2.941 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.036 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.037 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.037 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.070 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.091 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.132 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.136 * [taylor]: Taking taylor expansion of 1/2 in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.138 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [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 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of 1 in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of 1/2 in im 0.148 * [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 0.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.154 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of 1 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of 1/2 in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.167 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.167 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.168 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.168 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of -1 in im 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.172 * [taylor]: Taking taylor expansion of 1/2 in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 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 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.179 * [taylor]: Taking taylor expansion of re in im 0.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.182 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.189 * [taylor]: Taking taylor expansion of 1/2 in im 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.189 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.189 * [taylor]: Taking taylor expansion of im in im 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of 2 in im 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.210 * [taylor]: Taking taylor expansion of 1/2 in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.210 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.216 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.216 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.217 * [taylor]: Taking taylor expansion of 2.0 in im 0.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.217 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.217 * [taylor]: Taking taylor expansion of re in im 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.218 * [taylor]: Taking taylor expansion of re in im 0.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.222 * [taylor]: Taking taylor expansion of 2.0 in re 0.222 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.222 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.222 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.222 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.222 * [taylor]: Taking taylor expansion of im in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.224 * [taylor]: Taking taylor expansion of 2.0 in re 0.225 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.225 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.225 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.226 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.227 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.231 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.231 * [taylor]: Taking taylor expansion of 1/2 in im 0.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.231 * [taylor]: Taking taylor expansion of 2.0 in im 0.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.253 * [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 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.256 * [taylor]: Taking taylor expansion of re in im 0.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.257 * [taylor]: Taking taylor expansion of 2.0 in re 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.266 * [taylor]: Taking taylor expansion of 2.0 in re 0.266 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.266 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.274 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.275 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.275 * [taylor]: Taking taylor expansion of +nan.0 in im 0.275 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.275 * [taylor]: Taking taylor expansion of 2.0 in im 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.283 * [taylor]: Taking taylor expansion of +nan.0 in im 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.283 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.302 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.302 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.302 * [taylor]: Taking taylor expansion of +nan.0 in im 0.302 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.303 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.303 * [taylor]: Taking taylor expansion of im in im 0.304 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.304 * [taylor]: Taking taylor expansion of +nan.0 in im 0.304 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.304 * [taylor]: Taking taylor expansion of 2.0 in im 0.305 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.305 * [taylor]: Taking taylor expansion of im in im 0.328 * [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 0.328 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.328 * [taylor]: Taking taylor expansion of 2.0 in im 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.329 * [taylor]: Taking taylor expansion of re in im 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.329 * [taylor]: Taking taylor expansion of im in im 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.330 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.330 * [taylor]: Taking taylor expansion of re in im 0.333 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.333 * [taylor]: Taking taylor expansion of 2.0 in re 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.338 * [taylor]: Taking taylor expansion of 2.0 in re 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.339 * [taylor]: Taking taylor expansion of re in re 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.339 * [taylor]: Taking taylor expansion of im in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.339 * [taylor]: Taking taylor expansion of re in re 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.344 * [taylor]: Taking taylor expansion of +nan.0 in im 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.350 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.350 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.350 * [taylor]: Taking taylor expansion of +nan.0 in im 0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.350 * [taylor]: Taking taylor expansion of 2.0 in im 0.358 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.358 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.358 * [taylor]: Taking taylor expansion of +nan.0 in im 0.358 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.358 * [taylor]: Taking taylor expansion of 2.0 in im 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.360 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.360 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.360 * [taylor]: Taking taylor expansion of +nan.0 in im 0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.360 * [taylor]: Taking taylor expansion of 2.0 in im 0.371 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.371 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.371 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.371 * [taylor]: Taking taylor expansion of +nan.0 in im 0.371 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.371 * [taylor]: Taking taylor expansion of 2.0 in im 0.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.371 * [taylor]: Taking taylor expansion of im in im 0.372 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.372 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.372 * [taylor]: Taking taylor expansion of +nan.0 in im 0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.372 * [taylor]: Taking taylor expansion of 2.0 in im 0.388 * * * [progress]: simplifying candidates 0.390 * [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 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (* 1 1)) (sqrt (+ (* re re) (* im im))) (sqrt 1) (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 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(* 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 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 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 (* 1 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 1)) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* 1 1)) (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 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) (- 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 (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 (* (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 1) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (* 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (* 2.0 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt 2.0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 1) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (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))))))) 0.396 * * [simplify]: iteration 0 : 366 enodes (cost 1122 ) 0.403 * * [simplify]: iteration 1 : 1359 enodes (cost 746 ) 0.430 * * [simplify]: iteration 2 : 5001 enodes (cost 689 ) 0.434 * [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) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re 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 (- (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 (- (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) (* -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 (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)) (fabs (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt (* 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs (cbrt 2.0)) (sqrt (* (cbrt 2.0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (- (sqrt (+ (* re re) (* im im))) re))) 1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.435 * * * [progress]: adding candidates to table 0.674 * * [progress]: iteration 2 / 4 0.674 * * * [progress]: picking best candidate 0.685 * * * * [pick]: Picked # 0.685 * * * [progress]: localizing error 0.693 * * * [progress]: generating rewritten candidates 0.693 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 2) 0.699 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.717 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2 1) 0.720 * * * [progress]: generating series expansions 0.720 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 2) 0.721 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.721 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.721 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.721 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.721 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.721 * [taylor]: Taking taylor expansion of (* re re) in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (* im im) in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.722 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.722 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.722 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.722 * [taylor]: Taking taylor expansion of (* re re) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of (* im im) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.724 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.724 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.724 * [taylor]: Taking taylor expansion of (* re re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (* im im) in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of -1 in im 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.727 * [taylor]: Taking taylor expansion of 1/2 in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.730 * [taylor]: Taking taylor expansion of 0 in im 0.732 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.732 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.732 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.735 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.735 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.735 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.739 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.739 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.739 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.740 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.740 * [taylor]: Taking taylor expansion of im in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.740 * [taylor]: Taking taylor expansion of im in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.747 * [taylor]: Taking taylor expansion of 1/2 in im 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.754 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.754 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.754 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.754 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.754 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.754 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.754 * [taylor]: Taking taylor expansion of -1 in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.754 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.754 * [taylor]: Taking taylor expansion of -1 in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.755 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.755 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.755 * [taylor]: Taking taylor expansion of -1 in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.755 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.755 * [taylor]: Taking taylor expansion of -1 in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.758 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.758 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.758 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.758 * [taylor]: Taking taylor expansion of -1 in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.759 * [taylor]: Taking taylor expansion of -1 in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.759 * [taylor]: Taking taylor expansion of -1 in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.759 * [taylor]: Taking taylor expansion of -1 in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.762 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.762 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.762 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.762 * [taylor]: Taking taylor expansion of -1 in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.762 * [taylor]: Taking taylor expansion of -1 in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.763 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.763 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.763 * [taylor]: Taking taylor expansion of -1 in re 0.763 * [taylor]: Taking taylor expansion of im in re 0.763 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.763 * [taylor]: Taking taylor expansion of -1 in re 0.763 * [taylor]: Taking taylor expansion of im in re 0.766 * [taylor]: Taking taylor expansion of 2 in im 0.766 * [taylor]: Taking taylor expansion of 0 in im 0.