2.458 * [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. 0.029 * [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 ) 0.035 * * [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) 0.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.078 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of 1 in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of 1/2 in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of 1 in im 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of 1/2 in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.146 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.146 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of -1 in im 0.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.150 * [taylor]: Taking taylor expansion of 1/2 in im 0.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.155 * [taylor]: Taking taylor expansion of re in im 0.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.160 * [taylor]: Taking taylor expansion of re in im 0.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.177 * [taylor]: Taking taylor expansion of re in im 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [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) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of 2 in im 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [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 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.195 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.195 * [taylor]: Taking taylor expansion of 2.0 in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.196 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.196 * [taylor]: Taking taylor expansion of re in im 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.200 * [taylor]: Taking taylor expansion of 2.0 in re 0.201 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.202 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.202 * [taylor]: Taking taylor expansion of 2.0 in re 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.209 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.209 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.209 * [taylor]: Taking taylor expansion of 1/2 in im 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.209 * [taylor]: Taking taylor expansion of 2.0 in im 0.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.210 * [taylor]: Taking taylor expansion of im in im 0.231 * [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 0.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 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 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.235 * [taylor]: Taking taylor expansion of re in im 0.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.236 * [taylor]: Taking taylor expansion of 2.0 in re 0.237 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.247 * [taylor]: Taking taylor expansion of 2.0 in re 0.248 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.248 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.248 * [taylor]: Taking taylor expansion of im in re 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.248 * [taylor]: Taking taylor expansion of re in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.257 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.257 * [taylor]: Taking taylor expansion of +nan.0 in im 0.257 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.257 * [taylor]: Taking taylor expansion of 2.0 in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.264 * [taylor]: Taking taylor expansion of +nan.0 in im 0.264 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.282 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.282 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.282 * [taylor]: Taking taylor expansion of +nan.0 in im 0.282 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.282 * [taylor]: Taking taylor expansion of 2.0 in im 0.282 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) 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 0.284 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.307 * [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 0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.307 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.308 * [taylor]: Taking taylor expansion of re in im 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.308 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.308 * [taylor]: Taking taylor expansion of re in im 0.312 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.312 * [taylor]: Taking taylor expansion of 2.0 in re 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.313 * [taylor]: Taking taylor expansion of im in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.317 * [taylor]: Taking taylor expansion of 2.0 in re 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.317 * [taylor]: Taking taylor expansion of re in re 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.318 * [taylor]: Taking taylor expansion of im in re 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.318 * [taylor]: Taking taylor expansion of re in re 0.322 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.331 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.331 * [taylor]: Taking taylor expansion of +nan.0 in im 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.340 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.340 * [taylor]: Taking taylor expansion of +nan.0 in im 0.340 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.340 * [taylor]: Taking taylor expansion of 2.0 in im 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.341 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.341 * [taylor]: Taking taylor expansion of +nan.0 in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.342 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.353 * [taylor]: Taking taylor expansion of +nan.0 in im 0.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.353 * [taylor]: Taking taylor expansion of 2.0 in im 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.354 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.354 * [taylor]: Taking taylor expansion of +nan.0 in im 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.354 * [taylor]: Taking taylor expansion of 2.0 in im 0.367 * * * [progress]: simplifying candidates 0.368 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- re) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +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))))))) 0.374 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.380 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.406 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.409 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +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)))) 0.410 * * * [progress]: adding candidates to table 0.589 * * [progress]: iteration 2 / 4 0.589 * * * [progress]: picking best candidate 0.596 * * * * [pick]: Picked # 0.596 * * * [progress]: localizing error 0.605 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.609 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.619 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1) 0.620 * * * [progress]: generating series expansions 0.620 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.620 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.620 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.620 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.622 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.622 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.622 * [taylor]: Taking taylor expansion of (* re re) in im 0.622 * [taylor]: Taking taylor expansion of re in im 0.622 * [taylor]: Taking taylor expansion of re in im 0.622 * [taylor]: Taking taylor expansion of (* im im) in im 0.622 * [taylor]: Taking taylor expansion of im in im 0.622 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of re in im 0.623 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.623 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.623 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.623 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.623 * [taylor]: Taking taylor expansion of (* re re) in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (* im im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.624 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.624 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.625 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.625 * [taylor]: Taking taylor expansion of (* re re) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of (* im im) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.626 * [taylor]: Taking taylor expansion of re in re 0.626 * [taylor]: Taking taylor expansion of im in im 0.627 * [taylor]: Taking taylor expansion of -1 in im 0.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.629 * [taylor]: Taking taylor expansion of 1/2 in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.631 * [taylor]: Taking taylor expansion of 0 in im 0.633 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.633 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.633 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.633 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.633 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.636 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.636 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.636 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.636 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.640 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.640 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.640 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.641 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.641 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.643 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [taylor]: Taking taylor expansion of 0 in im 0.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.648 * [taylor]: Taking taylor expansion of 1/2 in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.655 * [taylor]: Taking taylor expansion of re in im 0.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.656 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.656 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.656 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.656 * [taylor]: Taking taylor expansion of -1 in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.656 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.656 * [taylor]: Taking taylor expansion of -1 in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.656 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.656 * [taylor]: Taking taylor expansion of -1 in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.656 * [taylor]: Taking taylor expansion of -1 in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.659 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.659 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.659 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.659 * [taylor]: Taking taylor expansion of -1 in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.660 * [taylor]: Taking taylor expansion of -1 in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.660 * [taylor]: Taking taylor expansion of -1 in re 0.660 * [taylor]: Taking taylor expansion of im in re 0.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.660 * [taylor]: Taking taylor expansion of -1 in re 0.660 * [taylor]: Taking taylor expansion of im in re 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.663 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.663 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.663 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.663 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.663 * [taylor]: Taking taylor expansion of -1 in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.664 * [taylor]: Taking taylor expansion of -1 in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.664 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.664 * [taylor]: Taking taylor expansion of -1 in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.664 * [taylor]: Taking taylor expansion of -1 in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of 2 in im 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.671 * [taylor]: Taking taylor expansion of 1/2 in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.677 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.677 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.677 * [taylor]: Taking taylor expansion of 2.0 in im 0.678 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.678 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.678 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.678 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.678 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.678 * [taylor]: Taking taylor expansion of (* re re) in im 0.678 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of (* im im) in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.684 * [taylor]: Taking taylor expansion of 2.0 in re 0.684 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.684 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.684 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.684 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.685 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.685 * [taylor]: Taking taylor expansion of (* re re) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of (* im im) in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.690 * [taylor]: Taking taylor expansion of 2.0 in re 0.690 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.690 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.690 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.690 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.690 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.690 * [taylor]: Taking taylor expansion of (* re re) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of (* im im) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.693 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.693 * [taylor]: Taking taylor expansion of 2.0 in im 0.693 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.693 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.697 * [taylor]: Taking taylor expansion of 1/2 in im 0.697 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.697 * [taylor]: Taking taylor expansion of 2.0 in im 0.