2.478 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.032 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.038 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.039 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.039 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.065 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.069 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.087 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.092 * [taylor]: Taking taylor expansion of 1/2 in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.095 * [taylor]: Taking taylor expansion of re in im 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.100 * [taylor]: Taking taylor expansion of im in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.102 * [taylor]: Taking taylor expansion of 1 in im 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.112 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of 1 in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of 1/2 in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.126 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of -1 in im 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.131 * [taylor]: Taking taylor expansion of 1/2 in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.137 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.147 * [taylor]: Taking taylor expansion of 1/2 in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of 2 in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.165 * [taylor]: Taking taylor expansion of 1/2 in im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.171 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.171 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [taylor]: Taking taylor expansion of 1 in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.177 * [taylor]: Taking taylor expansion of re in im 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.179 * [taylor]: Taking taylor expansion of 1 in im 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.187 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.187 * [taylor]: Taking taylor expansion of re in im 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.188 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [taylor]: Taking taylor expansion of 1 in im 0.190 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.200 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.200 * [taylor]: Taking taylor expansion of 2.0 in im 0.201 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.205 * [taylor]: Taking taylor expansion of 2.0 in re 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.206 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.206 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.207 * [taylor]: Taking taylor expansion of 2.0 in re 0.208 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.208 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.210 * [taylor]: Taking taylor expansion of 2.0 in im 0.211 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.211 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.214 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.214 * [taylor]: Taking taylor expansion of 1/2 in im 0.214 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) 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 0.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.236 * [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 0.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.237 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.237 * [taylor]: Taking taylor expansion of re in im 0.239 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.239 * [taylor]: Taking taylor expansion of re in im 0.241 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.241 * [taylor]: Taking taylor expansion of 2.0 in re 0.241 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.241 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.241 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.244 * [taylor]: Taking taylor expansion of re in re 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 0 in im 0.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.258 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.258 * [taylor]: Taking taylor expansion of +nan.0 in im 0.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.258 * [taylor]: Taking taylor expansion of 2.0 in im 0.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.266 * [taylor]: Taking taylor expansion of +nan.0 in im 0.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.266 * [taylor]: Taking taylor expansion of 2.0 in im 0.266 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.285 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.285 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.285 * [taylor]: Taking taylor expansion of +nan.0 in im 0.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.285 * [taylor]: Taking taylor expansion of 2.0 in im 0.286 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.287 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.287 * [taylor]: Taking taylor expansion of +nan.0 in im 0.287 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.287 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.310 * [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 0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.310 * [taylor]: Taking taylor expansion of 2.0 in im 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.311 * [taylor]: Taking taylor expansion of re in im 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.311 * [taylor]: Taking taylor expansion of im in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.311 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.311 * [taylor]: Taking taylor expansion of re in im 0.315 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.315 * [taylor]: Taking taylor expansion of 2.0 in re 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.316 * [taylor]: Taking taylor expansion of re in re 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.316 * [taylor]: Taking taylor expansion of im in re 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.316 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.316 * [taylor]: Taking taylor expansion of re in re 0.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.320 * [taylor]: Taking taylor expansion of 2.0 in re 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.320 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.320 * [taylor]: Taking taylor expansion of re in re 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.321 * [taylor]: Taking taylor expansion of im in re 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.321 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.321 * [taylor]: Taking taylor expansion of re in re 0.325 * [taylor]: Taking taylor expansion of 0 in im 0.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.326 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.326 * [taylor]: Taking taylor expansion of +nan.0 in im 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.326 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.331 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.331 * [taylor]: Taking taylor expansion of +nan.0 in im 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.339 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.339 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.341 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.341 * [taylor]: Taking taylor expansion of +nan.0 in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.341 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.352 * [taylor]: Taking taylor expansion of +nan.0 in im 0.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.352 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.353 * [taylor]: Taking taylor expansion of +nan.0 in im 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.353 * [taylor]: Taking taylor expansion of 2.0 in im 0.369 * * * [progress]: simplifying candidates 0.370 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- 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) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (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 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.376 * * [simplify]: iteration 0 : 342 enodes (cost 834 ) 0.382 * * [simplify]: iteration 1 : 1366 enodes (cost 586 ) 0.411 * * [simplify]: iteration 2 : 5001 enodes (cost 533 ) 0.414 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (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)) (- (hypot re im) re) (* -1 re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.415 * * * [progress]: adding candidates to table 0.643 * * [progress]: iteration 2 / 4 0.643 * * * [progress]: picking best candidate 0.653 * * * * [pick]: Picked # 0.654 * * * [progress]: localizing error 0.662 * * * [progress]: generating rewritten candidates 0.662 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.667 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 1 2) 0.667 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.675 * * * [progress]: generating series expansions 0.675 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.675 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.675 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.675 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.677 * [taylor]: Taking taylor expansion of (* re re) in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of (* im im) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.678 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.678 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.678 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.678 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.678 * [taylor]: Taking taylor expansion of (* re re) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.679 * [taylor]: Taking taylor expansion of re in re 0.679 * [taylor]: Taking taylor expansion of (* im im) in re 0.679 * [taylor]: Taking taylor expansion of im in re 0.679 * [taylor]: Taking taylor expansion of im in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.680 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.680 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.680 * [taylor]: Taking taylor expansion of (* re re) in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [taylor]: Taking taylor expansion of (* im im) in re 0.680 * [taylor]: Taking taylor expansion of im in re 0.680 * [taylor]: Taking taylor expansion of im in re 0.681 * [taylor]: Taking taylor expansion of re in re 0.681 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.684 * [taylor]: Taking taylor expansion of 1/2 in im 0.684 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.688 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.688 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.688 