3.611 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.032 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.037 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.038 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.061 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.068 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 3 ] 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 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [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 0.083 * [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 0.084 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.091 * [taylor]: Taking taylor expansion of 1 in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [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 0.098 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.098 * [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 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [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 0.106 * [taylor]: Taking taylor expansion of 1 in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of 1/2 in im 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.112 * * * * [progress]: [ 2 / 3 ] 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 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.114 * [taylor]: Taking taylor expansion of re in re 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 0.114 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of -1 in im 0.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.121 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.123 * [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 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [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 0.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [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 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.148 * [taylor]: Taking taylor expansion of im in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of 2 in im 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.164 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.164 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.164 * [taylor]: Taking taylor expansion of 2.0 in im 0.165 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.165 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.165 * [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 0.170 * [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 0.174 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (neg (* 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 0.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.200 * [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 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.200 * [taylor]: Taking taylor expansion of 2.0 in im 0.201 * [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 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [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 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.206 * [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 0.207 * [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 0.223 * [taylor]: Taking taylor expansion of 0 in im 0.223 * [taylor]: Taking taylor expansion of (neg (* +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 0.224 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.224 * [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 0.237 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.237 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.237 * [taylor]: Taking taylor expansion of +nan.0 in im 0.237 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.238 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.254 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.254 * [taylor]: Taking taylor expansion of +nan.0 in im 0.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.254 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.256 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.280 * [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 0.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.281 * [taylor]: Taking taylor expansion of re in im 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.281 * [taylor]: Taking taylor expansion of re in im 0.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.285 * [taylor]: Taking taylor expansion of 2.0 in re 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.290 * [taylor]: Taking taylor expansion of 2.0 in re 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.296 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 0.296 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.296 * [taylor]: Taking taylor expansion of +nan.0 in im 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.296 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 0.302 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.302 * [taylor]: Taking taylor expansion of +nan.0 in im 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.316 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0))))) in im 0.316 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0)))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 0.318 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.318 * [taylor]: Taking taylor expansion of +nan.0 in im 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.318 * [taylor]: Taking taylor expansion of 2.0 in im 0.329 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0))))) in im 0.329 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0)))) in im 0.329 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.329 * [taylor]: Taking taylor expansion of +nan.0 in im 0.329 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.329 * [taylor]: Taking taylor expansion of 2.0 in im 0.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.330 * [taylor]: Taking taylor expansion of im in im 0.331 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 0.331 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.331 * [taylor]: Taking taylor expansion of +nan.0 in im 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.345 * * * [progress]: simplifying candidates 0.345 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (neg re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (neg re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (neg (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (neg (+ (* +nan.0 (* (sqrt 2.0) im)) (neg (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) 0.350 * * [simplify]: iteration 0 : 232 enodes (cost 382 ) 0.354 * * [simplify]: iteration 1 : 768 enodes (cost 356 ) 0.367 * * [simplify]: iteration 2 : 2506 enodes (cost 346 ) 0.418 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.420 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (neg (pow im 2)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0.420 * * * [progress]: adding candidates to table 0.551 * * [progress]: iteration 2 / 4 0.551 * * * [progress]: picking best candidate 0.562 * * * * [pick]: Picked # 0.562 * * * [progress]: localizing error 0.574 * * * [progress]: generating rewritten candidates 0.574 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 0.578 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.582 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 0.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.601 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 0.601 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.601 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.601 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.601 * [taylor]: Taking taylor expansion of re in im 0.