13.859 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.027 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 0.028 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.029 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.030 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.049 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.055 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.064 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.064 * [taylor]: Taking taylor expansion of re in im 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.066 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.068 * [taylor]: Taking taylor expansion of 1/2 in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of 1 in im 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of 1/2 in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.089 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of 1 in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of 1/2 in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.100 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.100 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.100 * [taylor]: Taking taylor expansion of re in im 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.100 * [taylor]: Taking taylor expansion of re in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.101 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.101 * [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 (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.104 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.107 * [taylor]: Taking taylor expansion of re in im 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.116 * [taylor]: Taking taylor expansion of 2 in im 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.119 * [taylor]: Taking taylor expansion of 1/2 in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.141 * [taylor]: Taking taylor expansion of 1/2 in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.148 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.148 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.148 * [taylor]: Taking taylor expansion of 2.0 in im 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.149 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.150 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.150 * [taylor]: Taking taylor expansion of 2.0 in re 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.150 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.151 * [taylor]: Taking taylor expansion of 2.0 in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.152 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.153 * [taylor]: Taking taylor expansion of 2.0 in im 0.154 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.156 * [taylor]: Taking taylor expansion of 1/2 in im 0.156 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.156 * [taylor]: Taking taylor expansion of 2.0 in im 0.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.167 * [taylor]: Taking taylor expansion of 1/8 in im 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.168 * [taylor]: Taking taylor expansion of 2.0 in im 0.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.184 * [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 0.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.184 * [taylor]: Taking taylor expansion of 2.0 in im 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.185 * [taylor]: Taking taylor expansion of re in im 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.185 * [taylor]: Taking taylor expansion of re in im 0.189 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.189 * [taylor]: Taking taylor expansion of 2.0 in re 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.194 * [taylor]: Taking taylor expansion of 2.0 in re 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.195 * [taylor]: Taking taylor expansion of im in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.200 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.200 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.200 * [taylor]: Taking taylor expansion of +nan.0 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 0.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.205 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.205 * [taylor]: Taking taylor expansion of +nan.0 in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [taylor]: Taking taylor expansion of 2.0 in im 0.214 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.214 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.214 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.214 * [taylor]: Taking taylor expansion of +nan.0 in im 0.214 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.214 * [taylor]: Taking taylor expansion of 2.0 in im 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.215 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.215 * [taylor]: Taking taylor expansion of +nan.0 in im 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.215 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.229 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.229 * [taylor]: Taking taylor expansion of +nan.0 in im 0.229 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.229 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.231 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.231 * [taylor]: Taking taylor expansion of +nan.0 in im 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.231 * [taylor]: Taking taylor expansion of 2.0 in im 0.244 * [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 0.244 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.244 * [taylor]: Taking taylor expansion of 2.0 in im 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.245 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.245 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.245 * [taylor]: Taking taylor expansion of re in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.248 * [taylor]: Taking taylor expansion of re in im 0.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.249 * [taylor]: Taking taylor expansion of 2.0 in re 0.250 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.250 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.250 * [taylor]: Taking taylor expansion of im in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.252 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.257 * [taylor]: Taking taylor expansion of 2.0 in re 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.266 * [taylor]: Taking taylor expansion of 0 in im 0.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.267 * [taylor]: Taking taylor expansion of +nan.0 in im 0.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.275 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.275 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.275 * [taylor]: Taking taylor expansion of +nan.0 in im 0.275 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.275 * [taylor]: Taking taylor expansion of 2.0 in im 0.275 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.291 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.291 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.291 * [taylor]: Taking taylor expansion of +nan.0 in im 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.291 * [taylor]: Taking taylor expansion of 2.0 in im 0.292 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.293 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.294 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.319 * * * [progress]: simplifying candidates 0.320 * [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))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.324 * * [simplify]: iteration 0 : 244 enodes (cost 354 ) 0.328 * * [simplify]: iteration 1 : 743 enodes (cost 325 ) 0.341 * * [simplify]: iteration 2 : 2278 enodes (cost 315 ) 0.384 * * [simplify]: iteration 3 : 5001 enodes (cost 312 ) 0.386 * [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)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- im re) (pow re 2))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.386 * * * [progress]: adding candidates to table 0.517 * * [progress]: iteration 2 / 4 0.518 * * * [progress]: picking best candidate 0.526 * * * * [pick]: Picked # 0.526 * * * [progress]: localizing error 0.543 * * * [progress]: generating rewritten candidates 0.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 0.