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.688 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.688 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.688 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.691 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.691 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.691 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.691 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.691 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.695 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.695 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.695 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of 0 in im 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.703 * [taylor]: Taking taylor expansion of 1/2 in im 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.712 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.713 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.713 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.713 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.713 * [taylor]: Taking taylor expansion of -1 in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.713 * [taylor]: Taking taylor expansion of -1 in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.713 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.713 * [taylor]: Taking taylor expansion of -1 in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.713 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.713 * [taylor]: Taking taylor expansion of -1 in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.720 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.720 * [taylor]: Taking taylor expansion of -1 in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.721 * [taylor]: Taking taylor expansion of -1 in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.721 * [taylor]: Taking taylor expansion of -1 in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.721 * [taylor]: Taking taylor expansion of -1 in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.724 * [taylor]: Taking taylor expansion of 2 in im 0.725 * [taylor]: Taking taylor expansion of 0 in im 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.728 * [taylor]: Taking taylor expansion of 1/2 in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.733 * [taylor]: Taking taylor expansion of 0 in im 0.734 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 1 2) 0.735 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.735 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.735 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.735 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.735 * [taylor]: Taking taylor expansion of (* re re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (* im im) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.736 * [taylor]: Taking taylor expansion of (* re re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* im im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.737 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.737 * [taylor]: Taking taylor expansion of (* re re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (* im im) in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.740 * [taylor]: Taking taylor expansion of 1/2 in im 0.740 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.743 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.746 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.746 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.747 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.747 * [taylor]: Taking taylor expansion of im in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.747 * [taylor]: Taking taylor expansion of im in re 0.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.750 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.753 * [taylor]: Taking taylor expansion of 1 in im 0.753 * [taylor]: Taking taylor expansion of 0 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 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.760 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.760 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.760 * [taylor]: Taking taylor expansion of -1 in im 0.760 * [taylor]: Taking taylor expansion of re in im 0.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.760 * [taylor]: Taking taylor expansion of -1 in im 0.760 * [taylor]: Taking taylor expansion of re in im 0.760 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.760 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.760 * [taylor]: Taking taylor expansion of -1 in im 0.760 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.761 * [taylor]: Taking taylor expansion of -1 in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.763 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.763 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.763 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.763 * [taylor]: Taking taylor expansion of -1 in re 0.763 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.764 * [taylor]: Taking taylor expansion of -1 in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.764 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.764 * [taylor]: Taking taylor expansion of -1 in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.764 * [taylor]: Taking taylor expansion of -1 in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.767 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.767 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.767 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.767 * [taylor]: Taking taylor expansion of -1 in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.767 * [taylor]: Taking taylor expansion of -1 in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.768 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.768 * [taylor]: Taking taylor expansion of -1 in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.768 * [taylor]: Taking taylor expansion of -1 in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.770 * [taylor]: Taking taylor expansion of 1 in im 0.770 * [taylor]: Taking taylor expansion of 0 in im 0.773 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.773 * [taylor]: Taking taylor expansion of 1/2 in im 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of 0 in im 0.778 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.778 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.778 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.778 * [taylor]: Taking taylor expansion of 2.0 in im 0.779 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.779 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.779 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.779 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.779 * [taylor]: Taking taylor expansion of (* re re) in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.779 * [taylor]: Taking taylor expansion of (* im im) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.780 * [taylor]: Taking taylor expansion of re in im 0.784 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.784 * [taylor]: Taking taylor expansion of 2.0 in re 0.785 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.785 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.785 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.785 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.785 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.785 * [taylor]: Taking taylor expansion of (* re re) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (* im im) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.787 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.787 * [taylor]: Taking taylor expansion of 2.0 in re 0.788 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.788 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.788 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.788 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.788 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.788 * [taylor]: Taking taylor expansion of (* re re) in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of (* im im) in re 0.788 * [taylor]: Taking taylor expansion of im in re 0.788 * [taylor]: Taking taylor expansion of im in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.790 * [taylor]: Taking taylor expansion of 2.0 in im 0.791 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.797 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.797 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.797 * [taylor]: Taking taylor expansion of 1/2 in im 0.797 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.797 * [taylor]: Taking taylor expansion of 2.0 in im 0.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.798 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.798 * [taylor]: Taking taylor expansion of im in im 0.817 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.817 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.817 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.818 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.818 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.818 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.818 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.818 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.818 * [taylor]: Taking taylor expansion of re in im 0.818 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.818 * [taylor]: Taking taylor expansion of re in im 0.818 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.818 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.821 * [taylor]: Taking taylor expansion of re in im 0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.822 * [taylor]: Taking taylor expansion of 2.0 in im 0.823 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.823 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.823 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.823 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.823 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.823 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.824 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.831 * [taylor]: Taking taylor expansion of 2.0 in re 0.832 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.832 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.832 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.832 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.832 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.836 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.841 * [taylor]: Taking taylor expansion of 2.0 in re 0.842 * [taylor]: Taking taylor expansion of 0 in im 0.