2.876 * [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. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.035 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.036 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.037 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.059 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.070 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.077 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.078 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.081 * [taylor]: Taking taylor expansion of 1/2 in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.092 * [taylor]: Taking taylor expansion of 1 in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of 1/2 in im 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.097 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.099 * [taylor]: Taking taylor expansion of im in im 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.099 * [taylor]: Taking taylor expansion of re in im 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.104 * [taylor]: Taking taylor expansion of im in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.104 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of 1 in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.113 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.113 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of -1 in im 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.118 * [taylor]: Taking taylor expansion of 1/2 in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.124 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.124 * [taylor]: Taking taylor expansion of re in im 0.124 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [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 0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of 0 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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.141 * [taylor]: Taking taylor expansion of 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 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of 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 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.146 * [taylor]: Taking taylor expansion of 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 2 in im 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.153 * [taylor]: Taking taylor expansion of 1/2 in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.163 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.163 * [taylor]: Taking taylor expansion of 2.0 in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.169 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.169 * [taylor]: Taking taylor expansion of 2.0 in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.170 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.171 * [taylor]: Taking taylor expansion of 2.0 in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.174 * [taylor]: Taking taylor expansion of 2.0 in im 0.175 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.179 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.179 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.179 * [taylor]: Taking taylor expansion of 1/2 in im 0.179 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.179 * [taylor]: Taking taylor expansion of 2.0 in im 0.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.201 * [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 0.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.201 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.206 * [taylor]: Taking taylor expansion of 2.0 in re 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.206 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.214 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.214 * [taylor]: Taking taylor expansion of 2.0 in re 0.215 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.215 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of 0 in im 0.223 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.223 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.223 * [taylor]: Taking taylor expansion of +nan.0 in im 0.223 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.223 * [taylor]: Taking taylor expansion of 2.0 in im 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.231 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.231 * [taylor]: Taking taylor expansion of +nan.0 in im 0.231 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.231 * [taylor]: Taking taylor expansion of 2.0 in im 0.232 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.251 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.277 * [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 0.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.277 * [taylor]: Taking taylor expansion of 2.0 in im 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.278 * [taylor]: Taking taylor expansion of re in im 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.278 * [taylor]: Taking taylor expansion of re in im 0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.282 * [taylor]: Taking taylor expansion of 2.0 in re 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.287 * [taylor]: Taking taylor expansion of 2.0 in re 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.288 * [taylor]: Taking taylor expansion of re in re 0.292 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.298 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.298 * [taylor]: Taking taylor expansion of +nan.0 in im 0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.298 * [taylor]: Taking taylor expansion of 2.0 in im 0.306 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.306 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.307 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.307 * [taylor]: Taking taylor expansion of +nan.0 in im 0.307 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.307 * [taylor]: Taking taylor expansion of 2.0 in im 0.307 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.319 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.319 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.319 * [taylor]: Taking taylor expansion of +nan.0 in im 0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.321 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.321 * [taylor]: Taking taylor expansion of +nan.0 in im 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.321 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.337 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.338 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [taylor]: Taking taylor expansion of 1 in im 0.340 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.343 * [taylor]: Taking taylor expansion of im in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.345 * [taylor]: Taking taylor expansion of 1 in im 0.346 * [taylor]: Taking taylor expansion of 0 in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.352 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.354 * [taylor]: Taking taylor expansion of re in im 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.355 * [taylor]: Taking taylor expansion of re in re 0.355 * [taylor]: Taking taylor expansion of 1 in im 0.356 * [taylor]: Taking taylor expansion of 0 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 0.358 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of 0 in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.363 * * * [progress]: simplifying candidates 0.364 * [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))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (- 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) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.367 * * [simplify]: iteration 0 : 200 enodes (cost 174 ) 0.372 * * [simplify]: iteration 1 : 720 enodes (cost 158 ) 0.385 * * [simplify]: iteration 2 : 2450 enodes (cost 146 ) 0.434 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.436 * [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 3) -1 (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (pow im 2) (+ re (hypot re im)) (* -1 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) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.436 * * * [progress]: adding candidates to table 0.511 * * [progress]: iteration 2 / 4 0.511 * * * [progress]: picking best candidate 0.516 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.524 * * * [progress]: generating rewritten candidates 0.524 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.526 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.534 * * * [progress]: generating series expansions 0.534 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.534 * [approximate]: Taking taylor expansion of (- (hypot im re) re) in (im re) around 0 0.534 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in re 0.534 * [taylor]: Taking taylor expansion of (hypot im re) in re 0.534 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.534 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 0.534 * [taylor]: Taking taylor expansion of (* im im) in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [taylor]: Taking taylor expansion of (* re re) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.536 * [taylor]: Taking taylor expansion of re in re 0.536 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.536 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.536 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.536 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.536 * [taylor]: Taking taylor expansion of (* im im) in im 0.536 * [taylor]: Taking taylor expansion of im in im 0.536 * [taylor]: Taking taylor expansion of im in im 0.536 * [taylor]: Taking taylor expansion of (* re re) in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.537 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.537 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.537 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.537 * [taylor]: Taking taylor expansion of (* im im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.538 * [taylor]: Taking taylor expansion of im in im 0.538 * [taylor]: Taking taylor expansion of (* re re) in im 0.538 * [taylor]: Taking taylor expansion of re in im 0.538 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of 0 in re 0.539 * [taylor]: Taking taylor expansion of 0 in re 0.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 0.541 * [taylor]: Taking taylor expansion of 1/2 in re 0.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.542 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in (im re) around 0 0.542 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in re 0.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re 0.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.543 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in re 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.546 * [taylor]: Taking taylor expansion of re in re 0.546 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 0.546 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.546 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.547 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.547 * [taylor]: Taking taylor expansion of re in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.547 * [taylor]: Taking taylor expansion of re in im 0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.550 * [taylor]: Taking taylor expansion of re in im 0.550 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 0.550 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.550 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.550 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.551 * [taylor]: Taking taylor expansion of re in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.551 * [taylor]: Taking taylor expansion of re in im 0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.553 * [taylor]: Taking taylor expansion of re in im 0.553 * [taylor]: Taking taylor expansion of 1 in re 0.554 * [taylor]: Taking taylor expansion of (- (/ 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 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.557 * [taylor]: Taking taylor expansion of 1/2 in re 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.557 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of 0 in re 0.565 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in (im re) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 0.565 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 0.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.565 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 0.565 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.565 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.565 * [taylor]: Taking taylor expansion of -1 in re 0.565 * [taylor]: Taking taylor expansion of im in re 0.565 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.565 * [taylor]: Taking taylor expansion of -1 in re 0.565 * [taylor]: Taking taylor expansion of im in re 0.565 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.565 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.565 * [taylor]: Taking taylor expansion of -1 in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.565 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.565 * [taylor]: Taking taylor expansion of -1 in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.569 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.569 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [taylor]: Taking taylor expansion of re in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [taylor]: Taking taylor expansion of re in im 0.