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.718 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.718 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.718 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.718 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.718 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.719 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.723 * [taylor]: Taking taylor expansion of 2.0 in im 0.723 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.723 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.723 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.723 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.724 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.724 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.733 * [taylor]: Taking taylor expansion of 2.0 in re 0.733 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.733 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.734 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.734 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.742 * [taylor]: Taking taylor expansion of 2.0 in re 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.744 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.744 * [taylor]: Taking taylor expansion of +nan.0 in im 0.744 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.744 * [taylor]: Taking taylor expansion of 2.0 in im 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.753 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.753 * [taylor]: Taking taylor expansion of +nan.0 in im 0.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.753 * [taylor]: Taking taylor expansion of 2.0 in im 0.753 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.770 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.770 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.770 * [taylor]: Taking taylor expansion of +nan.0 in im 0.770 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.770 * [taylor]: Taking taylor expansion of 2.0 in im 0.771 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.771 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.774 * [taylor]: Taking taylor expansion of +nan.0 in im 0.774 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.774 * [taylor]: Taking taylor expansion of 2.0 in im 0.775 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.798 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.798 * [taylor]: Taking taylor expansion of 2.0 in im 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.799 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.799 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.799 * [taylor]: Taking taylor expansion of -1 in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.799 * [taylor]: Taking taylor expansion of -1 in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.799 * [taylor]: Taking taylor expansion of -1 in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.799 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.799 * [taylor]: Taking taylor expansion of -1 in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.804 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.804 * [taylor]: Taking taylor expansion of 2.0 in re 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.804 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.804 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.805 * [taylor]: Taking taylor expansion of -1 in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.805 * [taylor]: Taking taylor expansion of -1 in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.806 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.806 * [taylor]: Taking taylor expansion of -1 in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.806 * [taylor]: Taking taylor expansion of -1 in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.810 * [taylor]: Taking taylor expansion of 2.0 in re 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.811 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.811 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.811 * [taylor]: Taking taylor expansion of -1 in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.811 * [taylor]: Taking taylor expansion of -1 in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.812 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of 0 in im 0.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.818 * [taylor]: Taking taylor expansion of +nan.0 in im 0.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.818 * [taylor]: Taking taylor expansion of 2.0 in im 0.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.823 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.823 * [taylor]: Taking taylor expansion of +nan.0 in im 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.823 * [taylor]: Taking taylor expansion of 2.0 in im 0.832 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.832 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.832 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.832 * [taylor]: Taking taylor expansion of +nan.0 in im 0.832 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.832 * [taylor]: Taking taylor expansion of 2.0 in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.834 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.834 * [taylor]: Taking taylor expansion of +nan.0 in im 0.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.834 * [taylor]: Taking taylor expansion of 2.0 in im 0.845 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.845 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.845 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.845 * [taylor]: Taking taylor expansion of +nan.0 in im 0.846 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.846 * [taylor]: Taking taylor expansion of 2.0 in im 0.846 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.847 * [taylor]: Taking taylor expansion of +nan.0 in im 0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.847 * [taylor]: Taking taylor expansion of 2.0 in im 0.863 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1) 0.863 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.863 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.863 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.863 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.863 * [taylor]: Taking taylor expansion of (* re re) in im 0.863 * [taylor]: Taking taylor expansion of re in im 0.863 * [taylor]: Taking taylor expansion of re in im 0.863 * [taylor]: Taking taylor expansion of (* im im) in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.864 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.864 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.864 * [taylor]: Taking taylor expansion of (* re re) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [taylor]: Taking taylor expansion of (* im im) in re 0.864 * [taylor]: Taking taylor expansion of im in re 0.864 * [taylor]: Taking taylor expansion of im in re 0.865 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.866 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.866 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.866 * [taylor]: Taking taylor expansion of (* re re) in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of (* im im) in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of 0 in im 0.868 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.868 * [taylor]: Taking taylor expansion of 1/2 in im 0.868 * [taylor]: Taking taylor expansion of im in im 0.870 * [taylor]: Taking taylor expansion of 0 in im 0.871 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.871 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.871 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.871 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.871 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.871 * [taylor]: Taking taylor expansion of re in im 0.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.871 * [taylor]: Taking taylor expansion of re in im 0.871 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.871 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.874 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.875 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.875 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.878 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.878 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.878 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.878 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.878 * [taylor]: Taking taylor expansion of re in re 0.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.878 * [taylor]: Taking taylor expansion of re in re 0.879 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.879 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.879 * [taylor]: Taking taylor expansion of im in re 0.879 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.879 * [taylor]: Taking taylor expansion of im in re 0.882 * [taylor]: Taking taylor expansion of 1 in im 0.882 * [taylor]: Taking taylor expansion of 0 in im 0.884 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.884 * [taylor]: Taking taylor expansion of 1/2 in im 0.884 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.884 * [taylor]: Taking taylor expansion of im in im 0.888 * [taylor]: Taking taylor expansion of 0 in im 0.889 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.889 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.889 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.889 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.889 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.889 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.889 * [taylor]: Taking taylor expansion of -1 in im 0.889 * [taylor]: Taking taylor expansion of re in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of re in im 0.890 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.890 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.893 * [taylor]: Taking taylor expansion of -1 in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.893 * [taylor]: Taking taylor expansion of -1 in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.894 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.894 * [taylor]: Taking taylor expansion of -1 in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.894 * [taylor]: Taking taylor expansion of -1 in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.900 * [taylor]: Taking taylor expansion of 1 in im 0.900 * [taylor]: Taking taylor expansion of 0 in im 0.903 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.903 * [taylor]: Taking taylor expansion of 1/2 in im 0.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.903 * [taylor]: Taking taylor expansion of im in im 0.907 * [taylor]: Taking taylor expansion of 0 in im 0.908 * * * [progress]: simplifying candidates 0.909 * [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 (- (hypot re im) re)))) (log1p (sqrt (* 2.0 (- (hypot re im) re)))) (log (sqrt (* 2.0 (- (hypot re im) re)))) (exp (sqrt (* 2.0 (- (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (* (* (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (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) 0.913 * * [simplify]: iteration 0 : 231 enodes (cost 336 ) 0.917 * * [simplify]: iteration 1 : 764 enodes (cost 242 ) 0.938 * * [simplify]: iteration 2 : 4704 enodes (cost 227 ) 1.041 * * [simplify]: iteration 3 : 5001 enodes (cost 217 ) 1.043 * [simplify]: Simplified to: (fma (/ (* -1 re) 2) 2 (pow (cbrt (hypot re im)) 3)) 0 (fma (/ (* -1 re) 2) 2 (pow (cbrt (hypot re im)) 3)) 0 (fma (/ (* -1 re) 2) 2 (pow (cbrt (hypot re im)) 3)) 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) re) (pow re 2)) (* -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 (- (hypot re im) re)))) (log1p (sqrt (* 2.0 (- (hypot re im) re)))) (log (sqrt (* 2.0 (- (hypot re im) re)))) (exp (sqrt (* 2.0 (- (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (pow (sqrt (* 2.0 (- (hypot re im) re))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (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 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) im re (* -1 re) 1.043 * * * [progress]: adding candidates to table 1.183 * * [progress]: iteration 3 / 4 1.183 * * * [progress]: picking best candidate 1.198 * * * * [pick]: Picked # 1.198 * * * [progress]: localizing error 1.208 * * * [progress]: generating rewritten candidates 1.208 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 1.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 1.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.249 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.259 * * * [progress]: generating series expansions 1.