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.770 * [taylor]: Taking taylor expansion of 1/2 in im 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.770 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of 0 in im 0.776 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.776 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.776 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.776 * [taylor]: Taking taylor expansion of 2.0 in im 0.780 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.780 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.780 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.780 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.780 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.780 * [taylor]: Taking taylor expansion of (* re re) in im 0.780 * [taylor]: Taking taylor expansion of re in im 0.780 * [taylor]: Taking taylor expansion of re in im 0.780 * [taylor]: Taking taylor expansion of (* im im) in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.781 * [taylor]: Taking taylor expansion of re in im 0.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.785 * [taylor]: Taking taylor expansion of 2.0 in re 0.786 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.786 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.786 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.786 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.786 * [taylor]: Taking taylor expansion of (* re re) in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [taylor]: Taking taylor expansion of (* im im) in re 0.786 * [taylor]: Taking taylor expansion of im in re 0.786 * [taylor]: Taking taylor expansion of im in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.788 * [taylor]: Taking taylor expansion of 2.0 in re 0.789 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.789 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.789 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.789 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.789 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.789 * [taylor]: Taking taylor expansion of (* re re) in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of (* im im) in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.796 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.796 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.796 * [taylor]: Taking taylor expansion of 1/2 in im 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.796 * [taylor]: Taking taylor expansion of 2.0 in im 0.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.797 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.797 * [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 0.817 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.817 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.817 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.817 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.817 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.817 * [taylor]: Taking taylor expansion of re in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.817 * [taylor]: Taking taylor expansion of re in im 0.817 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.820 * [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 0.822 * [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 0.823 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.823 * [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 0.832 * [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 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 0.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.835 * [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 0.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.842 * [taylor]: Taking taylor expansion of +nan.0 in im 0.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.843 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.843 * [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 0.870 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.871 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.871 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.871 * [taylor]: Taking taylor expansion of +nan.0 in im 0.871 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) 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 4) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.872 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.872 * [taylor]: Taking taylor expansion of +nan.0 in im 0.872 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.872 * [taylor]: Taking taylor expansion of 2.0 in im 0.873 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.873 * [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 0.897 * [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 im) (/ -1 im)) in im 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.897 * [taylor]: Taking taylor expansion of -1 in im 0.897 * [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 0.903 * [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 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 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.909 * [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 0.921 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.921 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.921 * [taylor]: Taking taylor expansion of +nan.0 in im 0.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.921 * [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 0.930 * [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 0.947 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.947 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.947 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.948 * [taylor]: Taking taylor expansion of +nan.0 in im 0.948 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.948 * [taylor]: Taking taylor expansion of 2.0 in im 0.948 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.949 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.949 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.949 * [taylor]: Taking taylor expansion of +nan.0 in im 0.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.949 * [taylor]: Taking taylor expansion of 2.0 in im 0.962 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2 1) 0.962 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.962 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.962 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.962 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.962 * [taylor]: Taking taylor expansion of (* re re) in im 0.962 * [taylor]: Taking taylor expansion of re in im 0.962 * [taylor]: Taking taylor expansion of re in im 0.962 * [taylor]: Taking taylor expansion of (* im im) in im 0.963 * [taylor]: Taking taylor expansion of im in im 0.963 * [taylor]: Taking taylor expansion of im in im 0.964 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.964 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.964 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.964 * [taylor]: Taking taylor expansion of (* re re) in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (* im im) in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.965 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.965 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.965 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.965 * [taylor]: Taking taylor expansion of (* re re) in re 0.965 * [taylor]: Taking taylor expansion of re in re 0.965 * [taylor]: Taking taylor expansion of re in re 0.965 * [taylor]: Taking taylor expansion of (* im im) in re 0.965 * [taylor]: Taking taylor expansion of im in re 0.965 * [taylor]: Taking taylor expansion of im in re 0.966 * [taylor]: Taking taylor expansion of im in im 0.966 * [taylor]: Taking taylor expansion of 0 in im 0.968 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.968 * [taylor]: Taking taylor expansion of 1/2 in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.970 * [taylor]: Taking taylor expansion of 0 in im 0.970 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.971 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.971 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.971 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.971 * [taylor]: Taking taylor expansion of re in im 0.971 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.971 * [taylor]: Taking taylor expansion of re in im 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.971 * [taylor]: Taking taylor expansion of im in im 0.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.971 * [taylor]: Taking taylor expansion of im in im 0.974 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.974 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.974 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.977 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.977 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.977 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.977 * [taylor]: Taking taylor expansion of re in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of 1 in im 0.980 * [taylor]: Taking taylor expansion of 0 in im 0.983 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.983 * [taylor]: Taking taylor expansion of 1/2 in im 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.987 * [taylor]: Taking taylor expansion of 0 in im 0.988 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.988 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.988 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.988 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.988 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.989 * [taylor]: Taking taylor expansion of -1 in im 0.989 * [taylor]: Taking taylor expansion of im in im 0.992 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.992 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.992 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.992 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.992 * [taylor]: Taking taylor expansion of -1 in re 0.992 * [taylor]: Taking taylor expansion of re in re 0.992 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.992 * [taylor]: Taking taylor expansion of -1 in re 0.992 * [taylor]: Taking taylor expansion of re in re 0.992 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.992 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.992 * [taylor]: Taking taylor expansion of -1 in re 0.992 * [taylor]: Taking taylor expansion of im in re 0.993 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.993 * [taylor]: Taking taylor expansion of -1 in re 0.993 * [taylor]: Taking taylor expansion of im in re 0.995 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.995 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.995 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of re in re 0.996 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.996 * [taylor]: Taking taylor expansion of -1 in re 0.996 * [taylor]: Taking taylor expansion of re in re 0.996 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.996 * [taylor]: Taking taylor expansion of -1 in re 0.996 * [taylor]: Taking taylor expansion of im in re 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.996 * [taylor]: Taking taylor expansion of -1 in re 0.996 * [taylor]: Taking taylor expansion of im in re 0.999 * [taylor]: Taking taylor expansion of 1 in im 0.999 * [taylor]: Taking taylor expansion of 0 in im 1.001 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.001 * [taylor]: Taking taylor expansion of 1/2 in im 1.001 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.001 * [taylor]: Taking taylor expansion of im in im 1.005 * [taylor]: Taking taylor expansion of 0 in im 1.006 * * * [progress]: simplifying candidates 1.008 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (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 (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (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 (* (cbrt (* 2.0 (* 1 (- (hypot re im) re)))) (cbrt (* 2.0 (* 1 (- (hypot re im) re)))))) (sqrt (cbrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt 1) (sqrt (* 2.0 (* 1 (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (* 1 (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (sqrt (* 1 (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* (sqrt 1) (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* (sqrt 1) (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* 2.0 1)) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* (cbrt (* 1 (- (hypot re im) re))) (cbrt (* 1 (- (hypot re im) re)))))) (sqrt (cbrt (* 1 (- (hypot re im) re)))) (sqrt (* 2.0 (sqrt (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 1 (- (hypot re im) re)))) (sqrt (* 2.0 1)) (sqrt (* 1 (- (hypot re im) re))) (sqrt (* 2.0 (* (sqrt 1) (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 1) (sqrt (- (hypot re im) re)))) (sqrt (* 2.0 (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* 1 (sqrt (- (hypot re im) re)))) (sqrt (* 2.0 (* 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (* 2.0 (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (* 2.0 (* 1 1))) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* 1 (+ (sqrt (hypot re im)) (sqrt re))))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (* 2.0 (* 1 1))) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* (cbrt 1) (cbrt 1)))) (sqrt (* (cbrt 1) (- (hypot re im) re))) (sqrt (* 2.0 (sqrt 1))) (sqrt (* (sqrt 1) (- (hypot re im) re))) (sqrt (* 2.0 1)) (sqrt (* 1 (- (hypot re im) re))) (sqrt (* 2.0 (- (hypot re im) re))) (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt 2.0) (* 1 (- (hypot re im) re)))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (sqrt 1) (sqrt (* 2.0 (* 1 (- (hypot re im) re)))) (sqrt (* 1 (- (hypot re im) re))) (sqrt 2.0) (sqrt (* 2.0 (* 1 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (* 1 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) 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)) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) im re (* -1 re) 1.013 * * [simplify]: iteration 0 : 350 enodes (cost 572 ) 1.019 * * [simplify]: iteration 1 : 1225 enodes (cost 465 ) 1.042 * * [simplify]: iteration 2 : 5001 enodes (cost 446 ) 1.045 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (* -1 re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (* -1 re) (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 (- (hypot re im) re))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (fabs (cbrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (cbrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) 1 (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (* 2.0 (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (* 2.0 (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (* 2.0 (* 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (* 2.0 (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* 1 (+ (sqrt (hypot re im)) (sqrt re))))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (- (hypot re im) re))) 1 (fabs (cbrt 2.0)) (sqrt (* (cbrt 2.0) (* 1 (- (hypot re im) re)))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) 1 (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* 2.0 (* 1 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (* 1 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) 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)) (- im re) 0 (* -2 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)))) im re (* -1 re) 1.045 * * * [progress]: adding candidates to table 1.237 * * [progress]: iteration 3 / 4 1.237 * * * [progress]: picking best candidate 1.253 * * * * [pick]: Picked # 1.253 * * * [progress]: localizing error 1.265 * * * [progress]: generating rewritten candidates 1.265 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 2) 1.269 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.312 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.346 * * * [progress]: generating series expansions 1.346 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 2) 1.347 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.347 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.347 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.347 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.347 * [taylor]: Taking taylor expansion of (* re re) in im 1.347 * [taylor]: Taking taylor expansion of re in im 1.347 * [taylor]: Taking taylor expansion of re in im 1.347 * [taylor]: Taking taylor expansion of (* im im) in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.348 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.349 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.349 * [taylor]: Taking taylor expansion of (* re re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (* im im) in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.350 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.350 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.350 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.350 * [taylor]: Taking taylor expansion of (* re re) in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (* im im) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of -1 in im 1.