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.572 * [taylor]: Taking taylor expansion of re in im 0.572 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.572 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.573 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.573 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of re in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of re in im 0.576 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.576 * [taylor]: Taking taylor expansion of re in im 0.576 * [taylor]: Taking taylor expansion of 1 in re 0.576 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.579 * [taylor]: Taking taylor expansion of 1/2 in re 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.584 * [taylor]: Taking taylor expansion of 0 in re 0.586 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.586 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in (im re) around 0 0.586 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in re 0.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.587 * [taylor]: Taking taylor expansion of 2.0 in re 0.587 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in re 0.587 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in re 0.587 * [taylor]: Taking taylor expansion of (hypot im re) in re 0.587 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.587 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 0.587 * [taylor]: Taking taylor expansion of (* im im) in re 0.587 * [taylor]: Taking taylor expansion of im in re 0.587 * [taylor]: Taking taylor expansion of im in re 0.587 * [taylor]: Taking taylor expansion of (* re re) in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.589 * [taylor]: Taking taylor expansion of re in re 0.590 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in im 0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.590 * [taylor]: Taking taylor expansion of 2.0 in im 0.590 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in im 0.590 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.590 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.590 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.590 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.591 * [taylor]: Taking taylor expansion of (* im im) in im 0.591 * [taylor]: Taking taylor expansion of im in im 0.591 * [taylor]: Taking taylor expansion of im in im 0.591 * [taylor]: Taking taylor expansion of (* re re) in im 0.591 * [taylor]: Taking taylor expansion of re in im 0.591 * [taylor]: Taking taylor expansion of re in im 0.592 * [taylor]: Taking taylor expansion of re in im 0.596 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in im 0.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.596 * [taylor]: Taking taylor expansion of 2.0 in im 0.597 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in im 0.597 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.597 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.597 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.597 * [taylor]: Taking taylor expansion of (* im im) in im 0.597 * [taylor]: Taking taylor expansion of im in im 0.597 * [taylor]: Taking taylor expansion of im in im 0.597 * [taylor]: Taking taylor expansion of (* re re) in im 0.597 * [taylor]: Taking taylor expansion of re in im 0.597 * [taylor]: Taking taylor expansion of re in im 0.599 * [taylor]: Taking taylor expansion of re in im 0.603 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.603 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.603 * [taylor]: Taking taylor expansion of 2.0 in re 0.604 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.604 * [taylor]: Taking taylor expansion of 1/2 in re 0.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.605 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of 0 in re 0.629 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 0.629 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 0.629 * [taylor]: Taking taylor expansion of 1/16 in re 0.629 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 0.630 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 0.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.630 * [taylor]: Taking taylor expansion of 2.0 in re 0.630 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.630 * [taylor]: Taking taylor expansion of 1/2 in re 0.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 0.632 * [taylor]: Taking taylor expansion of (pow re 5) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.669 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in (im re) around 0 0.669 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in re 0.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.670 * [taylor]: Taking taylor expansion of 2.0 in re 0.670 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in re 0.670 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in re 0.670 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re 0.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in re 0.671 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.679 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in im 0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.679 * [taylor]: Taking taylor expansion of 2.0 in im 0.680 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in im 0.680 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 0.680 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.680 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.681 * [taylor]: Taking taylor expansion of re in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.681 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.685 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in im 0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.685 * [taylor]: Taking taylor expansion of 2.0 in im 0.686 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in im 0.686 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 0.686 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.686 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.686 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.686 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.689 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of 0 in re 0.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.692 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.692 * [taylor]: Taking taylor expansion of +nan.0 in re 0.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.692 * [taylor]: Taking taylor expansion of 2.0 in re 0.698 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.698 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.698 * [taylor]: Taking taylor expansion of +nan.0 in re 0.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.698 * [taylor]: Taking taylor expansion of 2.0 in re 0.699 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.699 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.699 * [taylor]: Taking taylor expansion of +nan.0 in re 0.699 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.699 * [taylor]: Taking taylor expansion of 2.0 in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.715 * [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 0.715 * [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 0.715 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.715 * [taylor]: Taking taylor expansion of +nan.0 in re 0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.715 * [taylor]: Taking taylor expansion of 2.0 in re 0.716 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.716 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.716 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.716 * [taylor]: Taking taylor expansion of +nan.0 in re 0.716 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.716 * [taylor]: Taking taylor expansion of 2.0 in re 0.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.717 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.717 * [taylor]: Taking taylor expansion of +nan.0 in re 0.717 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.717 * [taylor]: Taking taylor expansion of 2.0 in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.730 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in (im re) around 0 0.730 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in re 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.730 * [taylor]: Taking taylor expansion of 2.0 in re 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in re 0.731 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 0.731 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.732 * [taylor]: Taking taylor expansion of -1 in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in im 0.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.736 * [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 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.737 * [taylor]: Taking taylor expansion of -1 in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.737 * [taylor]: Taking taylor expansion of -1 in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.737 * [taylor]: Taking taylor expansion of -1 in im 0.737 * [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 0.740 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.740 * [taylor]: Taking taylor expansion of re in im 0.741 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in im 0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.741 * [taylor]: Taking taylor expansion of 2.0 in im 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 0.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.742 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.742 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.742 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.742 * [taylor]: Taking taylor expansion of -1 in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.743 * [taylor]: Taking taylor expansion of -1 in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.743 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.743 * [taylor]: Taking taylor expansion of -1 in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.743 * [taylor]: Taking taylor expansion of -1 in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.748 * [taylor]: Taking taylor expansion of 0 in re 0.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.749 * [taylor]: Taking taylor expansion of +nan.0 in re 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.749 * [taylor]: Taking taylor expansion of 2.0 in re 0.752 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.752 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.752 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.752 * [taylor]: Taking taylor expansion of +nan.0 in re 0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.752 * [taylor]: Taking taylor expansion of 2.0 in re 0.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.753 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.753 * [taylor]: Taking taylor expansion of +nan.0 in re 0.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.753 * [taylor]: Taking taylor expansion of 2.0 in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.767 * [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 0.767 * [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 0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.767 * [taylor]: Taking taylor expansion of +nan.0 in re 0.