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 1.260 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.260 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.260 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.260 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.260 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.260 * [taylor]: Taking taylor expansion of (* re re) in im 1.260 * [taylor]: Taking taylor expansion of re in im 1.260 * [taylor]: Taking taylor expansion of re in im 1.260 * [taylor]: Taking taylor expansion of (* im im) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.261 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.261 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.261 * [taylor]: Taking taylor expansion of (* re re) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of (* im im) in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.263 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.263 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.263 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.263 * [taylor]: Taking taylor expansion of (* re re) in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [taylor]: Taking taylor expansion of (* im im) in re 1.263 * [taylor]: Taking taylor expansion of im in re 1.263 * [taylor]: Taking taylor expansion of im in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of im in im 1.265 * [taylor]: Taking taylor expansion of -1 in im 1.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.267 * [taylor]: Taking taylor expansion of 1/2 in im 1.267 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of 0 in im 1.271 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.271 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.271 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.271 * [taylor]: Taking taylor expansion of re in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.271 * [taylor]: Taking taylor expansion of re in im 1.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.274 * [taylor]: Taking taylor expansion of re in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.275 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.275 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.275 * [taylor]: Taking taylor expansion of im in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.278 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.278 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.278 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of 0 in im 1.283 * [taylor]: Taking taylor expansion of 0 in im 1.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.286 * [taylor]: Taking taylor expansion of 1/2 in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of 0 in im 1.293 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.293 * [taylor]: Taking taylor expansion of re in im 1.293 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.293 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.293 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.293 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.294 * [taylor]: Taking taylor expansion of -1 in im 1.294 * [taylor]: Taking taylor expansion of re in im 1.294 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.294 * [taylor]: Taking taylor expansion of -1 in im 1.294 * [taylor]: Taking taylor expansion of re in im 1.294 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.294 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.294 * [taylor]: Taking taylor expansion of -1 in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.294 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.294 * [taylor]: Taking taylor expansion of -1 in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.297 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.297 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.297 * [taylor]: Taking taylor expansion of -1 in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.298 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.298 * [taylor]: Taking taylor expansion of -1 in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.298 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.298 * [taylor]: Taking taylor expansion of -1 in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.298 * [taylor]: Taking taylor expansion of -1 in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.301 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.301 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.301 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.301 * [taylor]: Taking taylor expansion of -1 in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of 2 in im 1.306 * [taylor]: Taking taylor expansion of 0 in im 1.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.309 * [taylor]: Taking taylor expansion of 1/2 in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.314 * [taylor]: Taking taylor expansion of 0 in im 1.316 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 1.316 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.316 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.316 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.316 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.316 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.316 * [taylor]: Taking taylor expansion of (* re re) in im 1.316 * [taylor]: Taking taylor expansion of re in im 1.316 * [taylor]: Taking taylor expansion of re in im 1.316 * [taylor]: Taking taylor expansion of (* im im) in im 1.316 * [taylor]: Taking taylor expansion of im in im 1.316 * [taylor]: Taking taylor expansion of im in im 1.320 * [taylor]: Taking taylor expansion of re in im 1.320 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.321 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.321 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.321 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.321 * [taylor]: Taking taylor expansion of (* re re) in re 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [taylor]: Taking taylor expansion of (* im im) in re 1.321 * [taylor]: Taking taylor expansion of im in re 1.321 * [taylor]: Taking taylor expansion of im in re 1.322 * [taylor]: Taking taylor expansion of re in re 1.322 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.322 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.322 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.322 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.322 * [taylor]: Taking taylor expansion of (* re re) in re 1.322 * [taylor]: Taking taylor expansion of re in re 1.322 * [taylor]: Taking taylor expansion of re in re 1.322 * [taylor]: Taking taylor expansion of (* im im) in re 1.322 * [taylor]: Taking taylor expansion of im in re 1.322 * [taylor]: Taking taylor expansion of im in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.324 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of -1 in im 1.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.326 * [taylor]: Taking taylor expansion of 1/2 in im 1.326 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.329 * [taylor]: Taking taylor expansion of 0 in im 1.330 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.330 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.330 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.330 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.330 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.330 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.330 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.331 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.331 * [taylor]: Taking taylor expansion of im in im 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.333 * [taylor]: Taking taylor expansion of re in im 1.333 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.334 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.337 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.337 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.337 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.338 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.341 * [taylor]: Taking taylor expansion of 0 in im 1.342 * [taylor]: Taking taylor expansion of 0 in im 1.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.346 * [taylor]: Taking taylor expansion of 1/2 in im 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.351 * [taylor]: Taking taylor expansion of 0 in im 1.352 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.353 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.353 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.353 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.353 * [taylor]: Taking taylor expansion of -1 in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.353 * [taylor]: Taking taylor expansion of -1 in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.353 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.353 * [taylor]: Taking taylor expansion of -1 in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.353 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.353 * [taylor]: Taking taylor expansion of -1 in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.356 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.360 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.360 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.364 * [taylor]: Taking taylor expansion of 2 in im 1.365 * [taylor]: Taking taylor expansion of 0 in im 1.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.368 * [taylor]: Taking taylor expansion of 1/2 in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of 0 in im 1.374 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.375 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.375 * [taylor]: Taking taylor expansion of 2.0 in im 1.375 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.375 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.375 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.376 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.376 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.376 * [taylor]: Taking taylor expansion of (* re re) in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of (* im im) in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.381 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.381 * [taylor]: Taking taylor expansion of 2.0 in re 1.382 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.382 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.382 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.382 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.382 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.382 * [taylor]: Taking taylor expansion of (* re re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (* im im) in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.384 * [taylor]: Taking taylor expansion of 2.0 in re 1.385 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.385 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.385 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.385 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.385 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.385 * [taylor]: Taking taylor expansion of (* re re) in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (* im im) in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.386 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.387 * [taylor]: Taking taylor expansion of 2.0 in im 1.388 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.392 * [taylor]: Taking taylor expansion of 1/2 in im 1.392 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.392 * [taylor]: Taking taylor expansion of 2.0 in im 1.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.393 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.416 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.416 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.416 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.416 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.416 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.416 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.416 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.416 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.416 * [taylor]: Taking taylor expansion of re in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.416 * [taylor]: Taking taylor expansion of re in im 1.416 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.417 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.417 * [taylor]: Taking taylor expansion of im in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.421 * [taylor]: Taking taylor expansion of 2.0 in im 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.421 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.422 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.422 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.422 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.422 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.425 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.430 * [taylor]: Taking taylor expansion of 2.0 in re 1.431 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.431 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.431 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.431 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.431 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.431 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.431 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.432 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.432 * [taylor]: Taking taylor expansion of re in re 1.432 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.432 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.432 * [taylor]: Taking taylor expansion of im in re 1.432 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.432 * [taylor]: Taking taylor expansion of im in re 1.