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 0.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.555 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.562 * * * [progress]: generating series expansions 0.562 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 0.563 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.563 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.563 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.563 * [taylor]: Taking taylor expansion of re in im 0.563 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.563 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.563 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.564 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.564 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.564 * [taylor]: Taking taylor expansion of im in re 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.566 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.566 * [taylor]: Taking taylor expansion of 1/2 in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.569 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.570 * [taylor]: Taking taylor expansion of re in im 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.572 * [taylor]: Taking taylor expansion of im in re 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.574 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.574 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.574 * [taylor]: Taking taylor expansion of re in re 0.577 * [taylor]: Taking taylor expansion of 1 in im 0.577 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.579 * [taylor]: Taking taylor expansion of 1/2 in im 0.579 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.579 * [taylor]: Taking taylor expansion of im in im 0.582 * [taylor]: Taking taylor expansion of 0 in im 0.583 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.584 * [taylor]: Taking taylor expansion of im in im 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.584 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.584 * [taylor]: Taking taylor expansion of re in im 0.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.586 * [taylor]: Taking taylor expansion of re in re 0.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.589 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.589 * [taylor]: Taking taylor expansion of im in re 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.589 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.589 * [taylor]: Taking taylor expansion of re in re 0.591 * [taylor]: Taking taylor expansion of 1 in im 0.591 * [taylor]: Taking taylor expansion of 0 in im 0.593 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.593 * [taylor]: Taking taylor expansion of 1/2 in im 0.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.596 * [taylor]: Taking taylor expansion of 0 in im 0.598 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 0.598 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.598 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.598 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.598 * [taylor]: Taking taylor expansion of re in im 0.598 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.598 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.598 * [taylor]: Taking taylor expansion of re in re 0.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.598 * [taylor]: Taking taylor expansion of im in re 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.599 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.599 * [taylor]: Taking taylor expansion of re in re 0.599 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.599 * [taylor]: Taking taylor expansion of im in re 0.600 * [taylor]: Taking taylor expansion of im in im 0.600 * [taylor]: Taking taylor expansion of 0 in im 0.601 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.601 * [taylor]: Taking taylor expansion of 1/2 in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of 0 in im 0.603 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.604 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.606 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.606 * [taylor]: Taking taylor expansion of im in re 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.606 * [taylor]: Taking taylor expansion of re in re 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.609 * [taylor]: Taking taylor expansion of im in re 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.611 * [taylor]: Taking taylor expansion of 1 in im 0.611 * [taylor]: Taking taylor expansion of 0 in im 0.613 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.613 * [taylor]: Taking taylor expansion of 1/2 in im 0.613 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.613 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.624 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.626 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of 1 in im 0.629 * [taylor]: Taking taylor expansion of 0 in im 0.631 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.631 * [taylor]: Taking taylor expansion of 1/2 in im 0.631 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of 0 in im 0.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.635 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.635 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.635 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.636 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.636 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.637 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.638 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.638 * [taylor]: Taking taylor expansion of 1/2 in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.640 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.642 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.642 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.644 * [taylor]: Taking taylor expansion of re in re 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 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of 1 in im 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.651 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.651 * [taylor]: Taking taylor expansion of 1/2 in im 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.658 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.658 * [taylor]: Taking taylor expansion of im in re 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.658 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.658 * [taylor]: Taking taylor expansion of re in re 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 1 in im 0.663 * [taylor]: Taking taylor expansion of 0 in im 0.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.665 * [taylor]: Taking taylor expansion of 1/2 in im 0.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.665 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.669 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.670 * [approximate]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in (re im) around 0 0.670 * [taylor]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in im 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.670 * [taylor]: Taking taylor expansion of 1/3 in im 0.670 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.670 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.670 * [taylor]: Taking taylor expansion of re in im 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.670 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.670 * [taylor]: Taking taylor expansion of re in im 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in re 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.671 * [taylor]: Taking taylor expansion of 1/3 in re 0.671 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.671 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.671 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.671 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in re 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.671 * [taylor]: Taking taylor expansion of 1/3 in re 0.671 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.671 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.671 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.671 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 0.672 * [taylor]: Taking taylor expansion of 1/3 in im 0.672 * [taylor]: Taking taylor expansion of (log im) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 0.674 * [taylor]: Taking taylor expansion of 1/3 in im 0.674 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 0.674 * [taylor]: Taking taylor expansion of 1/3 in im 0.674 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 0.680 * [taylor]: Taking taylor expansion of 1/18 in im 0.680 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 0.