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.354 * [taylor]: Taking taylor expansion of 1/2 in im 1.354 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.354 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.363 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.363 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.363 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.363 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.367 * [taylor]: Taking taylor expansion of re in im 1.367 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.367 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.367 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.368 * [taylor]: Taking taylor expansion of im in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.368 * [taylor]: Taking taylor expansion of im in re 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.371 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.371 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of 0 in im 1.376 * [taylor]: Taking taylor expansion of 0 in im 1.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.379 * [taylor]: Taking taylor expansion of 1/2 in im 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.385 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.388 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.388 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.388 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.388 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.388 * [taylor]: Taking taylor expansion of -1 in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.388 * [taylor]: Taking taylor expansion of -1 in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.388 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.388 * [taylor]: Taking taylor expansion of -1 in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.388 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.388 * [taylor]: Taking taylor expansion of -1 in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.392 * [taylor]: Taking taylor expansion of -1 in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.392 * [taylor]: Taking taylor expansion of -1 in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.395 * [taylor]: Taking taylor expansion of re in re 1.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.396 * [taylor]: Taking taylor expansion of -1 in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.396 * [taylor]: Taking taylor expansion of -1 in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.397 * [taylor]: Taking taylor expansion of -1 in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.397 * [taylor]: Taking taylor expansion of -1 in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.400 * [taylor]: Taking taylor expansion of 2 in im 1.400 * [taylor]: Taking taylor expansion of 0 in im 1.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.404 * [taylor]: Taking taylor expansion of 1/2 in im 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.408 * [taylor]: Taking taylor expansion of 0 in im 1.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.411 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in (re im) around 0 1.411 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in im 1.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.411 * [taylor]: Taking taylor expansion of 2.0 in im 1.411 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.411 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.411 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.411 * [taylor]: Taking taylor expansion of (* re re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.412 * [taylor]: Taking taylor expansion of re in im 1.412 * [taylor]: Taking taylor expansion of (* im im) in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in re 1.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.413 * [taylor]: Taking taylor expansion of 2.0 in re 1.413 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.413 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.414 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.414 * [taylor]: Taking taylor expansion of (* re re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* im im) in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.415 * [taylor]: Taking taylor expansion of re in re 1.415 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in re 1.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.415 * [taylor]: Taking taylor expansion of 2.0 in re 1.416 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.416 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.416 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.416 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.416 * [taylor]: Taking taylor expansion of (* re re) in re 1.416 * [taylor]: Taking taylor expansion of re in re 1.416 * [taylor]: Taking taylor expansion of re in re 1.416 * [taylor]: Taking taylor expansion of (* im im) in re 1.416 * [taylor]: Taking taylor expansion of im in re 1.416 * [taylor]: Taking taylor expansion of im in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.418 * [taylor]: Taking taylor expansion of 2.0 in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.420 * [taylor]: Taking taylor expansion of (- (sqrt 2.0)) in im 1.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.420 * [taylor]: Taking taylor expansion of 2.0 in im 1.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) im)) in im 1.426 * [taylor]: Taking taylor expansion of 1/2 in im 1.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.426 * [taylor]: Taking taylor expansion of 2.0 in im 1.427 * [taylor]: Taking taylor expansion of im in im 1.433 * [taylor]: Taking taylor expansion of 0 in im 1.437 * [approximate]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in (re im) around 0 1.437 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 1.437 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.437 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.437 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.437 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.438 * [taylor]: Taking taylor expansion of re in im 1.438 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.438 * [taylor]: Taking taylor expansion of re in im 1.438 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.438 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.438 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.441 * [taylor]: Taking taylor expansion of re in im 1.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.441 * [taylor]: Taking taylor expansion of 2.0 in im 1.442 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 1.442 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.442 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.442 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.442 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.442 * [taylor]: Taking taylor expansion of im in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.442 * [taylor]: Taking taylor expansion of im in re 1.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.445 * [taylor]: Taking taylor expansion of re in re 1.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.445 * [taylor]: Taking taylor expansion of 2.0 in re 1.446 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 1.446 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.446 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.446 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.446 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.446 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.446 * [taylor]: Taking taylor expansion of re in re 1.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.447 * [taylor]: Taking taylor expansion of re in re 1.447 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.447 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.447 * [taylor]: Taking taylor expansion of im in re 1.447 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.447 * [taylor]: Taking taylor expansion of im in re 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.455 * [taylor]: Taking taylor expansion of 2.0 in re 1.456 * [taylor]: Taking taylor expansion of 0 in im 1.457 * [taylor]: Taking taylor expansion of 0 in im 1.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 1.462 * [taylor]: Taking taylor expansion of 1/2 in im 1.462 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.462 * [taylor]: Taking taylor expansion of 2.0 in im 1.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.470 * [taylor]: Taking taylor expansion of 0 in im 1.473 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 1.473 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.473 * [taylor]: Taking taylor expansion of 2.0 in im 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.474 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.474 * [taylor]: Taking taylor expansion of re in im 1.474 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.474 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.474 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.474 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.474 * [taylor]: Taking taylor expansion of -1 in im 1.474 * [taylor]: Taking taylor expansion of re in im 1.474 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.474 * [taylor]: Taking taylor expansion of -1 in im 1.474 * [taylor]: Taking taylor expansion of re in im 1.474 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.474 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.474 * [taylor]: Taking taylor expansion of -1 in im 1.474 * [taylor]: Taking taylor expansion of im in im 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.475 * [taylor]: Taking taylor expansion of -1 in im 1.475 * [taylor]: Taking taylor expansion of im in im 1.478 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.478 * [taylor]: Taking taylor expansion of 2.0 in re 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.479 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.479 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.479 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.479 * [taylor]: Taking taylor expansion of -1 in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.479 * [taylor]: Taking taylor expansion of -1 in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.480 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.480 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.480 * [taylor]: Taking taylor expansion of -1 in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.480 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.480 * [taylor]: Taking taylor expansion of -1 in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.482 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.482 * [taylor]: Taking taylor expansion of 2.0 in re 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.483 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.484 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of (* 2 (sqrt 2.0)) in im 1.488 * [taylor]: Taking taylor expansion of 2 in im 1.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.488 * [taylor]: Taking taylor expansion of 2.0 in im 1.490 * [taylor]: Taking taylor expansion of 0 in im 1.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 1.496 * [taylor]: Taking taylor expansion of 1/2 in im 1.496 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.496 * [taylor]: Taking taylor expansion of 2.0 in im 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.504 * [taylor]: Taking taylor expansion of 0 in im 1.508 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.509 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.509 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.509 * [taylor]: Taking taylor expansion of 2.0 in im 1.510 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.510 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.510 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.510 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.510 * [taylor]: Taking taylor expansion of (* re re) in im 1.510 * [taylor]: Taking taylor expansion of re in im 1.510 * [taylor]: Taking taylor expansion of re in im 1.510 * [taylor]: Taking taylor expansion of (* im im) in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.511 * [taylor]: Taking taylor expansion of re in im 1.515 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.515 * [taylor]: Taking taylor expansion of 2.0 in re 1.516 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.516 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.516 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.516 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.516 * [taylor]: Taking taylor expansion of (* re re) in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.516 * [taylor]: Taking taylor expansion of (* im im) in re 1.516 * [taylor]: Taking taylor expansion of im in re 1.516 * [taylor]: Taking taylor expansion of im in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.518 * [taylor]: Taking taylor expansion of 2.0 in re 1.519 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.519 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.519 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.519 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.519 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.519 * [taylor]: Taking taylor expansion of (* re re) in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [taylor]: Taking taylor expansion of (* im im) in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.522 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.522 * [taylor]: Taking taylor expansion of 2.0 in im 1.522 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.522 * [taylor]: Taking taylor expansion of im in im 1.526 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.526 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.526 * [taylor]: Taking taylor expansion of 1/2 in im 1.526 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.526 * [taylor]: Taking taylor expansion of 2.0 in im 1.