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.194 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.198 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.198 * [taylor]: Taking taylor expansion of 2.0 in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.203 * [taylor]: Taking taylor expansion of 2.0 in re 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.209 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.209 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.209 * [taylor]: Taking taylor expansion of +nan.0 in im 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.209 * [taylor]: Taking taylor expansion of 2.0 in im 0.214 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.214 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.215 * [taylor]: Taking taylor expansion of +nan.0 in im 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.215 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.230 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.230 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.230 * [taylor]: Taking taylor expansion of +nan.0 in im 0.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.230 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.231 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.231 * [taylor]: Taking taylor expansion of +nan.0 in im 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.231 * [taylor]: Taking taylor expansion of 2.0 in im 0.242 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.242 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.242 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.242 * [taylor]: Taking taylor expansion of +nan.0 in im 0.242 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.242 * [taylor]: Taking taylor expansion of 2.0 in im 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.244 * [taylor]: Taking taylor expansion of +nan.0 in im 0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.244 * [taylor]: Taking taylor expansion of 2.0 in im 0.257 * [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 0.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.257 * [taylor]: Taking taylor expansion of 2.0 in im 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.260 * [taylor]: Taking taylor expansion of re in im 0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.262 * [taylor]: Taking taylor expansion of 2.0 in re 0.262 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.263 * [taylor]: Taking taylor expansion of im in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.270 * [taylor]: Taking taylor expansion of 2.0 in re 0.271 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.279 * [taylor]: Taking taylor expansion of 0 in im 0.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.279 * [taylor]: Taking taylor expansion of +nan.0 in im 0.279 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.287 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.287 * [taylor]: Taking taylor expansion of +nan.0 in im 0.287 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.287 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.304 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.304 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.304 * [taylor]: Taking taylor expansion of +nan.0 in im 0.304 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.304 * [taylor]: Taking taylor expansion of 2.0 in im 0.304 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.304 * [taylor]: Taking taylor expansion of im in im 0.305 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.305 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.305 * [taylor]: Taking taylor expansion of +nan.0 in im 0.306 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.306 * [taylor]: Taking taylor expansion of 2.0 in im 0.306 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.306 * [taylor]: Taking taylor expansion of im in im 0.337 * * * [progress]: simplifying candidates 0.337 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.342 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.347 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.361 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.408 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.410 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.411 * * * [progress]: adding candidates to table 0.570 * * [progress]: iteration 2 / 4 0.570 * * * [progress]: picking best candidate 0.576 * * * * [pick]: Picked # 0.576 * * * [progress]: localizing error 0.588 * * * [progress]: generating rewritten candidates 0.588 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.591 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 1) 0.592 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.598 * * * [progress]: generating series expansions 0.598 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.598 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.598 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.598 * [taylor]: Taking taylor expansion of re in im 0.598 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.598 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.598 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.598 * [taylor]: Taking taylor expansion of (* re re) in im 0.598 * [taylor]: Taking taylor expansion of re in im 0.598 * [taylor]: Taking taylor expansion of re in im 0.598 * [taylor]: Taking taylor expansion of (* im im) in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.600 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.600 * [taylor]: Taking taylor expansion of re in re 0.600 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.600 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.600 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.600 * [taylor]: Taking taylor expansion of (* re re) in re 0.600 * [taylor]: Taking taylor expansion of re in re 0.600 * [taylor]: Taking taylor expansion of re in re 0.600 * [taylor]: Taking taylor expansion of (* im im) in re 0.600 * [taylor]: Taking taylor expansion of im in re 0.600 * [taylor]: Taking taylor expansion of im in re 0.601 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.601 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.601 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.601 * [taylor]: Taking taylor expansion of (* re re) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [taylor]: Taking taylor expansion of (* im im) in re 0.601 * [taylor]: Taking taylor expansion of im in re 0.601 * [taylor]: Taking taylor expansion of im in re 0.602 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of 1 in im 0.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.604 * [taylor]: Taking taylor expansion of 1/2 in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of 0 in im 0.608 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.608 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.608 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.608 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.612 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.612 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.612 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.613 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.613 * [taylor]: Taking taylor expansion of im in re 0.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.613 * [taylor]: Taking taylor expansion of im in re 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.615 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.616 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.616 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.616 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.616 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.616 * [taylor]: Taking taylor expansion of im in re 0.616 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.616 * [taylor]: Taking taylor expansion of im in re 0.619 * [taylor]: Taking taylor expansion of 2 in im 0.620 * [taylor]: Taking taylor expansion of 0 in im 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.623 * [taylor]: Taking taylor expansion of 1/2 in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.627 * [taylor]: Taking taylor expansion of 0 in im 0.629 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.629 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.629 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.629 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.629 * [taylor]: Taking taylor expansion of -1 in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.629 * [taylor]: Taking taylor expansion of -1 in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.629 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.629 * [taylor]: Taking taylor expansion of -1 in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.630 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.630 * [taylor]: Taking taylor expansion of -1 in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.633 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.633 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.633 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [taylor]: Taking taylor expansion of re in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [taylor]: Taking taylor expansion of re in re 0.633 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.634 * [taylor]: Taking taylor expansion of -1 in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.637 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.642 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.645 * [taylor]: Taking taylor expansion of 1/2 in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.650 * [taylor]: Taking taylor expansion of 0 in im 0.652 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 1) 0.652 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.652 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.652 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.652 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.652 * [taylor]: Taking taylor expansion of (* re re) in im 0.652 * [taylor]: Taking taylor expansion of re in im 0.652 * [taylor]: Taking taylor expansion of re in im 0.652 * [taylor]: Taking taylor expansion of (* im im) in im 0.652 * [taylor]: Taking taylor expansion of im in im 0.652 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.653 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.653 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.653 * [taylor]: Taking taylor expansion of (* re re) in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [taylor]: Taking taylor expansion of (* im im) in re 0.653 * [taylor]: Taking taylor expansion of im in re 0.653 * [taylor]: Taking taylor expansion of im in re 0.654 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.654 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.654 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.654 * [taylor]: Taking taylor expansion of (* re re) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of (* im im) in re 0.655 * [taylor]: Taking taylor expansion of im in re 0.655 * [taylor]: Taking taylor expansion of im in re 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.657 * [taylor]: Taking taylor expansion of 1/2 in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.660 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.660 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.660 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.660 * [taylor]: Taking taylor expansion of re in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.660 * [taylor]: Taking taylor expansion of re in im 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.661 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.663 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.664 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.667 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.667 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of 1 in im 0.670 * [taylor]: Taking taylor expansion of 0 in im 0.678 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.678 * [taylor]: Taking taylor expansion of 1/2 in im 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of 0 in im 0.683 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.683 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.683 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.683 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.683 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.683 * [taylor]: Taking taylor expansion of -1 in im 0.683 * [taylor]: Taking taylor expansion of re in im 0.683 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.683 * [taylor]: Taking taylor expansion of -1 in im 0.683 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.687 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.687 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.687 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.687 * [taylor]: Taking taylor expansion of -1 in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.687 * [taylor]: Taking taylor expansion of -1 in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.687 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.688 * [taylor]: Taking taylor expansion of -1 in re 0.688 * [taylor]: Taking taylor expansion of im in re 0.688 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.688 * [taylor]: Taking taylor expansion of -1 in re 0.688 * [taylor]: Taking taylor expansion of im in re 0.690 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.690 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.690 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.690 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.690 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.690 * [taylor]: Taking taylor expansion of -1 in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.691 * [taylor]: Taking taylor expansion of -1 in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.691 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.691 * [taylor]: Taking taylor expansion of -1 in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.691 * [taylor]: Taking taylor expansion of -1 in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of 1 in im 0.694 * [taylor]: Taking taylor expansion of 0 in im 0.696 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.696 * [taylor]: Taking taylor expansion of 1/2 in im 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.701 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.701 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.701 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.701 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.701 * [taylor]: Taking taylor expansion of (* re re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (* im im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.703 * [taylor]: Taking taylor expansion of 2.0 in im 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 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.704 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.704 * [taylor]: Taking taylor expansion of (* re re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (* im im) in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.705 * [taylor]: Taking taylor expansion of 2.0 in re 0.706 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.706 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.706 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.706 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.706 * [taylor]: Taking taylor expansion of (* re re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (* im im) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.708 * [taylor]: Taking taylor expansion of 2.0 in re 0.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.709 * [taylor]: Taking taylor expansion of 2.0 in im 0.709 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.712 * [taylor]: Taking taylor expansion of 1/2 in im 0.712 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.712 * [taylor]: Taking taylor expansion of 2.0 in im 0.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.723 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.723 * [taylor]: Taking taylor expansion of 1/8 in im 0.723 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.723 * [taylor]: Taking taylor expansion of 2.0 in im 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.724 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.739 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.739 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.739 * [taylor]: Taking taylor expansion of re in im 0.739 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.739 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.739 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.739 * [taylor]: Taking taylor expansion of re in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.739 * [taylor]: Taking taylor expansion of re in im 0.739 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.743 * [taylor]: Taking taylor expansion of 2.0 in im 0.744 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.744 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.749 * [taylor]: Taking taylor expansion of 2.0 in re 0.749 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.750 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.750 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.751 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.755 * [taylor]: Taking taylor expansion of 2.0 in re 0.756 * [taylor]: Taking taylor expansion of 0 in im 0.757 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.757 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.757 * [taylor]: Taking taylor expansion of +nan.0 in im 0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.757 * [taylor]: Taking taylor expansion of 2.0 in im 0.769 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.770 * [taylor]: Taking taylor expansion of +nan.0 in im 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.770 * [taylor]: Taking taylor expansion of 2.0 in im 0.779 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.779 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.779 * [taylor]: Taking taylor expansion of +nan.0 in im 0.779 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.779 * [taylor]: Taking taylor expansion of 2.0 in im 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.780 * [taylor]: Taking taylor expansion of +nan.0 in im 0.