12.276 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [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 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.071 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.075 * [taylor]: Taking taylor expansion of 1/2 in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [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 0.086 * [taylor]: Taking taylor expansion of 1 in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [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 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.099 * [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 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of 1/2 in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.111 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.111 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of 2 in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.134 * [taylor]: Taking taylor expansion of 1/2 in im 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [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 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.155 * [taylor]: Taking taylor expansion of 1/2 in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.161 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.161 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.161 * [taylor]: Taking taylor expansion of 2.0 in im 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.162 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.162 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.163 * [taylor]: Taking taylor expansion of 2.0 in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.164 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.165 * [taylor]: Taking taylor expansion of 2.0 in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.168 * [taylor]: Taking taylor expansion of 2.0 in im 0.168 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.170 * [taylor]: Taking taylor expansion of 2.0 in im 0.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.183 * [taylor]: Taking taylor expansion of 1/8 in im 0.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.183 * [taylor]: Taking taylor expansion of 2.0 in im 0.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.184 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.184 * [taylor]: Taking taylor expansion of im in im 0.203 * [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 0.203 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.203 * [taylor]: Taking taylor expansion of 2.0 in im 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.208 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.208 * [taylor]: Taking taylor expansion of 2.0 in re 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.213 * [taylor]: Taking taylor expansion of 2.0 in re 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.214 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.219 * [taylor]: Taking taylor expansion of 0 in im 0.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.220 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.220 * [taylor]: Taking taylor expansion of +nan.0 in im 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.220 * [taylor]: Taking taylor expansion of 2.0 in im 0.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.226 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.226 * [taylor]: Taking taylor expansion of +nan.0 in im 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.226 * [taylor]: Taking taylor expansion of 2.0 in im 0.234 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.234 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.234 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.234 * [taylor]: Taking taylor expansion of +nan.0 in im 0.234 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.234 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.236 * [taylor]: Taking taylor expansion of +nan.0 in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.247 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.247 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.247 * [taylor]: Taking taylor expansion of +nan.0 in im 0.247 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.247 * [taylor]: Taking taylor expansion of 2.0 in im 0.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.249 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.249 * [taylor]: Taking taylor expansion of +nan.0 in im 0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.249 * [taylor]: Taking taylor expansion of 2.0 in im 0.262 * [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 0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.262 * [taylor]: Taking taylor expansion of 2.0 in im 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.263 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.264 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.264 * [taylor]: Taking taylor expansion of re in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.267 * [taylor]: Taking taylor expansion of 2.0 in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.276 * [taylor]: Taking taylor expansion of 2.0 in re 0.277 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.277 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.280 * [taylor]: Taking taylor expansion of re in re 0.289 * [taylor]: Taking taylor expansion of 0 in im 0.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.290 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.290 * [taylor]: Taking taylor expansion of +nan.0 in im 0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.290 * [taylor]: Taking taylor expansion of 2.0 in im 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.298 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.299 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.299 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.316 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.316 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.318 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.318 * [taylor]: Taking taylor expansion of +nan.0 in im 0.318 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.318 * [taylor]: Taking taylor expansion of 2.0 in im 0.318 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.340 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.341 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.341 * [taylor]: Taking taylor expansion of re in im 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [taylor]: Taking taylor expansion of 1 in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.346 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.347 * [taylor]: Taking taylor expansion of im in re 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.347 * [taylor]: Taking taylor expansion of re in re 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.348 * [taylor]: Taking taylor expansion of im in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.349 * [taylor]: Taking taylor expansion of 1 in im 0.350 * [taylor]: Taking taylor expansion of 0 in im 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of 1 in im 0.360 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.366 * [taylor]: Taking taylor expansion of 0 in im 0.370 * * * [progress]: simplifying candidates 0.371 * [simplify]: Simplifying using # : (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.378 * * [simplify]: iteration 0 : 203 enodes (cost 172 ) 0.382 * * [simplify]: iteration 1 : 717 enodes (cost 155 ) 0.394 * * [simplify]: iteration 2 : 2348 enodes (cost 142 ) 0.440 * * [simplify]: iteration 3 : 5002 enodes (cost 139 ) 0.441 * [simplify]: Simplified to: (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))) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (pow im 2) (- (hypot re im) re) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ 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 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.441 * * * [progress]: adding candidates to table 0.520 * * [progress]: iteration 2 / 4 0.520 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.537 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.541 * * * [progress]: generating series expansions 0.541 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.541 * [approximate]: Taking taylor expansion of (+ re (hypot im re)) in (im re) around 0 0.541 * [taylor]: Taking taylor expansion of (+ re (hypot im re)) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.541 * [taylor]: Taking taylor expansion of (hypot im re) in re 0.541 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.541 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 0.541 * [taylor]: Taking taylor expansion of (* im im) in re 0.541 * [taylor]: Taking taylor expansion of im in re 0.541 * [taylor]: Taking taylor expansion of im in re 0.541 * [taylor]: Taking taylor expansion of (* re re) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.544 * [taylor]: Taking taylor expansion of (+ re (hypot im re)) in im 0.544 * [taylor]: Taking taylor expansion of re in im 0.544 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.544 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.544 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.544 * [taylor]: Taking taylor expansion of (* im im) in im 0.544 * [taylor]: Taking taylor expansion of im in im 0.544 * [taylor]: Taking taylor expansion of im in im 0.544 * [taylor]: Taking taylor expansion of (* re re) in im 0.544 * [taylor]: Taking taylor expansion of re in im 0.544 * [taylor]: Taking taylor expansion of re in im 0.546 * [taylor]: Taking taylor expansion of (+ re (hypot im re)) in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.546 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.546 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.546 * [taylor]: Taking taylor expansion of (* im im) in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.546 * [taylor]: Taking taylor expansion of (* re re) in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.547 * [taylor]: Taking taylor expansion of (* 2 re) in re 0.547 * [taylor]: Taking taylor expansion of 2 in re 0.547 * [taylor]: Taking taylor expansion of re in re 0.548 * [taylor]: Taking taylor expansion of 0 in re 0.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 0.550 * [taylor]: Taking taylor expansion of 1/2 in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.553 * [taylor]: Taking taylor expansion of 0 in re 0.554 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))) in (im re) around 0 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))) in re 0.554 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.554 * [taylor]: Taking taylor expansion of re in re 0.554 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.555 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in re 0.555 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.558 * [taylor]: Taking taylor expansion of re in im 0.558 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.558 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.558 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.558 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))) in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.562 * [taylor]: Taking taylor expansion of re in im 0.562 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.562 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.562 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.562 * [taylor]: Taking taylor expansion of re in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.562 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of 1 in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.568 * [taylor]: Taking taylor expansion of 1/2 in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.568 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.576 * [taylor]: Taking taylor expansion of 0 in re 0.579 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in (im re) around 0 0.579 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 0.579 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 0.