3.016 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.039 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.040 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.041 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.043 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.044 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.046 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.046 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.062 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.073 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.093 * [taylor]: Taking taylor expansion of 1/2 in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.097 * [taylor]: Taking taylor expansion of re in im 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.102 * [taylor]: Taking taylor expansion of im in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of 1/2 in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.112 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of 1 in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.126 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of -1 in im 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.131 * [taylor]: Taking taylor expansion of 1/2 in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.138 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.148 * [taylor]: Taking taylor expansion of 1/2 in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.155 * [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) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of 2 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 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.176 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.176 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.176 * [taylor]: Taking taylor expansion of 2.0 in im 0.177 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.177 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.177 * [taylor]: Taking taylor expansion of re in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.182 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.182 * [taylor]: Taking taylor expansion of 2.0 in re 0.182 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.183 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.183 * [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 re in re 0.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.184 * [taylor]: Taking taylor expansion of 2.0 in re 0.185 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.187 * [taylor]: Taking taylor expansion of 2.0 in im 0.187 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.191 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.191 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.191 * [taylor]: Taking taylor expansion of 1/2 in im 0.191 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.191 * [taylor]: Taking taylor expansion of 2.0 in im 0.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.213 * [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 0.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.213 * [taylor]: Taking taylor expansion of 2.0 in im 0.214 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.214 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.215 * [taylor]: Taking taylor expansion of re in im 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.217 * [taylor]: Taking taylor expansion of re in im 0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.218 * [taylor]: Taking taylor expansion of 2.0 in re 0.219 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.219 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.219 * [taylor]: Taking taylor expansion of im in re 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.219 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.222 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.227 * [taylor]: Taking taylor expansion of 2.0 in re 0.227 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.227 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.228 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.230 * [taylor]: Taking taylor expansion of re in re 0.235 * [taylor]: Taking taylor expansion of 0 in im 0.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.236 * [taylor]: Taking taylor expansion of +nan.0 in im 0.236 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.244 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.244 * [taylor]: Taking taylor expansion of +nan.0 in im 0.244 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.244 * [taylor]: Taking taylor expansion of 2.0 in im 0.245 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.265 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.265 * [taylor]: Taking taylor expansion of +nan.0 in im 0.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.265 * [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 0.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.267 * [taylor]: Taking taylor expansion of +nan.0 in im 0.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.291 * [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 0.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.291 * [taylor]: Taking taylor expansion of 2.0 in im 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.296 * [taylor]: Taking taylor expansion of 2.0 in re 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.301 * [taylor]: Taking taylor expansion of 2.0 in re 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.302 * [taylor]: Taking taylor expansion of im in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.306 * [taylor]: Taking taylor expansion of 0 in im 0.307 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.307 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.307 * [taylor]: Taking taylor expansion of +nan.0 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 0.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.313 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.313 * [taylor]: Taking taylor expansion of +nan.0 in im 0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.313 * [taylor]: Taking taylor expansion of 2.0 in im 0.321 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.321 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.321 * [taylor]: Taking taylor expansion of +nan.0 in im 0.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.321 * [taylor]: Taking taylor expansion of 2.0 in im 0.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.323 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.323 * [taylor]: Taking taylor expansion of +nan.0 in im 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.323 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.337 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.337 * [taylor]: Taking taylor expansion of +nan.0 in im 0.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.338 * [taylor]: Taking taylor expansion of im in im 0.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * * * [progress]: simplifying candidates 0.353 * [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))))))) 0.359 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.365 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.393 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.397 * [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)))) 0.398 * * * [progress]: adding candidates to table 0.563 * * [progress]: iteration 2 / 4 0.563 * * * [progress]: picking best candidate 0.580 * * * * [pick]: Picked # 0.580 * * * [progress]: localizing error 0.587 * * * [progress]: generating rewritten candidates 0.587 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.592 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.600 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1) 0.602 * * * [progress]: generating series expansions 0.602 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.602 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.602 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.602 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.602 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.602 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.602 * [taylor]: Taking taylor expansion of (* re re) in im 0.602 * [taylor]: Taking taylor expansion of re in im 0.602 * [taylor]: Taking taylor expansion of re in im 0.602 * [taylor]: Taking taylor expansion of (* im im) in im 0.602 * [taylor]: Taking taylor expansion of im in im 0.602 * [taylor]: Taking taylor expansion of im in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.604 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.604 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.604 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.604 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.604 * [taylor]: Taking taylor expansion of (* re re) in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [taylor]: Taking taylor expansion of (* im im) in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.605 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.605 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.605 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.605 * [taylor]: Taking taylor expansion of (* re re) in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [taylor]: Taking taylor expansion of (* im im) in re 0.605 * [taylor]: Taking taylor expansion of im in re 0.605 * [taylor]: Taking taylor expansion of im in re 0.607 * [taylor]: Taking taylor expansion of re in re 0.607 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of -1 in im 0.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.609 * [taylor]: Taking taylor expansion of 1/2 in im 0.609 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.612 * [taylor]: Taking taylor expansion of 0 in im 0.613 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.613 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.613 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.613 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.613 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.614 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.614 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.614 * [taylor]: Taking taylor expansion of re in im 0.614 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.614 * [taylor]: Taking taylor expansion of re in im 0.614 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.614 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.614 * [taylor]: Taking taylor expansion of im in im 0.614 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.614 * [taylor]: Taking taylor expansion of im in im 0.617 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.617 * [taylor]: Taking taylor expansion of re in im 0.617 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.617 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.617 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.617 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.617 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.617 * [taylor]: Taking taylor expansion of re in re 0.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.617 * [taylor]: Taking taylor expansion of re in re 0.618 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.618 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.618 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.621 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.621 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.621 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.621 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of 0 in im 0.626 * [taylor]: Taking taylor expansion of 0 in im 0.