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 0.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 0.680 * [taylor]: Taking taylor expansion of 1/3 in im 0.680 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 0.680 * [taylor]: Taking taylor expansion of (pow im 5) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.682 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in (re im) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in im 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.682 * [taylor]: Taking taylor expansion of 1/3 in im 0.682 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.683 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.683 * [taylor]: Taking taylor expansion of re in im 0.686 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.686 * [taylor]: Taking taylor expansion of 1/3 in re 0.686 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.686 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.690 * [taylor]: Taking taylor expansion of 1/3 in re 0.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.691 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 0.695 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 0.695 * [taylor]: Taking taylor expansion of 1/3 in im 0.695 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.695 * [taylor]: Taking taylor expansion of (log 2) in im 0.695 * [taylor]: Taking taylor expansion of 2 in im 0.695 * [taylor]: Taking taylor expansion of (log re) in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 0.711 * [taylor]: Taking taylor expansion of 1/12 in im 0.711 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 0.711 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 0.711 * [taylor]: Taking taylor expansion of 1/3 in im 0.711 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.711 * [taylor]: Taking taylor expansion of (log 2) in im 0.711 * [taylor]: Taking taylor expansion of 2 in im 0.711 * [taylor]: Taking taylor expansion of (log re) in im 0.712 * [taylor]: Taking taylor expansion of re in im 0.712 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.737 * [approximate]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/3) in (re im) around 0 0.737 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/3) in im 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.737 * [taylor]: Taking taylor expansion of 1/3 in im 0.737 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.737 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.737 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.737 * [taylor]: Taking taylor expansion of re in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.739 * [taylor]: Taking taylor expansion of re in im 0.740 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/3) in re 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.740 * [taylor]: Taking taylor expansion of 1/3 in re 0.740 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.740 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.740 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.740 * [taylor]: Taking taylor expansion of im in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.740 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/3) in re 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.748 * [taylor]: Taking taylor expansion of 1/3 in re 0.748 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.748 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 0.755 * [taylor]: Taking taylor expansion of 1/3 in im 0.755 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 0.755 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 0.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.755 * [taylor]: Taking taylor expansion of 1/2 in im 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of (log re) in im 0.756 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of 0 in im 0.772 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 0.772 * [taylor]: Taking taylor expansion of -1/12 in im 0.772 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 0.772 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 0.772 * [taylor]: Taking taylor expansion of 1/3 in im 0.772 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 0.772 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 0.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.772 * [taylor]: Taking taylor expansion of 1/2 in im 0.772 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of (log re) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.805 * * * [progress]: simplifying candidates 0.806 * [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)))) (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 (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (exp (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt 1) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt 1) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (cbrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (cbrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (cbrt (+ (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 (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 0.810 * * [simplify]: iteration 0 : 221 enodes (cost 484 ) 0.814 * * [simplify]: iteration 1 : 682 enodes (cost 471 ) 0.824 * * [simplify]: iteration 2 : 2102 enodes (cost 468 ) 0.862 * * [simplify]: iteration 3 : 5001 enodes (cost 463 ) 0.865 * [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)))) (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 (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (exp (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt 1) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt 1) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (cbrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (cbrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (* (pow re 1/3) (pow 2 1/3)) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 0.865 * * * [progress]: adding candidates to table 1.108 * * [progress]: iteration 3 / 4 1.108 * * * [progress]: picking best candidate 1.119 * * * * [pick]: Picked # 1.119 * * * [progress]: localizing error 1.131 * * * [progress]: generating rewritten candidates 1.131 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.135 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.164 * * * [progress]: generating series expansions 1.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.164 * [taylor]: Taking taylor expansion of re in im 1.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.164 * [taylor]: Taking taylor expansion of im in im 1.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.165 * [taylor]: Taking taylor expansion of re in re 1.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.165 * [taylor]: Taking taylor expansion of im in re 1.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.165 * [taylor]: Taking taylor expansion of re in re 1.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.165 * [taylor]: Taking taylor expansion of im in re 1.166 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of 0 in im 1.170 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.170 * [taylor]: Taking taylor expansion of 1/2 in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.172 * [taylor]: Taking taylor expansion of 0 in im 1.173 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.174 * [taylor]: Taking taylor expansion of re in im 1.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.176 * [taylor]: Taking taylor expansion of im in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.176 * [taylor]: Taking taylor expansion of re in re 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.179 * [taylor]: Taking taylor expansion of im in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.179 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of 1 in im 1.181 * [taylor]: Taking taylor expansion of 0 in im 1.183 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.183 * [taylor]: Taking taylor expansion of 1/2 in im 1.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.186 * [taylor]: Taking taylor expansion of 0 in im 1.