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.579 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 0.579 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.579 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.579 * [taylor]: Taking taylor expansion of -1 in re 0.579 * [taylor]: Taking taylor expansion of im in re 0.579 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.579 * [taylor]: Taking taylor expansion of -1 in re 0.579 * [taylor]: Taking taylor expansion of im in re 0.579 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.579 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.579 * [taylor]: Taking taylor expansion of -1 in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.579 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.580 * [taylor]: Taking taylor expansion of -1 in re 0.580 * [taylor]: Taking taylor expansion of re in re 0.582 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.582 * [taylor]: Taking taylor expansion of re in re 0.583 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.583 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.583 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.583 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.583 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.583 * [taylor]: Taking taylor expansion of -1 in im 0.583 * [taylor]: Taking taylor expansion of im in im 0.583 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.583 * [taylor]: Taking taylor expansion of -1 in im 0.583 * [taylor]: Taking taylor expansion of im in im 0.584 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.584 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.584 * [taylor]: Taking taylor expansion of -1 in im 0.584 * [taylor]: Taking taylor expansion of re in im 0.584 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.584 * [taylor]: Taking taylor expansion of -1 in im 0.584 * [taylor]: Taking taylor expansion of re in im 0.586 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.586 * [taylor]: Taking taylor expansion of re in im 0.586 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.586 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.587 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.587 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.587 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.587 * [taylor]: Taking taylor expansion of -1 in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.587 * [taylor]: Taking taylor expansion of -1 in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.587 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.587 * [taylor]: Taking taylor expansion of -1 in im 0.587 * [taylor]: Taking taylor expansion of re in im 0.587 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.587 * [taylor]: Taking taylor expansion of -1 in im 0.587 * [taylor]: Taking taylor expansion of re in im 0.590 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.590 * [taylor]: Taking taylor expansion of re in im 0.590 * [taylor]: Taking taylor expansion of 1 in re 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.594 * [taylor]: Taking taylor expansion of 1/2 in re 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.594 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.594 * [taylor]: Taking taylor expansion of re in re 0.600 * [taylor]: Taking taylor expansion of 0 in re 0.602 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.602 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot im re))) (sqrt 2.0)) in (im re) around 0 0.602 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot im re))) (sqrt 2.0)) in re 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot im re))) in re 0.602 * [taylor]: Taking taylor expansion of (+ re (hypot im re)) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [taylor]: Taking taylor expansion of (hypot im re) in re 0.602 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.602 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 0.602 * [taylor]: Taking taylor expansion of (* im im) in re 0.602 * [taylor]: Taking taylor expansion of im in re 0.602 * [taylor]: Taking taylor expansion of im in re 0.602 * [taylor]: Taking taylor expansion of (* re re) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.603 * [taylor]: Taking taylor expansion of re in re 0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.604 * [taylor]: Taking taylor expansion of 2.0 in re 0.605 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot im re))) (sqrt 2.0)) in im 0.605 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot im re))) in im 0.605 * [taylor]: Taking taylor expansion of (+ re (hypot im re)) in im 0.605 * [taylor]: Taking taylor expansion of re in im 0.605 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.605 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.605 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.605 * [taylor]: Taking taylor expansion of (* im im) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [taylor]: Taking taylor expansion of (* re re) in im 0.605 * [taylor]: Taking taylor expansion of re in im 0.605 * [taylor]: Taking taylor expansion of re in im 0.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.607 * [taylor]: Taking taylor expansion of 2.0 in im 0.607 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot im re))) (sqrt 2.0)) in im 0.607 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot im re))) in im 0.607 * [taylor]: Taking taylor expansion of (+ re (hypot im re)) in im 0.607 * [taylor]: Taking taylor expansion of re in im 0.607 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.607 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.607 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.607 * [taylor]: Taking taylor expansion of (* im im) in im 0.607 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of (* re re) in im 0.607 * [taylor]: Taking taylor expansion of re in im 0.607 * [taylor]: Taking taylor expansion of re in im 0.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.609 * [taylor]: Taking taylor expansion of 2.0 in im 0.610 * [taylor]: Taking taylor expansion of (* (sqrt re) (* (sqrt 2) (sqrt 2.0))) in re 0.610 * [taylor]: Taking taylor expansion of (sqrt re) in re 0.610 * [taylor]: Taking taylor expansion of re in re 0.611 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt 2.0)) in re 0.611 * [taylor]: Taking taylor expansion of (sqrt 2) in re 0.611 * [taylor]: Taking taylor expansion of 2 in re 0.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.612 * [taylor]: Taking taylor expansion of 2.0 in re 0.615 * [taylor]: Taking taylor expansion of 0 in re 0.625 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ (sqrt 2.0) (sqrt 2)))) in re 0.625 * [taylor]: Taking taylor expansion of 1/4 in re 0.625 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow re 3))) (/ (sqrt 2.0) (sqrt 2))) in re 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.625 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.627 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 0.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.627 * [taylor]: Taking taylor expansion of 2.0 in re 0.628 * [taylor]: Taking taylor expansion of (sqrt 2) in re 0.628 * [taylor]: Taking taylor expansion of 2 in re 0.666 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))))) in (im re) around 0 0.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))))) in re 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.666 * [taylor]: Taking taylor expansion of 2.0 in re 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re)))) in re 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 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 (hypot (/ 1 im) (/ 1 re)) in re 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in re 0.668 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))))) in im 0.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.672 * [taylor]: Taking taylor expansion of 2.0 in im 0.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re)))) in im 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.673 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.673 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.674 * [taylor]: Taking taylor expansion of re in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.674 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))))) in im 0.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.678 * [taylor]: Taking taylor expansion of 2.0 in im 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re)))) in im 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 im) (/ 1 re))) in im 0.678 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.678 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.678 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.679 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.679 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.683 * [taylor]: Taking taylor expansion of 0 in re 0.685 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.685 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.685 * [taylor]: Taking taylor expansion of +nan.0 in re 0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.685 * [taylor]: Taking taylor expansion of 2.0 in re 0.688 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.688 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.688 * [taylor]: Taking taylor expansion of +nan.0 in re 0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.688 * [taylor]: Taking taylor expansion of 2.0 in re 0.689 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.689 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.689 * [taylor]: Taking taylor expansion of +nan.0 in re 0.689 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.689 * [taylor]: Taking taylor expansion of 2.0 in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.702 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.702 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.702 * [taylor]: Taking taylor expansion of +nan.0 in re 0.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.703 * [taylor]: Taking taylor expansion of 2.0 in re 0.703 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.703 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.703 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.703 * [taylor]: Taking taylor expansion of +nan.0 in re 0.703 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.703 * [taylor]: Taking taylor expansion of 2.0 in re 0.704 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.705 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.705 * [taylor]: Taking taylor expansion of +nan.0 in re 0.705 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) 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 re in re 0.721 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in (im re) around 0 0.721 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in re 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.721 * [taylor]: Taking taylor expansion of 2.0 in re 0.722 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in re 0.722 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 0.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 0.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 0.722 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.722 * [taylor]: Taking taylor expansion of -1 in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.722 * [taylor]: Taking taylor expansion of -1 in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.722 * [taylor]: Taking taylor expansion of -1 in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.722 * [taylor]: Taking taylor expansion of -1 in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in im 0.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.731 * [taylor]: Taking taylor expansion of 2.0 in im 0.732 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 0.732 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.732 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.737 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in im 0.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.737 * [taylor]: Taking taylor expansion of 2.0 in im 0.737 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 0.737 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.737 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.738 * [taylor]: Taking taylor expansion of -1 in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.738 * [taylor]: Taking taylor expansion of -1 in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.738 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.738 * [taylor]: Taking taylor expansion of -1 in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.738 * [taylor]: Taking taylor expansion of -1 in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.741 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.741 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of 0 in re 0.