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.843 * [taylor]: Taking taylor expansion of +nan.0 in im 0.843 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.844 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.844 * [taylor]: Taking taylor expansion of im in im 0.851 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.851 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.851 * [taylor]: Taking taylor expansion of +nan.0 in im 0.851 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.851 * [taylor]: Taking taylor expansion of 2.0 in im 0.852 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.869 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.869 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.869 * [taylor]: Taking taylor expansion of +nan.0 in im 0.869 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.869 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.869 * [taylor]: Taking taylor expansion of 2.0 in im 0.869 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.870 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.870 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.870 * [taylor]: Taking taylor expansion of +nan.0 in im 0.871 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.871 * [taylor]: Taking taylor expansion of 2.0 in im 0.871 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.896 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.896 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.896 * [taylor]: Taking taylor expansion of 2.0 in im 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.897 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.897 * [taylor]: Taking taylor expansion of re in im 0.897 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.897 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.897 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.897 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.897 * [taylor]: Taking taylor expansion of -1 in im 0.897 * [taylor]: Taking taylor expansion of re in im 0.897 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.898 * [taylor]: Taking taylor expansion of -1 in im 0.898 * [taylor]: Taking taylor expansion of re in im 0.898 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.898 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.898 * [taylor]: Taking taylor expansion of -1 in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.898 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.898 * [taylor]: Taking taylor expansion of -1 in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.902 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.902 * [taylor]: Taking taylor expansion of 2.0 in re 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.903 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.903 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.903 * [taylor]: Taking taylor expansion of -1 in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.904 * [taylor]: Taking taylor expansion of -1 in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.904 * [taylor]: Taking taylor expansion of -1 in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.904 * [taylor]: Taking taylor expansion of -1 in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.908 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.908 * [taylor]: Taking taylor expansion of 2.0 in re 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.908 * [taylor]: Taking taylor expansion of re in re 0.909 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.909 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.909 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.909 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.909 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.909 * [taylor]: Taking taylor expansion of -1 in re 0.909 * [taylor]: Taking taylor expansion of re in re 0.909 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.909 * [taylor]: Taking taylor expansion of -1 in re 0.909 * [taylor]: Taking taylor expansion of re in re 0.910 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.914 * [taylor]: Taking taylor expansion of 0 in im 0.915 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.915 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.915 * [taylor]: Taking taylor expansion of +nan.0 in im 0.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.915 * [taylor]: Taking taylor expansion of 2.0 in im 0.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.920 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.920 * [taylor]: Taking taylor expansion of +nan.0 in im 0.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.920 * [taylor]: Taking taylor expansion of 2.0 in im 0.929 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.929 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.930 * [taylor]: Taking taylor expansion of +nan.0 in im 0.930 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.930 * [taylor]: Taking taylor expansion of 2.0 in im 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.931 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.931 * [taylor]: Taking taylor expansion of +nan.0 in im 0.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.931 * [taylor]: Taking taylor expansion of 2.0 in im 0.943 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.943 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.943 * [taylor]: Taking taylor expansion of +nan.0 in im 0.943 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.943 * [taylor]: Taking taylor expansion of 2.0 in im 0.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.943 * [taylor]: Taking taylor expansion of im in im 0.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.944 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.944 * [taylor]: Taking taylor expansion of +nan.0 in im 0.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.944 * [taylor]: Taking taylor expansion of 2.0 in im 0.959 * * * [progress]: simplifying candidates 0.960 * [simplify]: Simplifying using # : (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (/ (exp (* 1 (hypot re im))) (exp re)) (log (- (* 1 (hypot re im)) re)) (exp (- (* 1 (hypot re im)) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (* (* (- (* 1 (hypot re im)) re) (- (* 1 (hypot re im)) re)) (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re))) (- re) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (+ (* 1 (hypot re im)) re) (- (hypot re im) re) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (- (* 1 (hypot re im)) re))) (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (- (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (+ (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (- im re) 0 (* -2 re) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.964 * * [simplify]: iteration 0 : 235 enodes (cost 265 ) 0.968 * * [simplify]: iteration 1 : 803 enodes (cost 220 ) 0.991 * * [simplify]: iteration 2 : 5002 enodes (cost 213 ) 0.992 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (* -1 re) (exp (- (hypot re im) re)) (log (- (* 1 (hypot re im)) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (fma re (fma 1 (hypot re im) re) (* (hypot re im) (hypot re im))) (* -1 re) (fma (hypot re im) (hypot re im) (- (pow re 2))) (fma 1 (hypot re im) re) (- (hypot re im) re) (* -1 re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (pow (sqrt (* 2.0 (- (* 1 (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (- (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (+ (* 1 (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (- im re) 0 (* -2 re) im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.993 * * * [progress]: adding candidates to table 1.130 * * [progress]: iteration 3 / 4 1.130 * * * [progress]: picking best candidate 1.145 * * * * [pick]: Picked # 1.145 * * * [progress]: localizing error 1.159 * * * [progress]: generating rewritten candidates 1.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.169 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 1.176 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 1.177 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.181 * * * [progress]: generating series expansions 1.181 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.181 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.181 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.181 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.181 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.181 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.181 * [taylor]: Taking taylor expansion of (* re re) in im 1.181 * [taylor]: Taking taylor expansion of re in im 1.181 * [taylor]: Taking taylor expansion of re in im 1.181 * [taylor]: Taking taylor expansion of (* im im) in im 1.181 * [taylor]: Taking taylor expansion of im in im 1.181 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.183 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.183 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.183 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.183 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.183 * [taylor]: Taking taylor expansion of (* re re) in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of (* im im) in re 1.183 * [taylor]: Taking taylor expansion of im in re 1.183 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.184 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.184 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.184 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.184 * [taylor]: Taking taylor expansion of (* re re) in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (* im im) in re 1.184 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of im in im 1.186 * [taylor]: Taking taylor expansion of -1 in im 1.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.188 * [taylor]: Taking taylor expansion of 1/2 in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.188 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of 0 in im 1.192 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.192 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.192 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.192 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.192 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.192 * [taylor]: Taking taylor expansion of re in im 1.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.193 * [taylor]: Taking taylor expansion of re in im 1.193 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.193 * [taylor]: Taking taylor expansion of im in im 1.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.193 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.196 * [taylor]: Taking taylor expansion of re in im 1.196 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.196 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.196 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.196 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.196 * [taylor]: Taking taylor expansion of im in re 1.197 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.197 * [taylor]: Taking taylor expansion of im in re 1.