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.767 * [taylor]: Taking taylor expansion of 2.0 in re 0.767 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.767 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.767 * [taylor]: Taking taylor expansion of +nan.0 in re 0.767 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) 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 0.768 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.769 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.769 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.769 * [taylor]: Taking taylor expansion of +nan.0 in re 0.769 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) 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 re in re 0.783 * * * [progress]: simplifying candidates 0.783 * [simplify]: Simplifying using # : (- (pow (hypot im re) 3) (pow re 3)) (+ (* (hypot im re) (hypot im re)) (+ (* re re) (* (hypot im re) re))) (- re) (- (* (hypot im re) (hypot im re)) (* re re)) (+ (hypot im re) 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)) 0 (- im re) (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 0.786 * * [simplify]: iteration 0 : 185 enodes (cost 107 ) 0.790 * * [simplify]: iteration 1 : 552 enodes (cost 98 ) 0.802 * * [simplify]: iteration 2 : 2288 enodes (cost 92 ) 0.848 * * [simplify]: iteration 3 : 5001 enodes (cost 91 ) 0.853 * [simplify]: Simplified to: (- (pow (hypot im re) 3) (pow re 3)) (fma (hypot im re) (+ (hypot im re) re) (* re re)) (- re) (- (* (hypot im re) (hypot im re)) (* re re)) (+ (hypot im re) 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)) 0 (- im re) (- (+ re im)) (fma (- (* +nan.0 (sqrt 2.0))) (* (sqrt 1/2) (* im re)) (* +nan.0 (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) 0.853 * * * [progress]: adding candidates to table 0.889 * * [progress]: iteration 3 / 4 0.890 * * * [progress]: picking best candidate 0.894 * * * * [pick]: Picked # 0.894 * * * [progress]: localizing error 0.902 * * * [progress]: generating rewritten candidates 0.902 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.904 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.908 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.910 * [approximate]: Taking taylor expansion of (- (hypot im re) re) in (im re) around 0 0.910 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in re 0.910 * [taylor]: Taking taylor expansion of (hypot im re) in re 0.910 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.910 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 0.910 * [taylor]: Taking taylor expansion of (* im im) in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [taylor]: Taking taylor expansion of (* re re) in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.912 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.912 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.912 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.912 * [taylor]: Taking taylor expansion of (* im im) in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.912 * [taylor]: Taking taylor expansion of (* re re) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.913 * [taylor]: Taking taylor expansion of re in im 0.913 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.913 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.913 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.913 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.913 * [taylor]: Taking taylor expansion of (* im im) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [taylor]: Taking taylor expansion of (* re re) in im 0.913 * [taylor]: Taking taylor expansion of re in im 0.913 * [taylor]: Taking taylor expansion of re in im 0.914 * [taylor]: Taking taylor expansion of re in im 0.914 * [taylor]: Taking taylor expansion of 0 in re 0.915 * [taylor]: Taking taylor expansion of 0 in re 0.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 0.917 * [taylor]: Taking taylor expansion of 1/2 in re 0.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.917 * [taylor]: Taking taylor expansion of re in re 0.918 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in (im re) around 0 0.918 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in re 0.918 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re 0.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.918 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in re 0.918 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.918 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.918 * [taylor]: Taking taylor expansion of im in re 0.918 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.918 * [taylor]: Taking taylor expansion of im in re 0.918 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.918 * [taylor]: Taking taylor expansion of re in re 0.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.918 * [taylor]: Taking taylor expansion of re in re 0.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.925 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 0.925 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.925 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.925 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.925 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.926 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.926 * [taylor]: Taking taylor expansion of re in im 0.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.926 * [taylor]: Taking taylor expansion of re in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.929 * [taylor]: Taking taylor expansion of re in im 0.929 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 0.929 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 0.929 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 0.929 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 0.929 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.929 * [taylor]: Taking taylor expansion of re in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.929 * [taylor]: Taking taylor expansion of re in im 0.932 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.932 * [taylor]: Taking taylor expansion of re in im 0.932 * [taylor]: Taking taylor expansion of 1 in re 0.933 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.936 * [taylor]: Taking taylor expansion of 1/2 in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of 0 in re 0.944 * [approximate]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in (im re) around 0 0.944 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 0.944 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 0.944 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.944 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 0.944 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.944 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.944 * [taylor]: Taking taylor expansion of -1 in re 0.944 * [taylor]: Taking taylor expansion of im in re 0.944 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.944 * [taylor]: Taking taylor expansion of -1 in re 0.944 * [taylor]: Taking taylor expansion of im in re 0.944 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.944 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.944 * [taylor]: Taking taylor expansion of -1 in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.944 * [taylor]: Taking taylor expansion of -1 in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.948 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.948 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.948 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 0.948 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.948 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.948 * [taylor]: Taking taylor expansion of -1 in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.948 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.948 * [taylor]: Taking taylor expansion of -1 in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.948 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.948 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.948 * [taylor]: Taking taylor expansion of -1 in im 0.948 * [taylor]: Taking taylor expansion of re in im 0.948 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.948 * [taylor]: Taking taylor expansion of -1 in im 0.948 * [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 (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 0.951 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 0.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 0.951 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 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 -1 in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.952 * [taylor]: Taking taylor expansion of -1 in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.952 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.952 * [taylor]: Taking taylor expansion of -1 in im 0.952 * [taylor]: Taking taylor expansion of re in im 0.952 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.952 * [taylor]: Taking taylor expansion of -1 in im 0.952 * [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 in re 0.955 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.955 * [taylor]: Taking taylor expansion of re in re 0.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.958 * [taylor]: Taking taylor expansion of 1/2 in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.963 * [taylor]: Taking taylor expansion of 0 in re 0.965 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.966 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in (im re) around 0 0.966 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in re 0.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.966 * [taylor]: Taking taylor expansion of 2.0 in re 0.967 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in re 0.967 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in re 0.967 * [taylor]: Taking taylor expansion of (hypot im re) in re 0.967 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.967 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 0.967 * [taylor]: Taking taylor expansion of (* im im) in re 0.967 * [taylor]: Taking taylor expansion of im in re 0.967 * [taylor]: Taking taylor expansion of im in re 0.967 * [taylor]: Taking taylor expansion of (* re re) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.969 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in im 0.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.969 * [taylor]: Taking taylor expansion of 2.0 in im 0.970 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in im 0.970 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.970 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.970 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.970 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.970 * [taylor]: Taking taylor expansion of (* im im) in im 0.970 * [taylor]: Taking taylor expansion of im in im 0.970 * [taylor]: Taking taylor expansion of im in im 0.970 * [taylor]: Taking taylor expansion of (* re re) in im 0.970 * [taylor]: Taking taylor expansion of re in im 0.970 * [taylor]: Taking taylor expansion of re in im 0.971 * [taylor]: Taking taylor expansion of re in im 0.975 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot im re) re))) in im 0.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.975 * [taylor]: Taking taylor expansion of 2.0 in im 0.976 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in im 0.976 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 0.976 * [taylor]: Taking taylor expansion of (hypot im re) in im 0.976 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 0.976 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 0.976 * [taylor]: Taking taylor expansion of (* im im) in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.976 * [taylor]: Taking taylor expansion of (* re re) in im 0.976 * [taylor]: Taking taylor expansion of re in im 0.976 * [taylor]: Taking taylor expansion of re in im 0.977 * [taylor]: Taking taylor expansion of re in im 0.982 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.982 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.982 * [taylor]: Taking taylor expansion of 2.0 in re 0.982 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.982 * [taylor]: Taking taylor expansion of 1/2 in re 0.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.983 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of 0 in re 1.004 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.005 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.005 * [taylor]: Taking taylor expansion of 1/16 in re 1.005 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.005 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.005 * [taylor]: Taking taylor expansion of 2.0 in re 1.008 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.008 * [taylor]: Taking taylor expansion of 1/2 in re 1.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.010 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.010 * [taylor]: Taking taylor expansion of re in re 1.047 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in (im re) around 0 1.047 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in re 1.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.047 * [taylor]: Taking taylor expansion of 2.0 in re 1.048 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in re 1.048 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in re 1.048 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re 1.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 1.048 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in re 1.048 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.048 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.048 * [taylor]: Taking taylor expansion of im in re 1.048 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.048 * [taylor]: Taking taylor expansion of im in re 1.048 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.048 * [taylor]: Taking taylor expansion of re in re 1.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.049 * [taylor]: Taking taylor expansion of re in re 1.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.051 * [taylor]: Taking taylor expansion of re in re 1.057 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in im 1.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.057 * [taylor]: Taking taylor expansion of 2.0 in im 1.057 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in im 1.057 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 1.057 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 1.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 1.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 1.058 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.058 * [taylor]: Taking taylor expansion of im in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.058 * [taylor]: Taking taylor expansion of im in im 1.058 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.058 * [taylor]: Taking taylor expansion of re in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.058 * [taylor]: Taking taylor expansion of re in im 1.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.061 * [taylor]: Taking taylor expansion of re in im 1.062 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)))) in im 1.