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.188 * [taylor]: Taking taylor expansion of im in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.188 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.188 * [taylor]: Taking taylor expansion of re in im 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.190 * [taylor]: Taking taylor expansion of im in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of 1 in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.197 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of 1/2 in im 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of 0 in im 1.202 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.202 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0 1.202 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.202 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.203 * [taylor]: Taking taylor expansion of im in im 1.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.203 * [taylor]: Taking taylor expansion of re in im 1.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.203 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.206 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.206 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.207 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (* 2 re) in re 1.209 * [taylor]: Taking taylor expansion of 2 in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.211 * [taylor]: Taking taylor expansion of 0 in re 1.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 1.215 * [taylor]: Taking taylor expansion of 1/2 in re 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of 0 in re 1.221 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 1.221 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 1.221 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 1.221 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.224 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.229 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.229 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.232 * [taylor]: Taking taylor expansion of re in im 1.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.233 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.233 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.234 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.234 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.236 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.236 * [taylor]: Taking taylor expansion of im in im 1.237 * [taylor]: Taking taylor expansion of 1 in re 1.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.237 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.241 * [taylor]: Taking taylor expansion of 1/2 in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.247 * [taylor]: Taking taylor expansion of 0 in re 1.250 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 1.250 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 1.250 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.256 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.256 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.256 * [taylor]: Taking taylor expansion of re in im 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.257 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.257 * [taylor]: Taking taylor expansion of re in im 1.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.260 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.260 * [taylor]: Taking taylor expansion of re in im 1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.260 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.260 * [taylor]: Taking taylor expansion of re in im 1.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of 1 in re 1.264 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.269 * [taylor]: Taking taylor expansion of 1/2 in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.273 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.274 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 1.274 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 1.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.274 * [taylor]: Taking taylor expansion of 2.0 in re 1.274 * [taylor]: Taking taylor expansion of im in re 1.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.274 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.274 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.274 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.274 * [taylor]: Taking taylor expansion of re in re 1.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.275 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.276 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.276 * [taylor]: Taking taylor expansion of 2.0 in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.277 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.277 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.277 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.277 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of re in im 1.281 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.281 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.281 * [taylor]: Taking taylor expansion of 2.0 in im 1.282 * [taylor]: Taking taylor expansion of im in im 1.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.282 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.282 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.282 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.282 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.282 * [taylor]: Taking taylor expansion of re in im 1.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.282 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.287 * [taylor]: Taking taylor expansion of 0 in re 1.289 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.289 * [taylor]: Taking taylor expansion of 2.0 in re 1.290 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.290 * [taylor]: Taking taylor expansion of 2 in re 1.290 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of 0 in re 1.310 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.310 * [taylor]: Taking taylor expansion of 1/4 in re 1.310 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.310 * [taylor]: Taking taylor expansion of 2.0 in re 1.311 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.311 * [taylor]: Taking taylor expansion of 2 in re 1.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.313 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.349 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.349 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.349 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.349 * [taylor]: Taking taylor expansion of 2.0 in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.350 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.357 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.358 * [taylor]: Taking taylor expansion of 2.0 in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.359 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.359 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.359 * [taylor]: Taking taylor expansion of re in im 1.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.361 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.363 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.363 * [taylor]: Taking taylor expansion of 2.0 in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.364 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.365 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.365 * [taylor]: Taking taylor expansion of re in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.367 * [taylor]: Taking taylor expansion of re in im 1.369 * [taylor]: Taking taylor expansion of 0 in re 1.370 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.371 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.371 * [taylor]: Taking taylor expansion of +nan.0 in re 1.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.371 * [taylor]: Taking taylor expansion of 2.0 in re 1.374 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.374 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.374 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.374 * [taylor]: Taking taylor expansion of +nan.0 in re 1.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.374 * [taylor]: Taking taylor expansion of 2.0 in re 1.