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.602 * [taylor]: Taking taylor expansion of im in re 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.603 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.603 * [taylor]: Taking taylor expansion of re in re 0.603 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.603 * [taylor]: Taking taylor expansion of im in re 0.603 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of 0 in im 0.605 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.605 * [taylor]: Taking taylor expansion of 1/2 in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of 0 in im 0.608 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.608 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.611 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.611 * [taylor]: Taking taylor expansion of im in re 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.611 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.613 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.613 * [taylor]: Taking taylor expansion of im in re 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of 1 in im 0.616 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.618 * [taylor]: Taking taylor expansion of 1/2 in im 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.621 * [taylor]: Taking taylor expansion of 0 in im 0.623 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.623 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.623 * [taylor]: Taking taylor expansion of re in im 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.625 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.625 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.628 * [taylor]: Taking taylor expansion of im in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.628 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of 1 in im 0.631 * [taylor]: Taking taylor expansion of 0 in im 0.633 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.633 * [taylor]: Taking taylor expansion of 1/2 in im 0.633 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of 0 in im 0.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 0.637 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.637 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.638 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.638 * [taylor]: Taking taylor expansion of re in im 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.638 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.638 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.639 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.639 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.639 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of im in im 0.639 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.641 * [taylor]: Taking taylor expansion of 1/2 in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.644 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.644 * [taylor]: Taking taylor expansion of re in im 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of 1 in im 0.651 * [taylor]: Taking taylor expansion of 0 in im 0.653 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.653 * [taylor]: Taking taylor expansion of 1/2 in im 0.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of 0 in im 0.658 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.658 * [taylor]: Taking taylor expansion of im in im 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.659 * [taylor]: Taking taylor expansion of re in im 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.661 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.666 * [taylor]: Taking taylor expansion of 1 in im 0.666 * [taylor]: Taking taylor expansion of 0 in im 0.668 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.668 * [taylor]: Taking taylor expansion of 1/2 in im 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of 0 in im 0.673 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 0.673 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.673 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.673 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.673 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.673 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.677 * [taylor]: Taking taylor expansion of 1/2 in im 0.677 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of 0 in im 0.681 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.681 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.682 * [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 0.689 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.689 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.689 * [taylor]: Taking taylor expansion of im in re 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.689 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of 0 in im 0.696 * [taylor]: Taking taylor expansion of 0 in im 0.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.699 * [taylor]: Taking taylor expansion of 1/2 in im 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.699 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of 0 in im 0.705 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.705 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.706 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.709 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.711 * [taylor]: Taking taylor expansion of re in re 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.711 * [taylor]: Taking taylor expansion of im in re 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.712 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of 2 in im 0.715 * [taylor]: Taking taylor expansion of 0 in im 0.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.717 * [taylor]: Taking taylor expansion of 1/2 in im 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.717 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of 0 in im 0.723 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.724 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.724 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.724 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.724 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.724 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.724 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of -1 in im 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.728 * [taylor]: Taking taylor expansion of 1/2 in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of 0 in im 0.732 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.732 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.732 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.733 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.741 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.741 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.745 * [taylor]: Taking taylor expansion of 1/2 in im 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of 0 in im 0.752 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.752 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.752 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.757 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of 2 in im 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.764 * [taylor]: Taking taylor expansion of 1/2 in im 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.768 * [taylor]: Taking taylor expansion of 0 in im 0.770 * * * [progress]: simplifying candidates 0.771 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (neg re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (neg re) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (neg