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.744 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.744 * [taylor]: Taking taylor expansion of +nan.0 in re 0.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.744 * [taylor]: Taking taylor expansion of 2.0 in re 0.754 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.754 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.754 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.754 * [taylor]: Taking taylor expansion of +nan.0 in re 0.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.754 * [taylor]: Taking taylor expansion of 2.0 in re 0.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.755 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.755 * [taylor]: Taking taylor expansion of +nan.0 in re 0.755 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) 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 0.755 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.768 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.768 * [taylor]: Taking taylor expansion of +nan.0 in re 0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.768 * [taylor]: Taking taylor expansion of 2.0 in re 0.769 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.769 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.769 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.769 * [taylor]: Taking taylor expansion of +nan.0 in re 0.769 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.769 * [taylor]: Taking taylor expansion of 2.0 in re 0.770 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.770 * [taylor]: Taking taylor expansion of re in re 0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.770 * [taylor]: Taking taylor expansion of +nan.0 in re 0.770 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.770 * [taylor]: Taking taylor expansion of 2.0 in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.783 * * * [progress]: simplifying candidates 0.784 * [simplify]: Simplifying using # : (+ (pow (hypot im re) 3) (pow re 3)) (+ (* (hypot im re) (hypot im re)) (- (* re re) (* (hypot im re) re))) (- (* (hypot im re) (hypot im re)) (* re re)) (- (hypot im re) re) (sqrt 2.0) (sqrt (+ (hypot im re) re)) (sqrt (+ (hypot im re) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow (hypot im re) 3) (pow re 3)))) (sqrt (+ (* (hypot im re) (hypot im re)) (- (* re re) (* (hypot im re) re)))) (sqrt (* 2.0 (- (* (hypot im re) (hypot im re)) (* re re)))) (sqrt (- (hypot im re) re)) (* 2 re) (+ re im) (- re im) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 0.788 * * [simplify]: iteration 0 : 186 enodes (cost 106 ) 0.791 * * [simplify]: iteration 1 : 579 enodes (cost 94 ) 0.803 * * [simplify]: iteration 2 : 2283 enodes (cost 86 ) 0.848 * * [simplify]: iteration 3 : 5001 enodes (cost 85 ) 0.849 * [simplify]: Simplified to: (+ (pow (hypot im re) 3) (pow re 3)) (fma (hypot im re) (- (hypot im re) re) (pow re 2)) (- (* (hypot im re) (hypot im re)) (* re re)) (- (hypot im re) re) (sqrt 2.0) (sqrt (+ (hypot im re) re)) (sqrt (+ (hypot im re) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow (hypot im re) 3) (pow re 3)))) (sqrt (+ (* (hypot im re) (hypot im re)) (- (* re re) (* (hypot im re) re)))) (sqrt (* 2.0 (- (* (hypot im re) (hypot im re)) (* re re)))) (sqrt (- (hypot im re) re)) (* 2 re) (+ re im) (- re im) (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) 0.849 * * * [progress]: adding candidates to table 0.890 * * [progress]: iteration 3 / 4 0.890 * * * [progress]: picking best candidate 0.896 * * * * [pick]: Picked # 0.896 * * * [progress]: localizing error 0.906 * * * [progress]: generating rewritten candidates 0.906 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.910 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.915 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2) 0.918 * * * [progress]: generating series expansions 0.918 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.918 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in (im re) around 0 0.918 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in re 0.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.918 * [taylor]: Taking taylor expansion of im in re 0.918 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.918 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.918 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.919 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.919 * [taylor]: Taking taylor expansion of (* re re) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [taylor]: Taking taylor expansion of (* im im) in re 0.919 * [taylor]: Taking taylor expansion of im in re 0.919 * [taylor]: Taking taylor expansion of im in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.920 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.920 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.920 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.920 * [taylor]: Taking taylor expansion of (* re re) in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.921 * [taylor]: Taking taylor expansion of (* im im) in im 0.921 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of im in im 0.922 * [taylor]: Taking taylor expansion of re in im 0.924 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 0.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.924 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.924 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.924 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.924 * [taylor]: Taking taylor expansion of (* re re) in im 0.924 * [taylor]: Taking taylor expansion of re in im 0.924 * [taylor]: Taking taylor expansion of re in im 0.924 * [taylor]: Taking taylor expansion of (* im im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.926 * [taylor]: Taking taylor expansion of re in im 0.928 * [taylor]: Taking taylor expansion of (* 2 re) in re 0.928 * [taylor]: Taking taylor expansion of 2 in re 0.928 * [taylor]: Taking taylor expansion of re in re 0.931 * [taylor]: Taking taylor expansion of 0 in re 0.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 0.935 * [taylor]: Taking taylor expansion of 1/2 in re 0.935 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.939 * [taylor]: Taking taylor expansion of 0 in re 0.941 * [approximate]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 0.941 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 0.941 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 0.941 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.941 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.941 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.941 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.941 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.944 * [taylor]: Taking taylor expansion of im in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 0.950 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 0.950 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.951 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.951 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.951 * [taylor]: Taking taylor expansion of re in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.951 * [taylor]: Taking taylor expansion of re in im 0.951 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 0.955 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 0.955 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.955 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.955 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.955 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.955 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.955 * [taylor]: Taking taylor expansion of im in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.955 * [taylor]: Taking taylor expansion of im in im 0.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.958 * [taylor]: Taking taylor expansion of re in im 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.958 * [taylor]: Taking taylor expansion of im in im 0.960 * [taylor]: Taking taylor expansion of 1 in re 0.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.960 * [taylor]: Taking taylor expansion of re in re 0.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.968 * [taylor]: Taking taylor expansion of 1/2 in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.975 * [taylor]: Taking taylor expansion of 0 in re 0.977 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in (im re) around 0 0.977 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in re 0.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in re 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.977 * [taylor]: Taking taylor expansion of re in re 0.977 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.978 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.978 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.981 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.981 * [taylor]: Taking taylor expansion of im in re 0.981 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 0.981 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.982 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.982 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of re in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of re in im 0.982 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.985 * [taylor]: Taking taylor expansion of im in im 0.986 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 0.986 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.986 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.986 * [taylor]: Taking taylor expansion of re in im 0.986 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.986 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.986 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.986 * [taylor]: Taking taylor expansion of -1 in im 0.986 * [taylor]: Taking taylor expansion of re in im 0.987 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.987 * [taylor]: Taking taylor expansion of -1 in im 0.987 * [taylor]: Taking taylor expansion of re in im 0.987 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.987 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.987 * [taylor]: Taking taylor expansion of -1 in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.987 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.987 * [taylor]: Taking taylor expansion of -1 in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.990 * [taylor]: Taking taylor expansion of im in im 0.991 * [taylor]: Taking taylor expansion of 1 in re 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.992 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.997 * [taylor]: Taking taylor expansion of 1/2 in re 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.997 * [taylor]: Taking taylor expansion of re in re 1.001 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.002 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in (im re) around 0 1.002 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in re 1.002 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.002 * [taylor]: Taking taylor expansion of 2.0 in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in re 1.003 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in re 1.003 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.003 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.003 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.003 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.003 * [taylor]: Taking taylor expansion of (* re re) in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of (* im im) in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.005 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 1.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.005 * [taylor]: Taking taylor expansion of 2.0 in im 1.006 * [taylor]: Taking taylor expansion of im in im 1.