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.780 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.792 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.792 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.792 * [taylor]: Taking taylor expansion of +nan.0 in im 0.792 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.794 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.794 * [taylor]: Taking taylor expansion of +nan.0 in im 0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.794 * [taylor]: Taking taylor expansion of 2.0 in im 0.806 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.806 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.806 * [taylor]: Taking taylor expansion of 2.0 in im 0.807 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.807 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.807 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.807 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.807 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.807 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.807 * [taylor]: Taking taylor expansion of -1 in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.807 * [taylor]: Taking taylor expansion of -1 in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.807 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.807 * [taylor]: Taking taylor expansion of -1 in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.808 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.808 * [taylor]: Taking taylor expansion of -1 in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.811 * [taylor]: Taking taylor expansion of re in im 0.812 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.812 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.812 * [taylor]: Taking taylor expansion of 2.0 in re 0.812 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.812 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.813 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.813 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.813 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.813 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.813 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.813 * [taylor]: Taking taylor expansion of -1 in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.813 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.813 * [taylor]: Taking taylor expansion of -1 in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.813 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.813 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.813 * [taylor]: Taking taylor expansion of -1 in re 0.813 * [taylor]: Taking taylor expansion of im in re 0.813 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.813 * [taylor]: Taking taylor expansion of -1 in re 0.813 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.816 * [taylor]: Taking taylor expansion of re in re 0.822 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.822 * [taylor]: Taking taylor expansion of 2.0 in re 0.822 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.822 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.823 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of 0 in im 0.832 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.832 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.832 * [taylor]: Taking taylor expansion of +nan.0 in im 0.832 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.832 * [taylor]: Taking taylor expansion of 2.0 in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.841 * [taylor]: Taking taylor expansion of +nan.0 in im 0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.841 * [taylor]: Taking taylor expansion of 2.0 in im 0.841 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.864 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.864 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.864 * [taylor]: Taking taylor expansion of +nan.0 in im 0.864 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.864 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.864 * [taylor]: Taking taylor expansion of 2.0 in im 0.865 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.866 * [taylor]: Taking taylor expansion of +nan.0 in im 0.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.866 * [taylor]: Taking taylor expansion of 2.0 in im 0.867 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.889 * * * [progress]: simplifying candidates 0.890 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (* (* (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 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 0.894 * * [simplify]: iteration 0 : 196 enodes (cost 197 ) 0.898 * * [simplify]: iteration 1 : 536 enodes (cost 180 ) 0.907 * * [simplify]: iteration 2 : 1779 enodes (cost 174 ) 0.940 * * [simplify]: iteration 3 : 5002 enodes (cost 172 ) 0.942 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (- (- im re) (pow re 2))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.942 * * * [progress]: adding candidates to table 1.060 * * [progress]: iteration 3 / 4 1.060 * * * [progress]: picking best candidate 1.073 * * * * [pick]: Picked # 1.073 * * * [progress]: localizing error 1.084 * * * [progress]: generating rewritten candidates 1.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.085 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 1.088 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.089 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 1.091 * * * [progress]: generating series expansions 1.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.091 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in (re im) around 0 1.091 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 1.091 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 1.091 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 1.091 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 1.091 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1.091 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 1.091 * [taylor]: Taking taylor expansion of 1 in im 1.091 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.091 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.092 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.092 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.092 * [taylor]: Taking taylor expansion of (* re re) in im 1.092 * [taylor]: Taking taylor expansion of re in im 1.092 * [taylor]: Taking taylor expansion of re in im 1.092 * [taylor]: Taking taylor expansion of (* im im) in im 1.092 * [taylor]: Taking taylor expansion of im in im 1.092 * [taylor]: Taking taylor expansion of im in im 1.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.094 * [taylor]: Taking taylor expansion of 2.0 in im 1.098 * [taylor]: Taking taylor expansion of 1 in im 1.098 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 1.098 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 1.098 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 1.098 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.098 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1.098 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.098 * [taylor]: Taking taylor expansion of 1 in re 1.098 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.098 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.098 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.098 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.098 * [taylor]: Taking taylor expansion of (* re re) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (* im im) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.100 * [taylor]: Taking taylor expansion of 2.0 in re 1.102 * [taylor]: Taking taylor expansion of 1 in re 1.102 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 1.102 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 1.102 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 1.102 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.102 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1.102 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.102 * [taylor]: Taking taylor expansion of 1 in re 1.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.102 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.102 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.102 * [taylor]: Taking taylor expansion of re in re 1.102 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.102 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.102 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.102 * [taylor]: Taking taylor expansion of (* re re) in re 1.102 * [taylor]: Taking taylor expansion of re in re 1.102 * [taylor]: Taking taylor expansion of re in re 1.102 * [taylor]: Taking taylor expansion of (* im im) in re 1.102 * [taylor]: Taking taylor expansion of im in re 1.102 * [taylor]: Taking taylor expansion of im in re 1.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.103 * [taylor]: Taking taylor expansion of 2.0 in re 1.105 * [taylor]: Taking taylor expansion of 1 in re 1.106 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.106 * [taylor]: Taking taylor expansion of 2.0 in im 1.107 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.107 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.111 * [taylor]: Taking taylor expansion of 1/2 in im 1.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.111 * [taylor]: Taking taylor expansion of 2.0 in im 1.112 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.112 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.112 * [taylor]: Taking taylor expansion of im in im 1.134 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.134 * [taylor]: Taking taylor expansion of 1/8 in im 1.134 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.134 * [taylor]: Taking taylor expansion of 2.0 in im 1.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.135 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.135 * [taylor]: Taking taylor expansion of im in im 1.150 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in (re im) around 0 1.150 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 1.150 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 1.150 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 1.150 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 1.150 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1.150 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 1.150 * [taylor]: Taking taylor expansion of 1 in im 1.150 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.150 * [taylor]: Taking taylor expansion of re in im 1.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.150 * [taylor]: Taking taylor expansion of re in im 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.150 * [taylor]: Taking taylor expansion of re in im 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.151 * [taylor]: Taking taylor expansion of im in im 1.151 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.151 * [taylor]: Taking taylor expansion of im in im 1.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.155 * [taylor]: Taking taylor expansion of 2.0 in im 1.162 * [taylor]: Taking taylor expansion of 1 in im 1.162 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 1.162 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 1.162 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 1.162 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.162 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1.162 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.162 * [taylor]: Taking taylor expansion of 1 in re 1.162 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.163 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.163 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.163 * [taylor]: Taking taylor expansion of im in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.163 * [taylor]: Taking taylor expansion of im in re 1.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.167 * [taylor]: Taking taylor expansion of 2.0 in re 1.174 * [taylor]: Taking taylor expansion of 1 in re 1.174 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 1.174 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 1.174 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 1.174 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.174 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1.174 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.174 * [taylor]: Taking taylor expansion of 1 in re 1.174 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.174 * [taylor]: Taking taylor expansion of re in re 1.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.175 * [taylor]: Taking taylor expansion of re in re 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.175 * [taylor]: Taking taylor expansion of re in re 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.176 * [taylor]: Taking taylor expansion of im in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.176 * [taylor]: Taking taylor expansion of im in re 1.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.179 * [taylor]: Taking taylor expansion of 2.0 in re 1.186 * [taylor]: Taking taylor expansion of 1 in re 1.188 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.188 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.188 * [taylor]: Taking taylor expansion of +nan.0 in im 1.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.188 * [taylor]: Taking taylor expansion of 2.0 in im 1.221 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.222 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.222 * [taylor]: Taking taylor expansion of +nan.0 in im 1.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.222 * [taylor]: Taking taylor expansion of 2.0 in im 1.267 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))))) in im 1.267 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))))) in im 1.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 1.267 * [taylor]: Taking taylor expansion of +nan.0 in im 1.267 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 1.267 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.267 * [taylor]: Taking taylor expansion of 2.0 in im 1.267 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 1.268 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.268 * [taylor]: Taking taylor expansion of 1 in im 1.268 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.268 * [taylor]: Taking taylor expansion of +nan.0 in im 1.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.268 * [taylor]: Taking taylor expansion of 2.0 in im 1.277 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))) in im 1.277 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))) in im 1.277 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 1.277 * [taylor]: Taking taylor expansion of +nan.0 in im 1.277 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 1.277 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 1.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.277 * [taylor]: Taking taylor expansion of 2.0 in im 1.278 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 1.278 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.278 * [taylor]: Taking taylor expansion of 1 in im 1.278 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.278 * [taylor]: Taking taylor expansion of +nan.0 in im 1.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.278 * [taylor]: Taking taylor expansion of 2.0 in im 1.296 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))) in im 1.296 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))) in im 1.296 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) in im 1.296 * [taylor]: Taking taylor expansion of +nan.0 in im 1.296 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.296 * [taylor]: Taking taylor expansion of 2.0 in im 1.297 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.297 * [taylor]: Taking taylor expansion of 1 in im 1.297 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.297 * [taylor]: Taking taylor expansion of +nan.0 in im 1.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.297 * [taylor]: Taking taylor expansion of 2.0 in im 1.302 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))) in im 1.302 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))) in im 1.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) 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) (- 1 (* +nan.0 (sqrt 2.0))))) 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) (- 1 (* +nan.0 (sqrt 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 1.303 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.303 * [taylor]: Taking taylor expansion of 1 in im 1.303 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.303 * [taylor]: Taking taylor expansion of +nan.0 in im 1.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.303 * [taylor]: Taking taylor expansion of 2.0 in im 1.310 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))) in im 1.310 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))) in im 1.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 1.310 * [taylor]: Taking taylor expansion of +nan.0 in im 1.310 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.310 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.310 * [taylor]: Taking taylor expansion of 2.0 in im 1.310 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.310 * [taylor]: Taking taylor expansion of 1 in im 1.310 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.310 * [taylor]: Taking taylor expansion of +nan.0 in im 1.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.311 * [taylor]: Taking taylor expansion of 2.0 in im 1.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))) in im 1.317 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 1.317 * [taylor]: Taking taylor expansion of +nan.0 in im 1.317 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 1.317 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.317 * [taylor]: Taking taylor expansion of 2.0 in im 1.318 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.318 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.318 * [taylor]: Taking taylor expansion of 1 in im 1.318 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.318 * [taylor]: Taking taylor expansion of +nan.0 in im 1.