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.062 * [taylor]: Taking taylor expansion of 2.0 in im 1.063 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in im 1.063 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 1.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 1.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 1.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 1.063 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.063 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.063 * [taylor]: Taking taylor expansion of im in im 1.064 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.064 * [taylor]: Taking taylor expansion of im in im 1.064 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.064 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.064 * [taylor]: Taking taylor expansion of re in im 1.064 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.064 * [taylor]: Taking taylor expansion of re in im 1.066 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.066 * [taylor]: Taking taylor expansion of re in im 1.068 * [taylor]: Taking taylor expansion of 0 in re 1.069 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.069 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.069 * [taylor]: Taking taylor expansion of +nan.0 in re 1.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.070 * [taylor]: Taking taylor expansion of 2.0 in re 1.075 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.075 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.075 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.075 * [taylor]: Taking taylor expansion of +nan.0 in re 1.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.075 * [taylor]: Taking taylor expansion of 2.0 in re 1.076 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.076 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.076 * [taylor]: Taking taylor expansion of +nan.0 in re 1.076 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.076 * [taylor]: Taking taylor expansion of 2.0 in re 1.076 * [taylor]: Taking taylor expansion of re in re 1.091 * [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 1.091 * [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 1.091 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.091 * [taylor]: Taking taylor expansion of +nan.0 in re 1.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.091 * [taylor]: Taking taylor expansion of 2.0 in re 1.092 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.092 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.092 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.092 * [taylor]: Taking taylor expansion of +nan.0 in re 1.092 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.092 * [taylor]: Taking taylor expansion of 2.0 in re 1.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.094 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.094 * [taylor]: Taking taylor expansion of +nan.0 in re 1.094 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.094 * [taylor]: Taking taylor expansion of 2.0 in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.107 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in (im re) around 0 1.107 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in re 1.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.107 * [taylor]: Taking taylor expansion of 2.0 in re 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in re 1.107 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 1.108 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 1.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 1.108 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 1.108 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.108 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.108 * [taylor]: Taking taylor expansion of -1 in re 1.108 * [taylor]: Taking taylor expansion of im in re 1.108 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.108 * [taylor]: Taking taylor expansion of -1 in re 1.108 * [taylor]: Taking taylor expansion of im in re 1.108 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.108 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.108 * [taylor]: Taking taylor expansion of -1 in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.108 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.108 * [taylor]: Taking taylor expansion of -1 in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.111 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.111 * [taylor]: Taking taylor expansion of re in re 1.113 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in im 1.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.113 * [taylor]: Taking taylor expansion of 2.0 in im 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 1.113 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 1.113 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 1.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 1.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 1.114 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.114 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.114 * [taylor]: Taking taylor expansion of -1 in im 1.114 * [taylor]: Taking taylor expansion of im in im 1.114 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.114 * [taylor]: Taking taylor expansion of -1 in im 1.114 * [taylor]: Taking taylor expansion of im in im 1.114 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.114 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.114 * [taylor]: Taking taylor expansion of -1 in im 1.114 * [taylor]: Taking taylor expansion of re in im 1.114 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.114 * [taylor]: Taking taylor expansion of -1 in im 1.114 * [taylor]: Taking taylor expansion of re in im 1.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.117 * [taylor]: Taking taylor expansion of re in im 1.118 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)))) in im 1.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.118 * [taylor]: Taking taylor expansion of 2.0 in im 1.119 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 1.119 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 1.119 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 1.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 1.119 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 1.119 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.119 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.119 * [taylor]: Taking taylor expansion of -1 in im 1.119 * [taylor]: Taking taylor expansion of im in im 1.119 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.120 * [taylor]: Taking taylor expansion of -1 in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.120 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.120 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.120 * [taylor]: Taking taylor expansion of -1 in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.120 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.120 * [taylor]: Taking taylor expansion of -1 in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.123 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of 0 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 (sqrt 2.0)) in re 1.125 * [taylor]: Taking taylor expansion of +nan.0 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 1.128 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.128 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.128 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.128 * [taylor]: Taking taylor expansion of +nan.0 in re 1.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.128 * [taylor]: Taking taylor expansion of 2.0 in re 1.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.129 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.129 * [taylor]: Taking taylor expansion of +nan.0 in re 1.129 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.129 * [taylor]: Taking taylor expansion of 2.0 in re 1.130 * [taylor]: Taking taylor expansion of re in re 1.143 * [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 1.143 * [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 1.143 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.143 * [taylor]: Taking taylor expansion of +nan.0 in re 1.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.143 * [taylor]: Taking taylor expansion of 2.0 in re 1.143 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.143 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.143 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.143 * [taylor]: Taking taylor expansion of +nan.0 in re 1.144 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.144 * [taylor]: Taking taylor expansion of 2.0 in re 1.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.144 * [taylor]: Taking taylor expansion of re in re 1.145 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.145 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.145 * [taylor]: Taking taylor expansion of +nan.0 in re 1.145 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.145 * [taylor]: Taking taylor expansion of 2.0 in re 1.146 * [taylor]: Taking taylor expansion of re in re 1.158 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.159 * [approximate]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in (im re) around 0 1.159 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in re 1.159 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in re 1.159 * [taylor]: Taking taylor expansion of (hypot im re) in re 1.159 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 1.159 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in re 1.159 * [taylor]: Taking taylor expansion of (* im im) in re 1.159 * [taylor]: Taking taylor expansion of im in re 1.159 * [taylor]: Taking taylor expansion of im in re 1.159 * [taylor]: Taking taylor expansion of (* re re) in re 1.159 * [taylor]: Taking taylor expansion of re in re 1.159 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.161 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in im 1.161 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 1.161 * [taylor]: Taking taylor expansion of (hypot im re) in im 1.161 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 1.161 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 1.161 * [taylor]: Taking taylor expansion of (* im im) in im 1.161 * [taylor]: Taking taylor expansion of im in im 1.161 * [taylor]: Taking taylor expansion of im in im 1.161 * [taylor]: Taking taylor expansion of (* re re) in im 1.161 * [taylor]: Taking taylor expansion of re in im 1.161 * [taylor]: Taking taylor expansion of re in im 1.162 * [taylor]: Taking taylor expansion of re in im 1.166 * [taylor]: Taking taylor expansion of (sqrt (- (hypot im re) re)) in im 1.166 * [taylor]: Taking taylor expansion of (- (hypot im re) re) in im 1.166 * [taylor]: Taking taylor expansion of (hypot im re) in im 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* im im) (* re re))) 1.166 * [taylor]: Taking taylor expansion of (+ (* im im) (* re re)) in im 1.166 * [taylor]: Taking taylor expansion of (* im im) in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of (* re re) in im 1.167 * [taylor]: Taking taylor expansion of re in im 1.167 * [taylor]: Taking taylor expansion of re in im 1.168 * [taylor]: Taking taylor expansion of re in im 1.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (sqrt 1/2)) in re 1.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.172 * [taylor]: Taking taylor expansion of re in re 1.176 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.176 * [taylor]: Taking taylor expansion of 1/2 in re 1.179 * [taylor]: Taking taylor expansion of 0 in re 1.188 * [taylor]: Taking taylor expansion of (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) in re 1.188 * [taylor]: Taking taylor expansion of -1/16 in re 1.188 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))) in re 1.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.188 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.188 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 1/2)) in re 1.190 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.190 * [taylor]: Taking taylor expansion of 1/2 in re 1.219 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in (im re) around 0 1.219 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in re 1.219 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in re 1.219 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re 1.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 1.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 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 1.220 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.220 * [taylor]: Taking taylor expansion of im in re 1.220 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.228 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in im 1.228 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 1.228 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 1.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 1.228 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 1.228 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.228 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.228 * [taylor]: Taking taylor expansion of im in im 1.228 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.228 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.229 * [taylor]: Taking taylor expansion of re in im 1.