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.199 * [taylor]: Taking taylor expansion of re in re 1.199 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.199 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.199 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.199 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.200 * [taylor]: Taking taylor expansion of im in re 1.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.200 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of 0 in im 1.204 * [taylor]: Taking taylor expansion of 0 in im 1.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.208 * [taylor]: Taking taylor expansion of 1/2 in im 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.208 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of 0 in im 1.214 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.214 * [taylor]: Taking taylor expansion of re in im 1.214 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.214 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.214 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.214 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.215 * [taylor]: Taking taylor expansion of -1 in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.215 * [taylor]: Taking taylor expansion of -1 in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.215 * [taylor]: Taking taylor expansion of -1 in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.215 * [taylor]: Taking taylor expansion of -1 in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.218 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.218 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.219 * [taylor]: Taking taylor expansion of -1 in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.219 * [taylor]: Taking taylor expansion of -1 in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.219 * [taylor]: Taking taylor expansion of -1 in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.223 * [taylor]: Taking taylor expansion of -1 in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.223 * [taylor]: Taking taylor expansion of -1 in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of 2 in im 1.227 * [taylor]: Taking taylor expansion of 0 in im 1.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.230 * [taylor]: Taking taylor expansion of 1/2 in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.234 * [taylor]: Taking taylor expansion of 0 in im 1.236 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 1.236 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.236 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.236 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.236 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.236 * [taylor]: Taking taylor expansion of (* re re) in im 1.236 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of (* im im) in im 1.236 * [taylor]: Taking taylor expansion of im in im 1.236 * [taylor]: Taking taylor expansion of im in im 1.237 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.238 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.238 * [taylor]: Taking taylor expansion of (* re re) in re 1.238 * [taylor]: Taking taylor expansion of re in re 1.238 * [taylor]: Taking taylor expansion of re in re 1.238 * [taylor]: Taking taylor expansion of (* im im) in re 1.238 * [taylor]: Taking taylor expansion of im in re 1.238 * [taylor]: Taking taylor expansion of im in re 1.239 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.239 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.239 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.239 * [taylor]: Taking taylor expansion of (* re re) in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [taylor]: Taking taylor expansion of (* im im) in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [taylor]: Taking taylor expansion of 0 in im 1.242 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.242 * [taylor]: Taking taylor expansion of 1/2 in im 1.242 * [taylor]: Taking taylor expansion of im in im 1.247 * [taylor]: Taking taylor expansion of 0 in im 1.248 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.248 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.251 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.251 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.251 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.252 * [taylor]: Taking taylor expansion of im in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.252 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.255 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.255 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.258 * [taylor]: Taking taylor expansion of 1 in im 1.258 * [taylor]: Taking taylor expansion of 0 in im 1.260 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.260 * [taylor]: Taking taylor expansion of 1/2 in im 1.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of 0 in im 1.265 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.265 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.265 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.265 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.266 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.266 * [taylor]: Taking taylor expansion of -1 in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.269 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.269 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.269 * [taylor]: Taking taylor expansion of -1 in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.269 * [taylor]: Taking taylor expansion of -1 in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.269 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.269 * [taylor]: Taking taylor expansion of -1 in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.272 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.272 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.272 * [taylor]: Taking taylor expansion of -1 in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of im in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [taylor]: Taking taylor expansion of im in re 1.276 * [taylor]: Taking taylor expansion of 1 in im 1.276 * [taylor]: Taking taylor expansion of 0 in im 1.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.278 * [taylor]: Taking taylor expansion of 1/2 in im 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.282 * [taylor]: Taking taylor expansion of 0 in im 1.283 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 2 1) 1.283 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.283 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.283 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.283 * [taylor]: Taking taylor expansion of (* re re) in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.283 * [taylor]: Taking taylor expansion of (* im im) in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.285 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.285 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.285 * [taylor]: Taking taylor expansion of (* re re) in re 1.285 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of (* im im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.286 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.286 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.286 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.286 * [taylor]: Taking taylor expansion of (* re re) in re 1.286 * [taylor]: Taking taylor expansion of re in re 1.286 * [taylor]: Taking taylor expansion of re in re 1.286 * [taylor]: Taking taylor expansion of (* im im) in re 1.286 * [taylor]: Taking taylor expansion of im in re 1.286 * [taylor]: Taking taylor expansion of im in re 1.287 * [taylor]: Taking taylor expansion of im in im 1.287 * [taylor]: Taking taylor expansion of 0 in im 1.289 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.289 * [taylor]: Taking taylor expansion of 1/2 in im 1.289 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of 0 in im 1.291 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.291 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.292 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.292 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.295 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.295 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.295 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.296 * [taylor]: Taking taylor expansion of im in re 1.298 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.298 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of 1 in im 1.301 * [taylor]: Taking taylor expansion of 0 in im 1.304 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.304 * [taylor]: Taking taylor expansion of 1/2 in im 1.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.308 * [taylor]: Taking taylor expansion of 0 in im 1.309 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.309 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.309 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.309 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.309 * [taylor]: Taking taylor expansion of -1 in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.309 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.309 * [taylor]: Taking taylor expansion of -1 in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.309 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.309 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.309 * [taylor]: Taking taylor expansion of -1 in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.309 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.310 * [taylor]: Taking taylor expansion of -1 in im 1.310 * [taylor]: Taking taylor expansion of im in im 1.312 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.312 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.312 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.312 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.313 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.313 * [taylor]: Taking taylor expansion of -1 in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.313 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.313 * [taylor]: Taking taylor expansion of -1 in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.313 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.313 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.313 * [taylor]: Taking taylor expansion of -1 in re 1.313 * [taylor]: Taking taylor expansion of im in re 1.313 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.313 * [taylor]: Taking taylor expansion of -1 in re 1.313 * [taylor]: Taking taylor expansion of im in re 1.316 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.316 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.316 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.316 * [taylor]: Taking taylor expansion of -1 in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.316 * [taylor]: Taking taylor expansion of -1 in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.317 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.317 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.317 * [taylor]: Taking taylor expansion of -1 in re 1.317 * [taylor]: Taking taylor expansion of im in re 1.317 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.317 * [taylor]: Taking taylor expansion of -1 in re 1.317 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of 1 in im 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.322 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.322 * [taylor]: Taking taylor expansion of 1/2 in im 1.