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.435 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.440 * [taylor]: Taking taylor expansion of 2.0 in re 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.442 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.442 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.442 * [taylor]: Taking taylor expansion of +nan.0 in im 1.442 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.442 * [taylor]: Taking taylor expansion of 2.0 in im 1.442 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.451 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.451 * [taylor]: Taking taylor expansion of +nan.0 in im 1.451 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.451 * [taylor]: Taking taylor expansion of 2.0 in im 1.451 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.451 * [taylor]: Taking taylor expansion of im in im 1.468 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.468 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.468 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.468 * [taylor]: Taking taylor expansion of +nan.0 in im 1.468 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.468 * [taylor]: Taking taylor expansion of 2.0 in im 1.469 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.469 * [taylor]: Taking taylor expansion of im in im 1.470 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.470 * [taylor]: Taking taylor expansion of +nan.0 in im 1.470 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.470 * [taylor]: Taking taylor expansion of 2.0 in im 1.471 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.471 * [taylor]: Taking taylor expansion of im in im 1.496 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) 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 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.497 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.497 * [taylor]: Taking taylor expansion of re in im 1.497 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.497 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.497 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.497 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.497 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.497 * [taylor]: Taking taylor expansion of -1 in im 1.497 * [taylor]: Taking taylor expansion of re in im 1.497 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.497 * [taylor]: Taking taylor expansion of -1 in im 1.497 * [taylor]: Taking taylor expansion of re in im 1.497 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.498 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.498 * [taylor]: Taking taylor expansion of -1 in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.498 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.498 * [taylor]: Taking taylor expansion of -1 in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.502 * [taylor]: Taking taylor expansion of 2.0 in re 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.503 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.503 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.503 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.503 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.503 * [taylor]: Taking taylor expansion of -1 in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.504 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.504 * [taylor]: Taking taylor expansion of -1 in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.504 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.504 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.504 * [taylor]: Taking taylor expansion of -1 in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.504 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.504 * [taylor]: Taking taylor expansion of -1 in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.508 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.508 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.508 * [taylor]: Taking taylor expansion of 2.0 in re 1.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.509 * [taylor]: Taking taylor expansion of re in re 1.509 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.509 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.509 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.509 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.509 * [taylor]: Taking taylor expansion of -1 in re 1.509 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.510 * [taylor]: Taking taylor expansion of -1 in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.510 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.510 * [taylor]: Taking taylor expansion of -1 in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.510 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.510 * [taylor]: Taking taylor expansion of -1 in re 1.510 * [taylor]: Taking taylor expansion of im in re 1.514 * [taylor]: Taking taylor expansion of 0 in im 1.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.516 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.516 * [taylor]: Taking taylor expansion of +nan.0 in im 1.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.516 * [taylor]: Taking taylor expansion of 2.0 in im 1.521 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.521 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.521 * [taylor]: Taking taylor expansion of +nan.0 in im 1.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.521 * [taylor]: Taking taylor expansion of 2.0 in im 1.530 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.530 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.530 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.530 * [taylor]: Taking taylor expansion of +nan.0 in im 1.530 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.530 * [taylor]: Taking taylor expansion of 2.0 in im 1.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.531 * [taylor]: Taking taylor expansion of im in im 1.532 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.532 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.532 * [taylor]: Taking taylor expansion of +nan.0 in im 1.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.532 * [taylor]: Taking taylor expansion of 2.0 in im 1.544 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.544 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.544 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.544 * [taylor]: Taking taylor expansion of +nan.0 in im 1.544 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.544 * [taylor]: Taking taylor expansion of 2.0 in im 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.546 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.546 * [taylor]: Taking taylor expansion of +nan.0 in im 1.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.546 * [taylor]: Taking taylor expansion of 2.0 in im 1.559 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.559 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in (re im) around 0 1.559 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in im 1.559 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.559 * [taylor]: Taking taylor expansion of 2.0 in im 1.561 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in im 1.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in im 1.561 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in im 1.561 * [taylor]: Taking taylor expansion of 1/4 in im 1.561 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 1.561 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.561 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.561 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.561 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.561 * [taylor]: Taking taylor expansion of (* re re) in im 1.561 * [taylor]: Taking taylor expansion of re in im 1.561 * [taylor]: Taking taylor expansion of re in im 1.561 * [taylor]: Taking taylor expansion of (* im im) in im 1.561 * [taylor]: Taking taylor expansion of im in im 1.561 * [taylor]: Taking taylor expansion of im in im 1.562 * [taylor]: Taking taylor expansion of re in im 1.565 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in re 1.565 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.565 * [taylor]: Taking taylor expansion of 2.0 in re 1.567 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in re 1.567 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in re 1.567 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in re 1.567 * [taylor]: Taking taylor expansion of 1/4 in re 1.567 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 1.567 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.567 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.567 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.567 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.567 * [taylor]: Taking taylor expansion of (* re re) in re 1.567 * [taylor]: Taking taylor expansion of re in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [taylor]: Taking taylor expansion of (* im im) in re 1.568 * [taylor]: Taking taylor expansion of im in re 1.568 * [taylor]: Taking taylor expansion of im in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in re 1.569 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.569 * [taylor]: Taking taylor expansion of 2.0 in re 1.574 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in re 1.574 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in re 1.574 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in re 1.574 * [taylor]: Taking taylor expansion of 1/4 in re 1.574 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 1.574 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.574 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.574 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.574 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.574 * [taylor]: Taking taylor expansion of (* re re) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [taylor]: Taking taylor expansion of (* im im) in re 1.574 * [taylor]: Taking taylor expansion of im in re 1.574 * [taylor]: Taking taylor expansion of im in re 1.575 * [taylor]: Taking taylor expansion of re in re 1.577 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 1.577 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.577 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.577 * [taylor]: Taking taylor expansion of 2.0 in im 1.578 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 1.578 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 1.578 * [taylor]: Taking taylor expansion of 1/4 in im 1.578 * [taylor]: Taking taylor expansion of (log im) in im 1.578 * [taylor]: Taking taylor expansion of im in im 1.583 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)))) in im 1.583 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 1.583 * [taylor]: Taking taylor expansion of 1/4 in im 1.583 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 1.583 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.583 * [taylor]: Taking taylor expansion of 2.0 in im 1.585 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 1.585 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 1.585 * [taylor]: Taking taylor expansion of 1/4 in im 1.585 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.585 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.585 * [taylor]: Taking taylor expansion of im in im 1.598 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 1.598 * [taylor]: Taking taylor expansion of 1/32 in im 1.598 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 1.598 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.598 * [taylor]: Taking taylor expansion of 2.0 in im 1.599 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 1.599 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 1.600 * [taylor]: Taking taylor expansion of 1/4 in im 1.600 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 1.600 * [taylor]: Taking taylor expansion of (pow im 7) in im 1.600 * [taylor]: Taking taylor expansion of im in im 1.606 * [approximate]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.606 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 1.606 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 1.606 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 1.606 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.606 * [taylor]: Taking taylor expansion of 1/4 in im 1.606 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.606 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.606 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.606 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.606 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.606 * [taylor]: Taking taylor expansion of re in im 1.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.606 * [taylor]: Taking taylor expansion of re in im 1.606 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.606 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.606 * [taylor]: Taking taylor expansion of im in im 1.607 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.607 * [taylor]: Taking taylor expansion of im in im 1.609 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.609 * [taylor]: Taking taylor expansion of re in im 1.610 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.610 * [taylor]: Taking taylor expansion of 2.0 in im 1.612 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 1.612 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 1.612 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.612 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.612 * [taylor]: Taking taylor expansion of 1/4 in re 1.612 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.612 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.612 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.612 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.612 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.612 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.612 * [taylor]: Taking taylor expansion of re in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.613 * [taylor]: Taking taylor expansion of re in re 1.613 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.613 * [taylor]: Taking taylor expansion of im in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.613 * [taylor]: Taking taylor expansion of im in re 1.