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.630 * [taylor]: Taking taylor expansion of 1/2 in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.630 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.635 * [taylor]: Taking taylor expansion of 0 in im 0.636 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.637 * [taylor]: Taking taylor expansion of re in im 0.637 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.637 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.637 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.637 * [taylor]: Taking taylor expansion of -1 in im 0.637 * [taylor]: Taking taylor expansion of re in im 0.637 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.637 * [taylor]: Taking taylor expansion of -1 in im 0.637 * [taylor]: Taking taylor expansion of re in im 0.637 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.637 * [taylor]: Taking taylor expansion of -1 in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.637 * [taylor]: Taking taylor expansion of -1 in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.641 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.641 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.641 * [taylor]: Taking taylor expansion of -1 in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.641 * [taylor]: Taking taylor expansion of -1 in re 0.641 * [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 -1 in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.641 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.642 * [taylor]: Taking taylor expansion of -1 in re 0.642 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.645 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.645 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.645 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of im in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of 2 in im 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.655 * [taylor]: Taking taylor expansion of 1/2 in im 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.655 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.655 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of 0 in im 0.662 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.662 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.662 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.662 * [taylor]: Taking taylor expansion of 2.0 in im 0.663 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.663 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.663 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.663 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.663 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.663 * [taylor]: Taking taylor expansion of (* re re) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (* im im) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.668 * [taylor]: Taking taylor expansion of 2.0 in re 0.669 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.669 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.669 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.669 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.669 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.669 * [taylor]: Taking taylor expansion of (* re re) in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (* im im) in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.671 * [taylor]: Taking taylor expansion of 2.0 in re 0.672 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.672 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.672 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.672 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.672 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.672 * [taylor]: Taking taylor expansion of (* re re) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (* im im) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.675 * [taylor]: Taking taylor expansion of 2.0 in im 0.676 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.676 * [taylor]: Taking taylor expansion of im in im 0.679 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.679 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.679 * [taylor]: Taking taylor expansion of 1/2 in im 0.679 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.679 * [taylor]: Taking taylor expansion of 2.0 in im 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.700 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.700 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.700 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.700 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.700 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.701 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.701 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.704 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.705 * [taylor]: Taking taylor expansion of 2.0 in im 0.706 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.706 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.706 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.706 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.707 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.707 * [taylor]: Taking taylor expansion of im in re 0.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.707 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.715 * [taylor]: Taking taylor expansion of 2.0 in re 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.716 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.716 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.725 * [taylor]: Taking taylor expansion of 2.0 in re 0.726 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.727 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.727 * [taylor]: Taking taylor expansion of +nan.0 in im 0.727 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.727 * [taylor]: Taking taylor expansion of 2.0 in im 0.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.736 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.736 * [taylor]: Taking taylor expansion of +nan.0 in im 0.736 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.736 * [taylor]: Taking taylor expansion of 2.0 in im 0.737 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.756 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.756 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.756 * [taylor]: Taking taylor expansion of +nan.0 in im 0.756 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.756 * [taylor]: Taking taylor expansion of 2.0 in im 0.757 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.758 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.758 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.758 * [taylor]: Taking taylor expansion of +nan.0 in im 0.758 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.758 * [taylor]: Taking taylor expansion of 2.0 in im 0.759 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.782 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.784 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.784 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.784 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.788 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.788 * [taylor]: Taking taylor expansion of 2.0 in re 0.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.794 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.794 * [taylor]: Taking taylor expansion of 2.0 in re 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.795 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.795 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.795 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.795 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.796 * [taylor]: Taking taylor expansion of -1 in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.796 * [taylor]: Taking taylor expansion of -1 in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.796 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.796 * [taylor]: Taking taylor expansion of -1 in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.796 * [taylor]: Taking taylor expansion of -1 in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.801 * [taylor]: Taking taylor expansion of 0 in im 0.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.802 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.802 * [taylor]: Taking taylor expansion of +nan.0 in im 0.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.802 * [taylor]: Taking taylor expansion of 2.0 in im 0.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.808 * [taylor]: Taking taylor expansion of +nan.0 in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.817 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.817 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.817 * [taylor]: Taking taylor expansion of +nan.0 in im 0.817 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.817 * [taylor]: Taking taylor expansion of 2.0 in im 0.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.819 * [taylor]: Taking taylor expansion of +nan.0 in im 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.819 * [taylor]: Taking taylor expansion of 2.0 in im 0.833 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.833 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.833 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.833 * [taylor]: Taking taylor expansion of +nan.0 in im 0.834 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 0.834 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.834 * [taylor]: Taking taylor expansion of im in im 0.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.835 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.835 * [taylor]: Taking taylor expansion of +nan.0 in im 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.835 * [taylor]: Taking taylor expansion of 2.0 in im 0.848 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1) 0.848 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.848 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.848 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.848 * [taylor]: Taking taylor expansion of (* re re) in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [taylor]: Taking taylor expansion of (* im im) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.850 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.850 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.850 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.850 * [taylor]: Taking taylor expansion of (* re re) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [taylor]: Taking taylor expansion of (* im im) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.851 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.851 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.851 * [taylor]: Taking taylor expansion of (* re re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (* im im) in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.853 * [taylor]: Taking taylor expansion of im in im 0.853 * [taylor]: Taking taylor expansion of 0 in im 0.854 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.854 * [taylor]: Taking taylor expansion of 1/2 in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.856 * [taylor]: Taking taylor expansion of 0 in im 0.857 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.857 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.857 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.857 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.857 * [taylor]: Taking taylor expansion of re in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.857 * [taylor]: Taking taylor expansion of re in im 0.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.858 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.858 * [taylor]: Taking taylor expansion of im in im 0.