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.527 * [taylor]: Taking taylor expansion of im in im 1.553 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.553 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.553 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.553 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.553 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.554 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.554 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.554 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.554 * [taylor]: Taking taylor expansion of im in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.554 * [taylor]: Taking taylor expansion of im in im 1.557 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.557 * [taylor]: Taking taylor expansion of re in im 1.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.558 * [taylor]: Taking taylor expansion of 2.0 in im 1.559 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.559 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.559 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.559 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.559 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.560 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.562 * [taylor]: Taking taylor expansion of re in re 1.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.568 * [taylor]: Taking taylor expansion of 2.0 in re 1.569 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.569 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.569 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.569 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.569 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.569 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.569 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.569 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.569 * [taylor]: Taking taylor expansion of im in re 1.570 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.572 * [taylor]: Taking taylor expansion of re in re 1.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.578 * [taylor]: Taking taylor expansion of 2.0 in re 1.579 * [taylor]: Taking taylor expansion of 0 in im 1.580 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.580 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.580 * [taylor]: Taking taylor expansion of +nan.0 in im 1.580 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.580 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.580 * [taylor]: Taking taylor expansion of 2.0 in im 1.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.580 * [taylor]: Taking taylor expansion of im in im 1.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.588 * [taylor]: Taking taylor expansion of +nan.0 in im 1.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.588 * [taylor]: Taking taylor expansion of 2.0 in im 1.589 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.589 * [taylor]: Taking taylor expansion of im in im 1.605 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.605 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.605 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.605 * [taylor]: Taking taylor expansion of +nan.0 in im 1.605 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.605 * [taylor]: Taking taylor expansion of 2.0 in im 1.606 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.606 * [taylor]: Taking taylor expansion of im in im 1.607 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.607 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.607 * [taylor]: Taking taylor expansion of +nan.0 in im 1.607 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.607 * [taylor]: Taking taylor expansion of 2.0 in im 1.608 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.608 * [taylor]: Taking taylor expansion of im in im 1.637 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.637 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.637 * [taylor]: Taking taylor expansion of 2.0 in im 1.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.638 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.638 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.638 * [taylor]: Taking taylor expansion of re in im 1.638 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.638 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.638 * [taylor]: Taking taylor expansion of -1 in im 1.638 * [taylor]: Taking taylor expansion of re in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.638 * [taylor]: Taking taylor expansion of -1 in im 1.638 * [taylor]: Taking taylor expansion of re in im 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.639 * [taylor]: Taking taylor expansion of -1 in im 1.639 * [taylor]: Taking taylor expansion of im in im 1.639 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.639 * [taylor]: Taking taylor expansion of -1 in im 1.639 * [taylor]: Taking taylor expansion of im in im 1.643 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.643 * [taylor]: Taking taylor expansion of 2.0 in re 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.644 * [taylor]: Taking taylor expansion of re in re 1.644 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.644 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.644 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.644 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.644 * [taylor]: Taking taylor expansion of -1 in re 1.644 * [taylor]: Taking taylor expansion of re in re 1.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.645 * [taylor]: Taking taylor expansion of -1 in re 1.645 * [taylor]: Taking taylor expansion of re in re 1.645 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.645 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.645 * [taylor]: Taking taylor expansion of -1 in re 1.645 * [taylor]: Taking taylor expansion of im in re 1.645 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.645 * [taylor]: Taking taylor expansion of -1 in re 1.645 * [taylor]: Taking taylor expansion of im in re 1.649 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.649 * [taylor]: Taking taylor expansion of 2.0 in re 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.650 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.650 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.650 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.650 * [taylor]: Taking taylor expansion of -1 in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.651 * [taylor]: Taking taylor expansion of -1 in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.651 * [taylor]: Taking taylor expansion of -1 in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.651 * [taylor]: Taking taylor expansion of -1 in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.655 * [taylor]: Taking taylor expansion of 0 in im 1.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.656 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.657 * [taylor]: Taking taylor expansion of +nan.0 in im 1.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.657 * [taylor]: Taking taylor expansion of 2.0 in im 1.662 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.662 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.662 * [taylor]: Taking taylor expansion of +nan.0 in im 1.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.662 * [taylor]: Taking taylor expansion of 2.0 in im 1.671 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.671 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.671 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.671 * [taylor]: Taking taylor expansion of +nan.0 in im 1.671 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.671 * [taylor]: Taking taylor expansion of 2.0 in im 1.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.672 * [taylor]: Taking taylor expansion of im in im 1.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.673 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.673 * [taylor]: Taking taylor expansion of +nan.0 in im 1.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.673 * [taylor]: Taking taylor expansion of 2.0 in im 1.684 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.685 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.685 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.685 * [taylor]: Taking taylor expansion of +nan.0 in im 1.685 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.685 * [taylor]: Taking taylor expansion of 2.0 in im 1.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.685 * [taylor]: Taking taylor expansion of im in im 1.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.686 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.686 * [taylor]: Taking taylor expansion of +nan.0 in im 1.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.686 * [taylor]: Taking taylor expansion of 2.0 in im 1.699 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.700 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in (re im) around 0 1.700 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in im 1.700 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in im 1.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.700 * [taylor]: Taking taylor expansion of 2.0 in im 1.701 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.701 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.701 * [taylor]: Taking taylor expansion of (* re re) in im 1.701 * [taylor]: Taking taylor expansion of re in im 1.701 * [taylor]: Taking taylor expansion of re in im 1.701 * [taylor]: Taking taylor expansion of (* im im) in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.702 * [taylor]: Taking taylor expansion of re in im 1.715 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in re 1.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in re 1.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.715 * [taylor]: Taking taylor expansion of 2.0 in re 1.715 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.716 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.716 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.716 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.716 * [taylor]: Taking taylor expansion of (* re re) in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.716 * [taylor]: Taking taylor expansion of (* im im) in re 1.716 * [taylor]: Taking taylor expansion of im in re 1.716 * [taylor]: Taking taylor expansion of im in re 1.717 * [taylor]: Taking taylor expansion of re in re 1.720 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in re 1.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in re 1.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.720 * [taylor]: Taking taylor expansion of 2.0 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 1.721 * [taylor]: Taking taylor expansion of (* im im) in re 1.721 * [taylor]: Taking taylor expansion of im in re 1.721 * [taylor]: Taking taylor expansion of im in re 1.722 * [taylor]: Taking taylor expansion of re in re 1.724 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 1.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.724 * [taylor]: Taking taylor expansion of 2.0 in im 1.725 * [taylor]: Taking taylor expansion of im in im 1.729 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ (sqrt 2.0) im))) in im 1.729 * [taylor]: Taking taylor expansion of -1/2 in im 1.729 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 1.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.729 * [taylor]: Taking taylor expansion of 2.0 in im 1.729 * [taylor]: Taking taylor expansion of im in im 1.749 * [approximate]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0 1.749 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im 1.749 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 1.749 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.749 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.749 * [taylor]: Taking taylor expansion of re in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.749 * [taylor]: Taking taylor expansion of re in im 1.749 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.749 * [taylor]: Taking taylor expansion of im in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.749 * [taylor]: Taking taylor expansion of im in im 1.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.752 * [taylor]: Taking taylor expansion of re in im 1.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.752 * [taylor]: Taking taylor expansion of 2.0 in im 1.755 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 1.755 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 1.755 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.755 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.755 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.755 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.759 * [taylor]: Taking taylor expansion of 2.0 in re 1.767 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 1.767 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 1.767 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.767 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.767 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.767 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.767 * [taylor]: Taking taylor expansion of re in re 1.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.768 * [taylor]: Taking taylor expansion of re in re 1.768 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.768 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.768 * [taylor]: Taking taylor expansion of im in re 1.768 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.768 * [taylor]: Taking taylor expansion of im in re 1.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.771 * [taylor]: Taking taylor expansion of re in re 1.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.771 * [taylor]: Taking taylor expansion of 2.0 in re 1.779 * [taylor]: Taking taylor expansion of 0 in im 1.780 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.780 * [taylor]: Taking taylor expansion of +nan.0 in im 1.780 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.780 * [taylor]: Taking taylor expansion of 2.0 in im 1.780 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.780 * [taylor]: Taking taylor expansion of im in im 1.788 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 1.788 * [taylor]: Taking taylor expansion of +nan.0 in im 1.789 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 1.789 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.789 * [taylor]: Taking taylor expansion of 2.0 in im 1.789 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.789 * [taylor]: Taking taylor expansion of im in im 1.816 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 1.816 * [taylor]: Taking taylor expansion of +nan.0 in im 1.816 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 1.816 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 1.816 * [taylor]: Taking taylor expansion of 1/8 in im 1.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.816 * [taylor]: Taking taylor expansion of 2.0 in im 1.817 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.817 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 1.818 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 1.818 * [taylor]: Taking taylor expansion of +nan.0 in im 1.818 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 1.818 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 1.