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.621 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.621 * [taylor]: Taking taylor expansion of 2.0 in re 1.623 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 1.623 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 1.623 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.623 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.623 * [taylor]: Taking taylor expansion of 1/4 in re 1.623 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.623 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.623 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.623 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.623 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.624 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.624 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.626 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.626 * [taylor]: Taking taylor expansion of re in re 1.632 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.632 * [taylor]: Taking taylor expansion of 2.0 in re 1.634 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 1.635 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.635 * [taylor]: Taking taylor expansion of 2.0 in im 1.636 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.636 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.636 * [taylor]: Taking taylor expansion of 1/4 in im 1.636 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.636 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.636 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.636 * [taylor]: Taking taylor expansion of 1/2 in im 1.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.636 * [taylor]: Taking taylor expansion of im in im 1.637 * [taylor]: Taking taylor expansion of (log re) in im 1.637 * [taylor]: Taking taylor expansion of re in im 1.646 * [taylor]: Taking taylor expansion of 0 in im 1.660 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im 1.660 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 1.660 * [taylor]: Taking taylor expansion of 1/16 in im 1.660 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.660 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.660 * [taylor]: Taking taylor expansion of 2.0 in im 1.665 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.665 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.665 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.665 * [taylor]: Taking taylor expansion of 1/4 in im 1.665 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.665 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.665 * [taylor]: Taking taylor expansion of 1/2 in im 1.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.665 * [taylor]: Taking taylor expansion of im in im 1.666 * [taylor]: Taking taylor expansion of (log re) in im 1.666 * [taylor]: Taking taylor expansion of re in im 1.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.667 * [taylor]: Taking taylor expansion of im in im 1.705 * [taylor]: Taking taylor expansion of 0 in im 1.706 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in (re im) around 0 1.706 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in im 1.706 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.706 * [taylor]: Taking taylor expansion of 2.0 in im 1.708 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in im 1.708 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.708 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.708 * [taylor]: Taking taylor expansion of 1/4 in im 1.708 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.708 * [taylor]: Taking taylor expansion of re in im 1.708 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.708 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.708 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.708 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.708 * [taylor]: Taking taylor expansion of -1 in im 1.708 * [taylor]: Taking taylor expansion of re in im 1.708 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.708 * [taylor]: Taking taylor expansion of -1 in im 1.708 * [taylor]: Taking taylor expansion of re in im 1.708 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.708 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.708 * [taylor]: Taking taylor expansion of -1 in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.708 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.708 * [taylor]: Taking taylor expansion of -1 in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.712 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in re 1.712 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.713 * [taylor]: Taking taylor expansion of 2.0 in re 1.714 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in re 1.714 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.714 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.714 * [taylor]: Taking taylor expansion of 1/4 in re 1.714 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.714 * [taylor]: Taking taylor expansion of re in re 1.715 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.715 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.715 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.715 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.715 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.715 * [taylor]: Taking taylor expansion of -1 in re 1.715 * [taylor]: Taking taylor expansion of re in re 1.715 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.715 * [taylor]: Taking taylor expansion of -1 in re 1.715 * [taylor]: Taking taylor expansion of re in re 1.715 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.715 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.715 * [taylor]: Taking taylor expansion of -1 in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.716 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.716 * [taylor]: Taking taylor expansion of -1 in re 1.716 * [taylor]: Taking taylor expansion of im in re 1.720 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in re 1.720 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) 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 1.721 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in re 1.721 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.721 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.721 * [taylor]: Taking taylor expansion of 1/4 in re 1.722 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.722 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.722 * [taylor]: Taking taylor expansion of re in re 1.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.722 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.722 * [taylor]: Taking taylor expansion of -1 in re 1.722 * [taylor]: Taking taylor expansion of re in re 1.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.722 * [taylor]: Taking taylor expansion of -1 in re 1.722 * [taylor]: Taking taylor expansion of re in re 1.723 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.723 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.723 * [taylor]: Taking taylor expansion of -1 in re 1.723 * [taylor]: Taking taylor expansion of im in re 1.723 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.723 * [taylor]: Taking taylor expansion of -1 in re 1.723 * [taylor]: Taking taylor expansion of im in re 1.728 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt (sqrt 2.0))) in im 1.728 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.728 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.728 * [taylor]: Taking taylor expansion of 1/4 in im 1.728 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.728 * [taylor]: Taking taylor expansion of (log 2) in im 1.728 * [taylor]: Taking taylor expansion of 2 in im 1.728 * [taylor]: Taking taylor expansion of (log re) in im 1.728 * [taylor]: Taking taylor expansion of re in im 1.729 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) 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 1.736 * [taylor]: Taking taylor expansion of 0 in im 1.752 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0)))) in im 1.752 * [taylor]: Taking taylor expansion of 1/16 in im 1.752 * [taylor]: Taking taylor expansion of (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0))) in im 1.752 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 1.752 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.752 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.752 * [taylor]: Taking taylor expansion of 1/4 in im 1.752 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.753 * [taylor]: Taking taylor expansion of (log 2) in im 1.753 * [taylor]: Taking taylor expansion of 2 in im 1.753 * [taylor]: Taking taylor expansion of (log re) in im 1.753 * [taylor]: Taking taylor expansion of re in im 1.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.754 * [taylor]: Taking taylor expansion of im in im 1.754 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.754 * [taylor]: Taking taylor expansion of 2.0 in im 1.789 * [taylor]: Taking taylor expansion of 0 in im 1.790 * * * [progress]: simplifying candidates 1.793 * [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) (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 (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (log1p (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (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))))) (* (* 2.0 (- (hypot re im) re)) (* 2.0 (- (hypot re im) re))) (* (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (* 2.0 (- (hypot re im) re)))) (* (* 2.0 (- (hypot re im) re)) (* 2.0 (- (hypot re im) re))) (* (* 2.0 (- (hypot re im) re)) (* 2.0 (- (hypot re im) re))) (* (* 2.0 (- (hypot re im) re)) (* 2.0 (- (hypot re im) re))) (* (* 2.0 (- (hypot re im) re)) (* 2.0 (- (hypot re im) re))) (+ 1 1) (+ (log (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (log (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (log (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (exp (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (* (* (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (* 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2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))))) (sqrt (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt 1) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (sqrt (+ (hypot re im) re))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (- im re) 0 (* -2 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))))))) (- (+ (* 1/32 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2)))) (* (sqrt (sqrt 2.0)) (pow im 1/4))) (* 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re)))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im))))))) (* (exp (* 1/4 (- (log 2) (log (/ -1 re))))) (sqrt (sqrt 2.0))) 1.801 * * [simplify]: iteration 0 : 434 enodes (cost 1199 ) 1.809 * * [simplify]: iteration 1 : 1828 enodes (cost 970 ) 1.852 * * [simplify]: iteration 2 : 5001 enodes (cost 940 ) 1.857 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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))) (- 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) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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))) (- 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 (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (log1p (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) 1 1 2 1/2 1/2 1/2 1 1 1/2 1/2 1/2 1/2 1/2 1/2 (* 2.0 (- (hypot re im) re)) (sqrt (* 2.0 (- (hypot re im) re))) (pow (sqrt (* 2.0 (- (hypot re im) re))) 4) (* 2.0 (- (hypot re im) re)) (pow (sqrt (* 2.0 (- (hypot re im) re))) 4) (pow (sqrt (* 2.0 (- (hypot re im) re))) 4) (pow (sqrt (* 2.0 (- (hypot re im) re))) 4) (pow (sqrt (* 2.0 (- (hypot re im) re))) 4) 2 (* 2 (log (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (* 2 (log (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (pow (exp 1) (sqrt (* 2.0 (- (hypot re im) re)))) (pow (sqrt (* 2.0 (- (hypot re im) re))) 3) (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (pow (sqrt (* 2.0 (- (hypot re im) re))) 3) (* 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 (- (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 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))))) (* (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))))) (* (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ (hypot re im) re)) (pow (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 4) (* (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) 1 (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) 1 (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) 1 2 1/2 1 1/2 1/2 1/2 1/2 (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))))) (* (fabs (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 3) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (pow (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 3) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (pow (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 4) (* (sqrt (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (pow (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 3) (sqrt (* 2.0 (- (hypot re im) re))) (pow (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 3) (sqrt (* 2.0 (- (hypot re im) re))) (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))))) (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))))) (expm1 (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (log1p (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (log (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (exp (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (* (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))) (cbrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (pow (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) 3) (fabs (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) 1 (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (sqrt (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (sqrt (+ (hypot re im) re))) 1/4 1/2 1/4 1/4 (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (sqrt (sqrt (sqrt (* 2.0 (- (hypot re im) re))))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (fma (- (* +nan.0 (sqrt 2.0))) (pow im 2) (* (* +nan.0 (sqrt 2.0)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (* 1/32 (sqrt (sqrt 2.0))) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2)) (- (* (sqrt (sqrt 2.0)) (pow im 1/4)) (* 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re))))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im))))))) (* (exp (* 1/4 (- (log 2) (log (/ -1 re))))) (sqrt (sqrt 2.0))) 1.858 * * * [progress]: adding candidates to table 2.212 * * [progress]: iteration 4 / 4 2.212 * * * [progress]: picking best candidate 2.230 * * * * [pick]: Picked # 2.231 * * * [progress]: localizing error 2.242 * * * [progress]: generating rewritten candidates 2.242 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 2.