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.864 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.864 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.864 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.865 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of 1 in im 0.867 * [taylor]: Taking taylor expansion of 0 in im 0.870 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.870 * [taylor]: Taking taylor expansion of 1/2 in im 0.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.873 * [taylor]: Taking taylor expansion of 0 in im 0.875 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.875 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 0.875 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.875 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.875 * [taylor]: Taking taylor expansion of -1 in im 0.875 * [taylor]: Taking taylor expansion of re in im 0.875 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.875 * [taylor]: Taking taylor expansion of -1 in im 0.875 * [taylor]: Taking taylor expansion of re in im 0.875 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.875 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.875 * [taylor]: Taking taylor expansion of -1 in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.875 * [taylor]: Taking taylor expansion of -1 in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.878 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.879 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.879 * [taylor]: Taking taylor expansion of -1 in re 0.879 * [taylor]: Taking taylor expansion of re in re 0.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.879 * [taylor]: Taking taylor expansion of -1 in re 0.879 * [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 -1 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 -1 in re 0.879 * [taylor]: Taking taylor expansion of im in re 0.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.882 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.882 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.882 * [taylor]: Taking taylor expansion of -1 in re 0.882 * [taylor]: Taking taylor expansion of re in re 0.883 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.883 * [taylor]: Taking taylor expansion of -1 in re 0.883 * [taylor]: Taking taylor expansion of re in re 0.883 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.883 * [taylor]: Taking taylor expansion of -1 in re 0.883 * [taylor]: Taking taylor expansion of im in re 0.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.883 * [taylor]: Taking taylor expansion of -1 in re 0.883 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of 1 in im 0.886 * [taylor]: Taking taylor expansion of 0 in im 0.888 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.888 * [taylor]: Taking taylor expansion of 1/2 in im 0.888 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.892 * [taylor]: Taking taylor expansion of 0 in im 0.893 * * * [progress]: simplifying candidates 0.894 * [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) 0.899 * * [simplify]: iteration 0 : 231 enodes (cost 336 ) 0.903 * * [simplify]: iteration 1 : 764 enodes (cost 242 ) 0.924 * * [simplify]: iteration 2 : 4704 enodes (cost 227 ) 1.027 * * [simplify]: iteration 3 : 5001 enodes (cost 217 ) 1.030 * [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) 1.030 * * * [progress]: adding candidates to table 1.146 * * [progress]: iteration 3 / 4 1.146 * * * [progress]: picking best candidate 1.164 * * * * [pick]: Picked # 1.164 * * * [progress]: localizing error 1.176 * * * [progress]: generating rewritten candidates 1.176 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1) 1.180 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.188 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1 1) 1.191 * * * [progress]: generating series expansions 1.191 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1) 1.191 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.191 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.191 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.192 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.192 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.192 * [taylor]: Taking taylor expansion of (* re re) in im 1.192 * [taylor]: Taking taylor expansion of re in im 1.192 * [taylor]: Taking taylor expansion of re in im 1.192 * [taylor]: Taking taylor expansion of (* im im) in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.193 * [taylor]: Taking taylor expansion of re in im 1.193 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.193 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.193 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.193 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.193 * [taylor]: Taking taylor expansion of (* re re) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (* im im) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.195 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.195 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.195 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.195 * [taylor]: Taking taylor expansion of (* re re) in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (* im im) in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of im in im 1.197 * [taylor]: Taking taylor expansion of -1 in im 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.199 * [taylor]: Taking taylor expansion of 1/2 in im 1.199 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.199 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of 0 in im 1.203 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.203 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.203 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.203 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.203 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.203 * [taylor]: Taking taylor expansion of re in im 1.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.203 * [taylor]: Taking taylor expansion of re in im 1.203 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.203 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.207 * [taylor]: Taking taylor expansion of re in im 1.207 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.207 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.207 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.207 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.211 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.211 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.211 * [taylor]: Taking taylor expansion of re in re 1.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.211 * [taylor]: Taking taylor expansion of re in re 1.211 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.211 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.211 * [taylor]: Taking taylor expansion of im in re 1.211 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.211 * [taylor]: Taking taylor expansion of im in re 1.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.214 * [taylor]: Taking taylor expansion of re in re 1.215 * [taylor]: Taking taylor expansion of 0 in im 1.216 * [taylor]: Taking taylor expansion of 0 in im 1.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.219 * [taylor]: Taking taylor expansion of 1/2 in im 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.219 * [taylor]: Taking taylor expansion of im in im 1.224 * [taylor]: Taking taylor expansion of 0 in im 1.226 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.226 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.226 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.227 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.227 * [taylor]: Taking taylor expansion of -1 in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.230 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.230 * [taylor]: Taking taylor expansion of -1 in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.231 * [taylor]: Taking taylor expansion of -1 in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.231 * [taylor]: Taking taylor expansion of -1 in re 1.231 * [taylor]: Taking taylor expansion of im in re 1.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.231 * [taylor]: Taking taylor expansion of -1 in re 1.231 * [taylor]: Taking taylor expansion of im in re 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.234 * [taylor]: Taking taylor expansion of re in re 1.234 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.234 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.234 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.234 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.234 * [taylor]: Taking taylor expansion of -1 in re 1.234 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.238 * [taylor]: Taking taylor expansion of 2 in im 1.239 * [taylor]: Taking taylor expansion of 0 in im 1.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.242 * [taylor]: Taking taylor expansion of 1/2 in im 1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.242 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of 0 in im 1.249 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.250 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.250 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.250 * [taylor]: Taking taylor expansion of 2.0 in im 1.251 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.251 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.251 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.251 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.251 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.251 * [taylor]: Taking taylor expansion of (* re re) in im 1.251 * [taylor]: Taking taylor expansion of re in im 1.251 * [taylor]: Taking taylor expansion of re in im 1.251 * [taylor]: Taking taylor expansion of (* im im) in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.261 * [taylor]: Taking taylor expansion of 2.0 in re 1.262 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.262 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.262 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.262 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.262 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.262 * [taylor]: Taking taylor expansion of (* re re) in re 1.262 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of (* im im) in re 1.262 * [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 1.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.264 * [taylor]: Taking taylor expansion of 2.0 in re 1.265 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.265 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.265 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.265 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.265 * [taylor]: Taking taylor expansion of (* re re) in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of (* im im) in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.268 * [taylor]: Taking taylor expansion of 2.0 in im 1.268 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.272 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.272 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.272 * [taylor]: Taking taylor expansion of 1/2 in im 1.272 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.272 * [taylor]: Taking taylor expansion of 2.0 in im 1.