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.818 * [taylor]: Taking taylor expansion of 2.0 in im 1.819 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.819 * [taylor]: Taking taylor expansion of im in im 1.865 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.865 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.865 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.865 * [taylor]: Taking taylor expansion of 2.0 in im 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.866 * [taylor]: Taking taylor expansion of re in im 1.866 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.866 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.866 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.866 * [taylor]: Taking taylor expansion of -1 in im 1.866 * [taylor]: Taking taylor expansion of re in im 1.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.866 * [taylor]: Taking taylor expansion of -1 in im 1.866 * [taylor]: Taking taylor expansion of re in im 1.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.866 * [taylor]: Taking taylor expansion of -1 in im 1.866 * [taylor]: Taking taylor expansion of im in im 1.867 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.867 * [taylor]: Taking taylor expansion of -1 in im 1.867 * [taylor]: Taking taylor expansion of im in im 1.872 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.872 * [taylor]: Taking taylor expansion of 2.0 in re 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.874 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.874 * [taylor]: Taking taylor expansion of -1 in re 1.874 * [taylor]: Taking taylor expansion of im in re 1.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.874 * [taylor]: Taking taylor expansion of -1 in re 1.874 * [taylor]: Taking taylor expansion of im in re 1.884 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.885 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.885 * [taylor]: Taking taylor expansion of 2.0 in re 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.885 * [taylor]: Taking taylor expansion of re in re 1.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.886 * [taylor]: Taking taylor expansion of -1 in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.886 * [taylor]: Taking taylor expansion of -1 in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.887 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.892 * [taylor]: Taking taylor expansion of 0 in im 1.892 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.892 * [taylor]: Taking taylor expansion of +nan.0 in im 1.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.892 * [taylor]: Taking taylor expansion of 2.0 in im 1.897 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 1.897 * [taylor]: Taking taylor expansion of +nan.0 in im 1.897 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.897 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.897 * [taylor]: Taking taylor expansion of 2.0 in im 1.908 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 1.908 * [taylor]: Taking taylor expansion of +nan.0 in im 1.908 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 1.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 1.908 * [taylor]: Taking taylor expansion of 1/2 in im 1.908 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.908 * [taylor]: Taking taylor expansion of 2.0 in im 1.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.909 * [taylor]: Taking taylor expansion of im in im 1.910 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 1.910 * [taylor]: Taking taylor expansion of +nan.0 in im 1.910 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 1.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.910 * [taylor]: Taking taylor expansion of 2.0 in im 1.926 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 1.926 * [taylor]: Taking taylor expansion of +nan.0 in im 1.926 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 1.926 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 1.926 * [taylor]: Taking taylor expansion of +nan.0 in im 1.926 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 1.926 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.926 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.926 * [taylor]: Taking taylor expansion of 2.0 in im 1.927 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.927 * [taylor]: Taking taylor expansion of im in im 1.929 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 1.929 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 1.929 * [taylor]: Taking taylor expansion of +nan.0 in im 1.929 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 1.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.929 * [taylor]: Taking taylor expansion of 2.0 in im 1.954 * * * [progress]: simplifying candidates 1.958 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (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 (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (* (sqrt 2.0) (* 1 (- (hypot re im) re))) (* (sqrt 2.0) (* 1 (- (hypot re im) re))) (+ (log (sqrt 2.0)) (+ 0 (log (- (hypot re im) re)))) (+ (log (sqrt 2.0)) (+ (log 1) (log (- (hypot re im) re)))) (+ (log (sqrt 2.0)) (log (* 1 (- (hypot re im) re)))) (log (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (exp (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (* 1 1) 1) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (* 1 (- (hypot re im) re)) (* 1 (- (hypot re im) re))) (* 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 (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* 1 (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* 1 (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt 1) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt 1) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* 1 (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* 1 (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt 1) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt 1) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* 1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))))) (* (sqrt 2.0) (* 1 (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))) (* (sqrt 2.0) (* 1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))))) (* (sqrt 2.0) (* 1 (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))) (* (sqrt 2.0) (* 1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))))) (* (sqrt 2.0) (* 1 (fma (- re) 1 (* re 1)))) (* (sqrt 2.0) (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))))) (* (sqrt 2.0) (* 1 (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))) (* (sqrt 2.0) (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))))) (* (sqrt 2.0) (* 1 (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))) (* (sqrt 2.0) (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))))) (* (sqrt 2.0) (* 1 (fma (- re) 1 (* re 1)))) (* (sqrt 2.0) (* 1 (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))))) (* (sqrt 2.0) (* 1 (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))))) (* (sqrt 2.0) (* 1 (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))))) (* (sqrt 2.0) (* 1 (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))))) (* (sqrt 2.0) (* 1 (fma 1 (hypot re im) (- (* re 1))))) (* (sqrt 2.0) (* 1 (fma (- re) 1 (* re 1)))) (* (sqrt 2.0) (* 1 (hypot re im))) (* (sqrt 2.0) (* 1 (- re))) (* (sqrt 2.0) (* 1 (hypot re im))) (* (sqrt 2.0) (* 1 (- re))) (* (sqrt 2.0) (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) 1)) (* (sqrt 2.0) (* (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) 1)) (* (sqrt 2.0) (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) 1)) (* (sqrt 2.0) (* (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) 1)) (* (sqrt 2.0) (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) 1)) (* (sqrt 2.0) (* (fma (- re) 1 (* re 1)) 1)) (* (sqrt 2.0) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) 1)) (* (sqrt 2.0) (* (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) 1)) (* (sqrt 2.0) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) 1)) (* (sqrt 2.0) (* (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) 1)) (* (sqrt 2.0) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) 1)) (* (sqrt 2.0) (* (fma (- re) 1 (* re 1)) 1)) (* (sqrt 2.0) (* (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) 1)) (* (sqrt 2.0) (* (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) 1)) (* (sqrt 2.0) (* (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) 1)) (* (sqrt 2.0) (* (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) 1)) (* (sqrt 2.0) (* (fma 1 (hypot re im) (- (* re 1))) 1)) (* (sqrt 2.0) (* (fma (- re) 1 (* re 1)) 1)) (* (sqrt 2.0) (* (hypot re im) 1)) (* (sqrt 2.0) (* (- re) 1)) (* (sqrt 2.0) (* (hypot re im) 1)) (* (sqrt 2.0) (* (- re) 1)) (* (* 1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))) (sqrt 2.0)) (* (* 1 (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))) (sqrt 2.0)) (* (* 1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re))))) (sqrt 2.0)) (* (* 1 (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))) (sqrt 2.0)) (* (* 1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1)))) (sqrt 2.0)) (* (* 1 (fma (- re) 1 (* re 1))) (sqrt 2.0)) (* (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))) (sqrt 2.0)) (* (* 1 (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))) (sqrt 2.0)) (* (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re))))) (sqrt 2.0)) (* (* 1 (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re)))) (sqrt 2.0)) (* (* 1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1)))) (sqrt 2.0)) (* (* 1 (fma (- re) 1 (* re 1))) (sqrt 2.0)) (* (* 1 (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re)))))) (sqrt 2.0)) (* (* 1 (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re))))) (sqrt 2.0)) (* (* 1 (fma 1 (hypot 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(* (hypot re im) re)))) (sqrt (* (sqrt 2.0) (* 1 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re))))) (- im re) 0 (* -2 re) (- (* (sqrt 2.0) im) (* (sqrt 2.0) re)) 0 (* -2 (* (sqrt 2.0) 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))))))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (* im re))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (pow (sqrt 2.0) 2) (pow im 2)))))))) 0 (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 1.979 * * [simplify]: iteration 0 : 770 enodes (cost 2799 ) 1.992 * * [simplify]: iteration 1 : 2875 enodes (cost 2341 ) 2.038 * * [simplify]: iteration 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im) re))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (fabs (* (sqrt (sqrt 2.0)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (fabs (* (sqrt (sqrt 2.0)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (* 1 (+ (sqrt (hypot re im)) (sqrt re))))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (- (hypot re im) re))) 1 (fabs (cbrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (* 1 (- (hypot re im) re)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (* (sqrt (cbrt 2.0)) (* 1 (- (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (- (hypot re im) re)))) 1 (sqrt (* (sqrt 2.0) (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (* 1 (- (hypot re im) re)))) 1 (sqrt (* (sqrt 2.0) (- (hypot re im) re))) (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (* 1 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* (sqrt 2.0) (* 1 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) 1/2 1/2 1/2 (sqrt (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* (sqrt 2.0) (* 1 (- (hypot re im) re))))) (- im re) 0 (* -2 re) (* (sqrt 2.0) (- im re)) 0 (* -2 (* (sqrt 2.0) re)) (fma (- (* +nan.0 (sqrt 2.0))) (pow im 2) (* (* +nan.0 (sqrt 2.0)) (- im (* im re)))) 0 (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (- (* +nan.0 2.0)) (* im re) (* +nan.0 (- (* (sqrt 2.0) im) (* (pow im 2) 2.0)))) 0 (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (- (/ (* +nan.0 2.0) re) (* +nan.0 (sqrt 2.0)))) 2.051 * * * [progress]: adding candidates to table 2.563 * * [progress]: iteration 4 / 4 2.563 * * * [progress]: picking best candidate 2.576 * * * * [pick]: Picked # 2.576 * * * [progress]: localizing error 2.588 * * * [progress]: generating rewritten candidates 2.588 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.615 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 2.621 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 2.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.663 * * * [progress]: generating series expansions 2.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.664 * [approximate]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in (re im) around 0 2.664 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in im 2.664 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in im 2.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.664 * [taylor]: Taking taylor expansion of 2.0 in im 2.665 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.665 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.665 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.665 * [taylor]: Taking taylor expansion of (* re re) in im 2.665 * [taylor]: Taking taylor expansion of re in im 2.665 * [taylor]: Taking taylor expansion of re in im 2.665 * [taylor]: Taking taylor expansion of (* im im) in im 2.665 * [taylor]: Taking taylor expansion of im in im 2.665 * [taylor]: Taking taylor expansion of im in im 2.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in im 2.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.666 * [taylor]: Taking taylor expansion of 2.0 in im 2.667 * [taylor]: Taking taylor expansion of re in im 2.667 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in re 2.667 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in re 2.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.667 * [taylor]: Taking taylor expansion of 2.0 in re 2.668 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.668 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.668 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.668 * [taylor]: Taking taylor expansion of (* re re) in re 2.668 * [taylor]: Taking taylor expansion of re in re 2.668 * [taylor]: Taking taylor expansion of re in re 2.668 * [taylor]: Taking taylor expansion of (* im im) in re 2.668 * [taylor]: Taking taylor expansion of im in re 2.668 * [taylor]: Taking taylor expansion of im in re 2.669 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in re 2.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.669 * [taylor]: Taking taylor expansion of 2.0 in re 2.670 * [taylor]: Taking taylor expansion of re in re 2.670 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in re 2.670 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in re 2.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.670 * [taylor]: Taking taylor expansion of 2.0 in re 2.671 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.671 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.671 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.671 * [taylor]: Taking taylor expansion of (* re re) in re 2.671 * [taylor]: Taking taylor expansion of re in re 2.671 * [taylor]: Taking taylor expansion of re in re 2.671 * [taylor]: Taking taylor expansion of (* im im) in re 2.671 * [taylor]: Taking taylor expansion of im in re 2.671 * [taylor]: Taking taylor expansion of im in re 2.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in re 2.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.672 * [taylor]: Taking taylor expansion of 2.0 in re 2.673 * [taylor]: Taking taylor expansion of re in re 2.674 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.674 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.674 * [taylor]: Taking taylor expansion of 2.0 in im 2.675 * [taylor]: Taking taylor expansion of im in im 2.678 * [taylor]: Taking taylor expansion of (- (sqrt 2.0)) in im 2.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.678 * [taylor]: Taking taylor expansion of 2.0 in im 2.