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.375 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.375 * [taylor]: Taking taylor expansion of +nan.0 in re 1.375 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.375 * [taylor]: Taking taylor expansion of 2.0 in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.389 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.389 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.389 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.389 * [taylor]: Taking taylor expansion of +nan.0 in re 1.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.389 * [taylor]: Taking taylor expansion of 2.0 in re 1.390 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.390 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.390 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.390 * [taylor]: Taking taylor expansion of +nan.0 in re 1.390 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.390 * [taylor]: Taking taylor expansion of 2.0 in re 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.392 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.392 * [taylor]: Taking taylor expansion of +nan.0 in re 1.392 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.392 * [taylor]: Taking taylor expansion of 2.0 in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.406 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.406 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.406 * [taylor]: Taking taylor expansion of 2.0 in re 1.407 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.407 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.411 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.411 * [taylor]: Taking taylor expansion of 2.0 in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.413 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.417 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.417 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.417 * [taylor]: Taking taylor expansion of 2.0 in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.418 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.418 * [taylor]: Taking taylor expansion of re in im 1.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.422 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.422 * [taylor]: Taking taylor expansion of re in im 1.426 * [taylor]: Taking taylor expansion of 0 in re 1.428 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.428 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.428 * [taylor]: Taking taylor expansion of +nan.0 in re 1.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.428 * [taylor]: Taking taylor expansion of 2.0 in re 1.434 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.434 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.434 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.434 * [taylor]: Taking taylor expansion of +nan.0 in re 1.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.434 * [taylor]: Taking taylor expansion of 2.0 in re 1.435 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.435 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.435 * [taylor]: Taking taylor expansion of +nan.0 in re 1.435 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.435 * [taylor]: Taking taylor expansion of 2.0 in re 1.436 * [taylor]: Taking taylor expansion of re in re 1.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.448 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.448 * [taylor]: Taking taylor expansion of +nan.0 in re 1.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.448 * [taylor]: Taking taylor expansion of 2.0 in re 1.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.449 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.449 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.449 * [taylor]: Taking taylor expansion of +nan.0 in re 1.449 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.449 * [taylor]: Taking taylor expansion of 2.0 in re 1.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.450 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.450 * [taylor]: Taking taylor expansion of +nan.0 in re 1.450 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.450 * [taylor]: Taking taylor expansion of 2.0 in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.463 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.463 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.463 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.463 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.464 * [taylor]: Taking taylor expansion of re in im 1.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.464 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.464 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.464 * [taylor]: Taking taylor expansion of im in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.465 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.465 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of im in im 1.466 * [taylor]: Taking taylor expansion of -1 in im 1.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.467 * [taylor]: Taking taylor expansion of 1/2 in im 1.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.470 * [taylor]: Taking taylor expansion of 0 in im 1.471 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.471 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.472 * [taylor]: Taking taylor expansion of im in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.472 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.472 * [taylor]: Taking taylor expansion of re in im 1.474 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.474 * [taylor]: Taking taylor expansion of re in im 1.474 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.474 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.474 * [taylor]: Taking taylor expansion of re in re 1.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.477 * [taylor]: Taking taylor expansion of re in re 1.477 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.477 * [taylor]: Taking taylor expansion of im in re 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.477 * [taylor]: Taking taylor expansion of re in re 1.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.480 * [taylor]: Taking taylor expansion of re in re 1.480 * [taylor]: Taking taylor expansion of 0 in im 1.481 * [taylor]: Taking taylor expansion of 0 in im 1.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.484 * [taylor]: Taking taylor expansion of 1/2 in im 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.484 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of 0 in im 1.490 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.490 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.490 * [taylor]: Taking taylor expansion of re in im 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.490 * [taylor]: Taking taylor expansion of im in im 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.491 * [taylor]: Taking taylor expansion of re in im 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.493 * [taylor]: Taking taylor expansion of re in re 1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.493 * [taylor]: Taking taylor expansion of im in re 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.493 * [taylor]: Taking taylor expansion of re in re 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.496 * [taylor]: Taking taylor expansion of im in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.499 * [taylor]: Taking taylor expansion of 2 in im 1.499 * [taylor]: Taking taylor expansion of 0 in im 1.