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.294 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.294 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.294 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.294 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.294 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.295 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.299 * [taylor]: Taking taylor expansion of 2.0 in im 1.300 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.300 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.300 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.300 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.300 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.300 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.309 * [taylor]: Taking taylor expansion of 2.0 in re 1.310 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.310 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.310 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.310 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.310 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.310 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.310 * [taylor]: Taking taylor expansion of re in re 1.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.311 * [taylor]: Taking taylor expansion of re in re 1.311 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.311 * [taylor]: Taking taylor expansion of im in re 1.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.311 * [taylor]: Taking taylor expansion of im in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.314 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.319 * [taylor]: Taking taylor expansion of 2.0 in re 1.320 * [taylor]: Taking taylor expansion of 0 in im 1.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.321 * [taylor]: Taking taylor expansion of +nan.0 in im 1.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.321 * [taylor]: Taking taylor expansion of 2.0 in im 1.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.322 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.330 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.330 * [taylor]: Taking taylor expansion of +nan.0 in im 1.330 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.330 * [taylor]: Taking taylor expansion of 2.0 in im 1.331 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.331 * [taylor]: Taking taylor expansion of im in im 1.353 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.353 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.353 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.353 * [taylor]: Taking taylor expansion of +nan.0 in im 1.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.353 * [taylor]: Taking taylor expansion of 2.0 in im 1.354 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.354 * [taylor]: Taking taylor expansion of im in im 1.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.355 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.355 * [taylor]: Taking taylor expansion of +nan.0 in im 1.355 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.355 * [taylor]: Taking taylor expansion of 2.0 in im 1.356 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.380 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.380 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.380 * [taylor]: Taking taylor expansion of 2.0 in im 1.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.381 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.381 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.381 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.381 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.381 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.381 * [taylor]: Taking taylor expansion of -1 in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.381 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.381 * [taylor]: Taking taylor expansion of -1 in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.381 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.381 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.381 * [taylor]: Taking taylor expansion of -1 in im 1.381 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.382 * [taylor]: Taking taylor expansion of -1 in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.386 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.386 * [taylor]: Taking taylor expansion of 2.0 in re 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.387 * [taylor]: Taking taylor expansion of -1 in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.388 * [taylor]: Taking taylor expansion of -1 in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.388 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.388 * [taylor]: Taking taylor expansion of -1 in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.388 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.388 * [taylor]: Taking taylor expansion of -1 in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.392 * [taylor]: Taking taylor expansion of 2.0 in re 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.393 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.393 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.393 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.398 * [taylor]: Taking taylor expansion of 0 in im 1.400 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.400 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.400 * [taylor]: Taking taylor expansion of +nan.0 in im 1.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.400 * [taylor]: Taking taylor expansion of 2.0 in im 1.405 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.405 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.405 * [taylor]: Taking taylor expansion of +nan.0 in im 1.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.405 * [taylor]: Taking taylor expansion of 2.0 in im 1.414 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.414 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.414 * [taylor]: Taking taylor expansion of +nan.0 in im 1.414 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.414 * [taylor]: Taking taylor expansion of 2.0 in im 1.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.415 * [taylor]: Taking taylor expansion of im in im 1.416 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.416 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.416 * [taylor]: Taking taylor expansion of +nan.0 in im 1.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.416 * [taylor]: Taking taylor expansion of 2.0 in im 1.428 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.429 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.429 * [taylor]: Taking taylor expansion of +nan.0 in im 1.429 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.429 * [taylor]: Taking taylor expansion of 2.0 in im 1.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.429 * [taylor]: Taking taylor expansion of im in im 1.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.430 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.430 * [taylor]: Taking taylor expansion of +nan.0 in im 1.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.431 * [taylor]: Taking taylor expansion of 2.0 in im 1.449 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1 1) 1.450 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.450 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.450 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.450 * [taylor]: Taking taylor expansion of (* re re) in im 1.450 * [taylor]: Taking taylor expansion of re in im 1.450 * [taylor]: Taking taylor expansion of re in im 1.450 * [taylor]: Taking taylor expansion of (* im im) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.451 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.451 * [taylor]: Taking taylor expansion of (* re re) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (* im im) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.453 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.453 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.453 * [taylor]: Taking taylor expansion of (* re re) in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.453 * [taylor]: Taking taylor expansion of (* im im) in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.454 * [taylor]: Taking taylor expansion of im in im 1.454 * [taylor]: Taking taylor expansion of 0 in im 1.455 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.455 * [taylor]: Taking taylor expansion of 1/2 in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.458 * [taylor]: Taking taylor expansion of 0 in im 1.458 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.458 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.458 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.458 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.459 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.459 * [taylor]: Taking taylor expansion of im in im 1.459 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.459 * [taylor]: Taking taylor expansion of im in im 1.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.463 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.463 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.466 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.466 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.466 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.466 * [taylor]: Taking taylor expansion of im in re 1.466 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.466 * [taylor]: Taking taylor expansion of im in re 1.469 * [taylor]: Taking taylor expansion of 1 in im 1.469 * [taylor]: Taking taylor expansion of 0 in im 1.472 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.472 * [taylor]: Taking taylor expansion of 1/2 in im 1.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.472 * [taylor]: Taking taylor expansion of im in im 1.475 * [taylor]: Taking taylor expansion of 0 in im 1.477 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.477 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.477 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.477 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.477 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.477 * [taylor]: Taking taylor expansion of -1 in im 1.477 * [taylor]: Taking taylor expansion of re in im 1.477 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.477 * [taylor]: Taking taylor expansion of -1 in im 1.477 * [taylor]: Taking taylor expansion of re in im 1.477 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.477 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.477 * [taylor]: Taking taylor expansion of -1 in im 1.477 * [taylor]: Taking taylor expansion of im in im 1.477 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.478 * [taylor]: Taking taylor expansion of -1 in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.481 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.481 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.481 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.481 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.481 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.481 * [taylor]: Taking taylor expansion of -1 in re 1.481 * [taylor]: Taking taylor expansion of re in re 1.481 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.481 * [taylor]: Taking taylor expansion of -1 in re 1.481 * [taylor]: Taking taylor expansion of re in re 1.482 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.482 * [taylor]: Taking taylor expansion of -1 in re 1.482 * [taylor]: Taking taylor expansion of im in re 1.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.482 * [taylor]: Taking taylor expansion of -1 in re 1.482 * [taylor]: Taking taylor expansion of im in re 1.484 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.485 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.485 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.485 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.485 * [taylor]: Taking taylor expansion of -1 in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.485 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.485 * [taylor]: Taking taylor expansion of -1 in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.485 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.485 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.485 * [taylor]: Taking taylor expansion of -1 in re 1.485 * [taylor]: Taking taylor expansion of im in re 1.485 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.485 * [taylor]: Taking taylor expansion of -1 in re 1.485 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of 1 in im 1.488 * [taylor]: Taking taylor expansion of 0 in im 1.