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) im)) in im 2.689 * [taylor]: Taking taylor expansion of 1/2 in im 2.689 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.689 * [taylor]: Taking taylor expansion of 2.0 in im 2.690 * [taylor]: Taking taylor expansion of im in im 2.697 * [taylor]: Taking taylor expansion of 0 in im 2.701 * [approximate]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in (re im) around 0 2.701 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in im 2.701 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in im 2.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.701 * [taylor]: Taking taylor expansion of 2.0 in im 2.702 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.702 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.702 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.702 * [taylor]: Taking taylor expansion of re in im 2.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.702 * [taylor]: Taking taylor expansion of re in im 2.702 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.703 * [taylor]: Taking taylor expansion of im in im 2.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.703 * [taylor]: Taking taylor expansion of im in im 2.706 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 2.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.706 * [taylor]: Taking taylor expansion of 2.0 in im 2.706 * [taylor]: Taking taylor expansion of re in im 2.707 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in re 2.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in re 2.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.707 * [taylor]: Taking taylor expansion of 2.0 in re 2.707 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.708 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.708 * [taylor]: Taking taylor expansion of re in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.708 * [taylor]: Taking taylor expansion of re in re 2.708 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.711 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.711 * [taylor]: Taking taylor expansion of 2.0 in re 2.712 * [taylor]: Taking taylor expansion of re in re 2.713 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in re 2.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in re 2.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.713 * [taylor]: Taking taylor expansion of 2.0 in re 2.713 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.714 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.714 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.714 * [taylor]: Taking taylor expansion of im in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.714 * [taylor]: Taking taylor expansion of im in re 2.717 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.717 * [taylor]: Taking taylor expansion of 2.0 in re 2.718 * [taylor]: Taking taylor expansion of re in re 2.720 * [taylor]: Taking taylor expansion of 0 in im 2.722 * [taylor]: Taking taylor expansion of 0 in im 2.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.728 * [taylor]: Taking taylor expansion of 1/2 in im 2.728 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.728 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.728 * [taylor]: Taking taylor expansion of 2.0 in im 2.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.728 * [taylor]: Taking taylor expansion of im in im 2.736 * [taylor]: Taking taylor expansion of 0 in im 2.739 * [approximate]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in (re im) around 0 2.739 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in im 2.739 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in im 2.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.739 * [taylor]: Taking taylor expansion of 2.0 in im 2.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.740 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.740 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.740 * [taylor]: Taking taylor expansion of -1 in im 2.740 * [taylor]: Taking taylor expansion of re in im 2.740 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.740 * [taylor]: Taking taylor expansion of -1 in im 2.740 * [taylor]: Taking taylor expansion of re in im 2.740 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.740 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.740 * [taylor]: Taking taylor expansion of -1 in im 2.740 * [taylor]: Taking taylor expansion of im in im 2.741 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.741 * [taylor]: Taking taylor expansion of -1 in im 2.741 * [taylor]: Taking taylor expansion of im in im 2.743 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 2.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.743 * [taylor]: Taking taylor expansion of 2.0 in im 2.744 * [taylor]: Taking taylor expansion of re in im 2.744 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in re 2.744 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in re 2.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.744 * [taylor]: Taking taylor expansion of 2.0 in re 2.745 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.745 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.745 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.745 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.745 * [taylor]: Taking taylor expansion of -1 in re 2.745 * [taylor]: Taking taylor expansion of re in re 2.746 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.746 * [taylor]: Taking taylor expansion of -1 in re 2.746 * [taylor]: Taking taylor expansion of re in re 2.746 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.746 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.746 * [taylor]: Taking taylor expansion of -1 in re 2.746 * [taylor]: Taking taylor expansion of im in re 2.746 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.746 * [taylor]: Taking taylor expansion of -1 in re 2.746 * [taylor]: Taking taylor expansion of im in re 2.749 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.749 * [taylor]: Taking taylor expansion of 2.0 in re 2.749 * [taylor]: Taking taylor expansion of re in re 2.750 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in re 2.750 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in re 2.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.750 * [taylor]: Taking taylor expansion of 2.0 in re 2.751 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.751 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.751 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.751 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.751 * [taylor]: Taking taylor expansion of -1 in re 2.751 * [taylor]: Taking taylor expansion of re in re 2.751 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.751 * [taylor]: Taking taylor expansion of -1 in re 2.751 * [taylor]: Taking taylor expansion of re in re 2.752 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.752 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.752 * [taylor]: Taking taylor expansion of -1 in re 2.752 * [taylor]: Taking taylor expansion of im in re 2.752 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.752 * [taylor]: Taking taylor expansion of -1 in re 2.752 * [taylor]: Taking taylor expansion of im in re 2.754 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.754 * [taylor]: Taking taylor expansion of 2.0 in re 2.755 * [taylor]: Taking taylor expansion of re in re 2.757 * [taylor]: Taking taylor expansion of (* 2 (sqrt 2.0)) in im 2.757 * [taylor]: Taking taylor expansion of 2 in im 2.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.757 * [taylor]: Taking taylor expansion of 2.0 in im 2.759 * [taylor]: Taking taylor expansion of 0 in im 2.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.771 * [taylor]: Taking taylor expansion of 1/2 in im 2.771 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.771 * [taylor]: Taking taylor expansion of 2.0 in im 2.771 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.771 * [taylor]: Taking taylor expansion of im in im 2.780 * [taylor]: Taking taylor expansion of 0 in im 2.784 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 2.784 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt 2.0) re)) in (re) around 0 2.784 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt 2.0) re)) in re 2.784 * [taylor]: Taking taylor expansion of -1 in re 2.784 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in re 2.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.784 * [taylor]: Taking taylor expansion of 2.0 in re 2.785 * [taylor]: Taking taylor expansion of re in re 2.785 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt 2.0) re)) in re 2.785 * [taylor]: Taking taylor expansion of -1 in re 2.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in re 2.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.785 * [taylor]: Taking taylor expansion of 2.0 in re 2.786 * [taylor]: Taking taylor expansion of re in re 2.804 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) re)) in (re) around 0 2.804 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) re)) in re 2.804 * [taylor]: Taking taylor expansion of -1 in re 2.804 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.804 * [taylor]: Taking taylor expansion of 2.0 in re 2.805 * [taylor]: Taking taylor expansion of re in re 2.806 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) re)) in re 2.806 * [taylor]: Taking taylor expansion of -1 in re 2.806 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.806 * [taylor]: Taking taylor expansion of 2.0 in re 2.806 * [taylor]: Taking taylor expansion of re in re 2.820 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) re) in (re) around 0 2.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.820 * [taylor]: Taking taylor expansion of 2.0 in re 2.821 * [taylor]: Taking taylor expansion of re in re 2.822 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.822 * [taylor]: Taking taylor expansion of 2.0 in re 2.822 * [taylor]: Taking taylor expansion of re in re 2.831 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 2.831 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in (re im) around 0 2.831 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in im 2.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.831 * [taylor]: Taking taylor expansion of 2.0 in im 2.832 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.832 * [taylor]: Taking taylor expansion of (* re re) in im 2.832 * [taylor]: Taking taylor expansion of re in im 2.832 * [taylor]: Taking taylor expansion of re in im 2.832 * [taylor]: Taking taylor expansion of (* im im) in im 2.832 * [taylor]: Taking taylor expansion of im in im 2.832 * [taylor]: Taking taylor expansion of im in im 2.833 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in re 2.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.833 * [taylor]: Taking taylor expansion of 2.0 in re 2.834 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.834 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.834 * [taylor]: Taking taylor expansion of (* re re) in re 2.834 * [taylor]: Taking taylor expansion of re in re 2.834 * [taylor]: Taking taylor expansion of re in re 2.834 * [taylor]: Taking taylor expansion of (* im im) in re 2.834 * [taylor]: Taking taylor expansion of im in re 2.834 * [taylor]: Taking taylor expansion of im in re 2.835 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in re 2.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.835 * [taylor]: Taking taylor expansion of 2.0 in re 2.836 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.836 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.836 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.836 * [taylor]: Taking taylor expansion of (* re re) in re 2.836 * [taylor]: Taking taylor expansion of re in re 2.836 * [taylor]: Taking taylor expansion of re in re 2.836 * [taylor]: Taking taylor expansion of (* im im) in re 2.836 * [taylor]: Taking taylor expansion of im in re 2.836 * [taylor]: Taking taylor expansion of im in re 2.838 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.838 * [taylor]: Taking taylor expansion of 2.0 in im 2.838 * [taylor]: Taking taylor expansion of im in im 2.839 * [taylor]: Taking taylor expansion of 0 in im 2.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) im)) in im 2.843 * [taylor]: Taking taylor expansion of 1/2 in im 2.843 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.843 * [taylor]: Taking taylor expansion of 2.0 in im 2.844 * [taylor]: Taking taylor expansion of im in im 2.855 * [taylor]: Taking taylor expansion of 0 in im 2.857 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.857 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in im 2.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.858 * [taylor]: Taking taylor expansion of 2.0 in im 2.858 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.858 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.858 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.858 * [taylor]: Taking taylor expansion of re in im 2.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.858 * [taylor]: Taking taylor expansion of re in im 2.859 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.859 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.859 * [taylor]: Taking taylor expansion of im in im 2.859 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.859 * [taylor]: Taking taylor expansion of im in im 2.862 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in re 2.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.862 * [taylor]: Taking taylor expansion of 2.0 in re 2.862 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.863 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.863 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.863 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.863 * [taylor]: Taking taylor expansion of re in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.863 * [taylor]: Taking taylor expansion of re in re 2.863 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.863 * [taylor]: Taking taylor expansion of im in re 2.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.863 * [taylor]: Taking taylor expansion of im in re 2.866 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in re 2.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.866 * [taylor]: Taking taylor expansion of 2.0 in re 2.867 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.867 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.867 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.867 * [taylor]: Taking taylor expansion of re in re 2.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.867 * [taylor]: Taking taylor expansion of re in re 2.867 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.867 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.867 * [taylor]: Taking taylor expansion of im in re 2.867 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.867 * [taylor]: Taking taylor expansion of im in re 2.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.871 * [taylor]: Taking taylor expansion of 2.0 in im 2.872 * [taylor]: Taking taylor expansion of 0 in im 2.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.876 * [taylor]: Taking taylor expansion of 1/2 in im 2.876 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.876 * [taylor]: Taking taylor expansion of 2.0 in im 2.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.877 * [taylor]: Taking taylor expansion of im in im 2.884 * [taylor]: Taking taylor expansion of 0 in im 2.890 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.890 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in im 2.