re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (neg re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 0.779 * * [simplify]: iteration 0 : 135 enodes (cost 456 ) 0.782 * * [simplify]: iteration 1 : 332 enodes (cost 432 ) 0.789 * * [simplify]: iteration 2 : 839 enodes (cost 424 ) 0.805 * * [simplify]: iteration 3 : 2503 enodes (cost 422 ) 0.855 * * [simplify]: iteration 4 : 5002 enodes (cost 420 ) 0.858 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 0.858 * * * [progress]: adding candidates to table 1.054 * * [progress]: iteration 3 / 4 1.054 * * * [progress]: picking best candidate 1.064 * * * * [pick]: Picked # 1.064 * * * [progress]: localizing error 1.077 * * * [progress]: generating rewritten candidates 1.077 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.081 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.091 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.096 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.109 * * * [progress]: generating series expansions 1.109 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.109 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.109 * [taylor]: Taking taylor expansion of re in im 1.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.109 * [taylor]: Taking taylor expansion of im in im 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.110 * [taylor]: Taking taylor expansion of im in re 1.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.111 * [taylor]: Taking taylor expansion of re in re 1.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.111 * [taylor]: Taking taylor expansion of im in re 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of 0 in im 1.112 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.113 * [taylor]: Taking taylor expansion of 1/2 in im 1.113 * [taylor]: Taking taylor expansion of im in im 1.115 * [taylor]: Taking taylor expansion of 0 in im 1.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.116 * [taylor]: Taking taylor expansion of im in im 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.116 * [taylor]: Taking taylor expansion of re in im 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.118 * [taylor]: Taking taylor expansion of im in re 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.119 * [taylor]: Taking taylor expansion of re in re 1.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.121 * [taylor]: Taking taylor expansion of im in re 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.121 * [taylor]: Taking taylor expansion of re in re 1.124 * [taylor]: Taking taylor expansion of 1 in im 1.124 * [taylor]: Taking taylor expansion of 0 in im 1.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.126 * [taylor]: Taking taylor expansion of 1/2 in im 1.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.126 * [taylor]: Taking taylor expansion of im in im 1.129 * [taylor]: Taking taylor expansion of 0 in im 1.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.131 * [taylor]: Taking taylor expansion of re in im 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.133 * [taylor]: Taking taylor expansion of im in re 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.133 * [taylor]: Taking taylor expansion of re in re 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.136 * [taylor]: Taking taylor expansion of im in re 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.136 * [taylor]: Taking taylor expansion of re in re 1.138 * [taylor]: Taking taylor expansion of 1 in im 1.138 * [taylor]: Taking taylor expansion of 0 in im 1.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.144 * [taylor]: Taking taylor expansion of 1/2 in im 1.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of 0 in im 1.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.149 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.149 * [taylor]: Taking taylor expansion of re in im 1.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.150 * [taylor]: Taking taylor expansion of re in im 1.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of im in im 1.152 * [taylor]: Taking taylor expansion of -1 in im 1.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.153 * [taylor]: Taking taylor expansion of 1/2 in im 1.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.153 * [taylor]: Taking taylor expansion of im in im 1.156 * [taylor]: Taking taylor expansion of 0 in im 1.158 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.158 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.158 * [taylor]: Taking taylor expansion of im in im 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.158 * [taylor]: Taking taylor expansion of re in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.160 * [taylor]: Taking taylor expansion of re in im 1.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.161 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.163 * [taylor]: Taking taylor expansion of im in re 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.164 * [taylor]: Taking taylor expansion of re in re 1.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of 0 in im 1.168 * [taylor]: Taking taylor expansion of 0 in im 1.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.171 * [taylor]: Taking taylor expansion of 1/2 in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of 0 in im 1.177 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.177 * [taylor]: Taking taylor expansion of re in im 1.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.177 * [taylor]: Taking taylor expansion of im in im 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.178 * [taylor]: Taking taylor expansion of re in im 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.183 * [taylor]: Taking taylor expansion of im in re 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of 2 in im 1.187 * [taylor]: Taking taylor expansion of 0 in im 1.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.189 * [taylor]: Taking taylor expansion of 1/2 in im 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.189 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.189 * [taylor]: Taking taylor expansion of im in im 1.193 * [taylor]: Taking taylor expansion of 0 in im 1.195 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.195 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.195 * [taylor]: Taking taylor expansion of re in im 1.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.195 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.196 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.196 * [taylor]: Taking taylor expansion of im in re 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.197 * [taylor]: Taking taylor expansion of re in re 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.197 * [taylor]: Taking taylor expansion of im in re 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [taylor]: Taking taylor expansion of 0 in im 1.199 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.199 * [taylor]: Taking taylor expansion of 1/2 in im 1.199 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of 0 in im 1.202 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.202 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.202 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.202 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of 1 in im 1.210 * [taylor]: Taking taylor expansion of 0 in im 1.212 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.212 * [taylor]: Taking taylor expansion of 1/2 in im 1.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of 0 in im 1.216 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.217 * [taylor]: Taking taylor expansion of re in im 1.