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 2.256 * * * [progress]: generating series expansions 2.256 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 2.256 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.256 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.256 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.256 * [taylor]: Taking taylor expansion of (* re re) in im 2.256 * [taylor]: Taking taylor expansion of re in im 2.256 * [taylor]: Taking taylor expansion of re in im 2.256 * [taylor]: Taking taylor expansion of (* im im) in im 2.256 * [taylor]: Taking taylor expansion of im in im 2.256 * [taylor]: Taking taylor expansion of im in im 2.258 * [taylor]: Taking taylor expansion of re in im 2.258 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.258 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.258 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.258 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.258 * [taylor]: Taking taylor expansion of (* re re) in re 2.258 * [taylor]: Taking taylor expansion of re in re 2.258 * [taylor]: Taking taylor expansion of re in re 2.258 * [taylor]: Taking taylor expansion of (* im im) in re 2.258 * [taylor]: Taking taylor expansion of im in re 2.258 * [taylor]: Taking taylor expansion of im in re 2.259 * [taylor]: Taking taylor expansion of re in re 2.259 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.259 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.259 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.259 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.259 * [taylor]: Taking taylor expansion of (* re re) in re 2.259 * [taylor]: Taking taylor expansion of re in re 2.259 * [taylor]: Taking taylor expansion of re in re 2.259 * [taylor]: Taking taylor expansion of (* im im) in re 2.259 * [taylor]: Taking taylor expansion of im in re 2.259 * [taylor]: Taking taylor expansion of im in re 2.260 * [taylor]: Taking taylor expansion of re in re 2.261 * [taylor]: Taking taylor expansion of im in im 2.261 * [taylor]: Taking taylor expansion of -1 in im 2.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.263 * [taylor]: Taking taylor expansion of 1/2 in im 2.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.263 * [taylor]: Taking taylor expansion of im in im 2.266 * [taylor]: Taking taylor expansion of 0 in im 2.268 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.268 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.268 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.268 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.268 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.268 * [taylor]: Taking taylor expansion of re in im 2.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.268 * [taylor]: Taking taylor expansion of re in im 2.268 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.268 * [taylor]: Taking taylor expansion of im in im 2.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.268 * [taylor]: Taking taylor expansion of im in im 2.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.271 * [taylor]: Taking taylor expansion of re in im 2.271 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.271 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.271 * [taylor]: Taking taylor expansion of re in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.272 * [taylor]: Taking taylor expansion of re in re 2.272 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.272 * [taylor]: Taking taylor expansion of im in re 2.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.272 * [taylor]: Taking taylor expansion of im in re 2.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.274 * [taylor]: Taking taylor expansion of re in re 2.275 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.275 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.275 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.275 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.275 * [taylor]: Taking taylor expansion of re in re 2.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.275 * [taylor]: Taking taylor expansion of re in re 2.275 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.275 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.275 * [taylor]: Taking taylor expansion of im in re 2.276 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.276 * [taylor]: Taking taylor expansion of im in re 2.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.278 * [taylor]: Taking taylor expansion of re in re 2.279 * [taylor]: Taking taylor expansion of 0 in im 2.280 * [taylor]: Taking taylor expansion of 0 in im 2.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.283 * [taylor]: Taking taylor expansion of 1/2 in im 2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.283 * [taylor]: Taking taylor expansion of im in im 2.291 * [taylor]: Taking taylor expansion of 0 in im 2.292 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.292 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.292 * [taylor]: Taking taylor expansion of re in im 2.293 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.293 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.293 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.293 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.293 * [taylor]: Taking taylor expansion of -1 in im 2.293 * [taylor]: Taking taylor expansion of re in im 2.293 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.293 * [taylor]: Taking taylor expansion of -1 in im 2.293 * [taylor]: Taking taylor expansion of re in im 2.293 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.293 * [taylor]: Taking taylor expansion of -1 in im 2.293 * [taylor]: Taking taylor expansion of im in im 2.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.293 * [taylor]: Taking taylor expansion of -1 in im 2.293 * [taylor]: Taking taylor expansion of im in im 2.296 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.296 * [taylor]: Taking taylor expansion of re in re 2.296 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.296 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.296 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.297 * [taylor]: Taking taylor expansion of -1 in re 2.297 * [taylor]: Taking taylor expansion of re in re 2.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.297 * [taylor]: Taking taylor expansion of -1 in re 2.297 * [taylor]: Taking taylor expansion of re in re 2.297 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.297 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.297 * [taylor]: Taking taylor expansion of -1 in re 2.297 * [taylor]: Taking taylor expansion of im in re 2.297 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.297 * [taylor]: Taking taylor expansion of -1 in re 2.297 * [taylor]: Taking taylor expansion of im in re 2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.300 * [taylor]: Taking taylor expansion of re in re 2.300 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.300 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.300 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.300 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.300 * [taylor]: Taking taylor expansion of -1 in re 2.300 * [taylor]: Taking taylor expansion of re in re 2.301 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.301 * [taylor]: Taking taylor expansion of -1 in re 2.301 * [taylor]: Taking taylor expansion of re in re 2.301 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.301 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.301 * [taylor]: Taking taylor expansion of -1 in re 2.301 * [taylor]: Taking taylor expansion of im in re 2.301 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.301 * [taylor]: Taking taylor expansion of -1 in re 2.301 * [taylor]: Taking taylor expansion of im in re 2.304 * [taylor]: Taking taylor expansion of 2 in im 2.305 * [taylor]: Taking taylor expansion of 0 in im 2.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.308 * [taylor]: Taking taylor expansion of 1/2 in im 2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.308 * [taylor]: Taking taylor expansion of im in im 2.313 * [taylor]: Taking taylor expansion of 0 in im 2.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1) 2.314 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.314 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.314 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.315 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.315 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.315 * [taylor]: Taking taylor expansion of (* re re) in im 2.315 * [taylor]: Taking taylor expansion of re in im 2.315 * [taylor]: Taking taylor expansion of re in im 2.315 * [taylor]: Taking taylor expansion of (* im im) in im 2.315 * [taylor]: Taking taylor expansion of im in im 2.315 * [taylor]: Taking taylor expansion of im in im 2.316 * [taylor]: Taking taylor expansion of re in im 2.316 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.316 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.316 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.316 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.316 * [taylor]: Taking taylor expansion of (* re re) in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (* im im) in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.317 * [taylor]: Taking taylor expansion of re in re 2.317 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.317 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.317 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.317 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.317 * [taylor]: Taking taylor expansion of (* re re) in re 2.317 * [taylor]: Taking taylor expansion of re in re 2.317 * [taylor]: Taking taylor expansion of re in re 2.317 * [taylor]: Taking taylor expansion of (* im im) in re 2.317 * [taylor]: Taking taylor expansion of im in re 2.317 * [taylor]: Taking taylor expansion of im in re 2.319 * [taylor]: Taking taylor expansion of re in re 2.319 * [taylor]: Taking taylor expansion of im in im 2.319 * [taylor]: Taking taylor expansion of -1 in im 2.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.321 * [taylor]: Taking taylor expansion of 1/2 in im 2.321 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.321 * [taylor]: Taking taylor expansion of im in im 2.324 * [taylor]: Taking taylor expansion of 0 in im 2.325 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.325 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.325 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.325 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.325 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.325 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.325 * [taylor]: Taking taylor expansion of re in im 2.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.325 * [taylor]: Taking taylor expansion of re in im 2.325 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.326 * [taylor]: Taking taylor expansion of im in im 2.326 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.326 * [taylor]: Taking taylor expansion of im in im 2.328 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.329 * [taylor]: Taking taylor expansion of re in im 2.329 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.329 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.329 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.329 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.329 * [taylor]: Taking taylor expansion of re in re 2.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.329 * [taylor]: Taking taylor expansion of re in re 2.329 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.329 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.329 * [taylor]: Taking taylor expansion of im in re 2.329 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.329 * [taylor]: Taking taylor expansion of im in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.332 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.332 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.332 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.332 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.333 * [taylor]: Taking taylor expansion of re in re 2.333 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.333 * [taylor]: Taking taylor expansion of im in re 2.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.333 * [taylor]: Taking taylor expansion of im in re 2.