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.890 * [taylor]: Taking taylor expansion of 2.0 in im 2.892 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.892 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.892 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.892 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.892 * [taylor]: Taking taylor expansion of -1 in im 2.892 * [taylor]: Taking taylor expansion of re in im 2.892 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.892 * [taylor]: Taking taylor expansion of -1 in im 2.892 * [taylor]: Taking taylor expansion of re in im 2.892 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.892 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.892 * [taylor]: Taking taylor expansion of -1 in im 2.892 * [taylor]: Taking taylor expansion of im in im 2.893 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.893 * [taylor]: Taking taylor expansion of -1 in im 2.893 * [taylor]: Taking taylor expansion of im in im 2.897 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in re 2.897 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.897 * [taylor]: Taking taylor expansion of 2.0 in re 2.898 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.899 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.899 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.899 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.899 * [taylor]: Taking taylor expansion of -1 in re 2.899 * [taylor]: Taking taylor expansion of re in re 2.899 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.899 * [taylor]: Taking taylor expansion of -1 in re 2.899 * [taylor]: Taking taylor expansion of re in re 2.900 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.900 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.900 * [taylor]: Taking taylor expansion of -1 in re 2.900 * [taylor]: Taking taylor expansion of im in re 2.900 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.900 * [taylor]: Taking taylor expansion of -1 in re 2.900 * [taylor]: Taking taylor expansion of im in re 2.904 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in re 2.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.904 * [taylor]: Taking taylor expansion of 2.0 in re 2.905 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.905 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.905 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.905 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.905 * [taylor]: Taking taylor expansion of -1 in re 2.906 * [taylor]: Taking taylor expansion of re in re 2.906 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.906 * [taylor]: Taking taylor expansion of -1 in re 2.906 * [taylor]: Taking taylor expansion of re in re 2.906 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.906 * [taylor]: Taking taylor expansion of -1 in re 2.907 * [taylor]: Taking taylor expansion of im in re 2.907 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.907 * [taylor]: Taking taylor expansion of -1 in re 2.907 * [taylor]: Taking taylor expansion of im in re 2.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.911 * [taylor]: Taking taylor expansion of 2.0 in im 2.912 * [taylor]: Taking taylor expansion of 0 in im 2.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.916 * [taylor]: Taking taylor expansion of 1/2 in im 2.916 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.916 * [taylor]: Taking taylor expansion of 2.0 in im 2.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.917 * [taylor]: Taking taylor expansion of im in im 2.923 * [taylor]: Taking taylor expansion of 0 in im 2.926 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.928 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)))) in (re im) around 0 2.928 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)))) in im 2.928 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re))) in im 2.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.928 * [taylor]: Taking taylor expansion of 2.0 in im 2.929 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in im 2.929 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in im 2.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.929 * [taylor]: Taking taylor expansion of 2.0 in im 2.929 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.929 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.929 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.929 * [taylor]: Taking taylor expansion of (* re re) in im 2.930 * [taylor]: Taking taylor expansion of re in im 2.930 * [taylor]: Taking taylor expansion of re in im 2.930 * [taylor]: Taking taylor expansion of (* im im) in im 2.930 * [taylor]: Taking taylor expansion of im in im 2.930 * [taylor]: Taking taylor expansion of im in im 2.931 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in im 2.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.931 * [taylor]: Taking taylor expansion of 2.0 in im 2.931 * [taylor]: Taking taylor expansion of re in im 2.953 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)))) in re 2.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re))) in re 2.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.953 * [taylor]: Taking taylor expansion of 2.0 in re 2.953 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in re 2.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in re 2.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.953 * [taylor]: Taking taylor expansion of 2.0 in re 2.954 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.954 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.954 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.954 * [taylor]: Taking taylor expansion of (* re re) in re 2.954 * [taylor]: Taking taylor expansion of re in re 2.954 * [taylor]: Taking taylor expansion of re in re 2.954 * [taylor]: Taking taylor expansion of (* im im) in re 2.954 * [taylor]: Taking taylor expansion of im in re 2.954 * [taylor]: Taking taylor expansion of im in re 2.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in re 2.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.955 * [taylor]: Taking taylor expansion of 2.0 in re 2.956 * [taylor]: Taking taylor expansion of re in re 2.964 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)))) in re 2.964 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re))) in re 2.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.964 * [taylor]: Taking taylor expansion of 2.0 in re 2.965 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re)) in re 2.965 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot re im)) in re 2.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.965 * [taylor]: Taking taylor expansion of 2.0 in re 2.966 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.966 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.966 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.966 * [taylor]: Taking taylor expansion of (* re re) in re 2.966 * [taylor]: Taking taylor expansion of re in re 2.966 * [taylor]: Taking taylor expansion of re in re 2.966 * [taylor]: Taking taylor expansion of (* im im) in re 2.966 * [taylor]: Taking taylor expansion of im in re 2.966 * [taylor]: Taking taylor expansion of im in re 2.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) re) in re 2.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.967 * [taylor]: Taking taylor expansion of 2.0 in re 2.968 * [taylor]: Taking taylor expansion of re in re 2.976 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.976 * [taylor]: Taking taylor expansion of 2.0 in im 2.977 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.977 * [taylor]: Taking taylor expansion of im in im 2.980 * [taylor]: Taking taylor expansion of (* -1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.980 * [taylor]: Taking taylor expansion of -1/2 in im 2.980 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.980 * [taylor]: Taking taylor expansion of 2.0 in im 2.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.981 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.981 * [taylor]: Taking taylor expansion of im in im 3.001 * [approximate]: Taking taylor expansion of (sqrt (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0))) in (re im) around 0 3.001 * [taylor]: Taking taylor expansion of (sqrt (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0))) in im 3.001 * [taylor]: Taking taylor expansion of (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0)) in im 3.001 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in im 3.001 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in im 3.001 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.001 * [taylor]: Taking taylor expansion of 2.0 in im 3.002 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.002 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.002 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.002 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.002 * [taylor]: Taking taylor expansion of re in im 3.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.002 * [taylor]: Taking taylor expansion of re in im 3.002 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.002 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.002 * [taylor]: Taking taylor expansion of im in im 3.002 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.002 * [taylor]: Taking taylor expansion of im in im 3.005 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 3.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.005 * [taylor]: Taking taylor expansion of 2.0 in im 3.006 * [taylor]: Taking taylor expansion of re in im 3.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.006 * [taylor]: Taking taylor expansion of 2.0 in im 3.010 * [taylor]: Taking taylor expansion of (sqrt (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0))) in re 3.010 * [taylor]: Taking taylor expansion of (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0)) in re 3.010 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in re 3.011 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in re 3.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.011 * [taylor]: Taking taylor expansion of 2.0 in re 3.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.011 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.011 * [taylor]: Taking taylor expansion of re in re 3.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.012 * [taylor]: Taking taylor expansion of re in re 3.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.012 * [taylor]: Taking taylor expansion of im in re 3.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.012 * [taylor]: Taking taylor expansion of im in re 3.015 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.015 * [taylor]: Taking taylor expansion of 2.0 in re 3.015 * [taylor]: Taking taylor expansion of re in re 3.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.016 * [taylor]: Taking taylor expansion of 2.0 in re 3.030 * [taylor]: Taking taylor expansion of (sqrt (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0))) in re 3.030 * [taylor]: Taking taylor expansion of (* (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) (sqrt 2.0)) in re 3.030 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) (/ (sqrt 2.0) re)) in re 3.030 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ 1 re) (/ 1 im))) in re 3.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.030 * [taylor]: Taking taylor expansion of 2.0 in re 3.030 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.031 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.031 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.031 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.031 * [taylor]: Taking taylor expansion of re in re 3.031 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.031 * [taylor]: Taking taylor expansion of re in re 3.031 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.031 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.031 * [taylor]: Taking taylor expansion of im in re 3.031 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.031 * [taylor]: Taking taylor expansion of im in re 3.034 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.034 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.034 * [taylor]: Taking taylor expansion of 2.0 in re 3.039 * [taylor]: Taking taylor expansion of re in re 3.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.040 * [taylor]: Taking taylor expansion of 2.0 in re 3.053 * [taylor]: Taking taylor expansion of 0 in im 3.053 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 3.054 * [taylor]: Taking taylor expansion of +nan.0 in im 3.054 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 3.054 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.054 * [taylor]: Taking taylor expansion of 2.0 in im 3.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.054 * [taylor]: Taking taylor expansion of im in im 3.067 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 4) (pow im 4))) in im 3.067 * [taylor]: Taking taylor expansion of +nan.0 in im 3.067 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 4) (pow im 4)) in im 3.067 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 3.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.067 * [taylor]: Taking taylor expansion of 2.0 in im 3.068 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.068 * [taylor]: Taking taylor expansion of im in im 3.097 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 6) (pow im 6)))))) in im 3.097 * [taylor]: Taking taylor expansion of +nan.0 in im 3.097 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2.0) 2) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 6) (pow im 6))))) in im 3.097 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 3.097 * [taylor]: Taking taylor expansion of 1/8 in im 3.097 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 3.097 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.097 * [taylor]: Taking taylor expansion of 2.0 in im 3.098 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.098 * [taylor]: Taking taylor expansion of im in im 3.100 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 6) (pow im 6)))) in im 3.100 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 6) (pow im 6))) in im 3.100 * [taylor]: Taking taylor expansion of +nan.0 in im 3.100 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 6) (pow im 6)) in im 3.100 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 6) in im 3.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.100 * [taylor]: Taking taylor expansion of 2.0 in im 3.101 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.101 * [taylor]: Taking taylor expansion of im in im 3.161 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)))) in (re im) around 0 3.161 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)))) in im 3.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re))) in im 3.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.161 * [taylor]: Taking taylor expansion of 2.0 in im 3.162 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in im 3.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in im 3.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.162 * [taylor]: Taking taylor expansion of 2.0 in im 3.163 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.163 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.163 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.163 * [taylor]: Taking taylor expansion of -1 in im 3.163 * [taylor]: Taking taylor expansion of re in im 3.163 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.163 * [taylor]: Taking taylor expansion of -1 in im 3.163 * [taylor]: Taking taylor expansion of re in im 3.163 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.163 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.163 * [taylor]: Taking taylor expansion of -1 in im 3.163 * [taylor]: Taking taylor expansion of im in im 3.163 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.164 * [taylor]: Taking taylor expansion of -1 in im 3.164 * [taylor]: Taking taylor expansion of im in im 3.166 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 3.