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.491 * [taylor]: Taking taylor expansion of 1/2 in im 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.495 * [taylor]: Taking taylor expansion of 0 in im 1.496 * * * [progress]: simplifying candidates 1.497 * [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) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (+ (log (sqrt 2.0)) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) im re (* -1 re) 1.502 * * [simplify]: iteration 0 : 287 enodes (cost 494 ) 1.508 * * [simplify]: iteration 1 : 1097 enodes (cost 397 ) 1.534 * * [simplify]: iteration 2 : 5001 enodes (cost 380 ) 1.537 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (* -1 re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 3) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) im re (* -1 re) 1.537 * * * [progress]: adding candidates to table 1.697 * * [progress]: iteration 4 / 4 1.697 * * * [progress]: picking best candidate 1.716 * * * * [pick]: Picked # 1.716 * * * [progress]: localizing error 1.727 * * * [progress]: generating rewritten candidates 1.727 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.731 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.754 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) 1.758 * * * [progress]: generating series expansions 1.758 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.758 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.758 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.758 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.758 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.758 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.758 * [taylor]: Taking taylor expansion of (* re re) in im 1.758 * [taylor]: Taking taylor expansion of re in im 1.758 * [taylor]: Taking taylor expansion of re in im 1.758 * [taylor]: Taking taylor expansion of (* im im) in im 1.758 * [taylor]: Taking taylor expansion of im in im 1.758 * [taylor]: Taking taylor expansion of im in im 1.760 * [taylor]: Taking taylor expansion of re in im 1.760 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.760 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.760 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.760 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.760 * [taylor]: Taking taylor expansion of (* re re) in re 1.760 * [taylor]: Taking taylor expansion of re in re 1.760 * [taylor]: Taking taylor expansion of re in re 1.760 * [taylor]: Taking taylor expansion of (* im im) in re 1.760 * [taylor]: Taking taylor expansion of im in re 1.760 * [taylor]: Taking taylor expansion of im in re 1.761 * [taylor]: Taking taylor expansion of re in re 1.761 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.761 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.761 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.761 * [taylor]: Taking taylor expansion of (* re re) in re 1.761 * [taylor]: Taking taylor expansion of re in re 1.761 * [taylor]: Taking taylor expansion of re in re 1.761 * [taylor]: Taking taylor expansion of (* im im) in re 1.761 * [taylor]: Taking taylor expansion of im in re 1.761 * [taylor]: Taking taylor expansion of im in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of im in im 1.763 * [taylor]: Taking taylor expansion of -1 in im 1.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.769 * [taylor]: Taking taylor expansion of 1/2 in im 1.769 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.769 * [taylor]: Taking taylor expansion of im in im 1.772 * [taylor]: Taking taylor expansion of 0 in im 1.773 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.773 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.773 * [taylor]: Taking taylor expansion of re in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.773 * [taylor]: Taking taylor expansion of re in im 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.773 * [taylor]: Taking taylor expansion of im in im 1.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.774 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.777 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.777 * [taylor]: Taking taylor expansion of re in re 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.777 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.780 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.780 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.781 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.782 * [taylor]: Taking taylor expansion of im in re 1.782 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.782 * [taylor]: Taking taylor expansion of im in re 1.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.784 * [taylor]: Taking taylor expansion of re in re 1.785 * [taylor]: Taking taylor expansion of 0 in im 1.786 * [taylor]: Taking taylor expansion of 0 in im 1.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.789 * [taylor]: Taking taylor expansion of 1/2 in im 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.789 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.789 * [taylor]: Taking taylor expansion of im in im 1.794 * [taylor]: Taking taylor expansion of 0 in im 1.796 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.796 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.796 * [taylor]: Taking taylor expansion of re in im 1.796 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.796 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.796 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.796 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.796 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.796 * [taylor]: Taking taylor expansion of -1 in im 1.796 * [taylor]: Taking taylor expansion of re in im 1.796 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.797 * [taylor]: Taking taylor expansion of -1 in im 1.797 * [taylor]: Taking taylor expansion of re in im 1.797 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.797 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.797 * [taylor]: Taking taylor expansion of -1 in im 1.797 * [taylor]: Taking taylor expansion of im in im 1.797 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.797 * [taylor]: Taking taylor expansion of -1 in im 1.797 * [taylor]: Taking taylor expansion of im in im 1.800 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.800 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.800 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.800 * [taylor]: Taking taylor expansion of -1 in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.801 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.801 * [taylor]: Taking taylor expansion of -1 in re 1.801 * [taylor]: Taking taylor expansion of re in re 1.801 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.801 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.801 * [taylor]: Taking taylor expansion of -1 in re 1.801 * [taylor]: Taking taylor expansion of im in re 1.801 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.801 * [taylor]: Taking taylor expansion of -1 in re 1.801 * [taylor]: Taking taylor expansion of im in re 1.804 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.804 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.804 * [taylor]: Taking taylor expansion of re in re 1.804 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.804 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.804 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.804 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.804 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.804 * [taylor]: Taking taylor expansion of -1 in re 1.804 * [taylor]: Taking taylor expansion of re in re 1.805 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.805 * [taylor]: Taking taylor expansion of -1 in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.805 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.805 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.805 * [taylor]: Taking taylor expansion of -1 in re 1.805 * [taylor]: Taking taylor expansion of im in re 1.805 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.805 * [taylor]: Taking taylor expansion of -1 in re 1.805 * [taylor]: Taking taylor expansion of im in re 1.808 * [taylor]: Taking taylor expansion of 2 in im 1.809 * [taylor]: Taking taylor expansion of 0 in im 1.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.812 * [taylor]: Taking taylor expansion of 1/2 in im 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.812 * [taylor]: Taking taylor expansion of im in im 1.817 * [taylor]: Taking taylor expansion of 0 in im 1.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.819 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in (re im) around 0 1.819 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in im 1.819 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.819 * [taylor]: Taking taylor expansion of 1/3 in im 1.819 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.819 * [taylor]: Taking taylor expansion of 2.0 in im 1.823 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.823 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.823 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.823 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.823 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.823 * [taylor]: Taking taylor expansion of (* re re) in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.823 * [taylor]: Taking taylor expansion of (* im im) in im 1.823 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of re in im 1.828 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in re 1.828 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.828 * [taylor]: Taking taylor expansion of 1/3 in re 1.828 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.829 * [taylor]: Taking taylor expansion of 2.0 in re 1.832 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.832 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.832 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.832 * [taylor]: Taking taylor expansion of (* re re) in re 1.832 * [taylor]: Taking taylor expansion of re in re 1.832 * [taylor]: Taking taylor expansion of re in re 1.832 * [taylor]: Taking taylor expansion of (* im im) in re 1.832 * [taylor]: Taking taylor expansion of im in re 1.832 * [taylor]: Taking taylor expansion of im in re 1.833 * [taylor]: Taking taylor expansion of re in re 1.834 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in re 1.834 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.834 * [taylor]: Taking taylor expansion of 1/3 in re 1.834 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.834 * [taylor]: Taking taylor expansion of 2.0 in re 1.838 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.838 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.838 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.838 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.838 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.838 * [taylor]: Taking taylor expansion of (* re re) in re 1.838 * [taylor]: Taking taylor expansion of re in re 1.838 * [taylor]: Taking taylor expansion of re in re 1.838 * [taylor]: Taking taylor expansion of (* im im) in re 1.838 * [taylor]: Taking taylor expansion of im in re 1.838 * [taylor]: Taking taylor expansion of im in re 1.839 * [taylor]: Taking taylor expansion of re in re 1.841 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt im)) in im 1.841 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.841 * [taylor]: Taking taylor expansion of 1/3 in im 1.841 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.841 * [taylor]: Taking taylor expansion of 2.0 in im 1.844 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.844 * [taylor]: Taking taylor expansion of im in im 1.861 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im))))) in im 1.861 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im)))) in im 1.861 * [taylor]: Taking taylor expansion of 1/2 in im 1.861 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im))) in im 1.861 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.861 * [taylor]: Taking taylor expansion of 1/3 in im 1.861 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.861 * [taylor]: Taking taylor expansion of 2.0 in im 1.