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 1.006 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 1.006 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.006 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.006 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.006 * [taylor]: Taking taylor expansion of (* re re) in im 1.006 * [taylor]: Taking taylor expansion of re in im 1.006 * [taylor]: Taking taylor expansion of re in im 1.006 * [taylor]: Taking taylor expansion of (* im im) in im 1.006 * [taylor]: Taking taylor expansion of im in im 1.006 * [taylor]: Taking taylor expansion of im in im 1.007 * [taylor]: Taking taylor expansion of re in im 1.011 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 1.011 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.011 * [taylor]: Taking taylor expansion of 2.0 in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 1.012 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 1.012 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.012 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.012 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.012 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.012 * [taylor]: Taking taylor expansion of (* re re) in im 1.012 * [taylor]: Taking taylor expansion of re in im 1.012 * [taylor]: Taking taylor expansion of re in im 1.012 * [taylor]: Taking taylor expansion of (* im im) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.014 * [taylor]: Taking taylor expansion of re in im 1.018 * [taylor]: Taking taylor expansion of 0 in re 1.020 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.020 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.020 * [taylor]: Taking taylor expansion of 2.0 in re 1.021 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.021 * [taylor]: Taking taylor expansion of 2 in re 1.022 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.022 * [taylor]: Taking taylor expansion of re in re 1.030 * [taylor]: Taking taylor expansion of 0 in re 1.042 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.042 * [taylor]: Taking taylor expansion of 1/4 in re 1.042 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.042 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.042 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.042 * [taylor]: Taking taylor expansion of 2.0 in re 1.043 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.043 * [taylor]: Taking taylor expansion of 2 in re 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.044 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.044 * [taylor]: Taking taylor expansion of re in re 1.081 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in (im re) around 0 1.081 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in re 1.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.081 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.081 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.081 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.081 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.081 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.081 * [taylor]: Taking taylor expansion of re in re 1.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.081 * [taylor]: Taking taylor expansion of re in re 1.081 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.082 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.082 * [taylor]: Taking taylor expansion of im in re 1.082 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.082 * [taylor]: Taking taylor expansion of im in re 1.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.084 * [taylor]: Taking taylor expansion of re in re 1.090 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.090 * [taylor]: Taking taylor expansion of 2.0 in re 1.090 * [taylor]: Taking taylor expansion of im in re 1.091 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.091 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.091 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.091 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.091 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.094 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.094 * [taylor]: Taking taylor expansion of re in im 1.096 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.096 * [taylor]: Taking taylor expansion of 2.0 in im 1.096 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.097 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.097 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.097 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.097 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.097 * [taylor]: Taking taylor expansion of re in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.097 * [taylor]: Taking taylor expansion of re in im 1.097 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.097 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.100 * [taylor]: Taking taylor expansion of re in im 1.102 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.102 * [taylor]: Taking taylor expansion of 2.0 in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.104 * [taylor]: Taking taylor expansion of 0 in re 1.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.106 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.106 * [taylor]: Taking taylor expansion of +nan.0 in re 1.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.106 * [taylor]: Taking taylor expansion of 2.0 in re 1.109 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.109 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.109 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.109 * [taylor]: Taking taylor expansion of +nan.0 in re 1.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.109 * [taylor]: Taking taylor expansion of 2.0 in re 1.110 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.110 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.110 * [taylor]: Taking taylor expansion of +nan.0 in re 1.110 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.110 * [taylor]: Taking taylor expansion of 2.0 in re 1.111 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.125 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.125 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.125 * [taylor]: Taking taylor expansion of +nan.0 in re 1.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.125 * [taylor]: Taking taylor expansion of 2.0 in re 1.126 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.126 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.126 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.126 * [taylor]: Taking taylor expansion of +nan.0 in re 1.126 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.126 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.126 * [taylor]: Taking taylor expansion of 2.0 in re 1.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.127 * [taylor]: Taking taylor expansion of re in re 1.127 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.127 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.127 * [taylor]: Taking taylor expansion of +nan.0 in re 1.127 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.128 * [taylor]: Taking taylor expansion of 2.0 in re 1.128 * [taylor]: Taking taylor expansion of re in re 1.145 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in (im re) around 0 1.146 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.146 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.146 * [taylor]: Taking taylor expansion of 2.0 in re 1.146 * [taylor]: Taking taylor expansion of im in re 1.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.147 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.147 * [taylor]: Taking taylor expansion of re in re 1.147 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.147 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.147 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.147 * [taylor]: Taking taylor expansion of -1 in re 1.147 * [taylor]: Taking taylor expansion of re in re 1.147 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.147 * [taylor]: Taking taylor expansion of -1 in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.148 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.148 * [taylor]: Taking taylor expansion of -1 in re 1.148 * [taylor]: Taking taylor expansion of im in re 1.148 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.148 * [taylor]: Taking taylor expansion of -1 in re 1.148 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.152 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.152 * [taylor]: Taking taylor expansion of 2.0 in im 1.153 * [taylor]: Taking taylor expansion of im in im 1.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.154 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.154 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.154 * [taylor]: Taking taylor expansion of re in im 1.154 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.154 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.154 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.154 * [taylor]: Taking taylor expansion of -1 in im 1.154 * [taylor]: Taking taylor expansion of re in im 1.154 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.154 * [taylor]: Taking taylor expansion of -1 in im 1.154 * [taylor]: Taking taylor expansion of re in im 1.154 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.154 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.154 * [taylor]: Taking taylor expansion of -1 in im 1.154 * [taylor]: Taking taylor expansion of im in im 1.154 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.154 * [taylor]: Taking taylor expansion of -1 in im 1.154 * [taylor]: Taking taylor expansion of im in im 1.159 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.159 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.159 * [taylor]: Taking taylor expansion of 2.0 in im 1.159 * [taylor]: Taking taylor expansion of im in im 1.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.161 * [taylor]: Taking taylor expansion of re in im 1.161 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.161 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.161 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.161 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.161 * [taylor]: Taking taylor expansion of -1 in im 1.161 * [taylor]: Taking taylor expansion of re in im 1.161 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.161 * [taylor]: Taking taylor expansion of -1 in im 1.161 * [taylor]: Taking taylor expansion of re in im 1.161 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.161 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.161 * [taylor]: Taking taylor expansion of -1 in im 1.161 * [taylor]: Taking taylor expansion of im in im 1.162 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.162 * [taylor]: Taking taylor expansion of -1 in im 1.162 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of 0 in re 1.168 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.168 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.168 * [taylor]: Taking taylor expansion of +nan.0 in re 1.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.168 * [taylor]: Taking taylor expansion of 2.0 in re 1.174 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.174 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.174 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.174 * [taylor]: Taking taylor expansion of +nan.0 in re 1.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.175 * [taylor]: Taking taylor expansion of 2.0 in re 1.175 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.175 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.175 * [taylor]: Taking taylor expansion of +nan.0 in re 1.175 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.175 * [taylor]: Taking taylor expansion of 2.0 in re 1.176 * [taylor]: Taking taylor expansion of re in re 1.188 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.188 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.188 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.188 * [taylor]: Taking taylor expansion of +nan.0 in re 1.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.188 * [taylor]: Taking taylor expansion of 2.0 in re 1.189 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.189 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.189 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.189 * [taylor]: Taking taylor expansion of +nan.0 in re 1.189 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.189 * [taylor]: Taking taylor expansion of 2.0 in re 1.