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of 1 in im 1.225 * [taylor]: Taking taylor expansion of 0 in im 1.227 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.227 * [taylor]: Taking taylor expansion of 1/2 in im 1.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.235 * [taylor]: Taking taylor expansion of 0 in im 1.236 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.236 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 1.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.237 * [taylor]: Taking taylor expansion of 2.0 in im 1.237 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.237 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.242 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.242 * [taylor]: Taking taylor expansion of 2.0 in re 1.242 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.242 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.242 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.242 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.242 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.244 * [taylor]: Taking taylor expansion of 2.0 in re 1.245 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.245 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.247 * [taylor]: Taking taylor expansion of 2.0 in im 1.247 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.251 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.251 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.251 * [taylor]: Taking taylor expansion of 1/2 in im 1.251 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.251 * [taylor]: Taking taylor expansion of 2.0 in im 1.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.252 * [taylor]: Taking taylor expansion of im in im 1.273 * [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 1.273 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.273 * [taylor]: Taking taylor expansion of 2.0 in im 1.273 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.273 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.276 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.276 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.277 * [taylor]: Taking taylor expansion of 2.0 in re 1.278 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.278 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.286 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.286 * [taylor]: Taking taylor expansion of 2.0 in re 1.286 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.286 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.286 * [taylor]: Taking taylor expansion of im in re 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.287 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of 0 in im 1.295 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.295 * [taylor]: Taking taylor expansion of +nan.0 in im 1.295 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.295 * [taylor]: Taking taylor expansion of 2.0 in im 1.296 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.303 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.303 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.303 * [taylor]: Taking taylor expansion of +nan.0 in im 1.303 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.303 * [taylor]: Taking taylor expansion of 2.0 in im 1.304 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.325 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.325 * [taylor]: Taking taylor expansion of +nan.0 in im 1.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.325 * [taylor]: Taking taylor expansion of 2.0 in im 1.326 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.327 * [taylor]: Taking taylor expansion of +nan.0 in im 1.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.327 * [taylor]: Taking taylor expansion of 2.0 in im 1.327 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.351 * [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 1.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.351 * [taylor]: Taking taylor expansion of 2.0 in im 1.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.352 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.356 * [taylor]: Taking taylor expansion of 2.0 in re 1.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.361 * [taylor]: Taking taylor expansion of 2.0 in re 1.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.362 * [taylor]: Taking taylor expansion of im in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.362 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of 0 in im 1.367 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 1.367 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.367 * [taylor]: Taking taylor expansion of +nan.0 in im 1.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.367 * [taylor]: Taking taylor expansion of 2.0 in im 1.372 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 1.372 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.372 * [taylor]: Taking taylor expansion of +nan.0 in im 1.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.372 * [taylor]: Taking taylor expansion of 2.0 in im 1.381 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0))))) in im 1.381 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0)))) in im 1.381 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.381 * [taylor]: Taking taylor expansion of +nan.0 in im 1.381 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.381 * [taylor]: Taking taylor expansion of 2.0 in im 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 1.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.382 * [taylor]: Taking taylor expansion of +nan.0 in im 1.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.383 * [taylor]: Taking taylor expansion of 2.0 in im 1.393 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0))))) in im 1.394 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0)))) in im 1.394 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.394 * [taylor]: Taking taylor expansion of +nan.0 in im 1.394 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.394 * [taylor]: Taking taylor expansion of 2.0 in im 1.394 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.394 * [taylor]: Taking taylor expansion of im in im 1.395 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 1.395 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.395 * [taylor]: Taking taylor expansion of +nan.0 in im 1.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.395 * [taylor]: Taking taylor expansion of 2.0 in im 1.415 * * * [progress]: simplifying candidates 1.416 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (neg re) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (neg re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (log (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* 2.0 (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (neg (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (neg (+ (* +nan.0 (* (sqrt 2.0) im)) (neg (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) 1.421 * * [simplify]: iteration 0 : 283 enodes (cost 630 ) 1.426 * * [simplify]: iteration 1 : 843 enodes (cost 573 ) 1.439 * * [simplify]: iteration 2 : 2616 enodes (cost 551 ) 1.490 * * [simplify]: iteration 3 : 5001 enodes (cost 542 ) 1.494 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (neg (pow re 3)) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (pow im 2) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))) (* -1 re) (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (neg (sqrt re))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (neg (sqrt re))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (neg (sqrt re))) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (pow (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) 3) (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* 2.0 (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (+ (neg (pow im 2)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 1.494 * * * [progress]: adding candidates to table 1.675 * * [progress]: iteration 4 / 4 1.675 * * * [progress]: picking best candidate 1.705 * * * * [pick]: Picked # 1.705 * * * [progress]: localizing error 1.720 * * * [progress]: generating rewritten candidates 1.720 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1 1) 1.724 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.733 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.739 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.757 * * * [progress]: generating series expansions 1.757 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1 1) 1.757 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.757 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.757 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.757 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.757 * [taylor]: Taking taylor expansion of re in im 1.