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.229 * [taylor]: Taking taylor expansion of re in im 1.231 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.231 * [taylor]: Taking taylor expansion of re in im 1.233 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re))) in im 1.233 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 im) (/ 1 re)) (/ 1 re)) in im 1.233 * [taylor]: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im 1.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) 1.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))) in im 1.233 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.233 * [taylor]: Taking taylor expansion of re in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.233 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.236 * [taylor]: Taking taylor expansion of re in im 1.237 * [taylor]: Taking taylor expansion of 0 in re 1.237 * [taylor]: Taking taylor expansion of +nan.0 in re 1.238 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 re) (- +nan.0))) in re 1.238 * [taylor]: Taking taylor expansion of +nan.0 in re 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (- +nan.0)) in re 1.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.238 * [taylor]: Taking taylor expansion of re in re 1.238 * [taylor]: Taking taylor expansion of (- +nan.0) in re 1.239 * [taylor]: Taking taylor expansion of +nan.0 in re 1.245 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re 1.245 * [taylor]: Taking taylor expansion of +nan.0 in re 1.245 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re 1.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.245 * [taylor]: Taking taylor expansion of 1/2 in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 re)) (- +nan.0)) in re 1.245 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 re)) in re 1.245 * [taylor]: Taking taylor expansion of +nan.0 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 (- +nan.0) in re 1.246 * [taylor]: Taking taylor expansion of +nan.0 in re 1.258 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in (im re) around 0 1.258 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in re 1.258 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in re 1.259 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re 1.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 1.259 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in re 1.259 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.259 * [taylor]: Taking taylor expansion of -1 in re 1.259 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.259 * [taylor]: Taking taylor expansion of -1 in re 1.259 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.259 * [taylor]: Taking taylor expansion of -1 in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.259 * [taylor]: Taking taylor expansion of -1 in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.262 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 1.264 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 1.264 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 1.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 1.264 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 1.264 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.264 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.264 * [taylor]: Taking taylor expansion of -1 in im 1.264 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.264 * [taylor]: Taking taylor expansion of -1 in im 1.264 * [taylor]: Taking taylor expansion of im in im 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re))) in im 1.269 * [taylor]: Taking taylor expansion of (+ (hypot (/ -1 im) (/ -1 re)) (/ 1 re)) in im 1.269 * [taylor]: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in im 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re)))) 1.269 * [taylor]: Taking taylor expansion of (+ (* (/ -1 im) (/ -1 im)) (* (/ -1 re) (/ -1 re))) in im 1.269 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.269 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.269 * [taylor]: Taking taylor expansion of -1 in im 1.269 * [taylor]: Taking taylor expansion of im in im 1.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.270 * [taylor]: Taking taylor expansion of -1 in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.270 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.270 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.270 * [taylor]: Taking taylor expansion of -1 in im 1.270 * [taylor]: Taking taylor expansion of re in im 1.270 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.270 * [taylor]: Taking taylor expansion of -1 in im 1.270 * [taylor]: Taking taylor expansion of re in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.274 * [taylor]: Taking taylor expansion of 0 in re 1.274 * [taylor]: Taking taylor expansion of +nan.0 in re 1.275 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 re) +nan.0)) in re 1.275 * [taylor]: Taking taylor expansion of +nan.0 in re 1.275 * [taylor]: Taking taylor expansion of (- (/ 1 re) +nan.0) in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.276 * [taylor]: Taking taylor expansion of +nan.0 in re 1.279 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re 1.279 * [taylor]: Taking taylor expansion of +nan.0 in re 1.279 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re 1.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.279 * [taylor]: Taking taylor expansion of 1/2 in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 re)) (- +nan.0)) in re 1.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 re)) in re 1.280 * [taylor]: Taking taylor expansion of +nan.0 in re 1.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of (- +nan.0) in re 1.280 * [taylor]: Taking taylor expansion of +nan.0 in re 1.285 * * * [progress]: simplifying candidates 1.286 * [simplify]: Simplifying using # : (- (pow (hypot im re) 3) (pow re 3)) (+ (* (hypot im re) (hypot im re)) (+ (* re re) (* (hypot im re) re))) (- re) (- (* (hypot im re) (hypot im re)) (* re re)) (+ (hypot im re) re) (- re) (* (- (hypot im re) re) 2.0) (* (- (hypot im re) re) 2.0) (* (sqrt (- (pow (hypot im re) 3) (pow re 3))) (sqrt 2.0)) (* (sqrt (- (* (hypot im re) (hypot im re)) (* re re))) (sqrt 2.0)) (sqrt (- (pow (hypot im re) 3) (pow re 3))) (sqrt (+ (* (hypot im re) (hypot im re)) (+ (* re re) (* (hypot im re) re)))) (sqrt (- (* (hypot im re) (hypot im re)) (* re re))) (sqrt (+ (hypot im re) re)) 0 (- im re) (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (pow im 3) (sqrt 1/2))) (- (+ (* +nan.0 (* (sqrt 1/2) im)) (- (* +nan.0 (* re (* (sqrt 1/2) im)))))))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 im)) (- +nan.0))))) (- (+ (* +nan.0 (/ re (pow im 2))) (- (+ (* +nan.0 (/ re im)) (- +nan.0))))) 1.289 * * [simplify]: iteration 0 : 272 enodes (cost 154 ) 1.294 * * [simplify]: iteration 1 : 842 enodes (cost 135 ) 1.313 * * [simplify]: iteration 2 : 4273 enodes (cost 125 ) 1.417 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 1.419 * [simplify]: Simplified to: (- (pow (hypot im re) 3) (pow re 3)) (fma (hypot im re) (+ (hypot im re) re) (* re re)) (- re) (- (* (hypot im re) (hypot im re)) (* re re)) (+ (hypot im re) re) (- re) (* (- (hypot im re) re) 2.0) (* (- (hypot im re) re) 2.0) (* (sqrt (- (pow (hypot im re) 3) (pow re 3))) (sqrt 2.0)) (* (sqrt (- (* (hypot im re) (hypot im re)) (* re re))) (sqrt 2.0)) (sqrt (- (pow (hypot im re) 3) (pow re 3))) (sqrt (+ (* (hypot im re) (hypot im re)) (+ (* re re) (* (hypot im re) re)))) (sqrt (- (* (hypot im re) (hypot im re)) (* re re))) (sqrt (+ (hypot im re) re)) 0 (- im re) (- (+ re im)) (fma (- (* +nan.0 (sqrt 2.0))) (* (sqrt 1/2) (* im re)) (* +nan.0 (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (fma (- +nan.0) (/ (pow im 3) (sqrt 1/2)) (* (* (sqrt 1/2) im) (- +nan.0 (* +nan.0 re)))) (- (- (/ +nan.0 im) +nan.0) (/ +nan.0 (pow im 2))) (fma (- +nan.0) (/ re (pow im 2)) (fma +nan.0 (/ re im) (- +nan.0))) 1.419 * * * [progress]: adding candidates to table 1.480 * * [progress]: iteration 4 / 4 1.480 * * * [progress]: picking best candidate 1.482 * * * * [pick]: Picked # 1.482 * * * [progress]: localizing error 1.493 * * * [progress]: generating rewritten candidates 1.493 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.510 * * * [progress]: generating series expansions 1.510 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.510 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in (im re) around 0 1.510 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in re 1.510 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.510 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.510 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.510 * [taylor]: Taking taylor expansion of (* re re) in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of (* im im) in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.512 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in im 1.512 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.512 * [taylor]: Taking taylor expansion of im in im 1.512 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.512 * [taylor]: Taking taylor expansion of re in im 1.512 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.512 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.512 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.512 * [taylor]: Taking taylor expansion of (* re re) in im 1.512 * [taylor]: Taking taylor expansion of re in im 1.512 * [taylor]: Taking taylor expansion of re in im 1.512 * [taylor]: Taking taylor expansion of (* im im) in im 1.512 * [taylor]: Taking taylor expansion of im in im 1.512 * [taylor]: Taking taylor expansion of im in im 1.513 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in im 1.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.513 * [taylor]: Taking taylor expansion of im in im 1.513 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.513 * [taylor]: Taking taylor expansion of re in im 1.513 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.514 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.514 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.514 * [taylor]: Taking taylor expansion of (* re re) in im 1.514 * [taylor]: Taking taylor expansion of re in im 1.514 * [taylor]: Taking taylor expansion of re in im 1.514 * [taylor]: Taking taylor expansion of (* im im) in im 1.514 * [taylor]: Taking taylor expansion of im in im 1.514 * [taylor]: Taking taylor expansion of im in im 1.515 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.515 * [taylor]: Taking taylor expansion of 1/2 in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.517 * [taylor]: Taking taylor expansion of 0 in re 1.519 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 1.519 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 1.519 * [taylor]: Taking taylor expansion of 1/8 in re 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.519 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.526 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.526 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 1.526 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 1.526 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.526 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.526 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.526 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.526 * [taylor]: Taking taylor expansion of re in re 1.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.526 * [taylor]: Taking taylor expansion of re in re 1.526 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.526 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.526 * [taylor]: Taking taylor expansion of im in re 1.526 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.526 * [taylor]: Taking taylor expansion of im in re 1.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.529 * [taylor]: Taking taylor expansion of re in re 1.529 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.529 * [taylor]: Taking taylor expansion of im in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.530 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.530 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.530 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.530 * [taylor]: Taking taylor expansion of re in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.530 * [taylor]: Taking taylor expansion of re in im 1.530 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.530 * [taylor]: Taking taylor expansion of im in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.530 * [taylor]: Taking taylor expansion of im in im 1.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.536 * [taylor]: Taking taylor expansion of re in im 1.536 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.536 * [taylor]: Taking taylor expansion of im in im 1.537 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.537 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.538 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.538 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.538 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.538 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.538 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.538 * [taylor]: Taking taylor expansion of re in im 1.