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.865 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.865 * [taylor]: Taking taylor expansion of im in im 1.902 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in (re im) around 0 1.902 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in im 1.903 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.903 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.903 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.903 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.903 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.903 * [taylor]: Taking taylor expansion of re in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.903 * [taylor]: Taking taylor expansion of re in im 1.903 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.907 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.907 * [taylor]: Taking taylor expansion of 1/3 in im 1.907 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.907 * [taylor]: Taking taylor expansion of 2.0 in im 1.911 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in re 1.911 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.911 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.911 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.911 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.911 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.911 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.911 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.911 * [taylor]: Taking taylor expansion of re in re 1.912 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.912 * [taylor]: Taking taylor expansion of re in re 1.912 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.912 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.912 * [taylor]: Taking taylor expansion of im in re 1.912 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.912 * [taylor]: Taking taylor expansion of im in re 1.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.915 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.920 * [taylor]: Taking taylor expansion of 1/3 in re 1.920 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.920 * [taylor]: Taking taylor expansion of 2.0 in re 1.924 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in re 1.924 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.924 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.924 * [taylor]: Taking taylor expansion of im in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.924 * [taylor]: Taking taylor expansion of im in re 1.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.927 * [taylor]: Taking taylor expansion of re in re 1.932 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.933 * [taylor]: Taking taylor expansion of 1/3 in re 1.933 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.933 * [taylor]: Taking taylor expansion of 2.0 in re 1.937 * [taylor]: Taking taylor expansion of 0 in im 1.940 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 1.940 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 1.940 * [taylor]: Taking taylor expansion of +nan.0 in im 1.940 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 1.940 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.940 * [taylor]: Taking taylor expansion of 1/3 in im 1.940 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.940 * [taylor]: Taking taylor expansion of 2.0 in im 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.949 * [taylor]: Taking taylor expansion of im in im 1.965 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))) in im 1.965 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))) in im 1.965 * [taylor]: Taking taylor expansion of +nan.0 in im 1.965 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))) in im 1.965 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.965 * [taylor]: Taking taylor expansion of 1/3 in im 1.965 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.965 * [taylor]: Taking taylor expansion of 2.0 in im 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.969 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.969 * [taylor]: Taking taylor expansion of im in im 2.009 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))))) in im 2.009 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))))) in im 2.009 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) in im 2.009 * [taylor]: Taking taylor expansion of +nan.0 in im 2.009 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6))) in im 2.009 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.009 * [taylor]: Taking taylor expansion of 1/3 in im 2.009 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.009 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.009 * [taylor]: Taking taylor expansion of 2.0 in im 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.013 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.013 * [taylor]: Taking taylor expansion of im in im 2.014 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))) in im 2.014 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))) in im 2.014 * [taylor]: Taking taylor expansion of +nan.0 in im 2.014 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))) in im 2.014 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.014 * [taylor]: Taking taylor expansion of 1/3 in im 2.014 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.014 * [taylor]: Taking taylor expansion of 2.0 in im 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.018 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.098 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 2.098 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.098 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.098 * [taylor]: Taking taylor expansion of 1/3 in im 2.098 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.098 * [taylor]: Taking taylor expansion of 2.0 in im 2.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.102 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.102 * [taylor]: Taking taylor expansion of re in im 2.102 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.102 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.102 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.102 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.102 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.102 * [taylor]: Taking taylor expansion of -1 in im 2.102 * [taylor]: Taking taylor expansion of re in im 2.102 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.102 * [taylor]: Taking taylor expansion of -1 in im 2.102 * [taylor]: Taking taylor expansion of re in im 2.102 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.102 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.102 * [taylor]: Taking taylor expansion of -1 in im 2.102 * [taylor]: Taking taylor expansion of im in im 2.102 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.102 * [taylor]: Taking taylor expansion of -1 in im 2.102 * [taylor]: Taking taylor expansion of im in im 2.107 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.107 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.107 * [taylor]: Taking taylor expansion of 1/3 in re 2.107 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.107 * [taylor]: Taking taylor expansion of 2.0 in re 2.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.116 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.116 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.116 * [taylor]: Taking taylor expansion of re in re 2.117 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.117 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.117 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.117 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.117 * [taylor]: Taking taylor expansion of -1 in re 2.117 * [taylor]: Taking taylor expansion of re in re 2.117 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.117 * [taylor]: Taking taylor expansion of -1 in re 2.117 * [taylor]: Taking taylor expansion of re in re 2.118 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of im in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of im in re 2.122 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.122 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.122 * [taylor]: Taking taylor expansion of 1/3 in re 2.122 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.122 * [taylor]: Taking taylor expansion of 2.0 in re 2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.126 * [taylor]: Taking taylor expansion of re in re 2.126 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.126 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.126 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.126 * [taylor]: Taking taylor expansion of -1 in re 2.126 * [taylor]: Taking taylor expansion of re in re 2.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.126 * [taylor]: Taking taylor expansion of -1 in re 2.126 * [taylor]: Taking taylor expansion of re in re 2.127 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.127 * [taylor]: Taking taylor expansion of -1 in re 2.127 * [taylor]: Taking taylor expansion of im in re 2.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.127 * [taylor]: Taking taylor expansion of -1 in re 2.127 * [taylor]: Taking taylor expansion of im in re 2.131 * [taylor]: Taking taylor expansion of 0 in im 2.135 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 1/3))) in im 2.136 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.136 * [taylor]: Taking taylor expansion of +nan.0 in im 2.136 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.136 * [taylor]: Taking taylor expansion of 1/3 in im 2.136 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.136 * [taylor]: Taking taylor expansion of 2.0 in im 2.149 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 1/3))) in im 2.149 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.149 * [taylor]: Taking taylor expansion of +nan.0 in im 2.149 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.150 * [taylor]: Taking taylor expansion of 1/3 in im 2.150 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.150 * [taylor]: Taking taylor expansion of 2.0 in im 2.169 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))))) in im 2.169 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))))) in im 2.169 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.169 * [taylor]: Taking taylor expansion of +nan.0 in im 2.169 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.169 * [taylor]: Taking taylor expansion of 1/3 in im 2.169 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.169 * [taylor]: Taking taylor expansion of 2.0 in im 2.173 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.173 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.173 * [taylor]: Taking taylor expansion of +nan.0 in im 2.173 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.173 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.173 * [taylor]: Taking taylor expansion of 1/3 in im 2.173 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.173 * [taylor]: Taking taylor expansion of 2.0 in im 2.