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.336 * [taylor]: Taking taylor expansion of re in re 2.336 * [taylor]: Taking taylor expansion of 0 in im 2.337 * [taylor]: Taking taylor expansion of 0 in im 2.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.340 * [taylor]: Taking taylor expansion of 1/2 in im 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.341 * [taylor]: Taking taylor expansion of im in im 2.346 * [taylor]: Taking taylor expansion of 0 in im 2.347 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.347 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.347 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.347 * [taylor]: Taking taylor expansion of re in im 2.347 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.347 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.348 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.348 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.348 * [taylor]: Taking taylor expansion of -1 in im 2.348 * [taylor]: Taking taylor expansion of re in im 2.348 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.348 * [taylor]: Taking taylor expansion of -1 in im 2.348 * [taylor]: Taking taylor expansion of re in im 2.348 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.348 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.348 * [taylor]: Taking taylor expansion of -1 in im 2.348 * [taylor]: Taking taylor expansion of im in im 2.348 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.348 * [taylor]: Taking taylor expansion of -1 in im 2.348 * [taylor]: Taking taylor expansion of im in im 2.351 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.351 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.351 * [taylor]: Taking taylor expansion of re in re 2.351 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.351 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.351 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.351 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.351 * [taylor]: Taking taylor expansion of -1 in re 2.351 * [taylor]: Taking taylor expansion of re in re 2.352 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.352 * [taylor]: Taking taylor expansion of -1 in re 2.352 * [taylor]: Taking taylor expansion of re in re 2.352 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.352 * [taylor]: Taking taylor expansion of -1 in re 2.352 * [taylor]: Taking taylor expansion of im in re 2.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.352 * [taylor]: Taking taylor expansion of -1 in re 2.352 * [taylor]: Taking taylor expansion of im in re 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.355 * [taylor]: Taking taylor expansion of re in re 2.355 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.355 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.355 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.355 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.355 * [taylor]: Taking taylor expansion of -1 in re 2.355 * [taylor]: Taking taylor expansion of re in re 2.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.356 * [taylor]: Taking taylor expansion of -1 in re 2.356 * [taylor]: Taking taylor expansion of re in re 2.356 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.356 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.356 * [taylor]: Taking taylor expansion of -1 in re 2.356 * [taylor]: Taking taylor expansion of im in re 2.356 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.356 * [taylor]: Taking taylor expansion of -1 in re 2.356 * [taylor]: Taking taylor expansion of im in re 2.359 * [taylor]: Taking taylor expansion of 2 in im 2.360 * [taylor]: Taking taylor expansion of 0 in im 2.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.363 * [taylor]: Taking taylor expansion of 1/2 in im 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.363 * [taylor]: Taking taylor expansion of im in im 2.368 * [taylor]: Taking taylor expansion of 0 in im 2.369 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 2.369 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.369 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.369 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.370 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.370 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.370 * [taylor]: Taking taylor expansion of (* re re) in im 2.370 * [taylor]: Taking taylor expansion of re in im 2.370 * [taylor]: Taking taylor expansion of re in im 2.370 * [taylor]: Taking taylor expansion of (* im im) in im 2.370 * [taylor]: Taking taylor expansion of im in im 2.370 * [taylor]: Taking taylor expansion of im in im 2.373 * [taylor]: Taking taylor expansion of re in im 2.373 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.373 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.373 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.373 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.373 * [taylor]: Taking taylor expansion of (* re re) in re 2.373 * [taylor]: Taking taylor expansion of re in re 2.373 * [taylor]: Taking taylor expansion of re in re 2.373 * [taylor]: Taking taylor expansion of (* im im) in re 2.373 * [taylor]: Taking taylor expansion of im in re 2.373 * [taylor]: Taking taylor expansion of im in re 2.374 * [taylor]: Taking taylor expansion of re in re 2.374 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.374 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.375 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.375 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.375 * [taylor]: Taking taylor expansion of (* re re) in re 2.375 * [taylor]: Taking taylor expansion of re in re 2.375 * [taylor]: Taking taylor expansion of re in re 2.375 * [taylor]: Taking taylor expansion of (* im im) in re 2.375 * [taylor]: Taking taylor expansion of im in re 2.375 * [taylor]: Taking taylor expansion of im in re 2.376 * [taylor]: Taking taylor expansion of re in re 2.376 * [taylor]: Taking taylor expansion of im in im 2.377 * [taylor]: Taking taylor expansion of -1 in im 2.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.378 * [taylor]: Taking taylor expansion of 1/2 in im 2.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.379 * [taylor]: Taking taylor expansion of im in im 2.382 * [taylor]: Taking taylor expansion of 0 in im 2.383 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.383 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.383 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.383 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.383 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.383 * [taylor]: Taking taylor expansion of re in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.383 * [taylor]: Taking taylor expansion of re in im 2.383 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.383 * [taylor]: Taking taylor expansion of im in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.383 * [taylor]: Taking taylor expansion of im in im 2.386 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.386 * [taylor]: Taking taylor expansion of re in im 2.386 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.386 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.386 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.386 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.386 * [taylor]: Taking taylor expansion of re in re 2.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.387 * [taylor]: Taking taylor expansion of re in re 2.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.387 * [taylor]: Taking taylor expansion of im in re 2.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.387 * [taylor]: Taking taylor expansion of im in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.390 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.390 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.390 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.391 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.391 * [taylor]: Taking taylor expansion of im in re 2.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.391 * [taylor]: Taking taylor expansion of im in re 2.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.393 * [taylor]: Taking taylor expansion of re in re 2.394 * [taylor]: Taking taylor expansion of 0 in im 2.395 * [taylor]: Taking taylor expansion of 0 in im 2.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.398 * [taylor]: Taking taylor expansion of 1/2 in im 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.398 * [taylor]: Taking taylor expansion of im in im 2.403 * [taylor]: Taking taylor expansion of 0 in im 2.405 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.405 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.405 * [taylor]: Taking taylor expansion of re in im 2.405 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.405 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.405 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.405 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.405 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.405 * [taylor]: Taking taylor expansion of -1 in im 2.405 * [taylor]: Taking taylor expansion of re in im 2.405 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.405 * [taylor]: Taking taylor expansion of -1 in im 2.405 * [taylor]: Taking taylor expansion of re in im 2.405 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.405 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.405 * [taylor]: Taking taylor expansion of -1 in im 2.405 * [taylor]: Taking taylor expansion of im in im 2.406 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.406 * [taylor]: Taking taylor expansion of -1 in im 2.406 * [taylor]: Taking taylor expansion of im in im 2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.409 * [taylor]: Taking taylor expansion of re in re 2.409 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.409 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.409 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.409 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.409 * [taylor]: Taking taylor expansion of -1 in re 2.409 * [taylor]: Taking taylor expansion of re in re 2.410 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.410 * [taylor]: Taking taylor expansion of -1 in re 2.410 * [taylor]: Taking taylor expansion of re in re 2.410 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.410 * [taylor]: Taking taylor expansion of -1 in re 2.410 * [taylor]: Taking taylor expansion of im in re 2.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.410 * [taylor]: Taking taylor expansion of -1 in re 2.410 * [taylor]: Taking taylor expansion of im in re 2.413 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.413 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.413 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.413 * [taylor]: Taking taylor expansion of -1 in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.413 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of re in re 2.414 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of im in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of im in re 2.417 * [taylor]: Taking taylor expansion of 2 in im 2.418 * [taylor]: Taking taylor expansion of 0 in im 2.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.421 * [taylor]: Taking taylor expansion of 1/2 in im 2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.421 * [taylor]: Taking taylor expansion of im in im 2.426 * [taylor]: Taking taylor expansion of 0 in im 2.428 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 2.428 * [approximate]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in (re im) around 0 2.428 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in im 2.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in im 2.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in im 2.428 * [taylor]: Taking taylor expansion of 1/3 in im 2.428 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 2.428 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.428 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.428 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.428 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.428 * [taylor]: Taking taylor expansion of (* re re) in im 2.428 * [taylor]: Taking taylor expansion of re in im 2.428 * [taylor]: Taking taylor expansion of re in im 2.428 * [taylor]: Taking taylor expansion of (* im im) in im 2.428 * [taylor]: Taking taylor expansion of im in im 2.428 * [taylor]: Taking taylor expansion of im in im 2.429 * [taylor]: Taking taylor expansion of re in im 2.432 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in re 2.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in re 2.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in re 2.432 * [taylor]: Taking taylor expansion of 1/3 in re 2.432 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 2.432 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.432 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.432 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.432 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.432 * [taylor]: Taking taylor expansion of (* re re) in re 2.432 * [taylor]: Taking taylor expansion of re in re 2.432 * [taylor]: Taking taylor expansion of re in re 2.432 * [taylor]: Taking taylor expansion of (* im im) in re 2.432 * [taylor]: Taking taylor expansion of im in re 2.432 * [taylor]: Taking taylor expansion of im in re 2.434 * [taylor]: Taking taylor expansion of re in re 2.434 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in re 2.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in re 2.