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.538 * [taylor]: Taking taylor expansion of re in im 1.538 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.538 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.538 * [taylor]: Taking taylor expansion of im in im 1.538 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.538 * [taylor]: Taking taylor expansion of im in im 1.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.541 * [taylor]: Taking taylor expansion of re in im 1.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.542 * [taylor]: Taking taylor expansion of 1 in re 1.543 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.543 * [taylor]: Taking taylor expansion of re in re 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.548 * [taylor]: Taking taylor expansion of 1/2 in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.548 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.553 * [approximate]: Taking taylor expansion of (/ 1 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.553 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in re 1.553 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2)) in re 1.553 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.553 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.553 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.553 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.553 * [taylor]: Taking taylor expansion of -1 in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.553 * [taylor]: Taking taylor expansion of -1 in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.554 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.554 * [taylor]: Taking taylor expansion of -1 in re 1.554 * [taylor]: Taking taylor expansion of im in re 1.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.554 * [taylor]: Taking taylor expansion of -1 in re 1.554 * [taylor]: Taking taylor expansion of im in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.563 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in im 1.563 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2)) in im 1.563 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.563 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.563 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.563 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.563 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.563 * [taylor]: Taking taylor expansion of -1 in im 1.563 * [taylor]: Taking taylor expansion of re in im 1.563 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.563 * [taylor]: Taking taylor expansion of -1 in im 1.563 * [taylor]: Taking taylor expansion of re in im 1.563 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.563 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.563 * [taylor]: Taking taylor expansion of -1 in im 1.563 * [taylor]: Taking taylor expansion of im in im 1.564 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.564 * [taylor]: Taking taylor expansion of -1 in im 1.564 * [taylor]: Taking taylor expansion of im in im 1.566 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.566 * [taylor]: Taking taylor expansion of re in im 1.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.567 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in im 1.567 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2)) in im 1.568 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.568 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.568 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [taylor]: Taking taylor expansion of re in im 1.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [taylor]: Taking taylor expansion of re in im 1.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [taylor]: Taking taylor expansion of im in im 1.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [taylor]: Taking taylor expansion of im in im 1.571 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.571 * [taylor]: Taking taylor expansion of re in im 1.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.572 * [taylor]: Taking taylor expansion of 1 in re 1.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.573 * [taylor]: Taking taylor expansion of re in re 1.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.577 * [taylor]: Taking taylor expansion of 1/2 in re 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.578 * [taylor]: Taking taylor expansion of re in re 1.584 * [taylor]: Taking taylor expansion of 0 in re 1.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.587 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ re (hypot re im)))) (* (sqrt 2.0) im)) in (im re) around 0 1.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ re (hypot re im)))) (* (sqrt 2.0) im)) in re 1.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (hypot re im)))) in re 1.587 * [taylor]: Taking taylor expansion of (/ 1 (+ re (hypot re im))) in re 1.587 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.587 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.587 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.587 * [taylor]: Taking taylor expansion of (* re re) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [taylor]: Taking taylor expansion of (* im im) in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.589 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.589 * [taylor]: Taking taylor expansion of 2.0 in re 1.589 * [taylor]: Taking taylor expansion of im in re 1.589 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ re (hypot re im)))) (* (sqrt 2.0) im)) in im 1.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (hypot re im)))) in im 1.590 * [taylor]: Taking taylor expansion of (/ 1 (+ re (hypot re im))) in im 1.590 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.590 * [taylor]: Taking taylor expansion of re in im 1.590 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.590 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.590 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.590 * [taylor]: Taking taylor expansion of (* re re) in im 1.590 * [taylor]: Taking taylor expansion of re in im 1.590 * [taylor]: Taking taylor expansion of re in im 1.590 * [taylor]: Taking taylor expansion of (* im im) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.591 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.591 * [taylor]: Taking taylor expansion of 2.0 in im 1.592 * [taylor]: Taking taylor expansion of im in im 1.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ re (hypot re im)))) (* (sqrt 2.0) im)) in im 1.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (hypot re im)))) in im 1.592 * [taylor]: Taking taylor expansion of (/ 1 (+ re (hypot re im))) in im 1.592 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.592 * [taylor]: Taking taylor expansion of re in im 1.592 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.592 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.592 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.592 * [taylor]: Taking taylor expansion of (* re re) in im 1.592 * [taylor]: Taking taylor expansion of re in im 1.592 * [taylor]: Taking taylor expansion of re in im 1.592 * [taylor]: Taking taylor expansion of (* im im) in im 1.592 * [taylor]: Taking taylor expansion of im in im 1.592 * [taylor]: Taking taylor expansion of im in im 1.594 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.594 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.594 * [taylor]: Taking taylor expansion of 2.0 in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.595 * [taylor]: Taking taylor expansion of 0 in re 1.597 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (* (sqrt 1/2) (sqrt 2.0))) in re 1.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.597 * [taylor]: Taking taylor expansion of re in re 1.599 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 2.0)) in re 1.599 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.599 * [taylor]: Taking taylor expansion of 1/2 in re 1.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.599 * [taylor]: Taking taylor expansion of 2.0 in re 1.610 * [taylor]: Taking taylor expansion of 0 in re 1.628 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ (sqrt 2.0) (sqrt 1/2))))) in re 1.629 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ (sqrt 2.0) (sqrt 1/2)))) in re 1.629 * [taylor]: Taking taylor expansion of 1/16 in re 1.629 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow re 5))) (/ (sqrt 2.0) (sqrt 1/2))) in re 1.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.629 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.629 * [taylor]: Taking taylor expansion of re in re 1.631 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.631 * [taylor]: Taking taylor expansion of 2.0 in re 1.631 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.631 * [taylor]: Taking taylor expansion of 1/2 in re 1.669 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in (im re) around 0 1.669 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in re 1.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.669 * [taylor]: Taking taylor expansion of (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.669 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.670 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.670 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.670 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.670 * [taylor]: Taking taylor expansion of re in re 1.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.670 * [taylor]: Taking taylor expansion of re in re 1.670 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.670 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.670 * [taylor]: Taking taylor expansion of im in re 1.670 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.670 * [taylor]: Taking taylor expansion of im in re 1.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.673 * [taylor]: Taking taylor expansion of re in re 1.674 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.675 * [taylor]: Taking taylor expansion of 2.0 in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.675 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.676 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.676 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.676 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.676 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.676 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.676 * [taylor]: Taking taylor expansion of re in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.676 * [taylor]: Taking taylor expansion of re in im 1.676 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.676 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.679 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.679 * [taylor]: Taking taylor expansion of re in im 1.681 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.681 * [taylor]: Taking taylor expansion of 2.0 in im 1.681 * [taylor]: Taking taylor expansion of im in im 1.682 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.682 * [taylor]: Taking taylor expansion of (/ 1 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.682 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.682 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.682 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.682 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.682 * [taylor]: Taking taylor expansion of re in im 1.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.682 * [taylor]: Taking taylor expansion of re in im 1.682 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.682 * [taylor]: Taking taylor expansion of im in im 1.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.682 * [taylor]: Taking taylor expansion of im in im 1.685 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.685 * [taylor]: Taking taylor expansion of re in im 1.687 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.687 * [taylor]: Taking taylor expansion of 2.0 in im 1.687 * [taylor]: Taking taylor expansion of im in im 1.688 * [taylor]: Taking taylor expansion of 0 in re 1.690 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.690 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.690 * [taylor]: Taking taylor expansion of +nan.0 in re 1.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.690 * [taylor]: Taking taylor expansion of 2.0 in re 1.696 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.696 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.696 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.696 * [taylor]: Taking taylor expansion of +nan.0 in re 1.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.697 * [taylor]: Taking taylor expansion of 2.0 in re 1.697 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.697 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.697 * [taylor]: Taking taylor expansion of +nan.0 in re 1.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.697 * [taylor]: Taking taylor expansion of 2.0 in re 1.701 * [taylor]: Taking taylor expansion of re in re 1.713 * [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 1.713 * [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 1.713 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.713 * [taylor]: Taking taylor expansion of +nan.0 in re 1.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.713 * [taylor]: Taking taylor expansion of 2.0 in re 1.714 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.714 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.714 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.714 * [taylor]: Taking taylor expansion of +nan.0 in re 1.714 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.714 * [taylor]: Taking taylor expansion of 2.0 in re 1.