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.177 * [taylor]: Taking taylor expansion of im in im 2.212 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))))) in im 2.212 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))))) in im 2.212 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.212 * [taylor]: Taking taylor expansion of +nan.0 in im 2.212 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.212 * [taylor]: Taking taylor expansion of 1/3 in im 2.213 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.213 * [taylor]: Taking taylor expansion of 2.0 in im 2.216 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.216 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.216 * [taylor]: Taking taylor expansion of +nan.0 in im 2.216 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.216 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.216 * [taylor]: Taking taylor expansion of 1/3 in im 2.216 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.216 * [taylor]: Taking taylor expansion of 2.0 in im 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.220 * [taylor]: Taking taylor expansion of im in im 2.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.248 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 2.248 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 2.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.248 * [taylor]: Taking taylor expansion of 2.0 in im 2.248 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 2.249 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.249 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.249 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.249 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.249 * [taylor]: Taking taylor expansion of (* re re) in im 2.249 * [taylor]: Taking taylor expansion of re in im 2.249 * [taylor]: Taking taylor expansion of re in im 2.249 * [taylor]: Taking taylor expansion of (* im im) in im 2.249 * [taylor]: Taking taylor expansion of im in im 2.249 * [taylor]: Taking taylor expansion of im in im 2.250 * [taylor]: Taking taylor expansion of re in im 2.254 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 2.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.254 * [taylor]: Taking taylor expansion of 2.0 in re 2.255 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 2.255 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.255 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.255 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.255 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.255 * [taylor]: Taking taylor expansion of (* re re) in re 2.255 * [taylor]: Taking taylor expansion of re in re 2.255 * [taylor]: Taking taylor expansion of re in re 2.255 * [taylor]: Taking taylor expansion of (* im im) in re 2.255 * [taylor]: Taking taylor expansion of im in re 2.255 * [taylor]: Taking taylor expansion of im in re 2.256 * [taylor]: Taking taylor expansion of re in re 2.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 2.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.257 * [taylor]: Taking taylor expansion of 2.0 in re 2.258 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 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 2.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.261 * [taylor]: Taking taylor expansion of 2.0 in im 2.261 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.261 * [taylor]: Taking taylor expansion of im in im 2.265 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 2.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.265 * [taylor]: Taking taylor expansion of 1/2 in im 2.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.265 * [taylor]: Taking taylor expansion of 2.0 in im 2.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.266 * [taylor]: Taking taylor expansion of im in im 2.295 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.295 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 2.295 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.295 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.295 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.295 * [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 im 2.296 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.296 * [taylor]: Taking taylor expansion of re in im 2.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.296 * [taylor]: Taking taylor expansion of re in im 2.296 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.296 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.296 * [taylor]: Taking taylor expansion of im in im 2.296 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.296 * [taylor]: Taking taylor expansion of im in im 2.299 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.299 * [taylor]: Taking taylor expansion of re in im 2.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.300 * [taylor]: Taking taylor expansion of 2.0 in im 2.301 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.301 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.301 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.301 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.301 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.301 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.301 * [taylor]: Taking taylor expansion of re in re 2.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.302 * [taylor]: Taking taylor expansion of re in re 2.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.302 * [taylor]: Taking taylor expansion of im in re 2.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.302 * [taylor]: Taking taylor expansion of im in re 2.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.305 * [taylor]: Taking taylor expansion of re in re 2.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.310 * [taylor]: Taking taylor expansion of 2.0 in re 2.311 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.311 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.311 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.311 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.311 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.311 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.312 * [taylor]: Taking taylor expansion of re in re 2.312 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.312 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.312 * [taylor]: Taking taylor expansion of im in re 2.312 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.312 * [taylor]: Taking taylor expansion of im in re 2.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.320 * [taylor]: Taking taylor expansion of 2.0 in re 2.321 * [taylor]: Taking taylor expansion of 0 in im 2.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.322 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.322 * [taylor]: Taking taylor expansion of +nan.0 in im 2.322 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.322 * [taylor]: Taking taylor expansion of 2.0 in im 2.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.323 * [taylor]: Taking taylor expansion of im in im 2.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.331 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.331 * [taylor]: Taking taylor expansion of +nan.0 in im 2.331 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.331 * [taylor]: Taking taylor expansion of 2.0 in im 2.331 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.331 * [taylor]: Taking taylor expansion of im in im 2.348 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.349 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.349 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.349 * [taylor]: Taking taylor expansion of +nan.0 in im 2.349 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.349 * [taylor]: Taking taylor expansion of 2.0 in im 2.349 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.350 * [taylor]: Taking taylor expansion of im in im 2.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.351 * [taylor]: Taking taylor expansion of +nan.0 in im 2.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.351 * [taylor]: Taking taylor expansion of 2.0 in im 2.351 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.351 * [taylor]: Taking taylor expansion of im in im 2.383 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 2.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.383 * [taylor]: Taking taylor expansion of 2.0 in im 2.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.384 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.384 * [taylor]: Taking taylor expansion of re in im 2.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.384 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.384 * [taylor]: Taking taylor expansion of -1 in im 2.384 * [taylor]: Taking taylor expansion of re in im 2.384 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.385 * [taylor]: Taking taylor expansion of -1 in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.389 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.389 * [taylor]: Taking taylor expansion of 2.0 in re 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 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)) in re 2.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.391 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.391 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.391 * [taylor]: Taking taylor expansion of -1 in re 2.391 * [taylor]: Taking taylor expansion of re in re 2.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.391 * [taylor]: Taking taylor expansion of -1 in re 2.391 * [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 -1 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 -1 in re 2.391 * [taylor]: Taking taylor expansion of im in re 2.395 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.396 * [taylor]: Taking taylor expansion of 2.0 in re 2.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.396 * [taylor]: Taking taylor expansion of re in re 2.397 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.397 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.397 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.397 * [taylor]: Taking taylor expansion of -1 in re 2.397 * [taylor]: Taking taylor expansion of re in re 2.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.397 * [taylor]: Taking taylor expansion of -1 in re 2.397 * [taylor]: Taking taylor expansion of re in re 2.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.398 * [taylor]: Taking taylor expansion of -1 in re 2.398 * [taylor]: Taking taylor expansion of im in re 2.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.398 * [taylor]: Taking taylor expansion of -1 in re 2.398 * [taylor]: Taking taylor expansion of im in re 2.402 * [taylor]: Taking taylor expansion of 0 in im 2.404 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.404 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.404 * [taylor]: Taking taylor expansion of +nan.0 in im 2.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.404 * [taylor]: Taking taylor expansion of 2.0 in im 2.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.409 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.409 * [taylor]: Taking taylor expansion of +nan.0 in im 2.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.409 * [taylor]: Taking taylor expansion of 2.0 in im 2.418 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.419 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.419 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.419 * [taylor]: Taking taylor expansion of +nan.0 in im 2.419 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.419 * [taylor]: Taking taylor expansion of 2.0 in im 2.