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.318 * [taylor]: Taking taylor expansion of 2.0 in im 1.534 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in (re im) around 0 1.534 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 1.534 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 1.534 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 1.534 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.534 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1.534 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.534 * [taylor]: Taking taylor expansion of 1 in im 1.534 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.534 * [taylor]: Taking taylor expansion of 2.0 in im 1.535 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.535 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.535 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.535 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.535 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.535 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.535 * [taylor]: Taking taylor expansion of -1 in im 1.535 * [taylor]: Taking taylor expansion of re in im 1.535 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.535 * [taylor]: Taking taylor expansion of -1 in im 1.535 * [taylor]: Taking taylor expansion of re in im 1.535 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.535 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.535 * [taylor]: Taking taylor expansion of -1 in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.536 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.536 * [taylor]: Taking taylor expansion of -1 in im 1.536 * [taylor]: Taking taylor expansion of im in im 1.539 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.539 * [taylor]: Taking taylor expansion of re in im 1.546 * [taylor]: Taking taylor expansion of 1 in im 1.547 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 1.547 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 1.547 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 1.547 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.547 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1.547 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.547 * [taylor]: Taking taylor expansion of 1 in re 1.547 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.547 * [taylor]: Taking taylor expansion of 2.0 in re 1.547 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.547 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.547 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.548 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.548 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.548 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.548 * [taylor]: Taking taylor expansion of -1 in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.548 * [taylor]: Taking taylor expansion of -1 in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.548 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.548 * [taylor]: Taking taylor expansion of -1 in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.548 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.548 * [taylor]: Taking taylor expansion of -1 in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of 1 in re 1.559 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 1.559 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 1.559 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 1.559 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.559 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1.559 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.559 * [taylor]: Taking taylor expansion of 1 in re 1.559 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.559 * [taylor]: Taking taylor expansion of 2.0 in re 1.560 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.560 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.560 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.560 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.560 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.560 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.560 * [taylor]: Taking taylor expansion of -1 in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.560 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.560 * [taylor]: Taking taylor expansion of -1 in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.561 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.561 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.561 * [taylor]: Taking taylor expansion of -1 in re 1.561 * [taylor]: Taking taylor expansion of im in re 1.561 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.561 * [taylor]: Taking taylor expansion of -1 in re 1.561 * [taylor]: Taking taylor expansion of im in re 1.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.571 * [taylor]: Taking taylor expansion of 1 in re 1.572 * [taylor]: Taking taylor expansion of 0 in im 1.573 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.573 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.573 * [taylor]: Taking taylor expansion of +nan.0 in im 1.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.573 * [taylor]: Taking taylor expansion of 2.0 in im 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.588 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) in im 1.588 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) in im 1.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 1.589 * [taylor]: Taking taylor expansion of +nan.0 in im 1.589 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 1.589 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.589 * [taylor]: Taking taylor expansion of 2.0 in im 1.590 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.592 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.592 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.592 * [taylor]: Taking taylor expansion of +nan.0 in im 1.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.592 * [taylor]: Taking taylor expansion of 2.0 in im 1.593 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.623 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 1.624 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.624 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.624 * [taylor]: Taking taylor expansion of re in im 1.624 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.624 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.624 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.624 * [taylor]: Taking taylor expansion of (* re re) in im 1.624 * [taylor]: Taking taylor expansion of re in im 1.624 * [taylor]: Taking taylor expansion of re in im 1.624 * [taylor]: Taking taylor expansion of (* im im) in im 1.624 * [taylor]: Taking taylor expansion of im in im 1.624 * [taylor]: Taking taylor expansion of im in im 1.625 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.625 * [taylor]: Taking taylor expansion of re in re 1.625 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.625 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.625 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.625 * [taylor]: Taking taylor expansion of (* re re) in re 1.625 * [taylor]: Taking taylor expansion of re in re 1.625 * [taylor]: Taking taylor expansion of re in re 1.625 * [taylor]: Taking taylor expansion of (* im im) in re 1.625 * [taylor]: Taking taylor expansion of im in re 1.625 * [taylor]: Taking taylor expansion of im in re 1.626 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.627 * [taylor]: Taking taylor expansion of re in re 1.627 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.627 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.627 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.627 * [taylor]: Taking taylor expansion of (* re re) in re 1.627 * [taylor]: Taking taylor expansion of re in re 1.627 * [taylor]: Taking taylor expansion of re in re 1.627 * [taylor]: Taking taylor expansion of (* im im) in re 1.627 * [taylor]: Taking taylor expansion of im in re 1.627 * [taylor]: Taking taylor expansion of im in re 1.628 * [taylor]: Taking taylor expansion of im in im 1.628 * [taylor]: Taking taylor expansion of 1 in im 1.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.630 * [taylor]: Taking taylor expansion of 1/2 in im 1.630 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.630 * [taylor]: Taking taylor expansion of im in im 1.632 * [taylor]: Taking taylor expansion of 0 in im 1.633 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.634 * [taylor]: Taking taylor expansion of re in im 1.634 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.634 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.634 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.634 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.634 * [taylor]: Taking taylor expansion of re in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.634 * [taylor]: Taking taylor expansion of re in im 1.634 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.634 * [taylor]: Taking taylor expansion of im in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.634 * [taylor]: Taking taylor expansion of im in im 1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.637 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.637 * [taylor]: Taking taylor expansion of re in re 1.637 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.637 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.637 * [taylor]: Taking taylor expansion of re in re 1.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.638 * [taylor]: Taking taylor expansion of re in re 1.638 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.638 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.638 * [taylor]: Taking taylor expansion of im in re 1.638 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.638 * [taylor]: Taking taylor expansion of im in re 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.640 * [taylor]: Taking taylor expansion of re in re 1.641 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.641 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.641 * [taylor]: Taking taylor expansion of re in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.641 * [taylor]: Taking taylor expansion of re in re 1.641 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.641 * [taylor]: Taking taylor expansion of im in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.641 * [taylor]: Taking taylor expansion of im in re 1.644 * [taylor]: Taking taylor expansion of 2 in im 1.645 * [taylor]: Taking taylor expansion of 0 in im 1.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.648 * [taylor]: Taking taylor expansion of 1/2 in im 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.648 * [taylor]: Taking taylor expansion of im in im 1.653 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.654 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.654 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.654 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.654 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.654 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.654 * [taylor]: Taking taylor expansion of -1 in im 1.654 * [taylor]: Taking taylor expansion of re in im 1.654 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.655 * [taylor]: Taking taylor expansion of -1 in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.655 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.655 * [taylor]: Taking taylor expansion of -1 in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.655 * [taylor]: Taking taylor expansion of -1 in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.658 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.658 * [taylor]: Taking taylor expansion of re in im 1.658 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.658 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.658 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.658 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.658 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.658 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.658 * [taylor]: Taking taylor expansion of -1 in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.658 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.658 * [taylor]: Taking taylor expansion of -1 in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.659 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.659 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.659 * [taylor]: Taking taylor expansion of -1 in re 1.659 * [taylor]: Taking taylor expansion of im in re 1.659 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.659 * [taylor]: Taking taylor expansion of -1 in re 1.659 * [taylor]: Taking taylor expansion of im in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.662 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.662 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.662 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.662 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.662 * [taylor]: Taking taylor expansion of -1 in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.662 * [taylor]: Taking taylor expansion of -1 in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.662 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.662 * [taylor]: Taking taylor expansion of -1 in re 1.662 * [taylor]: Taking taylor expansion of im in re 1.662 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.663 * [taylor]: Taking taylor expansion of -1 in re 1.663 * [taylor]: Taking taylor expansion of im in re 1.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.665 * [taylor]: Taking taylor expansion of re in re 1.666 * [taylor]: Taking taylor expansion of 0 in im 1.667 * [taylor]: Taking taylor expansion of 0 in im 1.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.670 * [taylor]: Taking taylor expansion of 1/2 in im 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.670 * [taylor]: Taking taylor expansion of im in im 1.675 * [taylor]: Taking taylor expansion of 0 in im 1.676 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.676 * [approximate]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in (re im) around 0 1.676 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 1.676 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1.677 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 1.677 * [taylor]: Taking taylor expansion of 1 in im 1.677 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.677 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.677 * [taylor]: Taking taylor expansion of re in im 1.677 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.677 * [taylor]: Taking taylor expansion of (* re re) in im 1.677 * [taylor]: Taking taylor expansion of re in im 1.677 * [taylor]: Taking taylor expansion of re in im 1.677 * [taylor]: Taking taylor expansion of (* im im) in im 1.677 * [taylor]: Taking taylor expansion of im in im 1.677 * [taylor]: Taking taylor expansion of im in im 1.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.678 * [taylor]: Taking taylor expansion of 2.0 in im 1.681 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.681 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1.681 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.681 * [taylor]: Taking taylor expansion of 1 in re 1.681 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.681 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.681 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.681 * [taylor]: Taking taylor expansion of re in re 1.681 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.681 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.681 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.681 * [taylor]: Taking taylor expansion of (* re re) in re 1.681 * [taylor]: Taking taylor expansion of re in re 1.681 * [taylor]: Taking taylor expansion of re in re 1.681 * [taylor]: Taking taylor expansion of (* im im) in re 1.682 * [taylor]: Taking taylor expansion of im in re 1.682 * [taylor]: Taking taylor expansion of im in re 1.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.683 * [taylor]: Taking taylor expansion of 2.0 in re 1.684 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.685 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1.685 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 1.685 * [taylor]: Taking taylor expansion of 1 in re 1.685 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.685 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.685 * [taylor]: Taking taylor expansion of re in re 1.685 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.685 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.685 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.685 * [taylor]: Taking taylor expansion of (* re re) in re 1.685 * [taylor]: Taking taylor expansion of re in re 1.685 * [taylor]: Taking taylor expansion of re in re 1.685 * [taylor]: Taking taylor expansion of (* im im) in re 1.685 * [taylor]: Taking taylor expansion of im in re 1.685 * [taylor]: Taking taylor expansion of im in re 1.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.686 * [taylor]: Taking taylor expansion of 2.0 in re 1.688 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 2.0) (sqrt im)) 1)) in im 1.688 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (sqrt im)) 1) in im 1.688 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.688 * [taylor]: Taking taylor expansion of 2.0 in im 1.689 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.689 * [taylor]: Taking taylor expansion of im in im 1.690 * [taylor]: Taking taylor expansion of 1 in im 1.692 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) (sqrt (/ 1 im)))) in im 1.692 * [taylor]: Taking taylor expansion of 1/2 in im 1.693 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) (sqrt (/ 1 im))) in im 1.693 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) in im 1.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.693 * [taylor]: Taking taylor expansion of 2.0 in im 1.693 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (sqrt im)) 1) in im 1.693 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.693 * [taylor]: Taking taylor expansion of 2.0 in im 1.694 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.694 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of 1 in im 1.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.702 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.702 * [taylor]: Taking taylor expansion of im in im 1.729 * [taylor]: Taking taylor expansion of (* 1/2 (- (* 1/4 (* (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) (sqrt (/ 1 (pow im 3))))) (* 1/4 (/ (pow (sqrt 2.0) 2) (* im (pow (+ (* (sqrt 2.0) (sqrt im)) 1) 2)))))) in im 1.729 * [taylor]: Taking taylor expansion of 1/2 in im 1.729 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) (sqrt (/ 1 (pow im 3))))) (* 1/4 (/ (pow (sqrt 2.0) 2) (* im (pow (+ (* (sqrt 2.0) (sqrt im)) 1) 2))))) in im 1.729 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) (sqrt (/ 1 (pow im 3))))) in im 1.729 * [taylor]: Taking taylor expansion of 1/4 in im 1.729 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) (sqrt (/ 1 (pow im 3)))) in im 1.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (* (sqrt 2.0) (sqrt im)) 1)) in im 1.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.729 * [taylor]: Taking taylor expansion of 2.0 in im 1.730 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (sqrt im)) 1) in im 1.730 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.730 * [taylor]: Taking taylor expansion of 2.0 in im 1.731 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.731 * [taylor]: Taking taylor expansion of im in im 1.732 * [taylor]: Taking taylor expansion of 1 in im 1.