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.322 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of 0 in im 1.329 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.329 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.329 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.329 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.329 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.330 * [taylor]: Taking taylor expansion of (* re re) in im 1.330 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of (* im im) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.331 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.331 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.331 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.331 * [taylor]: Taking taylor expansion of (* re re) in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of (* im im) in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.332 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.332 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.332 * [taylor]: Taking taylor expansion of (* re re) in re 1.332 * [taylor]: Taking taylor expansion of re in re 1.332 * [taylor]: Taking taylor expansion of re in re 1.332 * [taylor]: Taking taylor expansion of (* im im) in re 1.332 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of 0 in im 1.335 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.335 * [taylor]: Taking taylor expansion of 1/2 in im 1.335 * [taylor]: Taking taylor expansion of im in im 1.337 * [taylor]: Taking taylor expansion of 0 in im 1.338 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.338 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.338 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.338 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.341 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.341 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.341 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.342 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.342 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.344 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.344 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.344 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.345 * [taylor]: Taking taylor expansion of re in re 1.345 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.348 * [taylor]: Taking taylor expansion of 1 in im 1.348 * [taylor]: Taking taylor expansion of 0 in im 1.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.350 * [taylor]: Taking taylor expansion of 1/2 in im 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.354 * [taylor]: Taking taylor expansion of 0 in im 1.355 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.355 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.355 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.355 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.355 * [taylor]: Taking taylor expansion of -1 in im 1.355 * [taylor]: Taking taylor expansion of re in im 1.355 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.355 * [taylor]: Taking taylor expansion of -1 in im 1.355 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.359 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.359 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.359 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.359 * [taylor]: Taking taylor expansion of -1 in re 1.359 * [taylor]: Taking taylor expansion of re in re 1.359 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.359 * [taylor]: Taking taylor expansion of -1 in re 1.359 * [taylor]: Taking taylor expansion of re in re 1.359 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.359 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.362 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.362 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.362 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.362 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.362 * [taylor]: Taking taylor expansion of -1 in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.363 * [taylor]: Taking taylor expansion of -1 in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.363 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.363 * [taylor]: Taking taylor expansion of -1 in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.363 * [taylor]: Taking taylor expansion of -1 in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of 1 in im 1.366 * [taylor]: Taking taylor expansion of 0 in im 1.368 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.368 * [taylor]: Taking taylor expansion of 1/2 in im 1.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.372 * [taylor]: Taking taylor expansion of 0 in im 1.373 * * * [progress]: simplifying candidates 1.374 * [simplify]: Simplifying using # : (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- re) (/ (exp (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (pow (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (* re re) (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- re) (- (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.379 * * [simplify]: iteration 0 : 211 enodes (cost 391 ) 1.384 * * [simplify]: iteration 1 : 869 enodes (cost 298 ) 1.414 * * [simplify]: iteration 2 : 5001 enodes (cost 281 ) 1.415 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* -1 re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (+ re (hypot re im)))) (* -1 re) (fma (hypot re im) (hypot re im) (- (* re re))) (+ re (hypot re im)) (- (hypot re im) re) (* -1 re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.416 * * * [progress]: adding candidates to table 1.642 * * [progress]: iteration 4 / 4 1.642 * * * [progress]: picking best candidate 1.659 * * * * [pick]: Picked # 1.659 * * * [progress]: localizing error 1.676 * * * [progress]: generating rewritten candidates 1.676 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.688 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 2) 1.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) 1.708 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 1.716 * * * [progress]: generating series expansions 1.716 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.717 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.717 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.717 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.717 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.717 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.717 * [taylor]: Taking taylor expansion of (* re re) in im 1.717 * [taylor]: Taking taylor expansion of re in im 1.717 * [taylor]: Taking taylor expansion of re in im 1.717 * [taylor]: Taking taylor expansion of (* im im) in im 1.717 * [taylor]: Taking taylor expansion of im in im 1.717 * [taylor]: Taking taylor expansion of im in im 1.719 * [taylor]: Taking taylor expansion of re in im 1.719 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.719 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.719 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.719 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.719 * [taylor]: Taking taylor expansion of (* re re) in re 1.719 * [taylor]: Taking taylor expansion of re in re 1.719 * [taylor]: Taking taylor expansion of re in re 1.719 * [taylor]: Taking taylor expansion of (* im im) in re 1.719 * [taylor]: Taking taylor expansion of im in re 1.719 * [taylor]: Taking taylor expansion of im in re 1.720 * [taylor]: Taking taylor expansion of re in re 1.720 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.720 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.720 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.720 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.720 * [taylor]: Taking taylor expansion of (* re re) in re 1.720 * [taylor]: Taking taylor expansion of re in re 1.720 * [taylor]: Taking taylor expansion of re in re 1.720 * [taylor]: Taking taylor expansion of (* im im) in re 1.720 * [taylor]: Taking taylor expansion of im in re 1.720 * [taylor]: Taking taylor expansion of im in re 1.721 * [taylor]: Taking taylor expansion of re in re 1.722 * [taylor]: Taking taylor expansion of im in im 1.722 * [taylor]: Taking taylor expansion of -1 in im 1.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.724 * [taylor]: Taking taylor expansion of 1/2 in im 1.724 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.724 * [taylor]: Taking taylor expansion of im in im 1.727 * [taylor]: Taking taylor expansion of 0 in im 1.728 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.728 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.728 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.729 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.729 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.729 * [taylor]: Taking taylor expansion of re in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.729 * [taylor]: Taking taylor expansion of re in im 1.729 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.729 * [taylor]: Taking taylor expansion of im in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.729 * [taylor]: Taking taylor expansion of im in im 1.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.732 * [taylor]: Taking taylor expansion of re in im 1.732 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.732 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.732 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.732 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.732 * [taylor]: Taking taylor expansion of re in re 1.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.732 * [taylor]: Taking taylor expansion of re in re 1.733 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.733 * [taylor]: Taking taylor expansion of im in re 1.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.733 * [taylor]: Taking taylor expansion of im in re 1.