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.502 * [taylor]: Taking taylor expansion of 1/2 in im 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.502 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.502 * [taylor]: Taking taylor expansion of im in im 1.509 * [taylor]: Taking taylor expansion of 0 in im 1.511 * * * [progress]: simplifying candidates 1.512 * [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 im) (log im)) (log (- (sqrt (+ (* re re) (* im im))) re))) (- (log (* im im)) (log (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (- (* im im)) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im 1) (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ (* im im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) 1) (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) 1) (/ (- (sqrt (+ (* re re) (* im im))) re) im) (/ (* im im) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (log (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- 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) (- re) im re (* -1 re) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 1.517 * * [simplify]: iteration 0 : 369 enodes (cost 696 ) 1.524 * * [simplify]: iteration 1 : 1474 enodes (cost 620 ) 1.547 * * [simplify]: iteration 2 : 5001 enodes (cost 611 ) 1.550 * [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 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (- (sqrt (+ (* re re) (* im im))) re) 3)) (/ (pow im 6) (pow (- (sqrt (+ (* re re) (* im im))) re) 3)) (* (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (- (sqrt (+ (* re re) (* im im))) re) 3)) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (- (* im im)) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) im (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) im (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ (* im im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (pow im 2) (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (pow im 2) (/ (- (sqrt (+ (* re re) (* im im))) re) im) (/ (* im im) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im 2) (+ (pow im 2) 0)) (log (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (pow (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) 3) (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) 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)) (+ (* re (+ re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (* -1 re) (+ (pow im 2) 0) (+ (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) (* 2 re) (+ re im) 0 (+ (* (* +nan.0 (sqrt 2.0)) (- (* (sqrt 2) re) (* (sqrt 2) (pow re 2)))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2))))) (* +nan.0 (+ (- (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) 1.551 * * * [progress]: adding candidates to table 1.746 * * [progress]: iteration 4 / 4 1.746 * * * [progress]: picking best candidate 1.761 * * * * [pick]: Picked # 1.761 * * * [progress]: localizing error 1.779 * * * [progress]: generating rewritten candidates 1.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 1.783 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.787 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.808 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.817 * * * [progress]: generating series expansions 1.817 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1) 1.817 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.817 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.817 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.817 * [taylor]: Taking taylor expansion of re in im 1.817 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.817 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.818 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.818 * [taylor]: Taking taylor expansion of re in re 1.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.818 * [taylor]: Taking taylor expansion of im in re 1.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.819 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.819 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.819 * [taylor]: Taking taylor expansion of re in re 1.819 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.819 * [taylor]: Taking taylor expansion of im in re 1.820 * [taylor]: Taking taylor expansion of im in im 1.820 * [taylor]: Taking taylor expansion of 0 in im 1.821 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.821 * [taylor]: Taking taylor expansion of 1/2 in im 1.821 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of 0 in im 1.824 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.824 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.824 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.824 * [taylor]: Taking taylor expansion of re in im 1.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.826 * [taylor]: Taking taylor expansion of im in re 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.827 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.827 * [taylor]: Taking taylor expansion of re in re 1.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.829 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.829 * [taylor]: Taking taylor expansion of im in re 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.829 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.829 * [taylor]: Taking taylor expansion of re in re 1.832 * [taylor]: Taking taylor expansion of 1 in im 1.832 * [taylor]: Taking taylor expansion of 0 in im 1.834 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.834 * [taylor]: Taking taylor expansion of 1/2 in im 1.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.834 * [taylor]: Taking taylor expansion of im in im 1.837 * [taylor]: Taking taylor expansion of 0 in im 1.838 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.838 * [taylor]: Taking taylor expansion of im in im 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.839 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.839 * [taylor]: Taking taylor expansion of re in im 1.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.841 * [taylor]: Taking taylor expansion of im in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 1.846 * [taylor]: Taking taylor expansion of 1 in im 1.846 * [taylor]: Taking taylor expansion of 0 in im 1.848 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.848 * [taylor]: Taking taylor expansion of 1/2 in im 1.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.851 * [taylor]: Taking taylor expansion of 0 in im 1.853 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.853 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.853 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.853 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.853 * [taylor]: Taking taylor expansion of re in im 1.853 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.853 * [taylor]: Taking taylor expansion of im in im 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.854 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.854 * [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 (sqrt (+ (pow re 2) (pow im 2))) in re 1.854 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.854 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.854 * [taylor]: Taking taylor expansion of im in re 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of 0 in im 1.856 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.856 * [taylor]: Taking taylor expansion of 1/2 in im 1.856 * [taylor]: Taking taylor expansion of im in im 1.858 * [taylor]: Taking taylor expansion of 0 in im 1.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.859 * [taylor]: Taking taylor expansion of im in im 1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.860 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.860 * [taylor]: Taking taylor expansion of re in im 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.865 * [taylor]: Taking taylor expansion of im in re 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.866 * [taylor]: Taking taylor expansion of re in re 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.868 * [taylor]: Taking taylor expansion of im in re 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.868 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.868 * [taylor]: Taking taylor expansion of re in re 1.871 * [taylor]: Taking taylor expansion of 1 in im 1.871 * [taylor]: Taking taylor expansion of 0 in im 1.873 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.873 * [taylor]: Taking taylor expansion of 1/2 in im 1.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.873 * [taylor]: Taking taylor expansion of im in im 1.876 * [taylor]: Taking taylor expansion of 0 in im 1.877 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.877 * [taylor]: Taking taylor expansion of im in im 1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.878 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.878 * [taylor]: Taking taylor expansion of re in im 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.880 * [taylor]: Taking taylor expansion of im in re 1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.880 * [taylor]: Taking taylor expansion of re in re 1.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.883 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.883 * [taylor]: Taking taylor expansion of im in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.883 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.883 * [taylor]: Taking taylor expansion of re in re 1.885 * [taylor]: Taking taylor expansion of 1 in im 1.885 * [taylor]: Taking taylor expansion of 0 in im 1.887 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.887 * [taylor]: Taking taylor expansion of 1/2 in im 1.