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.191 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.191 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.191 * [taylor]: Taking taylor expansion of +nan.0 in re 1.191 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.191 * [taylor]: Taking taylor expansion of 2.0 in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.203 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2) 1.204 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.204 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.204 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.204 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.204 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.204 * [taylor]: Taking taylor expansion of (* re re) in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of (* im im) in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.205 * [taylor]: Taking taylor expansion of re in im 1.205 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.205 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.205 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.205 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.205 * [taylor]: Taking taylor expansion of (* re re) in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of (* im im) in re 1.205 * [taylor]: Taking taylor expansion of im in re 1.205 * [taylor]: Taking taylor expansion of im in re 1.206 * [taylor]: Taking taylor expansion of re in re 1.206 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.207 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.207 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.207 * [taylor]: Taking taylor expansion of (* re re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (* im im) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of -1 in im 1.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.211 * [taylor]: Taking taylor expansion of 1/2 in im 1.211 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.211 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of 0 in im 1.215 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.215 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.215 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.215 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.215 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.215 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.216 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.219 * [taylor]: Taking taylor expansion of re in im 1.219 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.219 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.219 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.227 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.227 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.227 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.227 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of 0 in im 1.232 * [taylor]: Taking taylor expansion of 0 in im 1.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.235 * [taylor]: Taking taylor expansion of 1/2 in im 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.235 * [taylor]: Taking taylor expansion of im in im 1.240 * [taylor]: Taking taylor expansion of 0 in im 1.242 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.242 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.242 * [taylor]: Taking taylor expansion of re in im 1.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.242 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.242 * [taylor]: Taking taylor expansion of -1 in im 1.242 * [taylor]: Taking taylor expansion of re in im 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.242 * [taylor]: Taking taylor expansion of -1 in im 1.242 * [taylor]: Taking taylor expansion of re in im 1.242 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.242 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.242 * [taylor]: Taking taylor expansion of -1 in im 1.242 * [taylor]: Taking taylor expansion of im in im 1.243 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.243 * [taylor]: Taking taylor expansion of -1 in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.246 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.246 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.247 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.247 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.247 * [taylor]: Taking taylor expansion of -1 in re 1.247 * [taylor]: Taking taylor expansion of im in re 1.247 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.247 * [taylor]: Taking taylor expansion of -1 in re 1.247 * [taylor]: Taking taylor expansion of im in re 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.250 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.250 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.250 * [taylor]: Taking taylor expansion of -1 in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.250 * [taylor]: Taking taylor expansion of -1 in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of 2 in im 1.254 * [taylor]: Taking taylor expansion of 0 in im 1.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.257 * [taylor]: Taking taylor expansion of 1/2 in im 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.262 * [taylor]: Taking taylor expansion of 0 in im 1.264 * * * [progress]: simplifying candidates 1.264 * [simplify]: Simplifying using # : (- (pow im 2)) (- (- (hypot re im) re)) (/ 1 (- (hypot re im) re)) (/ (- (hypot re im) re) (pow im 2)) (/ (- (hypot re im) re) im) (/ (- (hypot re im) re) (pow im (/ 2 2))) (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3))) (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (/ 1 (- (hypot re im) re))) (sqrt (* 2.0 (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (- (hypot re im) re) (pow im 2))) (sqrt (* 2.0 (pow im 2))) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (- (pow im 2)))) (sqrt (- (- (hypot re im) re))) (sqrt (* 2.0 1)) (sqrt (/ (- (hypot re im) re) (pow im 2))) (sqrt (* 2.0 im)) (sqrt (/ (- (hypot re im) re) im)) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (/ (- (hypot re im) re) (pow im (/ 2 2)))) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (- re) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 1.268 * * [simplify]: iteration 0 : 230 enodes (cost 192 ) 1.273 * * [simplify]: iteration 1 : 761 enodes (cost 181 ) 1.289 * * [simplify]: iteration 2 : 3376 enodes (cost 173 ) 1.359 * * [simplify]: iteration 3 : 5001 enodes (cost 172 ) 1.361 * [simplify]: Simplified to: (- (pow im 2)) (- (- (hypot re im) re)) (/ 1 (- (hypot re im) re)) (/ (- (hypot re im) re) (pow im 2)) (/ (- (hypot re im) re) im) (/ (- (hypot re im) re) im) (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3))) (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (/ 1 (- (hypot re im) re))) (sqrt (* 2.0 (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (- (hypot re im) re) (pow im 2))) (sqrt (* 2.0 (pow im 2))) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (- (pow im 2)))) (sqrt (- (- (hypot re im) re))) (sqrt 2.0) (sqrt (/ (- (hypot re im) re) (pow im 2))) (sqrt (* 2.0 im)) (sqrt (/ (- (hypot re im) re) im)) (sqrt (* 2.0 im)) (sqrt (/ (- (hypot re im) re) im)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (hypot re im) re) (pow re 2)) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (- re) (* 2 re) (+ re im) 0 (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) 1.361 * * * [progress]: adding candidates to table 1.451 * * [progress]: iteration 4 / 4 1.451 * * * [progress]: picking best candidate 1.464 * * * * [pick]: Picked # 1.464 * * * [progress]: localizing error 1.473 * * * [progress]: generating rewritten candidates 1.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.479 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 1.481 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.485 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.490 * * * [progress]: generating series expansions 1.490 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.490 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in (im re) around 0 1.490 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in re 1.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.490 * [taylor]: Taking taylor expansion of 2.0 in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in re 1.491 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in re 1.491 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.491 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.491 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.491 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.491 * [taylor]: Taking taylor expansion of (* re re) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of (* im im) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.493 * [taylor]: Taking taylor expansion of re in re 1.494 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 1.494 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.494 * [taylor]: Taking taylor expansion of 2.0 in im 1.494 * [taylor]: Taking taylor expansion of im in im 1.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 1.494 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 1.494 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.494 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.495 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.495 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.495 * [taylor]: Taking taylor expansion of (* re re) in im 1.495 * [taylor]: Taking taylor expansion of re in im 1.495 * [taylor]: Taking taylor expansion of re in im 1.495 * [taylor]: Taking taylor expansion of (* im im) in im 1.495 * [taylor]: Taking taylor expansion of im in im 1.495 * [taylor]: Taking taylor expansion of im in im 1.496 * [taylor]: Taking taylor expansion of re in im 1.500 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 1.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.500 * [taylor]: Taking taylor expansion of 2.0 in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 1.501 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 1.501 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.501 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.501 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.501 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.501 * [taylor]: Taking taylor expansion of (* re re) in im 1.501 * [taylor]: Taking taylor expansion of re in im 1.501 * [taylor]: Taking taylor expansion of re in im 1.501 * [taylor]: Taking taylor expansion of (* im im) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.502 * [taylor]: Taking taylor expansion of re in im 1.507 * [taylor]: Taking taylor expansion of 0 in re 1.509 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.509 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.509 * [taylor]: Taking taylor expansion of 2.0 in re 1.510 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.510 * [taylor]: Taking taylor expansion of 2 in re 1.511 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.511 * [taylor]: Taking taylor expansion of re in re 1.519 * [taylor]: Taking taylor expansion of 0 in re 1.531 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.531 * [taylor]: Taking taylor expansion of 1/4 in re 1.531 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.531 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.531 * [taylor]: Taking taylor expansion of 2.0 in re 1.531 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.531 * [taylor]: Taking taylor expansion of 2 in re 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.533 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.571 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in (im re) around 0 1.571 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in re 1.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.571 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.571 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.571 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.571 * [taylor]: Taking taylor expansion of re in re 1.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.572 * [taylor]: Taking taylor expansion of re in re 1.572 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.572 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.572 * [taylor]: Taking taylor expansion of im in re 1.572 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.572 * [taylor]: Taking taylor expansion of im in re 1.