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.735 * [taylor]: Taking taylor expansion of re in re 1.735 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.735 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.736 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.736 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.739 * [taylor]: Taking taylor expansion of re in re 1.739 * [taylor]: Taking taylor expansion of 0 in im 1.740 * [taylor]: Taking taylor expansion of 0 in im 1.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.744 * [taylor]: Taking taylor expansion of 1/2 in im 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.744 * [taylor]: Taking taylor expansion of im in im 1.748 * [taylor]: Taking taylor expansion of 0 in im 1.750 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.750 * [taylor]: Taking taylor expansion of re in im 1.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.751 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.751 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.758 * [taylor]: Taking taylor expansion of re in re 1.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.759 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.759 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.759 * [taylor]: Taking taylor expansion of -1 in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.759 * [taylor]: Taking taylor expansion of -1 in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.759 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.759 * [taylor]: Taking taylor expansion of -1 in re 1.759 * [taylor]: Taking taylor expansion of im in re 1.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.759 * [taylor]: Taking taylor expansion of -1 in re 1.760 * [taylor]: Taking taylor expansion of im in re 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.762 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.763 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.766 * [taylor]: Taking taylor expansion of 2 in im 1.767 * [taylor]: Taking taylor expansion of 0 in im 1.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.770 * [taylor]: Taking taylor expansion of 1/2 in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.770 * [taylor]: Taking taylor expansion of im in im 1.775 * [taylor]: Taking taylor expansion of 0 in im 1.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 2) 1.777 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0 1.777 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im 1.777 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 1.777 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 1.777 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 1.777 * [taylor]: Taking taylor expansion of 1/4 in im 1.777 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.777 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.777 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.777 * [taylor]: Taking taylor expansion of (* re re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (* im im) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.778 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re 1.778 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.779 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.779 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.779 * [taylor]: Taking taylor expansion of 1/4 in re 1.779 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.779 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.779 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.779 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.779 * [taylor]: Taking taylor expansion of (* re re) in re 1.779 * [taylor]: Taking taylor expansion of re in re 1.779 * [taylor]: Taking taylor expansion of re in re 1.779 * [taylor]: Taking taylor expansion of (* im im) in re 1.779 * [taylor]: Taking taylor expansion of im in re 1.779 * [taylor]: Taking taylor expansion of im in re 1.780 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re 1.780 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.780 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.780 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.780 * [taylor]: Taking taylor expansion of 1/4 in re 1.780 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.780 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.780 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.780 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.780 * [taylor]: Taking taylor expansion of (* re re) in re 1.780 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of (* im im) in re 1.780 * [taylor]: Taking taylor expansion of im in re 1.780 * [taylor]: Taking taylor expansion of im in re 1.782 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 1.782 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 1.782 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 1.782 * [taylor]: Taking taylor expansion of 1/4 in im 1.782 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 1.782 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.785 * [taylor]: Taking taylor expansion of 0 in im 1.793 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 1.793 * [taylor]: Taking taylor expansion of 3/8 in im 1.793 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 1.793 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 1.793 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 1.793 * [taylor]: Taking taylor expansion of 1/4 in im 1.793 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.793 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.793 * [taylor]: Taking taylor expansion of im in im 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.814 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0 1.814 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im 1.814 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 1.814 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.814 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.814 * [taylor]: Taking taylor expansion of 1/4 in im 1.814 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.814 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.814 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.814 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.814 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.814 * [taylor]: Taking taylor expansion of re in im 1.814 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.814 * [taylor]: Taking taylor expansion of re in im 1.814 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.814 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.814 * [taylor]: Taking taylor expansion of im in im 1.814 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.814 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re 1.818 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 1.818 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.818 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.818 * [taylor]: Taking taylor expansion of 1/4 in re 1.818 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.818 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.818 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.818 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.818 * [taylor]: Taking taylor expansion of re in re 1.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.818 * [taylor]: Taking taylor expansion of re in re 1.818 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.818 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.818 * [taylor]: Taking taylor expansion of im in re 1.819 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.819 * [taylor]: Taking taylor expansion of im in re 1.822 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re 1.822 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 1.822 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.822 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.822 * [taylor]: Taking taylor expansion of 1/4 in re 1.822 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.822 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.822 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.822 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.822 * [taylor]: Taking taylor expansion of re in re 1.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.822 * [taylor]: Taking taylor expansion of re in re 1.822 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.822 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.822 * [taylor]: Taking taylor expansion of im in re 1.823 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.823 * [taylor]: Taking taylor expansion of im in re 1.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.826 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.826 * [taylor]: Taking taylor expansion of 1/4 in im 1.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.826 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.826 * [taylor]: Taking taylor expansion of re in im 1.829 * [taylor]: Taking taylor expansion of 0 in im 1.837 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 1.837 * [taylor]: Taking taylor expansion of 3/8 in im 1.837 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 1.837 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.837 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.837 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.837 * [taylor]: Taking taylor expansion of 1/4 in im 1.837 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.837 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.837 * [taylor]: Taking taylor expansion of re in im 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.860 * [taylor]: Taking taylor expansion of 0 in im 1.860 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0 1.860 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im 1.861 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 1.861 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.861 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.861 * [taylor]: Taking taylor expansion of 1/4 in im 1.861 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.861 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.861 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.861 * [taylor]: Taking taylor expansion of -1 in im 1.861 * [taylor]: Taking taylor expansion of re in im 1.861 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.861 * [taylor]: Taking taylor expansion of -1 in im 1.861 * [taylor]: Taking taylor expansion of re in im 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.861 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.861 * [taylor]: Taking taylor expansion of -1 in im 1.861 * [taylor]: Taking taylor expansion of im in im 1.861 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.861 * [taylor]: Taking taylor expansion of -1 in im 1.861 * [taylor]: Taking taylor expansion of im in im 1.865 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re 1.865 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 1.865 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.865 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.865 * [taylor]: Taking taylor expansion of 1/4 in re 1.865 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.865 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.865 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.865 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.865 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.865 * [taylor]: Taking taylor expansion of -1 in re 1.865 * [taylor]: Taking taylor expansion of re in re 1.865 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.865 * [taylor]: Taking taylor expansion of -1 in re 1.865 * [taylor]: Taking taylor expansion of re in re 1.