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.166 * [taylor]: Taking taylor expansion of 2.0 in im 3.167 * [taylor]: Taking taylor expansion of re in im 3.171 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)))) in re 3.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re))) in re 3.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.171 * [taylor]: Taking taylor expansion of 2.0 in re 3.172 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in re 3.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in re 3.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.172 * [taylor]: Taking taylor expansion of 2.0 in re 3.172 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.173 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.173 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.173 * [taylor]: Taking taylor expansion of -1 in re 3.173 * [taylor]: Taking taylor expansion of re in re 3.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.173 * [taylor]: Taking taylor expansion of -1 in re 3.173 * [taylor]: Taking taylor expansion of re in re 3.173 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.173 * [taylor]: Taking taylor expansion of -1 in re 3.173 * [taylor]: Taking taylor expansion of im in re 3.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.173 * [taylor]: Taking taylor expansion of -1 in re 3.173 * [taylor]: Taking taylor expansion of im in re 3.176 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.176 * [taylor]: Taking taylor expansion of 2.0 in re 3.177 * [taylor]: Taking taylor expansion of re in re 3.182 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)))) in re 3.182 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re))) in re 3.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.182 * [taylor]: Taking taylor expansion of 2.0 in re 3.183 * [taylor]: Taking taylor expansion of (+ (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) (/ (sqrt 2.0) re)) in re 3.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (hypot (/ -1 re) (/ -1 im))) in re 3.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.183 * [taylor]: Taking taylor expansion of 2.0 in re 3.184 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.184 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.184 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.184 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.184 * [taylor]: Taking taylor expansion of -1 in re 3.184 * [taylor]: Taking taylor expansion of re in re 3.184 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.184 * [taylor]: Taking taylor expansion of -1 in re 3.184 * [taylor]: Taking taylor expansion of re in re 3.184 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.184 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.184 * [taylor]: Taking taylor expansion of -1 in re 3.184 * [taylor]: Taking taylor expansion of im in re 3.184 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.185 * [taylor]: Taking taylor expansion of -1 in re 3.185 * [taylor]: Taking taylor expansion of im in re 3.187 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.187 * [taylor]: Taking taylor expansion of 2.0 in re 3.188 * [taylor]: Taking taylor expansion of re in re 3.193 * [taylor]: Taking taylor expansion of 0 in im 3.193 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 3.193 * [taylor]: Taking taylor expansion of +nan.0 in im 3.193 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.193 * [taylor]: Taking taylor expansion of 2.0 in im 3.199 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 3.199 * [taylor]: Taking taylor expansion of +nan.0 in im 3.199 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 3.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.199 * [taylor]: Taking taylor expansion of 2.0 in im 3.222 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (pow (sqrt 2.0) 2) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 6)))) in im 3.222 * [taylor]: Taking taylor expansion of +nan.0 in im 3.222 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2.0) 2) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 6))) in im 3.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 3.222 * [taylor]: Taking taylor expansion of 1/2 in im 3.222 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 3.222 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 3.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.222 * [taylor]: Taking taylor expansion of 2.0 in im 3.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.223 * [taylor]: Taking taylor expansion of im in im 3.225 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 6)) in im 3.225 * [taylor]: Taking taylor expansion of +nan.0 in im 3.225 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 6) in im 3.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.225 * [taylor]: Taking taylor expansion of 2.0 in im 3.249 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow (sqrt 2.0) 8)) (- (* +nan.0 (/ (pow (sqrt 2.0) 4) (pow im 2)))))) in im 3.249 * [taylor]: Taking taylor expansion of +nan.0 in im 3.249 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 8)) (- (* +nan.0 (/ (pow (sqrt 2.0) 4) (pow im 2))))) in im 3.249 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 8)) in im 3.249 * [taylor]: Taking taylor expansion of +nan.0 in im 3.249 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 8) in im 3.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.249 * [taylor]: Taking taylor expansion of 2.0 in im 3.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 4) (pow im 2)))) in im 3.250 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 4) (pow im 2))) in im 3.250 * [taylor]: Taking taylor expansion of +nan.0 in im 3.250 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 4) (pow im 2)) in im 3.250 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 3.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.250 * [taylor]: Taking taylor expansion of 2.0 in im 3.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.251 * [taylor]: Taking taylor expansion of im in im 3.284 * * * [progress]: simplifying candidates 3.286 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (log1p (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (* (exp (* (sqrt 2.0) (hypot re im))) (exp (* (sqrt 2.0) (- re)))) (log (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (exp (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (* (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (* (* (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (+ (pow (* (sqrt 2.0) (hypot re im)) 3) (pow (* (sqrt 2.0) (- re)) 3)) (+ (* (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (hypot re im))) (- (* (* (sqrt 2.0) (- re)) (* (sqrt 2.0) (- re))) (* (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (- (* (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (hypot re im))) (* (* (sqrt 2.0) (- re)) (* (sqrt 2.0) (- re)))) (- (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (hypot re im) (- re)) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (hypot re im) (- re)) (+ (hypot re im) (- re)) (+ (* (cbrt (sqrt 2.0)) (hypot re im)) (* (cbrt (sqrt 2.0)) (- re))) (+ (* (sqrt (cbrt 2.0)) (hypot re im)) (* (sqrt (cbrt 2.0)) (- re))) (+ (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt (sqrt 2.0)) (- re))) (+ (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt (sqrt 2.0)) (- re))) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt (sqrt 2.0)) (- re))) (+ (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt (sqrt 2.0)) (- re))) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))) (+ (hypot re im) (- re)) (expm1 (* (sqrt 2.0) (- re))) (log1p (* (sqrt 2.0) (- re))) (* (sqrt 2.0) (- re)) (+ (log (sqrt 2.0)) (log (- re))) (log (* (sqrt 2.0) (- re))) (exp (* (sqrt 2.0) (- re))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (- re) (- re)) (- re))) (* (cbrt (* (sqrt 2.0) (- re))) (cbrt (* (sqrt 2.0) (- re)))) (cbrt (* (sqrt 2.0) (- re))) (* (* (* (sqrt 2.0) (- re)) (* (sqrt 2.0) (- re))) (* (sqrt 2.0) (- re))) (sqrt (* (sqrt 2.0) (- re))) (sqrt (* (sqrt 2.0) (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt 2.0) re) (* (sqrt 2.0) (* (cbrt (- re)) (cbrt (- re)))) (* (sqrt 2.0) (sqrt (- re))) (* (sqrt 2.0) 1) (* (sqrt 2.0) -1) (* (sqrt 2.0) (- (* (cbrt re) (cbrt re)))) (* (sqrt 2.0) (- (sqrt re))) (* (sqrt 2.0) (- 1)) (* (sqrt 2.0) (* (cbrt re) (cbrt re))) (* (sqrt 2.0) (sqrt re)) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (- re)) (* (sqrt (cbrt 2.0)) (- re)) (* (sqrt (sqrt 2.0)) (- re)) (* (sqrt 2.0) (- re)) (* (sqrt (sqrt 2.0)) (- re)) (* (sqrt 2.0) (- re)) (expm1 (* (sqrt 2.0) (hypot re im))) (log1p (* (sqrt 2.0) (hypot re im))) (* (sqrt 2.0) (hypot re im)) (+ (log (sqrt 2.0)) (log (hypot re im))) (log (* (sqrt 2.0) (hypot re im))) (exp (* (sqrt 2.0) (hypot re im))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (hypot re im) (hypot re im)) (hypot re im))) (* (cbrt (* (sqrt 2.0) (hypot re im))) (cbrt (* (sqrt 2.0) (hypot re im)))) (cbrt (* (sqrt 2.0) (hypot re im))) (* (* (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (hypot re im))) (* (sqrt 2.0) (hypot re im))) (* 2.0 (+ (* re re) (* im im))) (sqrt (* (sqrt 2.0) (hypot re im))) (sqrt (* (sqrt 2.0) (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt 2.0) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt 2.0) (sqrt (hypot re im))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (hypot re im)) (* (sqrt (cbrt 2.0)) (hypot re im)) (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt 2.0) (hypot re im)) (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt 2.0) (hypot re im)) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt 2.0) (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (cbrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) 1))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) 1))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 1))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (* (sqrt 2.0) (hypot re im)) 3) (pow (* (sqrt 2.0) (- re)) 3)))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (hypot re im))) (* (* (sqrt 2.0) (- re)) (* (sqrt 2.0) (- re)))))) (- (* (sqrt 2.0) im) (* (sqrt 2.0) re)) 0 (* -2 (* (sqrt 2.0) re)) (* -1 (* (sqrt 2.0) re)) (* -1 (* (sqrt 2.0) re)) (* -1 (* (sqrt 2.0) re)) (* (sqrt 2.0) im) (* (sqrt 2.0) re) (* -1 (* (sqrt 2.0) 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 (/ (pow (sqrt 2.0) 4) re)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 6) (pow re 2))) (- (* +nan.0 (pow (sqrt 2.0) 2))))))) 3.298 * * [simplify]: iteration 0 : 468 enodes (cost 1126 ) 3.308 * * [simplify]: iteration 1 : 2264 enodes (cost 1039 ) 3.359 * * [simplify]: iteration 2 : 5002 enodes (cost 1020 ) 3.364 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (log1p (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (pow (exp (sqrt 2.0)) (- (hypot re im) re)) (+ (log (sqrt 2.0)) (log (- (hypot re im) re))) (pow (exp (sqrt 2.0)) (- (hypot re im) re)) (* (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (pow (* (sqrt 2.0) (+ (hypot re im) (- re))) 3) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))) (* (pow (sqrt 2.0) 3) (+ (pow (- re) 3) (pow (hypot re im) 3))) (fma (* (hypot re im) (hypot re im)) 2.0 (fma (* (hypot re im) 2.0) (- (- re)) (* 2.0 (pow re 2)))) (* 2.0 (- (* (hypot re im) (hypot re im)) (pow re 2))) (* (sqrt 2.0) (- (hypot re im) (- re))) (- (hypot re im) re) (* (sqrt 2.0) (- (hypot re im) re)) (* (sqrt 2.0) (- (hypot re im) re)) (- (hypot re im) re) (- (hypot re im) re) (* (- (hypot re im) re) (cbrt (sqrt 2.0))) (* (- (hypot re im) re) (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (- (hypot re im) re)) (* (sqrt (sqrt 2.0)) (- (hypot re im) re)) (* (sqrt 2.0) (- (hypot re im) re)) (* (sqrt (sqrt 2.0)) (- (hypot re im) re)) (* (sqrt (sqrt 2.0)) (- (hypot re im) re)) (* (sqrt 2.0) (- (hypot re im) re)) (* (sqrt 2.0) (- (hypot re im) re)) (- (hypot re im) re) (expm1 (* (sqrt 2.0) (- re))) (log1p (* (sqrt 2.0) (- re))) (* -1 (* (sqrt 2.0) re)) (log (* (sqrt 2.0) (- re))) (log (* (sqrt 2.0) (- re))) (exp (* (sqrt 2.0) (- re))) (pow (* (sqrt 2.0) (- re)) 3) (* (cbrt (* (sqrt 2.0) (- re))) (cbrt (* (sqrt 2.0) (- re)))) (cbrt (* (sqrt 2.0) (- re))) (pow (* (sqrt 2.0) (- re)) 3) (sqrt (* (sqrt 2.0) (- re))) (sqrt (* (sqrt 2.0) (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt (sqrt 2.0)) (sqrt (- re))) (* (sqrt 2.0) re) (* (sqrt 2.0) (* (cbrt (- re)) (cbrt (- re)))) (* (sqrt 2.0) (sqrt (- re))) (sqrt 2.0) (- (sqrt 2.0)) (* (sqrt 2.0) (- (* (cbrt re) (cbrt re)))) (* (sqrt 2.0) (- (sqrt re))) (- (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt re) (cbrt re))) (* (sqrt 2.0) (sqrt re)) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (- re)) (* (sqrt (cbrt 2.0)) (- re)) (* (sqrt (sqrt 2.0)) (- re)) (* -1 (* (sqrt 2.0) re)) (* (sqrt (sqrt 2.0)) (- re)) (* -1 (* (sqrt 2.0) re)) (expm1 (* (sqrt 2.0) (hypot re im))) (log1p (* (sqrt 2.0) (hypot re im))) (* (sqrt 2.0) (hypot re im)) (log (* (sqrt 2.0) (hypot re im))) (log (* (sqrt 2.0) (hypot re im))) (exp (* (sqrt 2.0) (hypot re im))) (pow (* (sqrt 2.0) (hypot re im)) 3) (* (cbrt (* (sqrt 2.0) (hypot re im))) (cbrt (* (sqrt 2.0) (hypot re im)))) (cbrt (* (sqrt 2.0) (hypot re im))) (pow (* (sqrt 2.0) (hypot re im)) 3) (* (fma re re (* im im)) 2.0) (sqrt (* (sqrt 2.0) (hypot re im))) (sqrt (* (sqrt 2.0) (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (hypot re im))) (* (sqrt 2.0) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt 2.0) (sqrt (hypot re im))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (hypot re im)) (* (sqrt (cbrt 2.0)) (hypot re im)) (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt 2.0) (hypot re im)) (* (sqrt (sqrt 2.0)) (hypot re im)) (* (sqrt 2.0) (hypot re im)) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* 2.0 (- (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* 2.0 (- (hypot re im) re)) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) 3) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (cbrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))))) (* (fabs (cbrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (sqrt (sqrt 2.0)) (sqrt 2.0) (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)) (sqrt 2.0) (sqrt 2.0) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)) (sqrt 2.0) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re)))))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (- re))))) (* (sqrt (sqrt 2.0)) (hypot (pow (* (sqrt 2.0) (- re)) 3/2) (pow (* (sqrt 2.0) (hypot re im)) 3/2))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (hypot re im))) (* (* (sqrt 2.0) (- re)) (* (sqrt 2.0) (- re)))))) (* (sqrt 2.0) (- im re)) 0 (* -2 (* (sqrt 2.0) re)) (* -1 (* (sqrt 2.0) re)) (* -1 (* (sqrt 2.0) re)) (* -1 (* (sqrt 2.0) re)) (* (sqrt 2.0) im) (* (sqrt 2.0) re) (* -1 (* (sqrt 2.0) re)) (fma (- (* +nan.0 (sqrt 2.0))) (pow im 2) (* (* +nan.0 (sqrt 2.0)) (- im (* im re)))) 0 (fma (- +nan.0) (/ 2.0 (/ re 2.0)) (* +nan.0 (- (/ (pow (sqrt 2.0) 6) (pow re 2)) 2.0))) 3.365 * * * [progress]: adding candidates to table 3.794 * [progress]: [Phase 3 of 3] Extracting. 3.794 * * [regime]: Finding splitpoints for: (# # # # # #) 3.796 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.796 * * * * [regimes]: Trying to branch on im from (# # # # # #) 3.851 * * * * [regimes]: Trying to branch on re from (# # # # # #) 3.895 * * * [regime]: Found split indices: #