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.733 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.733 * [taylor]: Taking taylor expansion of im in im 1.735 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow (sqrt 2.0) 2) (* im (pow (+ (* (sqrt 2.0) (sqrt im)) 1) 2)))) in im 1.735 * [taylor]: Taking taylor expansion of 1/4 in im 1.735 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (* im (pow (+ (* (sqrt 2.0) (sqrt im)) 1) 2))) in im 1.735 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.735 * [taylor]: Taking taylor expansion of 2.0 in im 1.735 * [taylor]: Taking taylor expansion of (* im (pow (+ (* (sqrt 2.0) (sqrt im)) 1) 2)) in im 1.735 * [taylor]: Taking taylor expansion of im in im 1.735 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 2.0) (sqrt im)) 1) 2) in im 1.735 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (sqrt im)) 1) in im 1.735 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.735 * [taylor]: Taking taylor expansion of 2.0 in im 1.736 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.736 * [taylor]: Taking taylor expansion of im in im 1.737 * [taylor]: Taking taylor expansion of 1 in im 1.856 * [approximate]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in (re im) around 0 1.856 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 1.856 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1.856 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 1.856 * [taylor]: Taking taylor expansion of 1 in im 1.856 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.857 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.857 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.868 * [taylor]: Taking taylor expansion of 2.0 in im 1.873 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.874 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1.874 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.874 * [taylor]: Taking taylor expansion of 1 in re 1.874 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.874 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.874 * [taylor]: Taking taylor expansion of re in re 1.874 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.874 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.874 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.874 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.874 * [taylor]: Taking taylor expansion of re in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.874 * [taylor]: Taking taylor expansion of re in re 1.875 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.875 * [taylor]: Taking taylor expansion of im in re 1.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.875 * [taylor]: Taking taylor expansion of im in re 1.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.879 * [taylor]: Taking taylor expansion of 2.0 in re 1.884 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.884 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1.884 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 1.884 * [taylor]: Taking taylor expansion of 1 in re 1.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.884 * [taylor]: Taking taylor expansion of re in re 1.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.884 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.884 * [taylor]: Taking taylor expansion of re in re 1.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.885 * [taylor]: Taking taylor expansion of re in re 1.885 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.885 * [taylor]: Taking taylor expansion of im in re 1.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.885 * [taylor]: Taking taylor expansion of im in re 1.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.889 * [taylor]: Taking taylor expansion of 2.0 in re 1.894 * [taylor]: Taking taylor expansion of (log (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.894 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.895 * [taylor]: Taking taylor expansion of 1 in im 1.895 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.895 * [taylor]: Taking taylor expansion of +nan.0 in im 1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.895 * [taylor]: Taking taylor expansion of 2.0 in im 1.915 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) in im 1.915 * [taylor]: Taking taylor expansion of +nan.0 in im 1.915 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.915 * [taylor]: Taking taylor expansion of 2.0 in im 1.916 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.916 * [taylor]: Taking taylor expansion of 1 in im 1.916 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.916 * [taylor]: Taking taylor expansion of +nan.0 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 1.951 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)))))))) in im 1.951 * [taylor]: Taking taylor expansion of -1/2 in im 1.951 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))))))) in im 1.951 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) in im 1.951 * [taylor]: Taking taylor expansion of +nan.0 in im 1.951 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.951 * [taylor]: Taking taylor expansion of 2.0 in im 1.952 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.952 * [taylor]: Taking taylor expansion of 1 in im 1.952 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.952 * [taylor]: Taking taylor expansion of +nan.0 in im 1.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.952 * [taylor]: Taking taylor expansion of 2.0 in im 1.957 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)))))) in im 1.957 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))))) in im 1.957 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 1.957 * [taylor]: Taking taylor expansion of +nan.0 in im 1.957 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 1.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.957 * [taylor]: Taking taylor expansion of 2.0 in im 1.958 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.958 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.958 * [taylor]: Taking taylor expansion of 1 in im 1.958 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.958 * [taylor]: Taking taylor expansion of +nan.0 in im 1.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.958 * [taylor]: Taking taylor expansion of 2.0 in im 1.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)))) in im 1.965 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 1.965 * [taylor]: Taking taylor expansion of +nan.0 in im 1.965 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 1.965 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.965 * [taylor]: Taking taylor expansion of 2.0 in im 1.965 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 1.965 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 1.965 * [taylor]: Taking taylor expansion of 1 in im 1.965 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.965 * [taylor]: Taking taylor expansion of +nan.0 in im 1.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.965 * [taylor]: Taking taylor expansion of 2.0 in im 2.065 * [approximate]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in (re im) around 0 2.065 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.065 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 2.065 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.065 * [taylor]: Taking taylor expansion of 1 in im 2.065 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.065 * [taylor]: Taking taylor expansion of 2.0 in im 2.066 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.066 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.066 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.066 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.066 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.066 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.066 * [taylor]: Taking taylor expansion of -1 in im 2.066 * [taylor]: Taking taylor expansion of re in im 2.066 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.066 * [taylor]: Taking taylor expansion of -1 in im 2.066 * [taylor]: Taking taylor expansion of re in im 2.066 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.066 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.066 * [taylor]: Taking taylor expansion of -1 in im 2.066 * [taylor]: Taking taylor expansion of im in im 2.066 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.067 * [taylor]: Taking taylor expansion of -1 in im 2.067 * [taylor]: Taking taylor expansion of im in im 2.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.069 * [taylor]: Taking taylor expansion of re in im 2.075 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.075 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 2.075 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.075 * [taylor]: Taking taylor expansion of 1 in re 2.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.075 * [taylor]: Taking taylor expansion of 2.0 in re 2.076 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.076 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.076 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.076 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.076 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.076 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.076 * [taylor]: Taking taylor expansion of -1 in re 2.076 * [taylor]: Taking taylor expansion of re in re 2.077 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.077 * [taylor]: Taking taylor expansion of -1 in re 2.077 * [taylor]: Taking taylor expansion of re in re 2.077 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.077 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.077 * [taylor]: Taking taylor expansion of -1 in re 2.077 * [taylor]: Taking taylor expansion of im in re 2.077 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.077 * [taylor]: Taking taylor expansion of -1 in re 2.077 * [taylor]: Taking taylor expansion of im in re 2.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.086 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.086 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 2.086 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.086 * [taylor]: Taking taylor expansion of 1 in re 2.086 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.086 * [taylor]: Taking taylor expansion of 2.0 in re 2.087 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.087 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.087 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.087 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.087 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.087 * [taylor]: Taking taylor expansion of -1 in re 2.087 * [taylor]: Taking taylor expansion of re in re 2.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.087 * [taylor]: Taking taylor expansion of -1 in re 2.087 * [taylor]: Taking taylor expansion of re in re 2.087 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.087 * [taylor]: Taking taylor expansion of -1 in re 2.087 * [taylor]: Taking taylor expansion of im in re 2.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.088 * [taylor]: Taking taylor expansion of -1 in re 2.088 * [taylor]: Taking taylor expansion of im in re 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.090 * [taylor]: Taking taylor expansion of re in re 2.096 * [taylor]: Taking taylor expansion of 0 in im 2.098 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.098 * [taylor]: Taking taylor expansion of +nan.0 in im 2.098 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.098 * [taylor]: Taking taylor expansion of 2.0 in im 2.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.099 * [taylor]: Taking taylor expansion of im in im 2.118 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) in im 2.118 * [taylor]: Taking taylor expansion of -1/2 in im 2.118 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) in im 2.118 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.118 * [taylor]: Taking taylor expansion of +nan.0 in im 2.118 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.118 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.118 * [taylor]: Taking taylor expansion of 2.0 in im 2.118 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.121 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.121 * [taylor]: Taking taylor expansion of +nan.0 in im 2.121 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.121 * [taylor]: Taking taylor expansion of 2.0 in im 2.122 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.122 * [taylor]: Taking taylor expansion of im in im 2.157 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 2.157 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.157 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.157 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.157 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.157 * [taylor]: Taking taylor expansion of (* re re) in im 2.157 * [taylor]: Taking taylor expansion of re in im 2.157 * [taylor]: Taking taylor expansion of re in im 2.157 * [taylor]: Taking taylor expansion of (* im im) in im 2.157 * [taylor]: Taking taylor expansion of im in im 2.157 * [taylor]: Taking taylor expansion of im in im 2.159 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.159 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.159 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.159 * [taylor]: Taking taylor expansion of (* re re) in re 2.159 * [taylor]: Taking taylor expansion of re in re 2.159 * [taylor]: Taking taylor expansion of re in re 2.159 * [taylor]: Taking taylor expansion of (* im im) in re 2.159 * [taylor]: Taking taylor expansion of im in re 2.159 * [taylor]: Taking taylor expansion of im in re 2.160 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.160 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.160 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.160 * [taylor]: Taking taylor expansion of (* re re) in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.160 * [taylor]: Taking taylor expansion of (* im im) in re 2.160 * [taylor]: Taking taylor expansion of im in re 2.160 * [taylor]: Taking taylor expansion of im in re 2.161 * [taylor]: Taking taylor expansion of im in im 2.161 * [taylor]: Taking taylor expansion of 0 in im 2.163 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.163 * [taylor]: Taking taylor expansion of 1/2 in im 2.163 * [taylor]: Taking taylor expansion of im in im 2.165 * [taylor]: Taking taylor expansion of 0 in im 2.165 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.165 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.166 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.166 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.166 * [taylor]: Taking taylor expansion of re in im 2.166 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.166 * [taylor]: Taking taylor expansion of re in im 2.166 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.166 * [taylor]: Taking taylor expansion of im in im 2.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.166 * [taylor]: Taking taylor expansion of im in im 2.169 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.169 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.169 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.172 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.172 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.172 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.173 * [taylor]: Taking taylor expansion of im in re 2.175 * [taylor]: Taking taylor expansion of 1 in im 2.175 * [taylor]: Taking taylor expansion of 0 in im 2.178 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.178 * [taylor]: Taking taylor expansion of 1/2 in im 2.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.178 * [taylor]: Taking taylor expansion of im in im 2.181 * [taylor]: Taking taylor expansion of 0 in im 2.182 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.182 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.183 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.183 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.183 * [taylor]: Taking taylor expansion of -1 in im 2.183 * [taylor]: Taking taylor expansion of re in im 2.183 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.183 * [taylor]: Taking taylor expansion of -1 in im 2.183 * [taylor]: Taking taylor expansion of re in im 2.183 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.183 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.183 * [taylor]: Taking taylor expansion of -1 in im 2.183 * [taylor]: Taking taylor expansion of im in im 2.183 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.183 * [taylor]: Taking taylor expansion of -1 in im 2.183 * [taylor]: Taking taylor expansion of im in im 2.186 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.186 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.186 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.186 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.186 * [taylor]: Taking taylor expansion of -1 in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.186 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.186 * [taylor]: Taking taylor expansion of -1 in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.187 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.187 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.187 * [taylor]: Taking taylor expansion of -1 in re 2.187 * [taylor]: Taking taylor expansion of im in re 2.187 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.187 * [taylor]: Taking taylor expansion of -1 in re 2.187 * [taylor]: Taking taylor expansion of im in re 2.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 2.190 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of im in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.190 * [taylor]: Taking taylor expansion of im in re 2.199 * [taylor]: Taking taylor expansion of 1 in im 2.199 * [taylor]: Taking taylor expansion of 0 in im 2.202 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.202 * [taylor]: Taking taylor expansion of 1/2 in im 2.