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.715 * [taylor]: Taking taylor expansion of re in re 1.716 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.716 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.716 * [taylor]: Taking taylor expansion of +nan.0 in re 1.716 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.716 * [taylor]: Taking taylor expansion of 2.0 in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.729 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in (im re) around 0 1.729 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.729 * [taylor]: Taking taylor expansion of 2.0 in re 1.730 * [taylor]: Taking taylor expansion of im in re 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.730 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.730 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.730 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.730 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.730 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.730 * [taylor]: Taking taylor expansion of -1 in re 1.730 * [taylor]: Taking taylor expansion of re in re 1.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.730 * [taylor]: Taking taylor expansion of -1 in re 1.730 * [taylor]: Taking taylor expansion of re in re 1.731 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.731 * [taylor]: Taking taylor expansion of -1 in re 1.731 * [taylor]: Taking taylor expansion of im in re 1.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.731 * [taylor]: Taking taylor expansion of -1 in re 1.731 * [taylor]: Taking taylor expansion of im in re 1.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.733 * [taylor]: Taking taylor expansion of re in re 1.739 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.739 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.739 * [taylor]: Taking taylor expansion of 2.0 in im 1.740 * [taylor]: Taking taylor expansion of im in im 1.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.740 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.740 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.740 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.740 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.740 * [taylor]: Taking taylor expansion of -1 in im 1.740 * [taylor]: Taking taylor expansion of re in im 1.740 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.741 * [taylor]: Taking taylor expansion of -1 in im 1.741 * [taylor]: Taking taylor expansion of re in im 1.741 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.741 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.741 * [taylor]: Taking taylor expansion of -1 in im 1.741 * [taylor]: Taking taylor expansion of im in im 1.741 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.741 * [taylor]: Taking taylor expansion of -1 in im 1.741 * [taylor]: Taking taylor expansion of im in im 1.744 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.744 * [taylor]: Taking taylor expansion of re in im 1.745 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.745 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.745 * [taylor]: Taking taylor expansion of 2.0 in im 1.746 * [taylor]: Taking taylor expansion of im in im 1.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.747 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.747 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.747 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.747 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.747 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.747 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.747 * [taylor]: Taking taylor expansion of -1 in im 1.747 * [taylor]: Taking taylor expansion of re in im 1.747 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.747 * [taylor]: Taking taylor expansion of -1 in im 1.747 * [taylor]: Taking taylor expansion of re in im 1.747 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.747 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.747 * [taylor]: Taking taylor expansion of -1 in im 1.747 * [taylor]: Taking taylor expansion of im in im 1.747 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.747 * [taylor]: Taking taylor expansion of -1 in im 1.747 * [taylor]: Taking taylor expansion of im in im 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.750 * [taylor]: Taking taylor expansion of re in im 1.752 * [taylor]: Taking taylor expansion of 0 in re 1.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.754 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.754 * [taylor]: Taking taylor expansion of +nan.0 in re 1.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.754 * [taylor]: Taking taylor expansion of 2.0 in re 1.758 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.758 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.758 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.758 * [taylor]: Taking taylor expansion of +nan.0 in re 1.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.758 * [taylor]: Taking taylor expansion of 2.0 in re 1.758 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.758 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.758 * [taylor]: Taking taylor expansion of +nan.0 in re 1.758 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.758 * [taylor]: Taking taylor expansion of 2.0 in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.773 * [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 1.773 * [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 1.773 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.773 * [taylor]: Taking taylor expansion of +nan.0 in re 1.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.773 * [taylor]: Taking taylor expansion of 2.0 in re 1.774 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.774 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.774 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.774 * [taylor]: Taking taylor expansion of +nan.0 in re 1.774 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.774 * [taylor]: Taking taylor expansion of 2.0 in re 1.775 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.775 * [taylor]: Taking taylor expansion of re in re 1.775 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.775 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.775 * [taylor]: Taking taylor expansion of +nan.0 in re 1.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.776 * [taylor]: Taking taylor expansion of 2.0 in re 1.776 * [taylor]: Taking taylor expansion of re in re 1.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.792 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.792 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.792 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.792 * [taylor]: Taking taylor expansion of (* re re) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (* im im) in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.793 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.794 * [taylor]: Taking taylor expansion of re in re 1.794 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.794 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.794 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.794 * [taylor]: Taking taylor expansion of (* re re) in re 1.794 * [taylor]: Taking taylor expansion of re in re 1.794 * [taylor]: Taking taylor expansion of re in re 1.794 * [taylor]: Taking taylor expansion of (* im im) in re 1.794 * [taylor]: Taking taylor expansion of im in re 1.794 * [taylor]: Taking taylor expansion of im in re 1.795 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.795 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.795 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.795 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.795 * [taylor]: Taking taylor expansion of (* re re) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.795 * [taylor]: Taking taylor expansion of (* im im) in re 1.795 * [taylor]: Taking taylor expansion of im in re 1.795 * [taylor]: Taking taylor expansion of im in re 1.796 * [taylor]: Taking taylor expansion of im in im 1.797 * [taylor]: Taking taylor expansion of 1 in im 1.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.798 * [taylor]: Taking taylor expansion of 1/2 in im 1.798 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.798 * [taylor]: Taking taylor expansion of im in im 1.801 * [taylor]: Taking taylor expansion of 0 in im 1.802 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.802 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.802 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.802 * [taylor]: Taking taylor expansion of re in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.802 * [taylor]: Taking taylor expansion of re in im 1.802 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.805 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.805 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.805 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.806 * [taylor]: Taking taylor expansion of re in re 1.806 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.806 * [taylor]: Taking taylor expansion of im in re 1.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.806 * [taylor]: Taking taylor expansion of im in re 1.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.809 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.810 * [taylor]: Taking taylor expansion of im in re 1.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.810 * [taylor]: Taking taylor expansion of im in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.813 * [taylor]: Taking taylor expansion of 2 in im 1.813 * [taylor]: Taking taylor expansion of 0 in im 1.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.816 * [taylor]: Taking taylor expansion of 1/2 in im 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.816 * [taylor]: Taking taylor expansion of im in im 1.821 * [taylor]: Taking taylor expansion of 0 in im 1.822 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.822 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.822 * [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 1.823 * [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 1.823 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.823 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.823 * [taylor]: Taking taylor expansion of im in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.826 * [taylor]: Taking taylor expansion of re in im 1.826 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.826 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.826 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.826 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.826 * [taylor]: Taking taylor expansion of -1 in re 1.826 * [taylor]: Taking taylor expansion of re in re 1.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.826 * [taylor]: Taking taylor expansion of -1 in re 1.826 * [taylor]: Taking taylor expansion of re in re 1.827 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.827 * [taylor]: Taking taylor expansion of -1 in re 1.827 * [taylor]: Taking taylor expansion of im in re 1.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.827 * [taylor]: Taking taylor expansion of -1 in re 1.827 * [taylor]: Taking taylor expansion of im in re 1.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.830 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.830 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.830 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.830 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.830 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.830 * [taylor]: Taking taylor expansion of -1 in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.830 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.830 * [taylor]: Taking taylor expansion of -1 in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.831 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.831 * [taylor]: Taking taylor expansion of -1 in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.831 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.831 * [taylor]: Taking taylor expansion of -1 in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.833 * [taylor]: Taking taylor expansion of re in re 1.834 * [taylor]: Taking taylor expansion of 0 in im 1.835 * [taylor]: Taking taylor expansion of 0 in im 1.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.838 * [taylor]: Taking taylor expansion of 1/2 in im 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.838 * [taylor]: Taking taylor expansion of im in im 1.843 * [taylor]: Taking taylor expansion of 0 in im 1.845 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.845 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (+ re (hypot re im)))) in (im re) around 0 1.845 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (+ re (hypot re im)))) in re 1.845 * [taylor]: Taking taylor expansion of 2.0 in re 1.845 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in re 1.845 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.845 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [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 (* 2.0 (/ (pow im 2) (+ re (hypot re im)))) in im 1.846 * [taylor]: Taking taylor expansion of 2.0 in im 1.847 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in im 1.