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.757 * [taylor]: Taking taylor expansion of im in im 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.758 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.758 * [taylor]: Taking taylor expansion of re in re 1.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.759 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.759 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.759 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.759 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.759 * [taylor]: Taking taylor expansion of im in re 1.759 * [taylor]: Taking taylor expansion of im in im 1.759 * [taylor]: Taking taylor expansion of 0 in im 1.761 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.761 * [taylor]: Taking taylor expansion of 1/2 in im 1.761 * [taylor]: Taking taylor expansion of im in im 1.763 * [taylor]: Taking taylor expansion of 0 in im 1.763 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.763 * [taylor]: Taking taylor expansion of im in im 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.764 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.764 * [taylor]: Taking taylor expansion of re in im 1.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.766 * [taylor]: Taking taylor expansion of im in re 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.766 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.766 * [taylor]: Taking taylor expansion of re in re 1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.772 * [taylor]: Taking taylor expansion of im in re 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.775 * [taylor]: Taking taylor expansion of 1 in im 1.775 * [taylor]: Taking taylor expansion of 0 in im 1.777 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.777 * [taylor]: Taking taylor expansion of 1/2 in im 1.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.780 * [taylor]: Taking taylor expansion of 0 in im 1.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.782 * [taylor]: Taking taylor expansion of re in im 1.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.784 * [taylor]: Taking taylor expansion of im in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.787 * [taylor]: Taking taylor expansion of im in re 1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.787 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.787 * [taylor]: Taking taylor expansion of re in re 1.790 * [taylor]: Taking taylor expansion of 1 in im 1.790 * [taylor]: Taking taylor expansion of 0 in im 1.792 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.792 * [taylor]: Taking taylor expansion of 1/2 in im 1.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.795 * [taylor]: Taking taylor expansion of 0 in im 1.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.797 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.797 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.797 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.797 * [taylor]: Taking taylor expansion of re in im 1.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.797 * [taylor]: Taking taylor expansion of im in im 1.797 * [taylor]: Taking taylor expansion of re in im 1.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.797 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.797 * [taylor]: Taking taylor expansion of re in re 1.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.797 * [taylor]: Taking taylor expansion of im in re 1.798 * [taylor]: Taking taylor expansion of re in re 1.798 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.798 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.798 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.798 * [taylor]: Taking taylor expansion of re in re 1.798 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.798 * [taylor]: Taking taylor expansion of im in re 1.799 * [taylor]: Taking taylor expansion of re in re 1.799 * [taylor]: Taking taylor expansion of im in im 1.799 * [taylor]: Taking taylor expansion of -1 in im 1.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.801 * [taylor]: Taking taylor expansion of 1/2 in im 1.801 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.801 * [taylor]: Taking taylor expansion of im in im 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.805 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.805 * [taylor]: Taking taylor expansion of im in im 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.806 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.808 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.808 * [taylor]: Taking taylor expansion of im in re 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.808 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.808 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.814 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of 0 in im 1.815 * [taylor]: Taking taylor expansion of 0 in im 1.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.818 * [taylor]: Taking taylor expansion of 1/2 in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.818 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of 0 in im 1.825 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.825 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.825 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.825 * [taylor]: Taking taylor expansion of re in im 1.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.825 * [taylor]: Taking taylor expansion of im in im 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.825 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.825 * [taylor]: Taking taylor expansion of re in im 1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.827 * [taylor]: Taking taylor expansion of re in re 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.828 * [taylor]: Taking taylor expansion of im in re 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.828 * [taylor]: Taking taylor expansion of re in re 1.830 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.831 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.833 * [taylor]: Taking taylor expansion of 2 in im 1.834 * [taylor]: Taking taylor expansion of 0 in im 1.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.837 * [taylor]: Taking taylor expansion of 1/2 in im 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.841 * [taylor]: Taking taylor expansion of 0 in im 1.843 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.843 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.843 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.843 * [taylor]: Taking taylor expansion of re in im 1.843 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.843 * [taylor]: Taking taylor expansion of im in im 1.