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.888 * [taylor]: Taking taylor expansion of im in im 1.891 * [taylor]: Taking taylor expansion of 0 in im 1.892 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.892 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 1.892 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 1.892 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.892 * [taylor]: Taking taylor expansion of 2.0 in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.893 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.893 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.893 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.893 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.894 * [taylor]: Taking taylor expansion of re in re 1.895 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.895 * [taylor]: Taking taylor expansion of 2.0 in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.896 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.896 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.896 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.896 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.896 * [taylor]: Taking taylor expansion of re in im 1.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of re in im 1.900 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.900 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.900 * [taylor]: Taking taylor expansion of 2.0 in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.901 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.901 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.901 * [taylor]: Taking taylor expansion of re in im 1.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of re in im 1.906 * [taylor]: Taking taylor expansion of 0 in re 1.908 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.908 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.908 * [taylor]: Taking taylor expansion of 2.0 in re 1.909 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.909 * [taylor]: Taking taylor expansion of 2 in re 1.909 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of 0 in re 1.930 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.930 * [taylor]: Taking taylor expansion of 1/4 in re 1.930 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.930 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.930 * [taylor]: Taking taylor expansion of 2.0 in re 1.930 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.930 * [taylor]: Taking taylor expansion of 2 in re 1.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.932 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.932 * [taylor]: Taking taylor expansion of re in re 1.969 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.970 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.970 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.970 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.970 * [taylor]: Taking taylor expansion of 2.0 in re 1.970 * [taylor]: Taking taylor expansion of im in re 1.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.971 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.971 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.971 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.971 * [taylor]: Taking taylor expansion of im in re 1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.971 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.971 * [taylor]: Taking taylor expansion of re in re 1.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.973 * [taylor]: Taking taylor expansion of re in re 1.978 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.978 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.978 * [taylor]: Taking taylor expansion of 2.0 in im 1.979 * [taylor]: Taking taylor expansion of im in im 1.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.980 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.980 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.980 * [taylor]: Taking taylor expansion of im in im 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.980 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.980 * [taylor]: Taking taylor expansion of re in im 1.982 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.982 * [taylor]: Taking taylor expansion of re in im 1.984 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.984 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.984 * [taylor]: Taking taylor expansion of 2.0 in im 1.985 * [taylor]: Taking taylor expansion of im in im 1.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.985 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.985 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.985 * [taylor]: Taking taylor expansion of im in im 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.986 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.986 * [taylor]: Taking taylor expansion of re in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.988 * [taylor]: Taking taylor expansion of re in im 1.990 * [taylor]: Taking taylor expansion of 0 in re 1.992 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.992 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.992 * [taylor]: Taking taylor expansion of +nan.0 in re 1.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.992 * [taylor]: Taking taylor expansion of 2.0 in re 1.995 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.995 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.995 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.995 * [taylor]: Taking taylor expansion of +nan.0 in re 1.995 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.995 * [taylor]: Taking taylor expansion of 2.0 in re 1.996 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.996 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.996 * [taylor]: Taking taylor expansion of +nan.0 in re 1.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.996 * [taylor]: Taking taylor expansion of 2.0 in re 1.997 * [taylor]: Taking taylor expansion of re in re 2.010 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.011 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.011 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.011 * [taylor]: Taking taylor expansion of +nan.0 in re 2.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.011 * [taylor]: Taking taylor expansion of 2.0 in re 2.011 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.011 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.011 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.011 * [taylor]: Taking taylor expansion of +nan.0 in re 2.011 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.011 * [taylor]: Taking taylor expansion of 2.0 in re 2.012 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.012 * [taylor]: Taking taylor expansion of re in re 2.013 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.013 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.013 * [taylor]: Taking taylor expansion of +nan.0 in re 2.013 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.013 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.013 * [taylor]: Taking taylor expansion of 2.0 in re 2.014 * [taylor]: Taking taylor expansion of re in re 2.027 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.027 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.027 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.027 * [taylor]: Taking taylor expansion of 2.0 in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.028 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.029 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.036 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.036 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.036 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.036 * [taylor]: Taking taylor expansion of 2.0 in im 2.037 * [taylor]: Taking taylor expansion of im in im 2.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.037 * [taylor]: Taking taylor expansion of re in im 2.