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.847 * [taylor]: Taking taylor expansion of im in im 1.847 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.847 * [taylor]: Taking taylor expansion of re in im 1.847 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.847 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.847 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.847 * [taylor]: Taking taylor expansion of (* re re) in im 1.847 * [taylor]: Taking taylor expansion of re in im 1.847 * [taylor]: Taking taylor expansion of re in im 1.847 * [taylor]: Taking taylor expansion of (* im im) in im 1.847 * [taylor]: Taking taylor expansion of im in im 1.847 * [taylor]: Taking taylor expansion of im in im 1.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (+ re (hypot re im)))) in im 1.848 * [taylor]: Taking taylor expansion of 2.0 in im 1.848 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (hypot re im))) in im 1.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.848 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.848 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.848 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.848 * [taylor]: Taking taylor expansion of (* re re) in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.848 * [taylor]: Taking taylor expansion of (* im im) in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.849 * [taylor]: Taking taylor expansion of im in im 1.850 * [taylor]: Taking taylor expansion of (/ 1.0 re) in re 1.850 * [taylor]: Taking taylor expansion of 1.0 in re 1.850 * [taylor]: Taking taylor expansion of re in re 1.852 * [taylor]: Taking taylor expansion of 0 in re 1.855 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow re 3)))) in re 1.855 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow re 3))) in re 1.855 * [taylor]: Taking taylor expansion of 0.25 in re 1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.855 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.855 * [taylor]: Taking taylor expansion of re in re 1.861 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.861 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 1.861 * [taylor]: Taking taylor expansion of 2.0 in re 1.861 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 1.861 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.861 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) 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 (/ 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 1.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.867 * [taylor]: Taking taylor expansion of re in re 1.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.868 * [taylor]: Taking taylor expansion of im in re 1.868 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.868 * [taylor]: Taking taylor expansion of 2.0 in im 1.868 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.868 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.868 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.868 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.868 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.868 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.868 * [taylor]: Taking taylor expansion of re in im 1.868 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.868 * [taylor]: Taking taylor expansion of re in im 1.868 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.868 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.869 * [taylor]: Taking taylor expansion of im in im 1.869 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.869 * [taylor]: Taking taylor expansion of im in im 1.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.871 * [taylor]: Taking taylor expansion of re in im 1.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.872 * [taylor]: Taking taylor expansion of im in im 1.873 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.873 * [taylor]: Taking taylor expansion of 2.0 in im 1.873 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.873 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.873 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.873 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.873 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.873 * [taylor]: Taking taylor expansion of re in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.873 * [taylor]: Taking taylor expansion of re in im 1.873 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.873 * [taylor]: Taking taylor expansion of im in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.873 * [taylor]: Taking taylor expansion of im in im 1.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.876 * [taylor]: Taking taylor expansion of re in im 1.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.876 * [taylor]: Taking taylor expansion of im in im 1.877 * [taylor]: Taking taylor expansion of 2.0 in re 1.878 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 1.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 1.878 * [taylor]: Taking taylor expansion of 2.0 in re 1.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.878 * [taylor]: Taking taylor expansion of re in re 1.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 1.884 * [taylor]: Taking taylor expansion of 1.0 in re 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.884 * [taylor]: Taking taylor expansion of re in re 1.889 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.889 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in re 1.889 * [taylor]: Taking taylor expansion of 2.0 in re 1.889 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2)) in re 1.889 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.889 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.890 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.890 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.890 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.890 * [taylor]: Taking taylor expansion of -1 in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.890 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.890 * [taylor]: Taking taylor expansion of -1 in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.890 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.890 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.890 * [taylor]: Taking taylor expansion of -1 in re 1.890 * [taylor]: Taking taylor expansion of im in re 1.890 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.890 * [taylor]: Taking taylor expansion of -1 in re 1.890 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.899 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in im 1.899 * [taylor]: Taking taylor expansion of 2.0 in im 1.900 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2)) in im 1.900 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.900 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.900 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.900 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.900 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.900 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.900 * [taylor]: Taking taylor expansion of -1 in im 1.900 * [taylor]: Taking taylor expansion of re in im 1.900 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.900 * [taylor]: Taking taylor expansion of -1 in im 1.900 * [taylor]: Taking taylor expansion of re in im 1.900 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.900 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.900 * [taylor]: Taking taylor expansion of -1 in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.900 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.900 * [taylor]: Taking taylor expansion of -1 in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.903 * [taylor]: Taking taylor expansion of re in im 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.904 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2))) in im 1.904 * [taylor]: Taking taylor expansion of 2.0 in im 1.904 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (pow im 2)) in im 1.904 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.904 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.904 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.904 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.904 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.904 * [taylor]: Taking taylor expansion of -1 in im 1.904 * [taylor]: Taking taylor expansion of re in im 1.904 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.904 * [taylor]: Taking taylor expansion of -1 in im 1.904 * [taylor]: Taking taylor expansion of re in im 1.904 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.904 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.904 * [taylor]: Taking taylor expansion of -1 in im 1.904 * [taylor]: Taking taylor expansion of im in im 1.905 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.905 * [taylor]: Taking taylor expansion of -1 in im 1.905 * [taylor]: Taking taylor expansion of im in im 1.907 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.908 * [taylor]: Taking taylor expansion of re in im 1.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.908 * [taylor]: Taking taylor expansion of im in im 1.909 * [taylor]: Taking taylor expansion of 2.0 in re 1.910 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 1.910 * [taylor]: Taking taylor expansion of 2.0 in re 1.910 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.915 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 1.915 * [taylor]: Taking taylor expansion of 1.0 in re 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.915 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.915 * [taylor]: Taking taylor expansion of re in re 1.922 * [taylor]: Taking taylor expansion of 0 in re 1.925 * * * [progress]: simplifying candidates 1.925 * [simplify]: Simplifying using # : (- (pow im 2)) (- (+ re (hypot re im))) (/ 1 (+ re (hypot re im))) (/ (+ re (hypot re im)) (pow im 2)) (/ (+ re (hypot re im)) im) (/ (+ re (hypot re im)) (pow im (/ 2 2))) (/ (pow im 2) (+ (pow re 3) (pow (hypot re im) 3))) (/ (pow im 2) (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0) (sqrt (/ (pow im 2) (+ re (hypot re im)))) (sqrt (* 2.0 (pow im 2))) (sqrt (/ 1 (+ re (hypot re im)))) (sqrt (* 2.0 (/ (pow im 2) (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (/ (pow im 2) (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (sqrt (/ (pow im 2) (+ re (hypot re im)))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (+ re (hypot re im)) (pow im 2))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (- (pow im 2)))) (sqrt (- (+ re (hypot re im)))) (sqrt (* 2.0 1)) (sqrt (/ (+ re (hypot re im)) (pow im 2))) (sqrt (* 2.0 im)) (sqrt (/ (+ re (hypot re im)) im)) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (/ (+ re (hypot re im)) (pow im (/ 2 2)))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (* 2.0 (pow im 2)) (* 2.0 (/ (pow im 2) (+ (pow re 3) (pow (hypot re im) 3)))) (* 2.0 (/ (pow im 2) (- (* re re) (* (hypot re im) (hypot re im))))) (* 2.0 (pow im 2)) (* 2.0 (- (pow im 2))) (* 2.0 1) (* 2.0 im) (* 2.0 (pow im (/ 2 2))) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 0 0 (- (+ (* 2.0 re) (* 2.0 im))) 1.929 * * [simplify]: iteration 0 : 237 enodes (cost 218 ) 1.934 * * [simplify]: iteration 1 : 814 enodes (cost 207 ) 1.950 * * [simplify]: iteration 2 : 3595 enodes (cost 201 ) 2.029 * * [simplify]: iteration 3 : 5001 enodes (cost 201 ) 2.031 * [simplify]: Simplified to: (- (pow im 2)) (- (+ re (hypot re im))) (/ 1 (+ re (hypot re im))) (/ (+ re (hypot re im)) (pow im 2)) (/ (+ re (hypot re im)) im) (/ (+ re (hypot re im)) im) (/ (pow im 2) (+ (pow re 3) (pow (hypot re im) 3))) (/ (pow im 2) (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0) (sqrt (/ (pow im 2) (+ re (hypot re im)))) (sqrt (* 2.0 (pow im 2))) (sqrt (/ 1 (+ re (hypot re im)))) (sqrt (* 2.0 (/ (pow im 2) (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (/ (pow im 2) (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (sqrt (/ (pow im 2) (+ re (hypot re im)))) (sqrt 2.0) (sqrt 2.0) (sqrt (/ (+ re (hypot re im)) (pow im 2))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (- (pow im 2)))) (sqrt (- (+ re (hypot re im)))) (sqrt 2.0) (sqrt (/ (+ re (hypot re im)) (pow im 2))) (sqrt (* 2.0 im)) (sqrt (/ (+ re (hypot re im)) im)) (sqrt (* 2.0 im)) (sqrt (/ (+ re (hypot re im)) im)) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (* re re)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (* 2.0 (pow im 2)) (* 2.0 (/ (pow im 2) (+ (pow re 3) (pow (hypot re im) 3)))) (* 2.0 (/ (pow im 2) (- (* re re) (* (hypot re im) (hypot re im))))) (* 2.0 (pow im 2)) (* 2.0 (- (pow im 2))) 2.0 (* im 2.0) (* im 2.0) 0 0 (- (+ re im)) (fma (- (* +nan.0 (sqrt 2.0))) (* (sqrt 1/2) (* im re)) (* +nan.0 (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (+ re im) (* 2 re) 0 0 0 (* (- 2.0) (+ re im)) 2.031 * * * [progress]: adding candidates to table 2.148 * [progress]: [Phase 3 of 3] Extracting. 2.148 * * [regime]: Finding splitpoints for: (# # # # # #) 2.150 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.150 * * * * [regimes]: Trying to branch on im from (# # # # # #) 2.200 * * * * [regimes]: Trying to branch on re from (# # # # # #) 2.237 * * * [regime]: Found split indices: #