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.419 * [taylor]: Taking taylor expansion of im in im 2.420 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.420 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.420 * [taylor]: Taking taylor expansion of +nan.0 in im 2.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.420 * [taylor]: Taking taylor expansion of 2.0 in im 2.432 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.432 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.432 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.433 * [taylor]: Taking taylor expansion of +nan.0 in im 2.433 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.433 * [taylor]: Taking taylor expansion of 2.0 in im 2.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.433 * [taylor]: Taking taylor expansion of im in im 2.434 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.434 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.434 * [taylor]: Taking taylor expansion of +nan.0 in im 2.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.434 * [taylor]: Taking taylor expansion of 2.0 in im 2.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1) 2.448 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.448 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.448 * [taylor]: Taking taylor expansion of (* re re) in im 2.448 * [taylor]: Taking taylor expansion of re in im 2.448 * [taylor]: Taking taylor expansion of re in im 2.448 * [taylor]: Taking taylor expansion of (* im im) in im 2.448 * [taylor]: Taking taylor expansion of im in im 2.448 * [taylor]: Taking taylor expansion of im in im 2.450 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.450 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.450 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.450 * [taylor]: Taking taylor expansion of (* re re) in re 2.450 * [taylor]: Taking taylor expansion of re in re 2.450 * [taylor]: Taking taylor expansion of re in re 2.450 * [taylor]: Taking taylor expansion of (* im im) in re 2.450 * [taylor]: Taking taylor expansion of im in re 2.450 * [taylor]: Taking taylor expansion of im in re 2.451 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.451 * [taylor]: Taking taylor expansion of (* re re) in re 2.451 * [taylor]: Taking taylor expansion of re in re 2.451 * [taylor]: Taking taylor expansion of re in re 2.451 * [taylor]: Taking taylor expansion of (* im im) in re 2.451 * [taylor]: Taking taylor expansion of im in re 2.451 * [taylor]: Taking taylor expansion of im in re 2.453 * [taylor]: Taking taylor expansion of im in im 2.453 * [taylor]: Taking taylor expansion of 0 in im 2.454 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.454 * [taylor]: Taking taylor expansion of 1/2 in im 2.454 * [taylor]: Taking taylor expansion of im in im 2.456 * [taylor]: Taking taylor expansion of 0 in im 2.457 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.457 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.457 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.457 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.457 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.457 * [taylor]: Taking taylor expansion of re in im 2.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.457 * [taylor]: Taking taylor expansion of re in im 2.457 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.457 * [taylor]: Taking taylor expansion of im in im 2.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.458 * [taylor]: Taking taylor expansion of im in im 2.460 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.461 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.461 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.461 * [taylor]: Taking taylor expansion of re in re 2.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.461 * [taylor]: Taking taylor expansion of re in re 2.461 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.461 * [taylor]: Taking taylor expansion of im in re 2.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.461 * [taylor]: Taking taylor expansion of im in re 2.464 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.464 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.464 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.464 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 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 re) in re 2.464 * [taylor]: Taking taylor expansion of re in re 2.465 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.465 * [taylor]: Taking taylor expansion of im in re 2.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.465 * [taylor]: Taking taylor expansion of im in re 2.468 * [taylor]: Taking taylor expansion of 1 in im 2.468 * [taylor]: Taking taylor expansion of 0 in im 2.477 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.477 * [taylor]: Taking taylor expansion of 1/2 in im 2.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.477 * [taylor]: Taking taylor expansion of im in im 2.481 * [taylor]: Taking taylor expansion of 0 in im 2.482 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.482 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.483 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.483 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.483 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.483 * [taylor]: Taking taylor expansion of -1 in im 2.483 * [taylor]: Taking taylor expansion of re in im 2.483 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.483 * [taylor]: Taking taylor expansion of -1 in im 2.483 * [taylor]: Taking taylor expansion of re in im 2.483 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.483 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.483 * [taylor]: Taking taylor expansion of -1 in im 2.483 * [taylor]: Taking taylor expansion of im in im 2.483 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.483 * [taylor]: Taking taylor expansion of -1 in im 2.483 * [taylor]: Taking taylor expansion of im in im 2.486 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.486 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.486 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.486 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.486 * [taylor]: Taking taylor expansion of -1 in re 2.486 * [taylor]: Taking taylor expansion of re in re 2.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.487 * [taylor]: Taking taylor expansion of -1 in re 2.487 * [taylor]: Taking taylor expansion of re in re 2.487 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.487 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.487 * [taylor]: Taking taylor expansion of -1 in re 2.487 * [taylor]: Taking taylor expansion of im in re 2.487 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.487 * [taylor]: Taking taylor expansion of -1 in re 2.487 * [taylor]: Taking taylor expansion of im in re 2.490 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.490 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.490 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.490 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.490 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.490 * [taylor]: Taking taylor expansion of -1 in re 2.490 * [taylor]: Taking taylor expansion of re in re 2.490 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.490 * [taylor]: Taking taylor expansion of -1 in re 2.490 * [taylor]: Taking taylor expansion of re in re 2.491 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.491 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.491 * [taylor]: Taking taylor expansion of -1 in re 2.491 * [taylor]: Taking taylor expansion of im in re 2.491 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.491 * [taylor]: Taking taylor expansion of -1 in re 2.491 * [taylor]: Taking taylor expansion of im in re 2.494 * [taylor]: Taking taylor expansion of 1 in im 2.494 * [taylor]: Taking taylor expansion of 0 in im 2.496 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.496 * [taylor]: Taking taylor expansion of 1/2 in im 2.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.496 * [taylor]: Taking taylor expansion of im in im 2.501 * [taylor]: Taking taylor expansion of 0 in im 2.502 * * * [progress]: simplifying candidates 2.503 * [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 (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (log1p (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (exp (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt 2.0)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt 1)) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (cbrt (sqrt 2.0)) (sqrt 1)) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) 1) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (cbrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (cbrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (log1p (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re))))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re))))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (log (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (exp (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (* (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (pow (hypot re im) 3) (pow re 3))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* im re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (pow im 2))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) im))))))) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow re 2)))) (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 re)))))))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) im re (* -1 re) 2.511 * * [simplify]: iteration 0 : 456 enodes (cost 991 ) 2.519 * * [simplify]: iteration 1 : 1898 enodes (cost 770 ) 2.566 * * [simplify]: iteration 2 : 5002 enodes (cost 709 ) 2.570 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (* -1 re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (log1p (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (exp (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (pow (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) 3) (* (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (pow (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) 3) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (pow (sqrt 2.0) 1/3)) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (pow (sqrt 2.0) 1/3) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (pow (sqrt 2.0) 1/3) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (pow (sqrt 2.0) 1/3) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (cbrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (cbrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (log1p (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (pow (exp (sqrt (- (hypot re im) re))) (pow (pow (sqrt 2.0) 1/3) 3)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt 2.0) (* (sqrt (- (hypot re im) re)) (pow (sqrt 2.0) 2/3)) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (pow (pow (sqrt 2.0) 1/3) 3)) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (pow (pow (sqrt 2.0) 1/3) 3)) (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) (fma (- (* +nan.0 (pow (sqrt 2.0) 1/3))) (* im re) (* (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (pow im 2) im))) 0 (fma (- +nan.0) (/ (pow (sqrt 2.0) 1/3) (pow re 2)) (* +nan.0 (+ (pow (sqrt 2.0) 1/3) (/ (- (pow (sqrt 2.0) 1/3)) 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)))) im re (* -1 re) 2.571 * * * [progress]: adding candidates to table 2.829 * [progress]: [Phase 3 of 3] Extracting. 2.829 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.832 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.832 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.881 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.930 * * * [regime]: Found split indices: #