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in re 2.434 * [taylor]: Taking taylor expansion of 1/3 in re 2.434 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 2.434 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.434 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.434 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.434 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.434 * [taylor]: Taking taylor expansion of (* re re) in re 2.434 * [taylor]: Taking taylor expansion of re in re 2.434 * [taylor]: Taking taylor expansion of re in re 2.434 * [taylor]: Taking taylor expansion of (* im im) in re 2.434 * [taylor]: Taking taylor expansion of im in re 2.434 * [taylor]: Taking taylor expansion of im in re 2.436 * [taylor]: Taking taylor expansion of re in re 2.436 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.436 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.436 * [taylor]: Taking taylor expansion of 1/3 in im 2.436 * [taylor]: Taking taylor expansion of (log im) in im 2.436 * [taylor]: Taking taylor expansion of im in im 2.438 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 2.438 * [taylor]: Taking taylor expansion of -1/3 in im 2.438 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 2.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 2.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 2.438 * [taylor]: Taking taylor expansion of 1/3 in im 2.438 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.438 * [taylor]: Taking taylor expansion of im in im 2.445 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 2.445 * [taylor]: Taking taylor expansion of 1/18 in im 2.445 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.445 * [taylor]: Taking taylor expansion of 1/3 in im 2.445 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.445 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.445 * [taylor]: Taking taylor expansion of im in im 2.447 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in (re im) around 0 2.447 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in im 2.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.447 * [taylor]: Taking taylor expansion of 1/3 in im 2.447 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.447 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.447 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.448 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.448 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.448 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.448 * [taylor]: Taking taylor expansion of re in im 2.448 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.448 * [taylor]: Taking taylor expansion of re in im 2.448 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.448 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.448 * [taylor]: Taking taylor expansion of im in im 2.448 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.448 * [taylor]: Taking taylor expansion of im in im 2.451 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.451 * [taylor]: Taking taylor expansion of re in im 2.452 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.452 * [taylor]: Taking taylor expansion of 1/3 in re 2.452 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.452 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.452 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.452 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.452 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.452 * [taylor]: Taking taylor expansion of re in re 2.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.452 * [taylor]: Taking taylor expansion of re in re 2.452 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.452 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.453 * [taylor]: Taking taylor expansion of im in re 2.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.453 * [taylor]: Taking taylor expansion of im in re 2.455 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.455 * [taylor]: Taking taylor expansion of re in re 2.463 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.463 * [taylor]: Taking taylor expansion of 1/3 in re 2.463 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.463 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.463 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.463 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.463 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.463 * [taylor]: Taking taylor expansion of re in re 2.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.464 * [taylor]: Taking taylor expansion of re in re 2.464 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.464 * [taylor]: Taking taylor expansion of im in re 2.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.464 * [taylor]: Taking taylor expansion of im in re 2.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.467 * [taylor]: Taking taylor expansion of re in re 2.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.472 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.472 * [taylor]: Taking taylor expansion of 1/3 in im 2.472 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.472 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.472 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.472 * [taylor]: Taking taylor expansion of 1/2 in im 2.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.473 * [taylor]: Taking taylor expansion of im in im 2.473 * [taylor]: Taking taylor expansion of (log re) in im 2.473 * [taylor]: Taking taylor expansion of re in im 2.480 * [taylor]: Taking taylor expansion of 0 in im 2.491 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.491 * [taylor]: Taking taylor expansion of -1/12 in im 2.491 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.491 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.491 * [taylor]: Taking taylor expansion of 1/3 in im 2.491 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.491 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.491 * [taylor]: Taking taylor expansion of 1/2 in im 2.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.491 * [taylor]: Taking taylor expansion of im in im 2.492 * [taylor]: Taking taylor expansion of (log re) in im 2.492 * [taylor]: Taking taylor expansion of re in im 2.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.493 * [taylor]: Taking taylor expansion of im in im 2.522 * [taylor]: Taking taylor expansion of 0 in im 2.522 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in (re im) around 0 2.522 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in im 2.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 2.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.522 * [taylor]: Taking taylor expansion of 1/3 in im 2.522 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.523 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.523 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.523 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.523 * [taylor]: Taking taylor expansion of -1 in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.523 * [taylor]: Taking taylor expansion of -1 in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.523 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.523 * [taylor]: Taking taylor expansion of -1 in im 2.523 * [taylor]: Taking taylor expansion of im in im 2.523 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.523 * [taylor]: Taking taylor expansion of -1 in im 2.523 * [taylor]: Taking taylor expansion of im in im 2.527 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in re 2.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.527 * [taylor]: Taking taylor expansion of 1/3 in re 2.527 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.527 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.527 * [taylor]: Taking taylor expansion of re in re 2.527 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.528 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.528 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.528 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.528 * [taylor]: Taking taylor expansion of -1 in re 2.528 * [taylor]: Taking taylor expansion of re in re 2.528 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.528 * [taylor]: Taking taylor expansion of -1 in re 2.528 * [taylor]: Taking taylor expansion of re in re 2.528 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.528 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.528 * [taylor]: Taking taylor expansion of -1 in re 2.528 * [taylor]: Taking taylor expansion of im in re 2.528 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.528 * [taylor]: Taking taylor expansion of -1 in re 2.528 * [taylor]: Taking taylor expansion of im in re 2.533 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in re 2.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.533 * [taylor]: Taking taylor expansion of 1/3 in re 2.533 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.533 * [taylor]: Taking taylor expansion of re in re 2.533 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.533 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.533 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.533 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.533 * [taylor]: Taking taylor expansion of -1 in re 2.533 * [taylor]: Taking taylor expansion of re in re 2.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.534 * [taylor]: Taking taylor expansion of -1 in re 2.534 * [taylor]: Taking taylor expansion of re in re 2.534 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.534 * [taylor]: Taking taylor expansion of -1 in re 2.534 * [taylor]: Taking taylor expansion of im in re 2.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.534 * [taylor]: Taking taylor expansion of -1 in re 2.534 * [taylor]: Taking taylor expansion of im in re 2.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.538 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.538 * [taylor]: Taking taylor expansion of 1/3 in im 2.539 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.539 * [taylor]: Taking taylor expansion of (log 2) in im 2.539 * [taylor]: Taking taylor expansion of 2 in im 2.539 * [taylor]: Taking taylor expansion of (log re) in im 2.539 * [taylor]: Taking taylor expansion of re in im 2.543 * [taylor]: Taking taylor expansion of 0 in im 2.555 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 2.555 * [taylor]: Taking taylor expansion of 1/12 in im 2.555 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 2.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.555 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.555 * [taylor]: Taking taylor expansion of 1/3 in im 2.555 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.555 * [taylor]: Taking taylor expansion of (log 2) in im 2.555 * [taylor]: Taking taylor expansion of 2 in im 2.556 * [taylor]: Taking taylor expansion of (log re) in im 2.556 * [taylor]: Taking taylor expansion of re in im 2.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.557 * [taylor]: Taking taylor expansion of im in im 2.581 * [taylor]: Taking taylor expansion of 0 in im 2.582 * * * [progress]: simplifying candidates 2.583 * [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) (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) (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) (- 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im) re))) (cbrt 1) (cbrt (- (hypot re im) re)) (cbrt (+ (sqrt (hypot re im)) (sqrt re))) (cbrt (- (sqrt (hypot re im)) (sqrt re))) (cbrt 1) (cbrt (- (hypot re im) re)) (cbrt (- (pow (hypot re im) 3) (pow re 3))) (cbrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (cbrt (- (* (hypot re im) (hypot re im)) (* re re))) (cbrt (+ (hypot re im) re)) (* (cbrt (cbrt (- (hypot re im) re))) (cbrt (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) (exp (* 1/3 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im)))))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) 2.588 * * [simplify]: iteration 0 : 226 enodes (cost 736 ) 2.592 * * [simplify]: iteration 1 : 690 enodes (cost 507 ) 2.607 * * [simplify]: iteration 2 : 3777 enodes (cost 474 ) 2.687 * * [simplify]: iteration 3 : 5001 enodes (cost 444 ) 2.690 * [simplify]: Simplified to: (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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) re) (pow re 2)) (- 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) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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) re) (pow re 2)) (- 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) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (fma (/ (- re) 2) 2 (pow (cbrt (hypot re im)) 3)) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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) re) (pow re 2)) (- 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 (cbrt (- (hypot re im) re))) (log1p (cbrt (- (hypot re im) re))) (log (cbrt (- (hypot re im) re))) (exp (cbrt (- (hypot re im) re))) (cbrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) 1 (cbrt (- (hypot re im) re)) (cbrt (+ (sqrt (hypot re im)) (sqrt re))) (cbrt (- (sqrt (hypot re im)) (sqrt re))) 1 (cbrt (- (hypot re im) re)) (cbrt (- (pow (hypot re im) 3) (pow re 3))) (cbrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (cbrt (- (* (hypot re im) (hypot re im)) (* re re))) (cbrt (+ (hypot re im) re)) (* (cbrt (cbrt (- (hypot re im) re))) (cbrt (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (- (hypot re im) re) (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (- (pow im 1/3) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))))) (pow (exp 1/3) (fma (- (log (/ 1 im))) 2 (- (log 1/2) (log re)))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) 2.691 * * * [progress]: adding candidates to table 2.979 * [progress]: [Phase 3 of 3] Extracting. 2.980 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.982 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.983 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 3.017 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 3.057 * * * [regime]: Found split indices: #