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.580 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.580 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.580 * [taylor]: Taking taylor expansion of 2.0 in re 1.581 * [taylor]: Taking taylor expansion of im in re 1.581 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.581 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.581 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.581 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.581 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.581 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.581 * [taylor]: Taking taylor expansion of re in im 1.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.581 * [taylor]: Taking taylor expansion of re in im 1.581 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.581 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.581 * [taylor]: Taking taylor expansion of im in im 1.582 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.582 * [taylor]: Taking taylor expansion of im in im 1.584 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.584 * [taylor]: Taking taylor expansion of re in im 1.586 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.586 * [taylor]: Taking taylor expansion of 2.0 in im 1.587 * [taylor]: Taking taylor expansion of im in im 1.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.587 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.587 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.587 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.588 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.588 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.588 * [taylor]: Taking taylor expansion of re in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.588 * [taylor]: Taking taylor expansion of re in im 1.588 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.591 * [taylor]: Taking taylor expansion of re in im 1.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) 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 im in im 1.594 * [taylor]: Taking taylor expansion of 0 in re 1.596 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.596 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.596 * [taylor]: Taking taylor expansion of +nan.0 in re 1.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.596 * [taylor]: Taking taylor expansion of 2.0 in re 1.600 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.600 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.600 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.600 * [taylor]: Taking taylor expansion of +nan.0 in re 1.600 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.600 * [taylor]: Taking taylor expansion of 2.0 in re 1.600 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.600 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.600 * [taylor]: Taking taylor expansion of +nan.0 in re 1.600 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.601 * [taylor]: Taking taylor expansion of 2.0 in re 1.601 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.616 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.616 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.616 * [taylor]: Taking taylor expansion of +nan.0 in re 1.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.616 * [taylor]: Taking taylor expansion of 2.0 in re 1.617 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.617 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.617 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.617 * [taylor]: Taking taylor expansion of +nan.0 in re 1.617 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.617 * [taylor]: Taking taylor expansion of 2.0 in re 1.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.619 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.619 * [taylor]: Taking taylor expansion of +nan.0 in re 1.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.619 * [taylor]: Taking taylor expansion of 2.0 in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.638 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in (im re) around 0 1.638 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.638 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.638 * [taylor]: Taking taylor expansion of 2.0 in re 1.638 * [taylor]: Taking taylor expansion of im in re 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.639 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.639 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.639 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.639 * [taylor]: Taking taylor expansion of -1 in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.640 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [taylor]: Taking taylor expansion of re in re 1.640 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [taylor]: Taking taylor expansion of im in re 1.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [taylor]: Taking taylor expansion of im in re 1.644 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.644 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.644 * [taylor]: Taking taylor expansion of 2.0 in im 1.645 * [taylor]: Taking taylor expansion of im in im 1.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.646 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.646 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.646 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.646 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.646 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.646 * [taylor]: Taking taylor expansion of -1 in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.646 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.646 * [taylor]: Taking taylor expansion of -1 in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.646 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.646 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.646 * [taylor]: Taking taylor expansion of -1 in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.646 * [taylor]: Taking taylor expansion of -1 in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.651 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.651 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.651 * [taylor]: Taking taylor expansion of 2.0 in im 1.651 * [taylor]: Taking taylor expansion of im in im 1.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.652 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.652 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.652 * [taylor]: Taking taylor expansion of re in im 1.652 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.652 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.652 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.652 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.652 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.652 * [taylor]: Taking taylor expansion of -1 in im 1.652 * [taylor]: Taking taylor expansion of re in im 1.652 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.652 * [taylor]: Taking taylor expansion of -1 in im 1.652 * [taylor]: Taking taylor expansion of re in im 1.652 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.652 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.652 * [taylor]: Taking taylor expansion of -1 in im 1.652 * [taylor]: Taking taylor expansion of im in im 1.653 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.653 * [taylor]: Taking taylor expansion of -1 in im 1.653 * [taylor]: Taking taylor expansion of im in im 1.657 * [taylor]: Taking taylor expansion of 0 in re 1.659 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.659 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.659 * [taylor]: Taking taylor expansion of +nan.0 in re 1.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.659 * [taylor]: Taking taylor expansion of 2.0 in re 1.666 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.666 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.666 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.666 * [taylor]: Taking taylor expansion of +nan.0 in re 1.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.666 * [taylor]: Taking taylor expansion of 2.0 in re 1.666 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.667 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.667 * [taylor]: Taking taylor expansion of +nan.0 in re 1.667 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.667 * [taylor]: Taking taylor expansion of 2.0 in re 1.667 * [taylor]: Taking taylor expansion of re in re 1.680 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.680 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.680 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.680 * [taylor]: Taking taylor expansion of +nan.0 in re 1.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.680 * [taylor]: Taking taylor expansion of 2.0 in re 1.681 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.681 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.681 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.681 * [taylor]: Taking taylor expansion of +nan.0 in re 1.681 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.681 * [taylor]: Taking taylor expansion of 2.0 in re 1.682 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.682 * [taylor]: Taking taylor expansion of re in re 1.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.683 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.683 * [taylor]: Taking taylor expansion of +nan.0 in re 1.683 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) 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 re in re 1.696 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 1.696 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.696 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.696 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.696 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.696 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.696 * [taylor]: Taking taylor expansion of (* re re) in im 1.696 * [taylor]: Taking taylor expansion of re in im 1.696 * [taylor]: Taking taylor expansion of re in im 1.696 * [taylor]: Taking taylor expansion of (* im im) in im 1.696 * [taylor]: Taking taylor expansion of im in im 1.696 * [taylor]: Taking taylor expansion of im in im 1.697 * [taylor]: Taking taylor expansion of re in im 1.697 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.697 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.698 * [taylor]: Taking taylor expansion of (* re re) in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.698 * [taylor]: Taking taylor expansion of (* im im) in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.699 * [taylor]: Taking taylor expansion of re in re 1.699 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.699 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.699 * [taylor]: Taking taylor expansion of (* re re) in re 1.699 * [taylor]: Taking taylor expansion of re in re 1.699 * [taylor]: Taking taylor expansion of re in re 1.699 * [taylor]: Taking taylor expansion of (* im im) in re 1.699 * [taylor]: Taking taylor expansion of im in re 1.699 * [taylor]: Taking taylor expansion of im in re 1.700 * [taylor]: Taking taylor expansion of re in re 1.700 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of -1 in im 1.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.703 * [taylor]: Taking taylor expansion of 1/2 in im 1.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.703 * [taylor]: Taking taylor expansion of im in im 1.706 * [taylor]: Taking taylor expansion of 0 in im 1.707 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.707 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.707 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.707 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.707 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.707 * [taylor]: Taking taylor expansion of re in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.707 * [taylor]: Taking taylor expansion of re in im 1.707 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.707 * [taylor]: Taking taylor expansion of im in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.707 * [taylor]: Taking taylor expansion of im in im 1.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.714 * [taylor]: Taking taylor expansion of re in im 1.714 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.714 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.714 * [taylor]: Taking taylor expansion of re in re 1.