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.866 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.866 * [taylor]: Taking taylor expansion of -1 in re 1.866 * [taylor]: Taking taylor expansion of im in re 1.866 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.866 * [taylor]: Taking taylor expansion of -1 in re 1.866 * [taylor]: Taking taylor expansion of im in re 1.869 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re 1.869 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 1.869 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.869 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.869 * [taylor]: Taking taylor expansion of 1/4 in re 1.869 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.869 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.869 * [taylor]: Taking taylor expansion of -1 in re 1.869 * [taylor]: Taking taylor expansion of re in re 1.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.870 * [taylor]: Taking taylor expansion of -1 in re 1.870 * [taylor]: Taking taylor expansion of re in re 1.870 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.870 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.870 * [taylor]: Taking taylor expansion of -1 in re 1.870 * [taylor]: Taking taylor expansion of im in re 1.870 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.870 * [taylor]: Taking taylor expansion of -1 in re 1.870 * [taylor]: Taking taylor expansion of im in re 1.873 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.873 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.873 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.873 * [taylor]: Taking taylor expansion of 1/4 in im 1.873 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.873 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.873 * [taylor]: Taking taylor expansion of re in im 1.876 * [taylor]: Taking taylor expansion of 0 in im 1.885 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 1.885 * [taylor]: Taking taylor expansion of 3/8 in im 1.885 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 1.885 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.885 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.885 * [taylor]: Taking taylor expansion of 1/4 in im 1.885 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.885 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.885 * [taylor]: Taking taylor expansion of re in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.905 * [taylor]: Taking taylor expansion of 0 in im 1.905 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2) 1.905 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.905 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.906 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.906 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.906 * [taylor]: Taking taylor expansion of (* re re) in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [taylor]: Taking taylor expansion of (* im im) in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.907 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.907 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.907 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.907 * [taylor]: Taking taylor expansion of (* re re) in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.907 * [taylor]: Taking taylor expansion of (* im im) in re 1.907 * [taylor]: Taking taylor expansion of im in re 1.907 * [taylor]: Taking taylor expansion of im in re 1.908 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.908 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.908 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.908 * [taylor]: Taking taylor expansion of (* re re) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of (* im im) in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.909 * [taylor]: Taking taylor expansion of im in im 1.910 * [taylor]: Taking taylor expansion of 0 in im 1.911 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.911 * [taylor]: Taking taylor expansion of 1/2 in im 1.911 * [taylor]: Taking taylor expansion of im in im 1.913 * [taylor]: Taking taylor expansion of 0 in im 1.914 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.914 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.914 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.914 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.914 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.914 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.917 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.917 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.918 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.918 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.918 * [taylor]: Taking taylor expansion of im in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.918 * [taylor]: Taking taylor expansion of im in re 1.921 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.921 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.921 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.921 * [taylor]: Taking taylor expansion of im in re 1.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.922 * [taylor]: Taking taylor expansion of im in re 1.924 * [taylor]: Taking taylor expansion of 1 in im 1.924 * [taylor]: Taking taylor expansion of 0 in im 1.927 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.927 * [taylor]: Taking taylor expansion of 1/2 in im 1.927 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.927 * [taylor]: Taking taylor expansion of im in im 1.933 * [taylor]: Taking taylor expansion of 0 in im 1.934 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.935 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.935 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.935 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.935 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.935 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.935 * [taylor]: Taking taylor expansion of -1 in im 1.935 * [taylor]: Taking taylor expansion of re in im 1.935 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.935 * [taylor]: Taking taylor expansion of -1 in im 1.935 * [taylor]: Taking taylor expansion of re in im 1.935 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.935 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.935 * [taylor]: Taking taylor expansion of -1 in im 1.935 * [taylor]: Taking taylor expansion of im in im 1.935 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.935 * [taylor]: Taking taylor expansion of -1 in im 1.935 * [taylor]: Taking taylor expansion of im in im 1.938 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.938 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.938 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.938 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.938 * [taylor]: Taking taylor expansion of -1 in re 1.938 * [taylor]: Taking taylor expansion of re in re 1.939 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.939 * [taylor]: Taking taylor expansion of -1 in re 1.939 * [taylor]: Taking taylor expansion of re in re 1.939 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.939 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.939 * [taylor]: Taking taylor expansion of -1 in re 1.939 * [taylor]: Taking taylor expansion of im in re 1.939 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.939 * [taylor]: Taking taylor expansion of -1 in re 1.939 * [taylor]: Taking taylor expansion of im in re 1.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.942 * [taylor]: Taking taylor expansion of -1 in re 1.942 * [taylor]: Taking taylor expansion of re in re 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.942 * [taylor]: Taking taylor expansion of -1 in re 1.942 * [taylor]: Taking taylor expansion of re in re 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.942 * [taylor]: Taking taylor expansion of -1 in re 1.942 * [taylor]: Taking taylor expansion of im in re 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.942 * [taylor]: Taking taylor expansion of -1 in re 1.943 * [taylor]: Taking taylor expansion of im in re 1.945 * [taylor]: Taking taylor expansion of 1 in im 1.945 * [taylor]: Taking taylor expansion of 0 in im 1.948 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.948 * [taylor]: Taking taylor expansion of 1/2 in im 1.948 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.948 * [taylor]: Taking taylor expansion of im in im 1.951 * [taylor]: Taking taylor expansion of 0 in im 1.953 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 2 1) 1.953 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 1.953 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 1.953 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 1.953 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 1.953 * [taylor]: Taking taylor expansion of 1/4 in im 1.953 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.953 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.953 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.953 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.953 * [taylor]: Taking taylor expansion of (* re re) in im 1.953 * [taylor]: Taking taylor expansion of re in im 1.953 * [taylor]: Taking taylor expansion of re in im 1.953 * [taylor]: Taking taylor expansion of (* im im) in im 1.953 * [taylor]: Taking taylor expansion of im in im 1.953 * [taylor]: Taking taylor expansion of im in im 1.954 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.954 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.954 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.954 * [taylor]: Taking taylor expansion of 1/4 in re 1.954 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.954 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.954 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.954 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.954 * [taylor]: Taking taylor expansion of (* re re) in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.955 * [taylor]: Taking taylor expansion of (* im im) in re 1.955 * [taylor]: Taking taylor expansion of im in re 1.955 * [taylor]: Taking taylor expansion of im in re 1.956 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.956 