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.202 * [taylor]: Taking taylor expansion of im in im 2.209 * [taylor]: Taking taylor expansion of 0 in im 2.210 * * * [progress]: simplifying candidates 2.211 * [simplify]: Simplifying using # : (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (* (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (+ 1 (sqrt (* 2.0 (+ (hypot re im) re)))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (log1p (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (log (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (* (cbrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (* (* (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (* +nan.0 (sqrt 2.0))))))))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) re))))))))))) (- (log (- 1 (* +nan.0 (sqrt 2.0)))) (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* re (- 1 (* +nan.0 (sqrt 2.0)))))) (- (* +nan.0 (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2))))))))) 0 im re (* -1 re) 2.215 * * [simplify]: iteration 0 : 326 enodes (cost 377 ) 2.221 * * [simplify]: iteration 1 : 1099 enodes (cost 327 ) 2.242 * * [simplify]: iteration 2 : 5002 enodes (cost 305 ) 2.245 * [simplify]: Simplified to: (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (+ 1 (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (* 2.0 (+ (hypot re im) re))) (log1p (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (log (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (* (cbrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (pow (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) 3) (sqrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (sqrt (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (+ (+ (* (- (/ +nan.0 (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (/ 2.0 (pow re 2))) (* (/ +nan.0 (pow re 2)) (- (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (/ 2.0 (- 1 (* +nan.0 (sqrt 2.0))))))) (* +nan.0 (- (/ (sqrt 2.0) re) (- (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2))) (sqrt 2.0))))) 0 (+ re im) (* 2 re) 0 (+ (+ (- (* +nan.0 (* (pow (sqrt 2.0) 3) (pow re 2)))) (* (* +nan.0 (sqrt 2.0)) (- (pow re 2) im))) (* +nan.0 (- (* (* 2.0 re) re) (* (sqrt 2.0) re)))) (- (log (- 1 (* +nan.0 (sqrt 2.0)))) (- (* (/ +nan.0 (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (/ 2.0 (pow re 2))) (* (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) (- (/ +nan.0 re) (/ +nan.0 (pow re 2)))))) 0 im re (* -1 re) 2.245 * * * [progress]: adding candidates to table 2.415 * * [progress]: iteration 4 / 4 2.415 * * * [progress]: picking best candidate 2.434 * * * * [pick]: Picked # 2.435 * * * [progress]: localizing error 2.456 * * * [progress]: generating rewritten candidates 2.456 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.457 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 2.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1 1 2) 2.462 * * * [progress]: generating series expansions 2.462 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.462 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in (re im) around 0 2.462 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 2.463 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 2.463 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 2.463 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 2.463 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 2.463 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 2.463 * [taylor]: Taking taylor expansion of 1 in im 2.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.463 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.463 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.463 * [taylor]: Taking taylor expansion of re in im 2.463 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.463 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.463 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.463 * [taylor]: Taking taylor expansion of (* re re) in im 2.463 * [taylor]: Taking taylor expansion of re in im 2.463 * [taylor]: Taking taylor expansion of re in im 2.463 * [taylor]: Taking taylor expansion of (* im im) in im 2.463 * [taylor]: Taking taylor expansion of im in im 2.463 * [taylor]: Taking taylor expansion of im in im 2.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.465 * [taylor]: Taking taylor expansion of 2.0 in im 2.469 * [taylor]: Taking taylor expansion of 1 in im 2.469 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 2.469 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 2.469 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 2.469 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 2.469 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 2.469 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 2.469 * [taylor]: Taking taylor expansion of 1 in re 2.469 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.469 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.469 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.469 * [taylor]: Taking taylor expansion of re in re 2.469 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.469 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.469 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.469 * [taylor]: Taking taylor expansion of (* re re) in re 2.469 * [taylor]: Taking taylor expansion of re in re 2.469 * [taylor]: Taking taylor expansion of re in re 2.469 * [taylor]: Taking taylor expansion of (* im im) in re 2.469 * [taylor]: Taking taylor expansion of im in re 2.469 * [taylor]: Taking taylor expansion of im in re 2.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.471 * [taylor]: Taking taylor expansion of 2.0 in re 2.473 * [taylor]: Taking taylor expansion of 1 in re 2.473 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 2.473 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 2.473 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 2.473 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 2.473 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 2.473 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 2.473 * [taylor]: Taking taylor expansion of 1 in re 2.473 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.473 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.473 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.473 * [taylor]: Taking taylor expansion of re in re 2.473 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.473 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.473 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.473 * [taylor]: Taking taylor expansion of (* re re) in re 2.474 * [taylor]: Taking taylor expansion of re in re 2.474 * [taylor]: Taking taylor expansion of re in re 2.474 * [taylor]: Taking taylor expansion of (* im im) in re 2.474 * [taylor]: Taking taylor expansion of im in re 2.474 * [taylor]: Taking taylor expansion of im in re 2.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.475 * [taylor]: Taking taylor expansion of 2.0 in re 2.477 * [taylor]: Taking taylor expansion of 1 in re 2.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.477 * [taylor]: Taking taylor expansion of 2.0 in im 2.478 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.478 * [taylor]: Taking taylor expansion of im in im 2.483 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.483 * [taylor]: Taking taylor expansion of 1/2 in im 2.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.483 * [taylor]: Taking taylor expansion of 2.0 in im 2.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.483 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.483 * [taylor]: Taking taylor expansion of im in im 2.500 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.500 * [taylor]: Taking taylor expansion of 1/8 in im 2.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.501 * [taylor]: Taking taylor expansion of 2.0 in im 2.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.501 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.501 * [taylor]: Taking taylor expansion of im in im 2.516 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in (re im) around 0 2.516 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 2.516 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 2.516 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 2.516 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 2.517 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 2.517 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 2.517 * [taylor]: Taking taylor expansion of 1 in im 2.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 2.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.517 * [taylor]: Taking taylor expansion of re in im 2.517 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.517 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.517 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.517 * [taylor]: Taking taylor expansion of re in im 2.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.517 * [taylor]: Taking taylor expansion of re in im 2.517 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.517 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.517 * [taylor]: Taking taylor expansion of im in im 2.517 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.517 * [taylor]: Taking taylor expansion of im in im 2.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.522 * [taylor]: Taking taylor expansion of 2.0 in im 2.529 * [taylor]: Taking taylor expansion of 1 in im 2.529 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 2.529 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 2.529 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 2.529 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 2.529 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 2.529 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 2.529 * [taylor]: Taking taylor expansion of 1 in re 2.529 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.530 * [taylor]: Taking taylor expansion of re in re 2.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.530 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.530 * [taylor]: Taking taylor expansion of re in re 2.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.530 * [taylor]: Taking taylor expansion of re in re 2.531 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.531 * [taylor]: Taking taylor expansion of im in re 2.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.531 * [taylor]: Taking taylor expansion of im in re 2.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.541 * [taylor]: Taking taylor expansion of 2.0 in re 2.548 * [taylor]: Taking taylor expansion of 1 in re 2.548 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 2.548 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 2.548 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 2.548 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 2.548 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 2.548 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 2.548 * [taylor]: Taking taylor expansion of 1 in re 2.548 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.548 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.549 * [taylor]: Taking taylor expansion of re in re 2.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.549 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.549 * [taylor]: Taking taylor expansion of re in re 2.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.549 * [taylor]: Taking taylor expansion of re in re 2.549 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.549 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.550 * [taylor]: Taking taylor expansion of im in re 2.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.550 * [taylor]: Taking taylor expansion of im in re 2.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.553 * [taylor]: Taking taylor expansion of 2.0 in re 2.560 * [taylor]: Taking taylor expansion of 1 in re 2.562 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.562 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.562 * [taylor]: Taking taylor expansion of +nan.0 in im 2.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.562 * [taylor]: Taking taylor expansion of 2.0 in im 2.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.588 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.589 * [taylor]: Taking taylor expansion of +nan.0 in im 2.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.589 * [taylor]: Taking taylor expansion of 2.0 in im 2.639 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))))) in im 2.639 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))))) in im 2.639 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 2.639 * [taylor]: Taking taylor expansion of +nan.0 in im 2.639 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 2.639 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.639 * [taylor]: Taking taylor expansion of 2.0 in im 2.640 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 2.640 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 2.640 * [taylor]: Taking taylor expansion of 1 in im 2.640 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.640 * [taylor]: Taking taylor expansion of +nan.0 in im 2.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.640 * [taylor]: Taking taylor expansion of 2.0 in im 2.649 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))) in im 2.649 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))) in im 2.649 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 2.649 * [taylor]: Taking taylor expansion of +nan.0 in im 2.649 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 2.649 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.649 * [taylor]: Taking taylor expansion of 2.0 in im 2.650 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 2.650 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 2.650 * [taylor]: Taking taylor expansion of 1 in im 2.650 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.650 * [taylor]: Taking taylor expansion of +nan.0 in im 2.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.650 * [taylor]: Taking taylor expansion of 2.0 in im 2.660 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))) in im 2.660 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))) in im 2.660 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) in im 2.660 * [taylor]: Taking taylor expansion of +nan.0 in im 2.661 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) in im 2.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.661 * [taylor]: Taking taylor expansion of 2.0 in im 2.661 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 2.661 * [taylor]: Taking taylor expansion of 1 in im 2.661 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.661 * [taylor]: Taking taylor expansion of +nan.0 in im 2.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.661 * [taylor]: Taking taylor expansion of 2.0 in im 2.666 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))) in im 2.666 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))) in im 2.666 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 2.666 * [taylor]: Taking taylor expansion of +nan.0 in im 2.666 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 2.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.666 * [taylor]: Taking taylor expansion of 2.0 in im 2.667 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 2.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.667 * [taylor]: Taking taylor expansion of im in im 2.667 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 2.667 * [taylor]: Taking taylor expansion of 1 in im 2.667 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.667 * [taylor]: Taking taylor expansion of +nan.0 in im 2.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.667 * [taylor]: Taking taylor expansion of 2.0 in im 2.674 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))) in im 2.674 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))) in im 2.674 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 2.674 * [taylor]: Taking taylor expansion of +nan.0 in im 2.674 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 2.674 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.674 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.674 * [taylor]: Taking taylor expansion of 2.0 in im 2.675 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 2.675 * [taylor]: Taking taylor expansion of 1 in im 2.675 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.675 * [taylor]: Taking taylor expansion of +nan.0 in im 2.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.675 * [taylor]: Taking taylor expansion of 2.0 in im 2.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))) in im 2.682 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 2.682 * [taylor]: Taking taylor expansion of +nan.0 in im 2.682 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 2.682 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.682 * [taylor]: Taking taylor expansion of 2.0 in im 2.682 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 2.683 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.683 * [taylor]: Taking taylor expansion of im in im 2.683 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 2.683 * [taylor]: Taking taylor expansion of 1 in im 2.683 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.683 * [taylor]: Taking taylor expansion of +nan.0 in im 2.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.683 * [taylor]: Taking taylor expansion of 2.0 in im 2.901 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in (re im) around 0 2.901 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 2.901 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 2.901 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 2.901 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.901 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 2.902 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.902 * [taylor]: Taking taylor expansion of 1 in im 2.902 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.902 * [taylor]: Taking taylor expansion of 2.0 in im 2.902 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.902 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.902 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.902 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.902 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.902 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.902 * [taylor]: Taking taylor expansion of -1 in im 2.903 * [taylor]: Taking taylor expansion of re in im 2.903 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.903 * [taylor]: Taking taylor expansion of -1 in im 2.903 * [taylor]: Taking taylor expansion of re in im 2.903 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.903 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.903 * [taylor]: Taking taylor expansion of -1 in im 2.903 * [taylor]: Taking taylor expansion of im in im 2.903 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.903 * [taylor]: Taking taylor expansion of -1 in im 2.903 * [taylor]: Taking taylor expansion of im in im 2.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.906 * [taylor]: Taking taylor expansion of re in im 2.914 * [taylor]: Taking taylor expansion of 1 in im 2.914 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 2.914 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 2.914 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 2.914 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.914 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 2.914 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.914 * [taylor]: Taking taylor expansion of 1 in re 2.914 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.914 * [taylor]: Taking taylor expansion of 2.0 in re 2.915 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.915 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.915 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.915 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.915 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.915 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.915 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.915 * [taylor]: Taking taylor expansion of -1 in re 2.915 * [taylor]: Taking taylor expansion of re in re 2.915 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.915 * [taylor]: Taking taylor expansion of -1 in re 2.915 * [taylor]: Taking taylor expansion of re in re 2.916 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.916 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.916 * [taylor]: Taking taylor expansion of -1 in re 2.916 * [taylor]: Taking taylor expansion of im in re 2.916 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.916 * [taylor]: Taking taylor expansion of -1 in re 2.916 * [taylor]: Taking taylor expansion of im in re 2.