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.714 * [taylor]: Taking taylor expansion of re in re 1.715 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.717 * [taylor]: Taking taylor expansion of re in re 1.717 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.718 * [taylor]: Taking taylor expansion of re in re 1.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.718 * [taylor]: Taking taylor expansion of re in re 1.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.718 * [taylor]: Taking taylor expansion of im in re 1.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.718 * [taylor]: Taking taylor expansion of im in re 1.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.721 * [taylor]: Taking taylor expansion of re in re 1.722 * [taylor]: Taking taylor expansion of 0 in im 1.722 * [taylor]: Taking taylor expansion of 0 in im 1.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.726 * [taylor]: Taking taylor expansion of 1/2 in im 1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.726 * [taylor]: Taking taylor expansion of im in im 1.731 * [taylor]: Taking taylor expansion of 0 in im 1.732 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.732 * [taylor]: Taking taylor expansion of re in im 1.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.733 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.733 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.733 * [taylor]: Taking taylor expansion of -1 in im 1.733 * [taylor]: Taking taylor expansion of re in im 1.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.733 * [taylor]: Taking taylor expansion of -1 in im 1.733 * [taylor]: Taking taylor expansion of re in im 1.733 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.733 * [taylor]: Taking taylor expansion of -1 in im 1.733 * [taylor]: Taking taylor expansion of im in im 1.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.733 * [taylor]: Taking taylor expansion of -1 in im 1.733 * [taylor]: Taking taylor expansion of im in im 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.736 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.736 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.736 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.736 * [taylor]: Taking taylor expansion of -1 in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.737 * [taylor]: Taking taylor expansion of -1 in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.737 * [taylor]: Taking taylor expansion of -1 in re 1.737 * [taylor]: Taking taylor expansion of im in re 1.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.737 * [taylor]: Taking taylor expansion of -1 in re 1.737 * [taylor]: Taking taylor expansion of im in re 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.740 * [taylor]: Taking taylor expansion of re in re 1.741 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.741 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.741 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.741 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.741 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.741 * [taylor]: Taking taylor expansion of -1 in re 1.741 * [taylor]: Taking taylor expansion of re in re 1.741 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.741 * [taylor]: Taking taylor expansion of -1 in re 1.741 * [taylor]: Taking taylor expansion of re in re 1.741 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.741 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.741 * [taylor]: Taking taylor expansion of -1 in re 1.741 * [taylor]: Taking taylor expansion of im in re 1.741 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.742 * [taylor]: Taking taylor expansion of -1 in re 1.742 * [taylor]: Taking taylor expansion of im in re 1.744 * [taylor]: Taking taylor expansion of 2 in im 1.745 * [taylor]: Taking taylor expansion of 0 in im 1.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.748 * [taylor]: Taking taylor expansion of 1/2 in im 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.748 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of 0 in im 1.755 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.755 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in (im re) around 0 1.755 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in re 1.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.755 * [taylor]: Taking taylor expansion of im in re 1.755 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.755 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.755 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.755 * [taylor]: Taking taylor expansion of (* re re) in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [taylor]: Taking taylor expansion of (* im im) in re 1.755 * [taylor]: Taking taylor expansion of im in re 1.755 * [taylor]: Taking taylor expansion of im in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 1.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.757 * [taylor]: Taking taylor expansion of im in im 1.757 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.757 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.757 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.757 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.757 * [taylor]: Taking taylor expansion of (* re re) in im 1.757 * [taylor]: Taking taylor expansion of re in im 1.757 * [taylor]: Taking taylor expansion of re in im 1.757 * [taylor]: Taking taylor expansion of (* im im) in im 1.757 * [taylor]: Taking taylor expansion of im in im 1.757 * [taylor]: Taking taylor expansion of im in im 1.758 * [taylor]: Taking taylor expansion of re in im 1.760 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 1.760 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.760 * [taylor]: Taking taylor expansion of im in im 1.760 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.760 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.761 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.761 * [taylor]: Taking taylor expansion of (* re re) in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of (* im im) in im 1.761 * [taylor]: Taking taylor expansion of im in im 1.761 * [taylor]: Taking taylor expansion of im in im 1.762 * [taylor]: Taking taylor expansion of re in im 1.764 * [taylor]: Taking taylor expansion of (* 2 re) in re 1.764 * [taylor]: Taking taylor expansion of 2 in re 1.764 * [taylor]: Taking taylor expansion of re in re 1.767 * [taylor]: Taking taylor expansion of 0 in re 1.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 1.771 * [taylor]: Taking taylor expansion of 1/2 in re 1.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.771 * [taylor]: Taking taylor expansion of re in re 1.776 * [taylor]: Taking taylor expansion of 0 in re 1.777 * [approximate]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.777 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 1.777 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 1.777 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.778 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.781 * [taylor]: Taking taylor expansion of im in re 1.787 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.787 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.788 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.788 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.788 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.788 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.788 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.788 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.788 * [taylor]: Taking taylor expansion of re in im 1.788 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.788 * [taylor]: Taking taylor expansion of re in im 1.788 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.788 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.788 * [taylor]: Taking taylor expansion of im in im 1.788 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.788 * [taylor]: Taking taylor expansion of im in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.791 * [taylor]: Taking taylor expansion of re in im 1.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.791 * [taylor]: Taking taylor expansion of im in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.792 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.792 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.792 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.792 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.792 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.793 * [taylor]: Taking taylor expansion of im in im 1.795 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.795 * [taylor]: Taking taylor expansion of re in im 1.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.795 * [taylor]: Taking taylor expansion of im in im 1.799 * [taylor]: Taking taylor expansion of 1 in re 1.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.805 * [taylor]: Taking taylor expansion of 1/2 in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of 0 in re 1.814 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in (im re) around 0 1.814 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in re 1.814 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in re 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.814 * [taylor]: Taking taylor expansion of re in re 1.814 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.814 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.814 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.814 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.814 * [taylor]: Taking taylor expansion of -1 in re 1.814 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.815 * [taylor]: Taking taylor expansion of -1 in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.815 * [taylor]: Taking taylor expansion of -1 in re 1.815 * [taylor]: Taking taylor expansion of im in re 1.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.815 * [taylor]: Taking taylor expansion of -1 in re 1.815 * [taylor]: Taking taylor expansion of im in re 1.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.818 * [taylor]: Taking taylor expansion of im in re 1.818 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 1.818 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.818 * [taylor]: Taking taylor expansion of re in im 1.818 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.818 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.819 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.819 * [taylor]: Taking taylor expansion of -1 in im 1.819 * [taylor]: Taking taylor expansion of re in im 1.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.819 * [taylor]: Taking taylor expansion of -1 in im 1.819 * [taylor]: Taking taylor expansion of re in im 1.819 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.819 * [taylor]: Taking taylor expansion of -1 in im 1.819 * [taylor]: Taking taylor expansion of im in im 1.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.819 * [taylor]: Taking taylor expansion of -1 in im 1.819 * [taylor]: Taking taylor expansion of im in im 1.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.822 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 1.823 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.823 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.823 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.824 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.824 * [taylor]: Taking taylor expansion of -1 in im 1.824 * [taylor]: Taking taylor expansion of re in im 1.824 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.824 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.824 * [taylor]: Taking taylor expansion of -1 in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.824 * [taylor]: Taking taylor expansion of -1 in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.827 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.827 * [taylor]: Taking taylor expansion of im in im 1.828 * [taylor]: Taking taylor expansion of 1 in re 1.829 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.829 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.829 * [taylor]: Taking taylor expansion of re in re 1.