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.956 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.956 * [taylor]: Taking taylor expansion of 1/4 in re 1.956 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.956 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.956 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.956 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.956 * [taylor]: Taking taylor expansion of (* re re) in re 1.956 * [taylor]: Taking taylor expansion of re in re 1.956 * [taylor]: Taking taylor expansion of re in re 1.956 * [taylor]: Taking taylor expansion of (* im im) in re 1.956 * [taylor]: Taking taylor expansion of im in re 1.956 * [taylor]: Taking taylor expansion of im in re 1.957 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 1.957 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 1.957 * [taylor]: Taking taylor expansion of 1/4 in im 1.957 * [taylor]: Taking taylor expansion of (log im) in im 1.957 * [taylor]: Taking taylor expansion of im in im 1.959 * [taylor]: Taking taylor expansion of 0 in im 1.964 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 1.964 * [taylor]: Taking taylor expansion of 1/8 in im 1.964 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 1.964 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 1.964 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 1.964 * [taylor]: Taking taylor expansion of 1/4 in im 1.964 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 1.964 * [taylor]: Taking taylor expansion of (pow im 7) in im 1.964 * [taylor]: Taking taylor expansion of im in im 1.974 * [taylor]: Taking taylor expansion of 0 in im 1.983 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 1.983 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 1.983 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.983 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.983 * [taylor]: Taking taylor expansion of 1/4 in im 1.983 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.983 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.983 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.983 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.983 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.983 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.983 * [taylor]: Taking taylor expansion of re in im 1.983 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.983 * [taylor]: Taking taylor expansion of re in im 1.983 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.983 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.983 * [taylor]: Taking taylor expansion of im in im 1.984 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.984 * [taylor]: Taking taylor expansion of im in im 1.987 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 1.987 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.987 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.987 * [taylor]: Taking taylor expansion of 1/4 in re 1.987 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.987 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.987 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.987 * [taylor]: Taking taylor expansion of re in re 1.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.988 * [taylor]: Taking taylor expansion of re in re 1.988 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.988 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.988 * [taylor]: Taking taylor expansion of im in re 1.988 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.988 * [taylor]: Taking taylor expansion of im in re 1.991 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 1.991 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.991 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.991 * [taylor]: Taking taylor expansion of 1/4 in re 1.991 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.992 * [taylor]: Taking taylor expansion of re in re 1.992 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.992 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.992 * [taylor]: Taking taylor expansion of im in re 1.992 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.992 * [taylor]: Taking taylor expansion of im in re 1.995 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 1.995 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 1.995 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 1.995 * [taylor]: Taking taylor expansion of -1/4 in im 1.995 * [taylor]: Taking taylor expansion of (log re) in im 1.995 * [taylor]: Taking taylor expansion of re in im 1.997 * [taylor]: Taking taylor expansion of 0 in im 2.003 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 2.003 * [taylor]: Taking taylor expansion of 1/8 in im 2.003 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 2.003 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 2.003 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 2.003 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 2.003 * [taylor]: Taking taylor expansion of 1/4 in im 2.003 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.003 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.003 * [taylor]: Taking taylor expansion of re in im 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.003 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.003 * [taylor]: Taking taylor expansion of im in im 2.023 * [taylor]: Taking taylor expansion of 0 in im 2.023 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 2.023 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 2.023 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.023 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.023 * [taylor]: Taking taylor expansion of 1/4 in im 2.023 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.023 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.024 * [taylor]: Taking taylor expansion of -1 in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 2.027 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.027 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.027 * [taylor]: Taking taylor expansion of 1/4 in re 2.027 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.027 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.028 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.028 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.028 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.028 * [taylor]: Taking taylor expansion of -1 in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.028 * [taylor]: Taking taylor expansion of -1 in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.028 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.028 * [taylor]: Taking taylor expansion of -1 in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.028 * [taylor]: Taking taylor expansion of -1 in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.031 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 2.031 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.031 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.032 * [taylor]: Taking taylor expansion of 1/4 in re 2.032 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.032 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.032 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.032 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of im in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.036 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 2.036 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 2.036 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 2.036 * [taylor]: Taking taylor expansion of -1/4 in im 2.036 * [taylor]: Taking taylor expansion of (log re) in im 2.036 * [taylor]: Taking taylor expansion of re in im 2.038 * [taylor]: Taking taylor expansion of 0 in im 2.044 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 2.044 * [taylor]: Taking taylor expansion of 1/8 in im 2.044 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 2.044 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 2.044 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 2.044 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 2.044 * [taylor]: Taking taylor expansion of 1/4 in im 2.044 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.044 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.060 * [taylor]: Taking taylor expansion of 0 in im 2.061 * * * [progress]: simplifying candidates 2.063 * [simplify]: Simplifying using # : (fma 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (log1p (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (- re) (/ (exp (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))) (exp re)) (log (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (exp (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (* (cbrt (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (cbrt (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re))) (cbrt (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (* (* (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re) (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (sqrt (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (sqrt (- (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re)) (- (pow (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))) (+ (* re re) (* (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re))) (- re) (- (* (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))) (* re re)) (+ (* 1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) re) (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) (- re) (expm1 (pow (sqrt (sqrt (hypot re im))) 3)) (log1p (pow (sqrt (sqrt (hypot 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(hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (hypot re im) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (hypot re im) (* (sqrt (hypot re im)) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (hypot re im) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (fabs (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 1/2) (pow (sqrt (sqrt (hypot re im))) 1/2) 1 (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 1/2) (pow (sqrt (sqrt (hypot re im))) 1/2) 1 (sqrt (sqrt (hypot re im))) 1/4 1/2 1/4 (pow (sqrt (sqrt (hypot re im))) 1/2) (pow (sqrt (sqrt (hypot re im))) 1/2) (- im re) 0 (* -2 re) (fma (* 3/8 (pow re 2)) (pow (/ 1 (pow im 5)) 1/4) (pow im 3/4)) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) im re (* -1 re) (fma 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 2.134 * * * [progress]: adding candidates to table 2.503 * [progress]: [Phase 3 of 3] Extracting. 2.503 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.507 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.507 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.546 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.585 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.635 * * * [regime]: Found split indices: #