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.844 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.844 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.844 * [taylor]: Taking taylor expansion of re in re 1.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.844 * [taylor]: Taking taylor expansion of im in re 1.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.844 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.844 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.844 * [taylor]: Taking taylor expansion of re in re 1.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.844 * [taylor]: Taking taylor expansion of im in re 1.845 * [taylor]: Taking taylor expansion of im in im 1.845 * [taylor]: Taking taylor expansion of 0 in im 1.846 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.846 * [taylor]: Taking taylor expansion of 1/2 in im 1.846 * [taylor]: Taking taylor expansion of im in im 1.848 * [taylor]: Taking taylor expansion of 0 in im 1.849 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.849 * [taylor]: Taking taylor expansion of im in im 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.850 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.850 * [taylor]: Taking taylor expansion of re in im 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.852 * [taylor]: Taking taylor expansion of re in re 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.854 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.854 * [taylor]: Taking taylor expansion of im in re 1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.854 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.854 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of 1 in im 1.862 * [taylor]: Taking taylor expansion of 0 in im 1.864 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.864 * [taylor]: Taking taylor expansion of 1/2 in im 1.864 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.864 * [taylor]: Taking taylor expansion of im in im 1.867 * [taylor]: Taking taylor expansion of 0 in im 1.868 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.869 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.869 * [taylor]: Taking taylor expansion of im in im 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.869 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.869 * [taylor]: Taking taylor expansion of re in im 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.871 * [taylor]: Taking taylor expansion of im in re 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.871 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.871 * [taylor]: Taking taylor expansion of re in re 1.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.874 * [taylor]: Taking taylor expansion of im in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.874 * [taylor]: Taking taylor expansion of re in re 1.877 * [taylor]: Taking taylor expansion of 1 in im 1.877 * [taylor]: Taking taylor expansion of 0 in im 1.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.879 * [taylor]: Taking taylor expansion of 1/2 in im 1.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.879 * [taylor]: Taking taylor expansion of im in im 1.882 * [taylor]: Taking taylor expansion of 0 in im 1.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.884 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 1.884 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.884 * [taylor]: Taking taylor expansion of 2.0 in im 1.885 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.885 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.885 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.885 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.885 * [taylor]: Taking taylor expansion of re in im 1.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.885 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.889 * [taylor]: Taking taylor expansion of 2.0 in re 1.890 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.890 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.890 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.890 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.890 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.890 * [taylor]: Taking taylor expansion of im in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.891 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.891 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.891 * [taylor]: Taking taylor expansion of 2.0 in re 1.892 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.892 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.892 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.892 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.892 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.894 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.894 * [taylor]: Taking taylor expansion of 2.0 in im 1.895 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.895 * [taylor]: Taking taylor expansion of im in im 1.898 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.898 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.898 * [taylor]: Taking taylor expansion of 1/2 in im 1.898 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.898 * [taylor]: Taking taylor expansion of 2.0 in im 1.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.899 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.899 * [taylor]: Taking taylor expansion of im in im 1.920 * [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 1.920 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.920 * [taylor]: Taking taylor expansion of 2.0 in im 1.921 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.921 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.921 * [taylor]: Taking taylor expansion of im in im 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.922 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.922 * [taylor]: Taking taylor expansion of re in im 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.924 * [taylor]: Taking taylor expansion of re in im 1.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.925 * [taylor]: Taking taylor expansion of 2.0 in re 1.926 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.926 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.926 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.926 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.926 * [taylor]: Taking taylor expansion of re in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.933 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.933 * [taylor]: Taking taylor expansion of 2.0 in re 1.934 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.934 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.934 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.934 * [taylor]: Taking taylor expansion of im in re 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.934 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.942 * [taylor]: Taking taylor expansion of 0 in im 1.943 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.943 * [taylor]: Taking taylor expansion of +nan.0 in im 1.943 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.943 * [taylor]: Taking taylor expansion of 2.0 in im 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.956 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.956 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.956 * [taylor]: Taking taylor expansion of +nan.0 in im 1.956 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.956 * [taylor]: Taking taylor expansion of 2.0 in im 1.957 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.957 * [taylor]: Taking taylor expansion of im in im 1.972 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.972 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.972 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.972 * [taylor]: Taking taylor expansion of +nan.0 in im 1.972 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.972 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.972 * [taylor]: Taking taylor expansion of 2.0 in im 1.973 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.974 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.974 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.974 * [taylor]: Taking taylor expansion of +nan.0 in im 1.974 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.974 * [taylor]: Taking taylor expansion of 2.0 in im 1.975 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.975 * [taylor]: Taking taylor expansion of im in im 2.000 * [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 2.000 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.000 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.000 * [taylor]: Taking taylor expansion of 2.0 in im 2.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.001 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.001 * [taylor]: Taking taylor expansion of re in im 2.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.001 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.001 * [taylor]: Taking taylor expansion of im in im 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.002 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.005 * [taylor]: Taking taylor expansion of 2.0 in re 2.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.006 * [taylor]: Taking taylor expansion of re in re 2.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.006 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.006 * [taylor]: Taking taylor expansion of im in re 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.006 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.006 * [taylor]: Taking taylor expansion of re in re 2.010 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.010 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.010 * [taylor]: Taking taylor expansion of 2.0 in re 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.011 * [taylor]: Taking taylor expansion of re in re 2.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.011 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.011 * [taylor]: Taking taylor expansion of im in re 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.011 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.011 * [taylor]: Taking taylor expansion of re in re 2.015 * [taylor]: Taking taylor expansion of 0 in im 2.016 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 2.016 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.016 * [taylor]: Taking taylor expansion of +nan.0 in im 2.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.016 * [taylor]: Taking taylor expansion of 2.0 in im 2.021 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 2.021 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.021 * [taylor]: Taking taylor expansion of +nan.0 in im 2.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.021 * [taylor]: Taking taylor expansion of 2.0 in im 2.030 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0))))) in im 2.030 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0)))) in im 2.030 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.030 * [taylor]: Taking taylor expansion of +nan.0 in im 2.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.030 * [taylor]: Taking taylor expansion of 2.0 in im 2.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.036 * [taylor]: Taking taylor expansion of im in im 2.037 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 2.037 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.037 * [taylor]: Taking taylor expansion of +nan.0 in im 2.037 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.037 * [taylor]: Taking taylor expansion of 2.0 in im 2.049 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0))))) in im 2.049 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (* +nan.0 (sqrt 2.0)))) in im 2.049 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.049 * [taylor]: Taking taylor expansion of +nan.0 in im 2.049 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.049 * [taylor]: Taking taylor expansion of 2.0 in im 2.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.050 * [taylor]: Taking taylor expansion of im in im 2.050 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in im 2.050 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.050 * [taylor]: Taking taylor expansion of +nan.0 in im 2.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.051 * [taylor]: Taking taylor expansion of 2.0 in im 2.063 * * * [progress]: simplifying candidates 2.065 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (neg re) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (neg re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (log (sqrt 2.0)) (log (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (log (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (* (sqrt 2.0) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (* (sqrt 2.0) (sqrt (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (neg (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (neg (+ (* +nan.0 (* (sqrt 2.0) im)) (neg (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) 2.071 * * [simplify]: iteration 0 : 342 enodes (cost 917 ) 2.077 * * [simplify]: iteration 1 : 1173 enodes (cost 850 ) 2.097 * * [simplify]: iteration 2 : 4410 enodes (cost 824 ) 2.182 * * [simplify]: iteration 3 : 5002 enodes (cost 818 ) 2.186 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) (* -1 re))) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) (* -1 re))) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (neg (pow re 3)) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (pow im 2) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))) (* -1 re) (+ (pow im 2) 0) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (neg (sqrt re))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (neg (sqrt re))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (neg (sqrt re))) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (+ (sqrt (+ (* re re) (* im im))) (* -1 re)) 2.0) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (+ (sqrt (+ (* re re) (* im im))) (* -1 re)) 2.0) (log (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (log (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (pow (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (pow (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) 3) (* (+ (sqrt (+ (* re re) (* im im))) (* -1 re)) 2.0) (sqrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (* (fabs (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (* (sqrt 2.0) (sqrt (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (+ (neg (pow im 2)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 2.187 * * * [progress]: adding candidates to table 2.437 * [progress]: [Phase 3 of 3] Extracting. 2.437 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.440 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.441 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # # # #) 2.511 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # #) 2.565 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # # #) 2.643 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # # #) 2.721 * * * [regime]: Found split indices: #