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.834 * [taylor]: Taking taylor expansion of 1/2 in re 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.834 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.834 * [taylor]: Taking taylor expansion of re in re 1.839 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.839 * [approximate]: Taking taylor expansion of (/ (- (hypot re im) re) im) in (re im) around 0 1.839 * [taylor]: Taking taylor expansion of (/ (- (hypot re im) re) im) in im 1.839 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.839 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.839 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.839 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.839 * [taylor]: Taking taylor expansion of (* re re) in im 1.839 * [taylor]: Taking taylor expansion of re in im 1.839 * [taylor]: Taking taylor expansion of re in im 1.839 * [taylor]: Taking taylor expansion of (* im im) in im 1.839 * [taylor]: Taking taylor expansion of im in im 1.839 * [taylor]: Taking taylor expansion of im in im 1.841 * [taylor]: Taking taylor expansion of re in im 1.841 * [taylor]: Taking taylor expansion of im in im 1.843 * [taylor]: Taking taylor expansion of (/ (- (hypot re im) re) im) in re 1.843 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.843 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.843 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.843 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.843 * [taylor]: Taking taylor expansion of (* re re) in re 1.843 * [taylor]: Taking taylor expansion of re in re 1.843 * [taylor]: Taking taylor expansion of re in re 1.843 * [taylor]: Taking taylor expansion of (* im im) in re 1.843 * [taylor]: Taking taylor expansion of im in re 1.843 * [taylor]: Taking taylor expansion of im in re 1.844 * [taylor]: Taking taylor expansion of re in re 1.844 * [taylor]: Taking taylor expansion of im in re 1.844 * [taylor]: Taking taylor expansion of (/ (- (hypot re im) re) im) in re 1.844 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.844 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.845 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.845 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.845 * [taylor]: Taking taylor expansion of (* re re) in re 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [taylor]: Taking taylor expansion of (* im im) in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [taylor]: Taking taylor expansion of im in re 1.846 * [taylor]: Taking taylor expansion of 1 in im 1.847 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.847 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.847 * [taylor]: Taking taylor expansion of im in im 1.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.850 * [taylor]: Taking taylor expansion of 1/2 in im 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.850 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.850 * [taylor]: Taking taylor expansion of im in im 1.854 * [approximate]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) im) in (re im) around 0 1.855 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) im) in im 1.855 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.855 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.855 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.855 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.855 * [taylor]: Taking taylor expansion of re in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.855 * [taylor]: Taking taylor expansion of re in im 1.855 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.858 * [taylor]: Taking taylor expansion of re in im 1.858 * [taylor]: Taking taylor expansion of im in im 1.858 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) im) in re 1.858 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.858 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.858 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.858 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.859 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.859 * [taylor]: Taking taylor expansion of im in re 1.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.859 * [taylor]: Taking taylor expansion of im in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.862 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) im) in re 1.862 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.862 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.862 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.865 * [taylor]: Taking taylor expansion of re in re 1.865 * [taylor]: Taking taylor expansion of im in re 1.866 * [taylor]: Taking taylor expansion of 0 in im 1.867 * [taylor]: Taking taylor expansion of 0 in im 1.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.871 * [taylor]: Taking taylor expansion of 1/2 in im 1.871 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.871 * [taylor]: Taking taylor expansion of im in im 1.875 * [taylor]: Taking taylor expansion of 0 in im 1.881 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow im 3)))) in im 1.881 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 3))) in im 1.881 * [taylor]: Taking taylor expansion of 1/8 in im 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.881 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.881 * [taylor]: Taking taylor expansion of im in im 1.889 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im)) in (re im) around 0 1.889 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im)) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im) in im 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.889 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.889 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.889 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.889 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.889 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.889 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.889 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.889 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.892 * [taylor]: Taking taylor expansion of im in im 1.892 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im)) in re 1.892 * [taylor]: Taking taylor expansion of -1 in re 1.892 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im) in re 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.893 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.893 * [taylor]: Taking taylor expansion of -1 in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.893 * [taylor]: Taking taylor expansion of -1 in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.894 * [taylor]: Taking taylor expansion of -1 in re 1.894 * [taylor]: Taking taylor expansion of im in re 1.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.894 * [taylor]: Taking taylor expansion of -1 in re 1.894 * [taylor]: Taking taylor expansion of im in re 1.896 * [taylor]: Taking taylor expansion of im in re 1.896 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im)) in re 1.896 * [taylor]: Taking taylor expansion of -1 in re 1.896 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) im) in re 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.897 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.897 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.897 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.897 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.897 * [taylor]: Taking taylor expansion of -1 in re 1.897 * [taylor]: Taking taylor expansion of re in re 1.897 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.897 * [taylor]: Taking taylor expansion of -1 in re 1.897 * [taylor]: Taking taylor expansion of re in re 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.898 * [taylor]: Taking taylor expansion of -1 in re 1.898 * [taylor]: Taking taylor expansion of im in re 1.898 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.898 * [taylor]: Taking taylor expansion of -1 in re 1.898 * [taylor]: Taking taylor expansion of im in re 1.901 * [taylor]: Taking taylor expansion of im in re 1.901 * [taylor]: Taking taylor expansion of (* -2 im) in im 1.901 * [taylor]: Taking taylor expansion of -2 in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.902 * [taylor]: Taking taylor expansion of 0 in im 1.907 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 im))) in im 1.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.907 * [taylor]: Taking taylor expansion of 1/2 in im 1.907 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.912 * [taylor]: Taking taylor expansion of 0 in im 1.919 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 3))) in im 1.919 * [taylor]: Taking taylor expansion of 1/8 in im 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.919 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.919 * [taylor]: Taking taylor expansion of im in im 1.925 * * * [progress]: simplifying candidates 1.925 * [simplify]: Simplifying using # : (sqrt 2.0) (sqrt (/ im (/ (- (hypot re im) re) im))) (sqrt (* 2.0 im)) (sqrt (/ 1 (/ (- (hypot re im) re) im))) (sqrt (* 2.0 (/ im (- (hypot re im) re)))) (sqrt im) (sqrt (* 2.0 (/ im (- (- (hypot re im) re))))) (sqrt (- im)) (sqrt (* 2.0 (/ im 1))) (sqrt (/ im (- (hypot re im) re))) (sqrt (* 2.0 (/ im (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (* im (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (* 2.0 (/ im (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (* im (+ (hypot re im) re))) (sqrt (/ im (/ (- (hypot re im) re) im))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (/ (- (hypot re im) re) im) im)) (sqrt (* 2.0 im)) (sqrt (/ (- (hypot re im) re) im)) (sqrt (* 2.0 (- im))) (sqrt (- (/ (- (hypot re im) re) im))) (sqrt (* 2.0 1)) (sqrt (/ (/ (- (hypot re im) re) im) im)) (sqrt (* 2.0 (/ im (- (hypot re im) re)))) (sqrt (/ 1 im)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (- re) (- im) (- (/ (- (hypot re im) re) im)) (/ 1 (/ (- (hypot re im) re) im)) (/ (/ (- (hypot re im) re) im) im) (/ im (- (hypot re im) re)) (/ im (- (hypot re im) re)) (/ im (- (- (hypot re im) re))) (/ im 1) (/ im (- (pow (hypot re im) 3) (pow re 3))) (/ im (- (* (hypot re im) (hypot re im)) (* re re))) (- (- (hypot re im) re)) (- im) (/ (hypot re im) im) (/ re im) (/ 1 im) (/ im (- (hypot re im) re)) (* im (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (* im (+ (hypot re im) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) (* 2 re) (+ re im) 0 0 (* 1/2 (/ im re)) (- (+ (* 2 (/ re im)) (* 1/2 (/ im re)))) 1.930 * * [simplify]: iteration 0 : 268 enodes (cost 239 ) 1.935 * * [simplify]: iteration 1 : 943 enodes (cost 228 ) 1.953 * * [simplify]: iteration 2 : 4229 enodes (cost 218 ) 2.036 * * [simplify]: iteration 3 : 5001 enodes (cost 217 ) 2.038 * [simplify]: Simplified to: (sqrt 2.0) (sqrt (/ im (/ (- (hypot re im) re) im))) (sqrt (* 2.0 im)) (sqrt (/ im (- (hypot re im) re))) (sqrt (* 2.0 (/ im (- (hypot re im) re)))) (pow im 1/2) (sqrt (* 2.0 (/ im (- (- (hypot re im) re))))) (sqrt (- im)) (sqrt (* 2.0 im)) (sqrt (/ im (- (hypot re im) re))) (sqrt (* 2.0 (/ im (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (* im (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (* 2.0 (/ im (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (* im (+ (hypot re im) re))) (sqrt (/ im (/ (- (hypot re im) re) im))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (/ (- (hypot re im) re) im) im)) (sqrt (* 2.0 im)) (sqrt (/ (- (hypot re im) re) im)) (sqrt (* 2.0 (- im))) (sqrt (- (/ (- (hypot re im) re) im))) (sqrt 2.0) (sqrt (/ (/ (- (hypot re im) re) im) im)) (sqrt (* 2.0 (/ im (- (hypot re im) re)))) (sqrt (/ 1 im)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (hypot re im) re) (pow re 2)) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (- re) (- im) (- (/ (- (hypot re im) re) im)) (/ im (- (hypot re im) re)) (/ (/ (- (hypot re im) re) im) im) (/ im (- (hypot re im) re)) (/ im (- (hypot re im) re)) (/ im (- (- (hypot re im) re))) im (/ im (- (pow (hypot re im) 3) (pow re 3))) (/ im (- (* (hypot re im) (hypot re im)) (* re re))) (- (- (hypot re im) re)) (- im) (/ (hypot re im) im) (/ re im) (/ 1 im) (/ im (- (hypot re im) re)) (* (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) im) (* im (+ (hypot re im) re)) (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) (* 2 re) (+ re im) 0 0 (* 1/2 (/ im re)) (- (+ (* 2 (/ re im)) (* 1/2 (/ im re)))) 2.038 * * * [progress]: adding candidates to table 2.152 * [progress]: [Phase 3 of 3] Extracting. 2.152 * * [regime]: Finding splitpoints for: (# # # # #) 2.153 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.153 * * * * [regimes]: Trying to branch on im from (# # # # #) 2.184 * * * * [regimes]: Trying to branch on re from (# # # # #) 2.215 * * * [regime]: Found split indices: #