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.037 * [taylor]: Taking taylor expansion of im in im 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.038 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.041 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.042 * [taylor]: Taking taylor expansion of 2.0 in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.043 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.043 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.043 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.043 * [taylor]: Taking taylor expansion of re in im 2.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.043 * [taylor]: Taking taylor expansion of im in im 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.043 * [taylor]: Taking taylor expansion of re in im 2.047 * [taylor]: Taking taylor expansion of 0 in re 2.049 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.049 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.049 * [taylor]: Taking taylor expansion of +nan.0 in re 2.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.049 * [taylor]: Taking taylor expansion of 2.0 in re 2.055 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.055 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.055 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.055 * [taylor]: Taking taylor expansion of +nan.0 in re 2.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.055 * [taylor]: Taking taylor expansion of 2.0 in re 2.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.056 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.056 * [taylor]: Taking taylor expansion of +nan.0 in re 2.056 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.056 * [taylor]: Taking taylor expansion of 2.0 in re 2.057 * [taylor]: Taking taylor expansion of re in re 2.069 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.069 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.069 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.069 * [taylor]: Taking taylor expansion of +nan.0 in re 2.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.069 * [taylor]: Taking taylor expansion of 2.0 in re 2.070 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.070 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.070 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.070 * [taylor]: Taking taylor expansion of +nan.0 in re 2.070 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.070 * [taylor]: Taking taylor expansion of 2.0 in re 2.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.070 * [taylor]: Taking taylor expansion of re in re 2.071 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.071 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.071 * [taylor]: Taking taylor expansion of +nan.0 in re 2.071 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.071 * [taylor]: Taking taylor expansion of 2.0 in re 2.072 * [taylor]: Taking taylor expansion of re in re 2.084 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 2.084 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.084 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.084 * [taylor]: Taking taylor expansion of im in im 2.085 * [taylor]: Taking taylor expansion of re in im 2.085 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.085 * [taylor]: Taking taylor expansion of re in re 2.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.085 * [taylor]: Taking taylor expansion of im in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.086 * [taylor]: Taking taylor expansion of im in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.087 * [taylor]: Taking taylor expansion of im in im 2.087 * [taylor]: Taking taylor expansion of -1 in im 2.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.089 * [taylor]: Taking taylor expansion of 1/2 in im 2.089 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.089 * [taylor]: Taking taylor expansion of im in im 2.091 * [taylor]: Taking taylor expansion of 0 in im 2.093 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.093 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.093 * [taylor]: Taking taylor expansion of im in im 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.093 * [taylor]: Taking taylor expansion of re in im 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.095 * [taylor]: Taking taylor expansion of re in im 2.095 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.095 * [taylor]: Taking taylor expansion of im in re 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.098 * [taylor]: Taking taylor expansion of re in re 2.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.098 * [taylor]: Taking taylor expansion of im in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.101 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.101 * [taylor]: Taking taylor expansion of re in re 2.102 * [taylor]: Taking taylor expansion of 0 in im 2.103 * [taylor]: Taking taylor expansion of 0 in im 2.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.106 * [taylor]: Taking taylor expansion of 1/2 in im 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.106 * [taylor]: Taking taylor expansion of im in im 2.110 * [taylor]: Taking taylor expansion of 0 in im 2.112 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.112 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.112 * [taylor]: Taking taylor expansion of re in im 2.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.112 * [taylor]: Taking taylor expansion of im in im 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.113 * [taylor]: Taking taylor expansion of re in im 2.115 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.115 * [taylor]: Taking taylor expansion of re in re 2.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.115 * [taylor]: Taking taylor expansion of im in re 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.115 * [taylor]: Taking taylor expansion of re in re 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.120 * [taylor]: Taking taylor expansion of re in re 2.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.121 * [taylor]: Taking taylor expansion of im in re 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.121 * [taylor]: Taking taylor expansion of re in re 2.124 * [taylor]: Taking taylor expansion of 2 in im 2.124 * [taylor]: Taking taylor expansion of 0 in im 2.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.127 * [taylor]: Taking taylor expansion of 1/2 in im 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.127 * [taylor]: Taking taylor expansion of im in im 2.131 * [taylor]: Taking taylor expansion of 0 in im 2.133 * * * [progress]: simplifying candidates 2.134 * [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)))) (log (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (* (* (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (sqrt 2.0) (sqrt (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im im))) (sqrt (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- 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) (- re) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 2.139 * * [simplify]: iteration 0 : 294 enodes (cost 590 ) 2.144 * * [simplify]: iteration 1 : 979 enodes (cost 551 ) 2.159 * * [simplify]: iteration 2 : 3232 enodes (cost 539 ) 2.218 * * [simplify]: iteration 3 : 5001 enodes (cost 536 ) 2.221 * [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)))) (log (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (pow (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 3) (sqrt 2.0) (fabs (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) 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)) (+ (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) im re (* -1 re) im re (* -1 re) (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (* +nan.0 (+ (- (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) 2.221 * * * [progress]: adding candidates to table 2.445 * [progress]: [Phase 3 of 3] Extracting. 2.445 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.447 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re) 2.447 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.487 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 2.508 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 2.552 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # #) 2.597 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # #) 2.642 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # #) 2.688 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.750 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.802 * * * [regime]: Found split indices: #