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.918 * [taylor]: Taking taylor expansion of re in re 2.926 * [taylor]: Taking taylor expansion of 1 in re 2.926 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 2.926 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 2.926 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 2.927 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.927 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 2.927 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.927 * [taylor]: Taking taylor expansion of 1 in re 2.927 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.927 * [taylor]: Taking taylor expansion of 2.0 in re 2.927 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.927 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.927 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.928 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.928 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.928 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.928 * [taylor]: Taking taylor expansion of -1 in re 2.928 * [taylor]: Taking taylor expansion of re in re 2.928 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.928 * [taylor]: Taking taylor expansion of -1 in re 2.928 * [taylor]: Taking taylor expansion of re in re 2.928 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.928 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.928 * [taylor]: Taking taylor expansion of -1 in re 2.928 * [taylor]: Taking taylor expansion of im in re 2.928 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.928 * [taylor]: Taking taylor expansion of -1 in re 2.928 * [taylor]: Taking taylor expansion of im in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.931 * [taylor]: Taking taylor expansion of re in re 2.939 * [taylor]: Taking taylor expansion of 1 in re 2.940 * [taylor]: Taking taylor expansion of 0 in im 2.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.941 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.941 * [taylor]: Taking taylor expansion of +nan.0 in im 2.941 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.941 * [taylor]: Taking taylor expansion of 2.0 in im 2.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.941 * [taylor]: Taking taylor expansion of im in im 2.963 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) in im 2.963 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) in im 2.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.963 * [taylor]: Taking taylor expansion of +nan.0 in im 2.963 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.963 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.963 * [taylor]: Taking taylor expansion of 2.0 in im 2.963 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.963 * [taylor]: Taking taylor expansion of im in im 2.966 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.966 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.966 * [taylor]: Taking taylor expansion of +nan.0 in im 2.966 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.966 * [taylor]: Taking taylor expansion of 2.0 in im 2.966 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.966 * [taylor]: Taking taylor expansion of im in im 2.991 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 2.991 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in (re im) around 0 2.991 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 2.991 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 2.991 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 2.991 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 2.992 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 2.992 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 2.992 * [taylor]: Taking taylor expansion of 1 in im 2.992 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.992 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.992 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.992 * [taylor]: Taking taylor expansion of re in im 2.992 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.992 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.992 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.992 * [taylor]: Taking taylor expansion of (* re re) in im 2.992 * [taylor]: Taking taylor expansion of re in im 2.992 * [taylor]: Taking taylor expansion of re in im 2.992 * [taylor]: Taking taylor expansion of (* im im) in im 2.992 * [taylor]: Taking taylor expansion of im in im 2.992 * [taylor]: Taking taylor expansion of im in im 2.993 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.993 * [taylor]: Taking taylor expansion of 2.0 in im 2.997 * [taylor]: Taking taylor expansion of 1 in im 2.997 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 2.997 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 2.997 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 2.997 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 2.997 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 2.997 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 2.997 * [taylor]: Taking taylor expansion of 1 in re 2.997 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.997 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.997 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.997 * [taylor]: Taking taylor expansion of re in re 2.997 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.998 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.998 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.998 * [taylor]: Taking taylor expansion of (* re re) in re 2.998 * [taylor]: Taking taylor expansion of re in re 2.998 * [taylor]: Taking taylor expansion of re in re 2.998 * [taylor]: Taking taylor expansion of (* im im) in re 2.998 * [taylor]: Taking taylor expansion of im in re 2.998 * [taylor]: Taking taylor expansion of im in re 2.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.999 * [taylor]: Taking taylor expansion of 2.0 in re 3.001 * [taylor]: Taking taylor expansion of 1 in re 3.001 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 3.001 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 3.001 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 3.001 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 3.001 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 3.001 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 3.001 * [taylor]: Taking taylor expansion of 1 in re 3.001 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 3.001 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 3.001 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.001 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.001 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.001 * [taylor]: Taking taylor expansion of (* re re) in re 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [taylor]: Taking taylor expansion of (* im im) in re 3.001 * [taylor]: Taking taylor expansion of im in re 3.001 * [taylor]: Taking taylor expansion of im in re 3.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.003 * [taylor]: Taking taylor expansion of 2.0 in re 3.005 * [taylor]: Taking taylor expansion of 1 in re 3.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.005 * [taylor]: Taking taylor expansion of 2.0 in im 3.006 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.006 * [taylor]: Taking taylor expansion of im in im 3.010 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.010 * [taylor]: Taking taylor expansion of 1/2 in im 3.010 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.010 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.011 * [taylor]: Taking taylor expansion of 2.0 in im 3.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.011 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.011 * [taylor]: Taking taylor expansion of im in im 3.035 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 3.035 * [taylor]: Taking taylor expansion of 1/8 in im 3.035 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 3.035 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.035 * [taylor]: Taking taylor expansion of 2.0 in im 3.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.036 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.036 * [taylor]: Taking taylor expansion of im in im 3.050 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in (re im) around 0 3.050 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 3.050 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 3.050 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 3.050 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 3.051 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 3.051 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 3.051 * [taylor]: Taking taylor expansion of 1 in im 3.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 3.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.051 * [taylor]: Taking taylor expansion of re in im 3.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.051 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.051 * [taylor]: Taking taylor expansion of re in im 3.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.051 * [taylor]: Taking taylor expansion of re in im 3.051 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.051 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.051 * [taylor]: Taking taylor expansion of im in im 3.051 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.051 * [taylor]: Taking taylor expansion of im in im 3.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.055 * [taylor]: Taking taylor expansion of 2.0 in im 3.062 * [taylor]: Taking taylor expansion of 1 in im 3.062 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.062 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 3.062 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.062 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.062 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 3.062 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.062 * [taylor]: Taking taylor expansion of 1 in re 3.062 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 3.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.062 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.062 * [taylor]: Taking taylor expansion of re in re 3.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.063 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.063 * [taylor]: Taking taylor expansion of re in re 3.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.063 * [taylor]: Taking taylor expansion of re in re 3.063 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.063 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.063 * [taylor]: Taking taylor expansion of im in re 3.063 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.063 * [taylor]: Taking taylor expansion of im in re 3.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.067 * [taylor]: Taking taylor expansion of 2.0 in re 3.074 * [taylor]: Taking taylor expansion of 1 in re 3.074 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.074 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 3.074 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.074 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.074 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 3.074 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.074 * [taylor]: Taking taylor expansion of 1 in re 3.074 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.074 * [taylor]: Taking taylor expansion of re in re 3.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.075 * [taylor]: Taking taylor expansion of re in re 3.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.075 * [taylor]: Taking taylor expansion of re in re 3.075 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.075 * [taylor]: Taking taylor expansion of im in re 3.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.075 * [taylor]: Taking taylor expansion of im in re 3.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.079 * [taylor]: Taking taylor expansion of 2.0 in re 3.086 * [taylor]: Taking taylor expansion of 1 in re 3.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.088 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.088 * [taylor]: Taking taylor expansion of +nan.0 in im 3.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.088 * [taylor]: Taking taylor expansion of 2.0 in im 3.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.121 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.121 * [taylor]: Taking taylor expansion of +nan.0 in im 3.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.121 * [taylor]: Taking taylor expansion of 2.0 in im 3.166 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))))) in im 3.166 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))))) in im 3.166 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 3.166 * [taylor]: Taking taylor expansion of +nan.0 in im 3.166 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 3.166 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.166 * [taylor]: Taking taylor expansion of 2.0 in im 3.167 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 3.167 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.167 * [taylor]: Taking taylor expansion of 1 in im 3.167 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.167 * [taylor]: Taking taylor expansion of +nan.0 in im 3.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.167 * [taylor]: Taking taylor expansion of 2.0 in im 3.176 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))) in im 3.176 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))) in im 3.176 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 3.176 * [taylor]: Taking taylor expansion of +nan.0 in im 3.176 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 3.176 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 3.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.177 * [taylor]: Taking taylor expansion of 2.0 in im 3.177 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 3.177 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.177 * [taylor]: Taking taylor expansion of 1 in im 3.177 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.177 * [taylor]: Taking taylor expansion of +nan.0 in im 3.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.177 * [taylor]: Taking taylor expansion of 2.0 in im 3.188 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))) in im 3.188 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))) in im 3.188 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.188 * [taylor]: Taking taylor expansion of +nan.0 in im 3.188 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.188 * [taylor]: Taking taylor expansion of 2.0 in im 3.189 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.189 * [taylor]: Taking taylor expansion of 1 in im 3.189 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.189 * [taylor]: Taking taylor expansion of +nan.0 in im 3.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.189 * [taylor]: Taking taylor expansion of 2.0 in im 3.194 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))) in im 3.194 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))) in im 3.194 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 3.194 * [taylor]: Taking taylor expansion of +nan.0 in im 3.194 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.194 * [taylor]: Taking taylor expansion of 2.0 in im 3.195 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.195 * [taylor]: Taking taylor expansion of im in im 3.195 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.195 * [taylor]: Taking taylor expansion of 1 in im 3.195 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.195 * [taylor]: Taking taylor expansion of +nan.0 in im 3.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.195 * [taylor]: Taking taylor expansion of 2.0 in im 3.209 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))) in im 3.209 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))) in im 3.209 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.209 * [taylor]: Taking taylor expansion of +nan.0 in im 3.209 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.209 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.209 * [taylor]: Taking taylor expansion of 2.0 in im 3.210 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.210 * [taylor]: Taking taylor expansion of 1 in im 3.210 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.210 * [taylor]: Taking taylor expansion of +nan.0 in im 3.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.210 * [taylor]: Taking taylor expansion of 2.0 in im 3.216 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))) in im 3.216 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 3.216 * [taylor]: Taking taylor expansion of +nan.0 in im 3.216 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.216 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.216 * [taylor]: Taking taylor expansion of 2.0 in im 3.217 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.217 * [taylor]: Taking taylor expansion of im in im 3.217 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.217 * [taylor]: Taking taylor expansion of 1 in im 3.217 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.217 * [taylor]: Taking taylor expansion of +nan.0 in im 3.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.217 * [taylor]: Taking taylor expansion of 2.0 in im 3.429 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in (re im) around 0 3.429 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 3.430 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 3.430 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 3.430 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 3.430 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 3.430 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 3.430 * [taylor]: Taking taylor expansion of 1 in im 3.430 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 3.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.430 * [taylor]: Taking taylor expansion of 2.0 in im 3.430 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.430 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.430 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.431 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.431 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.431 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.431 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.431 * [taylor]: Taking taylor expansion of -1 in im 3.431 * [taylor]: Taking taylor expansion of re in im 3.431 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.431 * [taylor]: Taking taylor expansion of -1 in im 3.431 * [taylor]: Taking taylor expansion of re in im 3.431 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.431 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.431 * [taylor]: Taking taylor expansion of -1 in im 3.431 * [taylor]: Taking taylor expansion of im in im 3.431 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.431 * [taylor]: Taking taylor expansion of -1 in im 3.431 * [taylor]: Taking taylor expansion of im in im 3.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.434 * [taylor]: Taking taylor expansion of re in im 3.449 * [taylor]: Taking taylor expansion of 1 in im 3.450 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.450 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 3.450 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.450 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.450 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 3.450 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.450 * [taylor]: Taking taylor expansion of 1 in re 3.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.450 * [taylor]: Taking taylor expansion of 2.0 in re 3.451 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.451 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.451 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.451 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.451 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.451 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.451 * [taylor]: Taking taylor expansion of -1 in re 3.451 * [taylor]: Taking taylor expansion of re in re 3.451 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.451 * [taylor]: Taking taylor expansion of -1 in re 3.451 * [taylor]: Taking taylor expansion of re in re 3.451 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.451 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.451 * [taylor]: Taking taylor expansion of -1 in re 3.451 * [taylor]: Taking taylor expansion of im in re 3.451 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.451 * [taylor]: Taking taylor expansion of -1 in re 3.451 * [taylor]: Taking taylor expansion of im in re 3.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.454 * [taylor]: Taking taylor expansion of re in re 3.462 * [taylor]: Taking taylor expansion of 1 in re 3.462 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.462 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 3.462 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.462 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.462 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 3.462 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.462 * [taylor]: Taking taylor expansion of 1 in re 3.462 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.462 * [taylor]: Taking taylor expansion of 2.0 in re 3.463 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.463 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.463 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.463 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.463 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.463 * [taylor]: Taking taylor expansion of -1 in re 3.463 * [taylor]: Taking taylor expansion of re in re 3.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.463 * [taylor]: Taking taylor expansion of -1 in re 3.463 * [taylor]: Taking taylor expansion of re in re 3.464 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.464 * [taylor]: Taking taylor expansion of -1 in re 3.464 * [taylor]: Taking taylor expansion of im in re 3.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.464 * [taylor]: Taking taylor expansion of -1 in re 3.464 * [taylor]: Taking taylor expansion of im in re 3.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.466 * [taylor]: Taking taylor expansion of re in re 3.474 * [taylor]: Taking taylor expansion of 1 in re 3.475 * [taylor]: Taking taylor expansion of 0 in im 3.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.476 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.476 * [taylor]: Taking taylor expansion of +nan.0 in im 3.476 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.476 * [taylor]: Taking taylor expansion of 2.0 in im 3.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.477 * [taylor]: Taking taylor expansion of im in im 3.491 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) in im 3.491 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) in im 3.491 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 3.491 * [taylor]: Taking taylor expansion of +nan.0 in im 3.491 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 3.491 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.491 * [taylor]: Taking taylor expansion of 2.0 in im 3.492 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.492 * [taylor]: Taking taylor expansion of im in im 3.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.494 * [taylor]: Taking taylor expansion of +nan.0 in im 3.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.494 * [taylor]: Taking taylor expansion of 2.0 in im 3.495 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.495 * [taylor]: Taking taylor expansion of im in im 3.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 3.520 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in (re im) around 0 3.520 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 3.520 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 3.520 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in im 3.520 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 3.520 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 3.520 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in im 3.520 * [taylor]: Taking taylor expansion of 1 in im 3.520 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 3.520 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 3.520 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 3.520 * [taylor]: Taking taylor expansion of re in im 3.520 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.520 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.520 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.520 * [taylor]: Taking taylor expansion of (* re re) in im 3.520 * [taylor]: Taking taylor expansion of re in im 3.520 * [taylor]: Taking taylor expansion of re in im 3.520 * [taylor]: Taking taylor expansion of (* im im) in im 3.520 * [taylor]: Taking taylor expansion of im in im 3.520 * [taylor]: Taking taylor expansion of im in im 3.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.522 * [taylor]: Taking taylor expansion of 2.0 in im 3.533 * [taylor]: Taking taylor expansion of 1 in im 3.533 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 3.534 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 3.534 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 3.534 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 3.534 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 3.534 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 3.534 * [taylor]: Taking taylor expansion of 1 in re 3.534 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 3.534 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 3.534 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.534 * [taylor]: Taking taylor expansion of re in re 3.534 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.534 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.534 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.534 * [taylor]: Taking taylor expansion of (* re re) in re 3.534 * [taylor]: Taking taylor expansion of re in re 3.534 * [taylor]: Taking taylor expansion of re in re 3.534 * [taylor]: Taking taylor expansion of (* im im) in re 3.534 * [taylor]: Taking taylor expansion of im in re 3.534 * [taylor]: Taking taylor expansion of im in re 3.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.535 * [taylor]: Taking taylor expansion of 2.0 in re 3.537 * [taylor]: Taking taylor expansion of 1 in re 3.537 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 3.537 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 1) 3.537 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) in re 3.537 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 3.537 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 3.537 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) in re 3.537 * [taylor]: Taking taylor expansion of 1 in re 3.537 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 3.538 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 3.538 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.538 * [taylor]: Taking taylor expansion of re in re 3.538 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.538 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.538 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.538 * [taylor]: Taking taylor expansion of (* re re) in re 3.538 * [taylor]: Taking taylor expansion of re in re 3.538 * [taylor]: Taking taylor expansion of re in re 3.538 * [taylor]: Taking taylor expansion of (* im im) in re 3.538 * [taylor]: Taking taylor expansion of im in re 3.538 * [taylor]: Taking taylor expansion of im in re 3.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.539 * [taylor]: Taking taylor expansion of 2.0 in re 3.541 * [taylor]: Taking taylor expansion of 1 in re 3.542 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.542 * [taylor]: Taking taylor expansion of 2.0 in im 3.542 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.542 * [taylor]: Taking taylor expansion of im in im 3.548 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.548 * [taylor]: Taking taylor expansion of 1/2 in im 3.548 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.548 * [taylor]: Taking taylor expansion of 2.0 in im 3.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.548 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.548 * [taylor]: Taking taylor expansion of im in im 3.566 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 3.566 * [taylor]: Taking taylor expansion of 1/8 in im 3.566 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 3.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.566 * [taylor]: Taking taylor expansion of 2.0 in im 3.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.567 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.567 * [taylor]: Taking taylor expansion of im in im 3.582 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in (re im) around 0 3.582 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 3.582 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 3.582 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in im 3.582 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 3.582 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 3.582 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in im 3.582 * [taylor]: Taking taylor expansion of 1 in im 3.582 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 3.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 3.582 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.582 * [taylor]: Taking taylor expansion of re in im 3.582 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.582 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.582 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.582 * [taylor]: Taking taylor expansion of re in im 3.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.582 * [taylor]: Taking taylor expansion of re in im 3.582 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.582 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.582 * [taylor]: Taking taylor expansion of im in im 3.583 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.583 * [taylor]: Taking taylor expansion of im in im 3.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.587 * [taylor]: Taking taylor expansion of 2.0 in im 3.594 * [taylor]: Taking taylor expansion of 1 in im 3.594 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.594 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 3.594 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.594 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.594 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 3.594 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.594 * [taylor]: Taking taylor expansion of 1 in re 3.594 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.594 * [taylor]: Taking taylor expansion of re in re 3.595 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.595 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.595 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.595 * [taylor]: Taking taylor expansion of re in re 3.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.595 * [taylor]: Taking taylor expansion of re in re 3.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.595 * [taylor]: Taking taylor expansion of im in re 3.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.595 * [taylor]: Taking taylor expansion of im in re 3.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.599 * [taylor]: Taking taylor expansion of 2.0 in re 3.606 * [taylor]: Taking taylor expansion of 1 in re 3.607 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.607 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 1) 3.607 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) in re 3.607 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.607 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)))) 3.607 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) in re 3.607 * [taylor]: Taking taylor expansion of 1 in re 3.607 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 3.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.607 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.607 * [taylor]: Taking taylor expansion of re in re 3.607 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.607 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.607 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.607 * [taylor]: Taking taylor expansion of re in re 3.608 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.608 * [taylor]: Taking taylor expansion of re in re 3.608 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.608 * [taylor]: Taking taylor expansion of im in re 3.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.608 * [taylor]: Taking taylor expansion of im in re 3.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.612 * [taylor]: Taking taylor expansion of 2.0 in re 3.627 * [taylor]: Taking taylor expansion of 1 in re 3.628 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.628 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.629 * [taylor]: Taking taylor expansion of +nan.0 in im 3.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.629 * [taylor]: Taking taylor expansion of 2.0 in im 3.655 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.655 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.655 * [taylor]: Taking taylor expansion of +nan.0 in im 3.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.656 * [taylor]: Taking taylor expansion of 2.0 in im 3.708 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))))) in im 3.708 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))))) in im 3.708 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 3.708 * [taylor]: Taking taylor expansion of +nan.0 in im 3.708 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 3.708 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.708 * [taylor]: Taking taylor expansion of 2.0 in im 3.708 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 3.708 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.708 * [taylor]: Taking taylor expansion of 1 in im 3.708 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.708 * [taylor]: Taking taylor expansion of +nan.0 in im 3.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.709 * [taylor]: Taking taylor expansion of 2.0 in im 3.718 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))))) in im 3.718 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))))) in im 3.718 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2))) in im 3.718 * [taylor]: Taking taylor expansion of +nan.0 in im 3.718 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) in im 3.718 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 3.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.718 * [taylor]: Taking taylor expansion of 2.0 in im 3.719 * [taylor]: Taking taylor expansion of (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) in im 3.719 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.719 * [taylor]: Taking taylor expansion of 1 in im 3.719 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.719 * [taylor]: Taking taylor expansion of +nan.0 in im 3.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.719 * [taylor]: Taking taylor expansion of 2.0 in im 3.729 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))))) in im 3.729 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))))) in im 3.729 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.729 * [taylor]: Taking taylor expansion of +nan.0 in im 3.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.729 * [taylor]: Taking taylor expansion of 2.0 in im 3.730 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.730 * [taylor]: Taking taylor expansion of 1 in im 3.730 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.730 * [taylor]: Taking taylor expansion of +nan.0 in im 3.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.730 * [taylor]: Taking taylor expansion of 2.0 in im 3.735 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))))) in im 3.735 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))))) in im 3.735 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 3.735 * [taylor]: Taking taylor expansion of +nan.0 in im 3.735 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.735 * [taylor]: Taking taylor expansion of 2.0 in im 3.736 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.736 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.736 * [taylor]: Taking taylor expansion of im in im 3.736 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.736 * [taylor]: Taking taylor expansion of 1 in im 3.736 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.736 * [taylor]: Taking taylor expansion of +nan.0 in im 3.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.736 * [taylor]: Taking taylor expansion of 2.0 in im 3.743 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))))) in im 3.743 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))))) in im 3.743 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.743 * [taylor]: Taking taylor expansion of +nan.0 in im 3.743 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.743 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.743 * [taylor]: Taking taylor expansion of 2.0 in im 3.744 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.744 * [taylor]: Taking taylor expansion of 1 in im 3.744 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.744 * [taylor]: Taking taylor expansion of +nan.0 in im 3.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.744 * [taylor]: Taking taylor expansion of 2.0 in im 3.750 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))))) in im 3.750 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))))) in im 3.750 * [taylor]: Taking taylor expansion of +nan.0 in im 3.750 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0))))) in im 3.750 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.750 * [taylor]: Taking taylor expansion of 2.0 in im 3.751 * [taylor]: Taking taylor expansion of (* (pow im 2) (- 1 (* +nan.0 (sqrt 2.0)))) in im 3.751 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.751 * [taylor]: Taking taylor expansion of im in im 3.751 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (sqrt 2.0))) in im 3.751 * [taylor]: Taking taylor expansion of 1 in im 3.751 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.751 * [taylor]: Taking taylor expansion of +nan.0 in im 3.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.751 * [taylor]: Taking taylor expansion of 2.0 in im 3.973 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in (re im) around 0 3.973 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 3.973 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 3.973 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 3.973 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 3.973 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 3.973 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 3.973 * [taylor]: Taking taylor expansion of 1 in im 3.973 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 3.973 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.973 * [taylor]: Taking taylor expansion of 2.0 in im 3.974 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.974 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.974 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.974 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.974 * [taylor]: Taking taylor expansion of -1 in im 3.974 * [taylor]: Taking taylor expansion of re in im 3.974 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.974 * [taylor]: Taking taylor expansion of -1 in im 3.974 * [taylor]: Taking taylor expansion of re in im 3.974 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.974 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.974 * [taylor]: Taking taylor expansion of -1 in im 3.974 * [taylor]: Taking taylor expansion of im in im 3.974 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.974 * [taylor]: Taking taylor expansion of -1 in im 3.974 * [taylor]: Taking taylor expansion of im in im 3.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.977 * [taylor]: Taking taylor expansion of re in im 3.985 * [taylor]: Taking taylor expansion of 1 in im 3.986 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.986 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 3.986 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.986 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.986 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 3.986 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.986 * [taylor]: Taking taylor expansion of 1 in re 3.986 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.986 * [taylor]: Taking taylor expansion of 2.0 in re 3.987 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.987 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.987 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.987 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.987 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.987 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.987 * [taylor]: Taking taylor expansion of -1 in re 3.987 * [taylor]: Taking taylor expansion of re in re 3.987 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.987 * [taylor]: Taking taylor expansion of -1 in re 3.987 * [taylor]: Taking taylor expansion of re in re 3.987 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.987 * [taylor]: Taking taylor expansion of -1 in re 3.987 * [taylor]: Taking taylor expansion of im in re 3.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.987 * [taylor]: Taking taylor expansion of -1 in re 3.987 * [taylor]: Taking taylor expansion of im in re 3.990 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.990 * [taylor]: Taking taylor expansion of re in re 3.998 * [taylor]: Taking taylor expansion of 1 in re 3.998 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.998 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 1) 3.998 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 3.998 * [taylor]: Taking taylor expansion of (log1p (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.998 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) 3.998 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.998 * [taylor]: Taking taylor expansion of 1 in re 3.998 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.998 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.998 * [taylor]: Taking taylor expansion of 2.0 in re 3.999 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.999 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.999 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.999 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.999 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.999 * [taylor]: Taking taylor expansion of -1 in re 3.999 * [taylor]: Taking taylor expansion of re in re 4.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.000 * [taylor]: Taking taylor expansion of -1 in re 4.000 * [taylor]: Taking taylor expansion of re in re 4.000 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.000 * [taylor]: Taking taylor expansion of -1 in re 4.000 * [taylor]: Taking taylor expansion of im in re 4.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.000 * [taylor]: Taking taylor expansion of -1 in re 4.000 * [taylor]: Taking taylor expansion of im in re 4.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.003 * [taylor]: Taking taylor expansion of re in re 4.010 * [taylor]: Taking taylor expansion of 1 in re 4.011 * [taylor]: Taking taylor expansion of 0 in im 4.012 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.012 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.012 * [taylor]: Taking taylor expansion of +nan.0 in im 4.012 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.012 * [taylor]: Taking taylor expansion of 2.0 in im 4.013 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.013 * [taylor]: Taking taylor expansion of im in im 4.028 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) in im 4.028 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) in im 4.028 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 4.028 * [taylor]: Taking taylor expansion of +nan.0 in im 4.028 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 4.028 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 4.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.028 * [taylor]: Taking taylor expansion of 2.0 in im 4.029 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.029 * [taylor]: Taking taylor expansion of im in im 4.031 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 4.031 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.031 * [taylor]: Taking taylor expansion of +nan.0 in im 4.031 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.031 * [taylor]: Taking taylor expansion of 2.0 in im 4.032 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.032 * [taylor]: Taking taylor expansion of im in im 4.064 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1 1 2) 4.064 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 4.064 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 4.064 * [taylor]: Taking taylor expansion of re in im 4.064 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.065 * [taylor]: Taking taylor expansion of (* re re) in im 4.065 * [taylor]: Taking taylor expansion of re in im 4.065 * [taylor]: Taking taylor expansion of re in im 4.065 * [taylor]: Taking taylor expansion of (* im im) in im 4.065 * [taylor]: Taking taylor expansion of im in im 4.065 * [taylor]: Taking taylor expansion of im in im 4.066 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 4.066 * [taylor]: Taking taylor expansion of re in re 4.066 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.066 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.066 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.066 * [taylor]: Taking taylor expansion of (* re re) in re 4.066 * [taylor]: Taking taylor expansion of re in re 4.066 * [taylor]: Taking taylor expansion of re in re 4.066 * [taylor]: Taking taylor expansion of (* im im) in re 4.066 * [taylor]: Taking taylor expansion of im in re 4.066 * [taylor]: Taking taylor expansion of im in re 4.067 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 4.067 * [taylor]: Taking taylor expansion of re in re 4.067 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.067 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.067 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.067 * [taylor]: Taking taylor expansion of (* re re) in re 4.067 * [taylor]: Taking taylor expansion of re in re 4.067 * [taylor]: Taking taylor expansion of re in re 4.067 * [taylor]: Taking taylor expansion of (* im im) in re 4.068 * [taylor]: Taking taylor expansion of im in re 4.068 * [taylor]: Taking taylor expansion of im in re 4.069 * [taylor]: Taking taylor expansion of im in im 4.069 * [taylor]: Taking taylor expansion of 1 in im 4.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.070 * [taylor]: Taking taylor expansion of 1/2 in im 4.070 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.070 * [taylor]: Taking taylor expansion of im in im 4.073 * [taylor]: Taking taylor expansion of 0 in im 4.074 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.075 * [taylor]: Taking taylor expansion of re in im 4.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.075 * [taylor]: Taking taylor expansion of re in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.075 * [taylor]: Taking taylor expansion of re in im 4.075 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.075 * [taylor]: Taking taylor expansion of im in im 4.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.075 * [taylor]: Taking taylor expansion of im in im 4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.078 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.078 * [taylor]: Taking taylor expansion of re in re 4.078 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.078 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.078 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.078 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.078 * [taylor]: Taking taylor expansion of re in re 4.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.079 * [taylor]: Taking taylor expansion of re in re 4.079 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.079 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.079 * [taylor]: Taking taylor expansion of im in re 4.079 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.079 * [taylor]: Taking taylor expansion of im in re 4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.081 * [taylor]: Taking taylor expansion of re in re 4.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.082 * [taylor]: Taking taylor expansion of re in re 4.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.082 * [taylor]: Taking taylor expansion of re in re 4.082 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.082 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.082 * [taylor]: Taking taylor expansion of im in re 4.082 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.083 * [taylor]: Taking taylor expansion of im in re 4.085 * [taylor]: Taking taylor expansion of 2 in im 4.086 * [taylor]: Taking taylor expansion of 0 in im 4.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.089 * [taylor]: Taking taylor expansion of 1/2 in im 4.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.089 * [taylor]: Taking taylor expansion of im in im 4.093 * [taylor]: Taking taylor expansion of 0 in im 4.095 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.095 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.095 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.095 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.095 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.095 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.095 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.095 * [taylor]: Taking taylor expansion of -1 in im 4.095 * [taylor]: Taking taylor expansion of re in im 4.096 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.096 * [taylor]: Taking taylor expansion of -1 in im 4.096 * [taylor]: Taking taylor expansion of re in im 4.096 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.096 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.096 * [taylor]: Taking taylor expansion of -1 in im 4.096 * [taylor]: Taking taylor expansion of im in im 4.096 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.096 * [taylor]: Taking taylor expansion of -1 in im 4.096 * [taylor]: Taking taylor expansion of im in im 4.099 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.099 * [taylor]: Taking taylor expansion of re in im 4.099 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.099 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.099 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.099 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.099 * [taylor]: Taking taylor expansion of -1 in re 4.099 * [taylor]: Taking taylor expansion of re in re 4.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.099 * [taylor]: Taking taylor expansion of -1 in re 4.099 * [taylor]: Taking taylor expansion of re in re 4.100 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.100 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.100 * [taylor]: Taking taylor expansion of -1 in re 4.100 * [taylor]: Taking taylor expansion of im in re 4.100 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.100 * [taylor]: Taking taylor expansion of -1 in re 4.100 * [taylor]: Taking taylor expansion of im in re 4.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.102 * [taylor]: Taking taylor expansion of re in re 4.103 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.103 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.103 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.103 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.103 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.103 * [taylor]: Taking taylor expansion of -1 in re 4.103 * [taylor]: Taking taylor expansion of re in re 4.103 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.103 * [taylor]: Taking taylor expansion of -1 in re 4.103 * [taylor]: Taking taylor expansion of re in re 4.103 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.103 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.103 * [taylor]: Taking taylor expansion of -1 in re 4.103 * [taylor]: Taking taylor expansion of im in re 4.104 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.104 * [taylor]: Taking taylor expansion of -1 in re 4.104 * [taylor]: Taking taylor expansion of im in re 4.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.106 * [taylor]: Taking taylor expansion of re in re 4.107 * [taylor]: Taking taylor expansion of 0 in im 4.108 * [taylor]: Taking taylor expansion of 0 in im 4.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.111 * [taylor]: Taking taylor expansion of 1/2 in im 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.111 * [taylor]: Taking taylor expansion of im in im 4.116 * [taylor]: Taking taylor expansion of 0 in im 4.118 * * * [progress]: simplifying candidates 4.126 * [simplify]: Simplifying using # : (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (* (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (* (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (* (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (* +nan.0 (sqrt 2.0))))))))))))) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (* +nan.0 (sqrt 2.0))))))))))))) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (* (pow (- 1 (* +nan.0 (sqrt 2.0))) 2) (pow re 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2)))) (- (* +nan.0 (sqrt 2.0))))))))))))) 0 (+ re im) (* 2 re) 0 4.131 * * [simplify]: iteration 0 : 236 enodes (cost 523 ) 4.136 * * [simplify]: iteration 1 : 793 enodes (cost 442 ) 4.152 * * [simplify]: iteration 2 : 3867 enodes (cost 409 ) 4.238 * * [simplify]: iteration 3 : 5001 enodes (cost 405 ) 4.241 * [simplify]: Simplified to: (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (log1p (sqrt (* 2.0 (+ (hypot re im) re))))) (expm1 (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (exp (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (* (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re))))))) (cbrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (sqrt (expm1 (log1p (sqrt (* 2.0 (+ (hypot re im) re)))))) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (/ (/ 2.0 (pow re 2)) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (fma (/ +nan.0 (pow re 2)) (- (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (/ 2.0 (- 1 (* +nan.0 (sqrt 2.0))))) (* +nan.0 (- (/ (sqrt 2.0) re) (- (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2))) (sqrt 2.0)))))) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (/ (/ 2.0 (pow re 2)) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (fma (/ +nan.0 (pow re 2)) (- (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (/ 2.0 (- 1 (* +nan.0 (sqrt 2.0))))) (* +nan.0 (- (/ (sqrt 2.0) re) (- (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2))) (sqrt 2.0)))))) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (/ (/ 2.0 (pow re 2)) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (fma (/ +nan.0 (pow re 2)) (- (/ (pow (sqrt 2.0) 3) (pow (- 1 (* +nan.0 (sqrt 2.0))) 2)) (/ 2.0 (- 1 (* +nan.0 (sqrt 2.0))))) (* +nan.0 (- (/ (sqrt 2.0) re) (- (/ (sqrt 2.0) (* (- 1 (* +nan.0 (sqrt 2.0))) (pow re 2))) (sqrt 2.0)))))) 0 (+ re im) (* 2 re) 0 4.241 * * * [progress]: adding candidates to table 4.501 * [progress]: [Phase 3 of 3] Extracting. 4.501 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 4.503 * * * [regime-changes]: Trying 2 branch expressions: (im re) 4.503 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 4.561 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 4.619 * * * [regime]: Found split indices: #